what information can be inferred (deduced) from the graphs you created? can you predict what the graphs would look like if you had polled 100 people? be specific in your explanations- this answer should be 6 thoughtful sentences long.
Answers
The information inferred from the graphs includes the overall trend, frequency of responses, and distribution of data, and predicting what the graphs would look like if we polled 100 people depends on factors such as sample population, question being asked, and range of possible responses.
From the graphs created, we can infer several things such as the overall trend, frequency of responses, and distribution of the data. For instance, if the graphs depict a bell-shaped curve, we can conclude that the responses were normally distributed, and that most people fell within the average range of responses. Conversely, if the graphs show a skewed distribution, it can indicate that a particular response was more common among the participants. We can also deduce from the graphs which response was the most popular and which was the least popular.
As for predicting what the graphs would look like if we polled 100 people, it would depend on various factors such as the sample population, the question being asked, and the range of possible responses. However, we can assume that with a larger sample size, the graphs would provide a more accurate representation of the population as a whole, and the distribution of responses would be more normal.
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Related Questions
ANSWER QUICK ILL GIVE BRAINLIEST
(1.) What is the height of the cannon before it is launched, at t=0? Remember to include units.
(2.) A projectile's maximum height is shown by the vertex of the parabola. When does the cannonball reach its maximum height? Round to the nearest whole number and remember to include units.
(3.) What is the maximum height of the cannonball? Round to the nearest whole number and remember to include units.
(4.) How long does it take the cannonball to land on the ground? Round your answer to the nearest whole number and remember to include your units.
(5.) What would the equation be if the initial velocity was changed to 40.5 m/s but the initial height stays the same?
Answers
1. The cannonball is at 70 meters before it is launched.
2. The cannonball reaches its maximum height at about 3 seconds.
3. The maximum height of the cannonball is about 115 meters.
4. It takes about 8 seconds for the cannonball to reach the ground.
I don't know the answer to number 5 - sorry :(
I hope the rest are correct
unit 7 test polygons and quadrilaterals
Answers
3. The measure of angle S in the given pentagon is 155.33 degrees. 4. The value of x is 9. 5. The value of x is 40 degrees. 6. The value of angle C is 33 degrees. 7. The polygon has 30 sides.
What is pentagon?A polygon having 5 sides and 5 angles is called a pentagon. Two terms, Penta and Gonia, both of which denote five angles, combine to form the word "pentagon." End to end, the sides of a pentagon come together to form a shape. Every side of a regular pentagon has the same length, and its five angles are all the same size. A pentagon is said to as irregular if its side length and angle measurement are not equal.
The sum of angles of a pentagon is equal to 540 degrees.
Thus,
5x + 2 + 10x - 3 + 8x - 19 + 13x - 31 + 7x - 11 = 540
42x - 62 = 540
42x = 602
x = 14.33
The angle of s is:
13(x) - 31 = 13(14.33) - 31 = 155.33
Hence, the measure of angle S in the given pentagon is 155.33 degrees.
4. In a regular hexagon, each angle is equal, and the sum of all the angles is equal to 720 degrees.
6A = 720
A = 120
11x + 21 = 120
x = 9
5. The angle of a nonagon is 140 degrees.
Now, 140 + x = 180
x = 80 degrees.
6. For the given triangle we have:
exterior angle of C = D + E
Substituting the value of D and E as:
7x - 2 = 180 - 9x + 31 + 180 - 4x + 33
7x - 2 = 360 - 13x + 64
20x = 426
x = 21.3
Angle C = 180- (7(21.3) - 2) = 33 degrees.
7. single angle = (n-2) x 180 / n
168n = (n - 2) 180
168n = 180n - 360
360 = 12n
n = 30
The polygon has 30 sides.
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f(x)=2x^5−x^4+4x^3−3x^2−31x−5
. Find f(−3/2)
.
Answers
Answer:
f(-3/2) = -411/16.
Pls help ill give brainliest!
Answers
Answer:I only know that number 4 is yards i hope that is enough for now
Step-by-step explanation: in a game of soccer there are numbers that represent yards or any sport.
Step-by-step explanation:
a) The appropriate unit of measurement for the surface area of a tissue box could be square inches or square centimeters.
b) The appropriate unit of measurement for the amount of space in a gift box of earrings could be cubic inches or cubic centimeters.
c) The appropriate unit of measurement for the area of a parking lot could be square meters, square feet, depending on the size of the parking lot.
d) The appropriate unit of measurement for the length of a soccer field could be meters, yards or feet.
e) The appropriate unit of measurement for the volume of a medium-sized fish tank could be liters or cubic feet.
Bailey and Terrance were scuba diving near a coral reef and timed their ascents back to the surface. The points in the table represent Bailey's depth (relative to sea level) after x minutes. Two times and depths for Terrance's ascent were recorded as points. Assume the points lie on a line. Which diver ascended at a faster rate? How much faster did that diver ascend?
Answers
We can follow these steps using the points provided in the table and for Terrance to determine which diver ascended at a faster rate and by how much.
To determine which diver ascended at a faster rate, we need to calculate the slope of the line for each diver's ascent. The slope represents the rate of change in depth over time.
A steeper slope indicates a faster ascent.
Step 1: Find the slope of Bailey's ascent using the points given in the table.
we can use the slope formula:
(y2 - y1) / (x2 - x1).
Step 2: Find the slope of Terrance's ascent using the two points given for Terrance.
Step 3: Compare the slopes of both divers.
The diver with the steeper slope (greater slope value) ascended at a faster rate.
Step 4: To determine how much faster the faster diver ascended, subtract the smaller slope value from the larger slope value.
Without the actual data points, I cannot provide specific calculations.
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Since spring started, Kareem has been surveying the growth of leaves on his neighborhood trees. He goes out every day and computes the average number of leaves on a sample of trees. He created a scatter plot where the y-axis represents the average number of leaves on the trees, and the x-axis represents the number of weeks since spring started.
Use the 2 given points to write a linear equation that can be used to approximate the data distribution.
A
y = 1566.67x + 1716.67
B
y = 4700x + 1500
C
y = 3x + 2000
D
y = x + 1700
Based on the equation you created, what would be the expected average number of leaves on a tree 8 weeks after spring has started?
Answers
Answer:
a
Step-by-step explanation:
A tree should therefore have 38,900 leaves on average by the eighth week of spring.
what is linear equation ?An equation that depicts a linear model on a graph is referred to as a linear equation. This polynomial equation has a factor whose greatest power is one. The formula for a linear equation is y = mx + b, were x and y are factors, m is the line's gradient or slope, and b is the y-intercept, or the place where the line crosses the y-axis. The line's steepness is determined by its slope, and its point of intersection with the y-axis is indicated by its y-intercept. Science and mathematics both frequently model and examine relationships between variables using linear equations.
given
B is the right response for the linear equation y = 4700x + 1500, which can be used to approximate the data distribution.
We may enter x = 8 into the calculation to get the predicted average number of leaves on a tree 8 weeks after spring has begun:
y = 4700(8) + 1500
y = 38,900
A tree should therefore have 38,900 leaves on average by the eighth week of spring.
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An eyeglasses store is checking their inventory. The table shows the relationship between the number of days since the opening of the eyeglasses store and the total amount of sunglasses in their inventory.
Sunglasses Inventory:
Number of Days | Total Amount of Sunglasses
______
2 | 52
5 | 46
7 | 42
10 | 36
______
Which graph shows the relationship given in the table?
A) graph with the x axis labeled number of days and the y axis labeled total amount of
sunglasses and a line going from the point 0 comma 52 through the point 1
comma 50
B) graph with the x axis labeled number of days and the y axis labeled total amount of
sunglasses and a line going from the point 0 comma 56 through the point 1 comma
54
C) graph with the x axis labeled number of days and the y axis labeled total amount of
sunglasses and a line going from the point 0 comma 52 through the point 1
comma 49
D) graph with the x axis labeled number of days and the y axis labeled total amount
of sunglasses and a line going from the point 0 comma 56 through the point 1
comma 53
Answers
Therefore, the correct option is C). graph with the x axis labeled number of days and the y axis labeled total amount of
sunglasses and a line going from the point 0 comma 52 through the point (1,49).
What is graph?mathematics, a graph is a data structure that represents a collection of vertices (also known as nodes) and edges between them.
A graph can be used to represent a wide range of real-world systems, such as social networks, transportation networks, and electrical circuits.
In a graph, vertices are usually represented as points or circles, and edges are represented as lines or arrows that connect pairs of vertices. Each edge can be directed (pointing from one vertex to another) or undirected (connecting two vertices without any specific direction).
Graphs can be classified in many ways, such as by their density (the ratio of edges to vertices), their connectivity (how many separate components the graph has), and their degree distribution (the distribution of the number of edges connected to each vertex). Graph theory, which is the study of graphs, has many practical applications in computer science, mathematics, and other fields.
Which graph shows the relationship given in the table?
A) graph with the x axis labeled number of days and the y axis labeled total amount of
sunglasses and a line going from the point 0 comma 52 through the point 1 comma 50.
B) graph with the x axis labeled number of days and the y axis labeled total amount of
sunglasses and a line going from the point 0 comma 56 through the point (1,54)
C) graph with the x axis labeled number of days and the y axis labeled total amount of
sunglasses and a line going from the point 0 comma 52 through the point (1,49)
D) graph with the x axis labeled number of days and the y axis labeled total amount
of sunglasses and a line going from the point 0 comma 56 through the point (1,53)
Based on the given data in the table, the inventory of sunglasses decreases as the number of days since the opening of the eyeglasses store increases. This suggests a negative correlation between the two variables.
To visualize this relationship, we can plot the data points on a scatter plot and draw a line of best fit. Based on the options provided, the closest graph to the relationship given in the table is option C) with the x-axis labeled as number of days, the y-axis labeled as the total amount of sunglasses, and a line going from the point 0,52 through the point 1,49.
Option A) has a decreasing trend, but the line does not pass through all the given data points.
Option B) has a similar decreasing trend, but the values on the y-axis are higher than those in the table.
Option D) has a decreasing trend, but the values on the y-axis are higher than those in the table, and the line does not pass through all the given data points.
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suppose 56% of the population are more than 6 feet tall. if a random sample of size 643 is selected, what is the probability that the proportion of persons more than 6 feet tall will differ from the population proportion by more than 5% ? round your answer to four decimal places.
Answers
The probability that the proportion of persons more than 6 feet tall will differ from the population proportion by more than 5% is approximately 0.0456.
The standard error of the sample proportion is:
SE = √[(p × (1 - p)) / n]
where p is the population proportion, and n is the sample size.
Substituting the given values, we get:
SE = √[(0.56 × 0.44) / 643] ≈ 0.025
To find the probability that the sample proportion differs from the population proportion by more than 5%, we need to find the z-scores for the upper and lower bounds of the interval:
Lower bound: 0.56 - 0.05 = 0.51
Upper bound: 0.56 + 0.05 = 0.61
z_lower = (0.51 - 0.56) / 0.025 ≈ -2.00
z_upper = (0.61 - 0.56) / 0.025 ≈ 2.00
Using a standard normal distribution table or calculator, we can find the probabilities for these z-scores:
P(Z < -2.00) ≈ 0.0228
P(Z > 2.00) ≈ 0.0228
The probability that the sample proportion differs from the population proportion by more than 5% is the sum of these two probabilities:
P(|p - 0.56| > 0.05) = P(Z < -2.00) + P(Z > 2.00) ≈ 0.0456
Therefore, the probability that the proportion of persons more than 6 feet tall in a random sample of size 643 will differ from the population proportion by more than 5% is approximately 0.0456, rounded to four decimal places.
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Question 6(Multiple Choice Worth 1 points) (05.05 LC) Which of the following inequalities matches the graph? Ox≤5 0x25 Oy≤5 Oy25 -6-4 4 6 8 10 ▷
Answers
The corresponding inequality for this graph is
0 <= x <= 5
What is inequality?An inequality is a statement that two values are not necessarily equal. In other words, it expresses a relation between two quantities that can be either less than, greater than, less than or equal to, or greater than or equal to each other. Inequalities are typically written using symbols such as "<" (less than), ">" (greater than), "≤" (less than or equal to), and "≥" (greater than or equal to).
The graph represents a shaded rectangle with sides on the x and y axes, and with one corner at the origin (0,0). The top-right corner of the rectangle is at the point (5,5), and the sides of the rectangle are parallel to the axes.
The corresponding inequality for this graph is 0 <= x <= 5, which can be read as "x is greater than or equal to 0 and less than or equal to 5".
Therefore, the correct answer is:
0 <= x <= 5
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The complete question is:
Which of the following inequalities matches the graph?
Ox≤5
0<=x<=5
a chinese restaurant has a large goldfish pond. suppose that an inlet pipe and a hose together can fill the pond in hours. the inlet pipe alone can complete the job in one hour less time than the hose alone. find the time that the hose can complete the job alone and the time that the inlet pipe can complete the job alone.
Answers
So, the hose can complete the job alone in approximately 2.62 hours, and the inlet pipe can complete the job alone in approximately 1.62 hours.
Let the time it takes for the hose alone to fill the pond be H hours, and the time it takes for the inlet pipe alone be P hours. According to the given information:
1) P = H - 1 (The inlet pipe alone can complete the job in one hour less time than the hose alone)
2) In one hour, the hose fills 1/H of the pond, and the inlet pipe fills 1/P of the pond. Together, they can fill the pond in one hour, so: (1/H) + (1/P) = 1
Now, substitute the value of P from equation 1 into equation 2:
(1/H) + (1/(H-1)) = 1
To solve for H, first find a common denominator (H*(H-1)):
(H-1) + H = H*(H-1)
Combine the terms on the left:
2H - 1 = H^2 - H
Rearrange to form a quadratic equation:
H^2 - 3H + 1 = 0
Now, solve the quadratic equation using the quadratic formula:
[tex]H = (3 + sqrt(5))/2 or H = (3 - sqrt(5))/2[/tex]
However, since H > 0, the only valid solution is H = (3 + sqrt(5))/2 ≈ 2.62 hours.
Now, find the time it takes for the inlet pipe alone to complete the job:
P = H - 1 = 2.62 - 1 = 1.62 hours
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Fill in the blank with an integer so that the given list has an average of 12.
13, 15, 9, 5, 10, ...
Answers
Answer:
We can use the formula for the average (arithmetic mean) of a set of numbers to solve this problem:
average = (sum of numbers) / (number of numbers)Let's call the missing number x. Then the sum of the numbers in the list is:
13 + 15 + 9 + 5 + 10 + xWe want the average of this list to be 12, so we can set up the following equation:
12 = (13 + 15 + 9 + 5 + 10 + x) / 6Multiplying both sides by 6, we get:
72 = 52 + xSubtracting 52 from both sides, we get:
x = 20Therefore, the missing number is 20, and the complete list is:
13, 15, 9, 5, 10, 20The average of this list is:
average = (13 + 15 + 9 + 5 + 10 + 20) / 6average = 72 / 6average = 12So the list now has an average of 12.
Reflect triangle ABC over the line y = 2. Translate the image by the directed line segment from (0,0) to (3,2). What are the coordinates of the vertices in the final image?
Answers
The coordinates of the triangle's image in the question serve as an example of transformation and are A(-2,4), B (-3,7), and C (0,6).
The triangle's coordinates are as follows:
(-6,-1), (-5,2) and (-3,0) (-3,0)
The new points are created when the triangle is mirrored over the line y = 2.
(-6,5), (-5,2) and (-3,4) (-3,4)
Then, we use the translation to translate the triangle's picture.
(x,y) -> (x + 3, y +2)
We thus have:
(-6,5) => (-6 + 3, 5 + 2) = (-3,7) (-3,7)
(-5,2) => (-5 + 3, 2 + 2) = (-2,4) (-2,4)
(-3,4) => (-3 + 3, 4 + 2) = (0,6) (0,6)
Hence, the triangle's image's coordinates are A(-2,4), B (-3,7), and C (0,6) respectively.
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Two geometric progressions have equal sums to infinity. Their first terms are 25 and 40 respectively. if the common ratio of the first is 1/2 what is the common ratio of the second point?
Answers
The common ratio of the second geometric progression is 1/5.
What is Geometric Progression?A geometric progression or a geometric sequence is the sequence, in which each term is varied by another by a common ratio. The next term of the sequence is produced when we multiply a constant (which is non-zero) to the preceding term. It is represented by:
a, ar, ar2, ar3, ar4, and so on.
Equation:Let the common ratio of the second geometric progression be r. Then the sum to infinity of the first progression is:
S1 = a1/(1 - r1), where a1 = 25 and r1 = 1/2
And the sum to infinity of the second progression is:
S2 = a2/(1 - r), where a2 = 40 and r is the common ratio of the second progression
We know that S1 = S2, so we can set the two expressions equal to each other:
S1 = S2
a1/(1 - r1) = a2/(1 - r)
Substituting the given values:
25/(1 - 1/2) = 40/(1 - r)
Simplifying:
50 = 40/(1 - r)
Multiplying both sides by (1 - r):
50 - 50r = 40
Subtracting 50 from both sides:
-50r = -10
Dividing both sides by -50:
r = 1/5
Therefore, the common ratio of the second geometric progression is 1/5.
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5. From a stack of 100 paper plates,
42 were used at a picnic. What
portion of the paper plates were
used?
Answers
Step-by-step explanation:
42/100 = 21/50 about 42%
In order to solve the equation 9x=−3(x+1/3y) for y , a student simplifies the equation as shown: Step 1: 9x=−3x+−3(1/3y) Step 2: 9x=−3x+−y Step 3: 9x−3x=−y Step 4: 6x=−y Step 5: y=−6x Which statement describes the error the student made in simplifying the equation?
Answers
The error the student made was not correctly distributing the -3 to the second term (1/3y) inside the parenthesis in Step 1. The student incorrectly wrote -3(1/3y) as -3y instead of -y.
By correctly distributing the -3, the proper simplification would lead to the final answer of y = -12x.
The error the student made in simplifying the equation occurred in Step 1.
To solve the equation 9x = -3(x + 1/3y) for y is as follows:
Step 1: Distribute the -3 to both terms inside the parenthesis:
9x = -3x - y
Step 2: Add 3x to both sides of the equation to isolate the term with y:
9x + 3x = -y
Step 3: Simplify the equation by combining like terms:
12x = -y
Step 4: To solve for y, multiply both sides of the equation by -1:
y = -12x.
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PART A: A can of cat food measures 1" tall and a diameter of 3.5". What is the volume of cat food in the can? To solve Give your answer in cubic inches. Round to the nearest hundredth.
PART B: Cat food is sold by ounces (weight).
If the can holds 5.8 ounces, write a ratio to show cubic inches (your answer from slide 3) to ounces.
Answers
Part A:The volume of cat food in the can is approximately 9.62 cubic inches.
Part B:The ratio of cubic inches to ounces is approximately 1.66:1.
What is volume?Volume is a measure of the amount of space occupied by an object or a substance. It is the quantity of three-dimensional space enclosed by a closed surface or bounded by a given set of points. Volume is typically measured in cubic units, such as cubic meters (m³) or cubic centimeters (cm³).
PART A:
The volume of a cylinder can be calculated using the formula V = πr²h, where V is the volume, r is the radius, and h is the height. Since the diameter of the can is 3.5 inches, the radius is half of that, or 1.75 inches. The height of the can is 1 inch.
Plugging these values into the formula, we get:
V = π(1.75)²(1)
V ≈ 9.62 cubic inches
Therefore, the volume of cat food in the can is approximately 9.62 cubic inches.
PART B:
To write a ratio of cubic inches to ounces, we need to divide the volume of the can (in cubic inches) by the weight of the cat food (in ounces):
Ratio = Volume of cat food in can (cubic inches) / Weight of cat food (ounces)
Ratio = 9.62 cubic inches / 5.8 ounces
Ratio ≈ 1.66 cubic inches per ounce
Therefore, the ratio of cubic inches to ounces is approximately 1.66:1.
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acellus algebra 2. piece wised functions.
find f(-2) for the piece wised function
Answers
[tex]f(-2) = -4[/tex] for the given piecewise function by using the equation [tex]f(x) = x - 2[/tex] if [tex]x < 3.[/tex]
What is the piecewise function?A piecewise function is a mathematical function that is defined differently on different parts of its domain.
Instead of having a single formula that applies to the entire domain, a piecewise function has multiple formulas, each applying to a specific interval or subset of the domain.
To find f(-2) for the given piecewise function, we need to determine which piece applies to the input value o [tex]f -2[/tex], which is less than 3. Therefore, we use the first piece of the function, which is[tex]f(x) = x - 2 if x < 3.[/tex]
Substituting x = -2 into this piece, we get:
[tex]f(-2) = (-2) - 2 = -4[/tex]
Therefore, f(-2) = -4 for the given piecewise function.
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For the circle with equation (x-2)² + (y+3)² = 9, what are the center coordinates?
Answers
Answer:
[tex]\large\boxed{(2, -3)}[/tex]
Step-by-step explanation:
[tex]\textsf{We are asked for the Center Coordinates given a circle.}[/tex]
[tex]\large\underline{\textsf{What is a Circle?}}[/tex]
[tex]\textsf{A Circle is a curved shape that is commonly used to present a equidistant (same}[/tex]
[tex]\textsf{distance apart) from a Center point.}[/tex]
[tex]\textsf{When we create an equation for a circle, we should keep in mind of what the}[/tex]
[tex]\textsf{coordinates of the center point are, and the Radius. For this problem an equation}[/tex]
[tex]\textsf{has been given to us.}[/tex]
[tex]\boxed{\begin{minipage}{20 em} \\ \underline{\textsf{\large Equation of a Circle (Standard Form);}} \\ \\ \tt \tt (x-h)^{2} + (\tt y-k)^{2} = r^{2} \\ \\ \underline{\textsf{\large Where;}} \\ \textsf{h represents the x-coordinate of the center.} \\ \textsf{k represents the y-coordinate of the center.} \\ \tt r^{2} \ \textsf{represents the radius of a circle squared.} \end{minipage}}[/tex]
[tex]\textsf{*Note that if we are given the formula, the radius is already squared, unless}[/tex]
[tex]\textsf{specified in the directions.}[/tex]
[tex]\tt (x-2)^{2} + (y+3)^{2} = 9[/tex]
[tex]\textsf{Our main focus should be h and k. Notice how both point values are negative.}[/tex]
[tex]\textsf{The Center Point is represented as the opposite given to us in the formula.}[/tex]
[tex]\underline{\textsf{Find the Opposite of -2 and 3;}}[/tex]
[tex]\tt -2 \rightarrow \boxed{2}[/tex]
[tex]3 \rightarrow \boxed{-3}[/tex]
[tex]\underline{\textsf{Center Coordinates;}}[/tex]
[tex]\large\boxed{(2, -3)}[/tex]
Assume all lines that appear parallel, are parallel. Solve for x.
Answers
Value of variable x in the given triangle is 10 units.
Define triangle proportionalityTriangle proportionality refers to the relationship between the sides of two similar triangles. Similar triangles are those that have the same shape but may differ in size.
In similar triangles, the corresponding sides are in proportion, which means that the ratio of the lengths of any two corresponding sides is equal to the ratio of the lengths of any other pair of corresponding sides.
In the given figure;
Two lines of the triangle are parallel
By triangle proportionality rule,
AB/AC=AD/AE
7.6/11.6=19/19+x
7.6(19+x)=19×11.6
x=29-19
x=10
hence, value of variable x in the given triangle is 10 units.
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Which statements about the function y = x ^ 2 - 6x + 8 are true?
Answers
Answer:
There are multiple statements that can be made about the function y = x^2 - 6x + 8. Here are a few examples: 1. The function is a quadratic function, meaning it is a polynomial of degree 2. 2. The coefficient of the x^2 term is positive, which means the function opens upwards and has a minimum value. 3. The function intersects the y-axis at y = 8. 4. To find the x-coordinate of the vertex of the parabola, we can use the formula x = -b/(2a), where a is the coefficient of the x^2 term and b is the coefficient of the x term. In this case, a = 1 and b = -6, so x = 3. This means the vertex is at the point (3, 1). 5. The function can be factored
Solve using substitution.
y = 5x - 9
y = -2x + 5
Answers
Answer:
(2,1) (2,1)
1=5(2)-9 1=-2(2)+5
1=10-9 1=-4+5
Step-by-step explanation:
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A new social media site is increasing its user base by approximately 3% per month. If the site currently has 37,030 users, what will the approximate user base be 7 months from now?
Answers
In exponential function , after 7 moths approximate user is 45542.
What is exponential function?
A mathematical function called an exponential function is employed frequently in everyday life. It is mostly used to compute investments, model populations, determine exponential decline or exponential growth, and so forth.
Here Number of current used = 37,030.
A new social media site is increasing its user base by approximately 3% per month then after 7 month,
Using exponential growth formula then,
=> f(x)=a([tex]1+r)^x[/tex]
=> 37030(1+3%[tex])^7[/tex]
=> 37030[tex](1+\frac{3}{100})^7[/tex]
=> 37030[tex](1+0.03)^7[/tex]
=> 37030[tex](1.03)^7[/tex]
=> 45542
Hence in 7 moths approximate user is 45542.
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Tamika got a raise in her hourly pay from 15.50 to 17.75 find the percent increase
Answers
Answer:
Step-by-step explanation:
14.516129%
For the circle with equation (x-2)^2 + (y+3)^2 = 9, what is the radius?
Answers
Answer:
The equation of the given circle is (x-2)^2 + (y+3)^2 = 9, which is in the standard form of a circle: (x - h)^2 + (y - k)^2 = r^2, where (h, k) is the center of the circle and r is the radius.
Comparing the given equation with the standard form, we can see that the center of the circle is (2, -3) and the radius is 3.
Therefore, the radius of the circle is 3 units.
There are c counters in a box
11 of the counters are green
Benedict takes out 20 counters at random from the box
4 of these counters are green
Work out an estimate for the value of c
Answers
Answer:
The answer to your problem is, There are total 55 counters out of which 11 are green and 44 are other color.
Step-by-step explanation:
This is a ratio and proportion question. There are c amount of counters in the box
same ratio as in the box
Green : total
4: 20
11: x
Use cross product rule
x * 4= 20 *11
x= 20*11/4
x= 55. Which is the answer.
So there are total 55 counters out of which 11 are green and 44 are other color. Benedict take 20 counters out of which 4 are green.
Thus the answer to your problem is, There are total 55 counters out of which 11 are green and 44 are other color.
solve the equation
1. 4x^2-4x-24=0
2. 3p^2-5p-28=0
Answers
4(x^2-x-6) = 0
Next, we can factor the quadratic expression in the parentheses:
4(x-3)(x+2) = 0
This gives us two solutions:
x-3 = 0, so x = 3
x+2 = 0, so x = -2
Therefore, the solutions to the equation 4x^2-4x-24=0 are x=3 and x=-2.
To solve the equation 3p^2-5p-28=0, we can use the quadratic formula:
p = (-b ± sqrt(b^2-4ac)) / 2a
where a = 3, b = -5, and c = -28. Substituting these values, we get:
p = (-(-5) ± sqrt((-5)^2-4(3)(-28))) / 2(3)
Simplifying:
p = (5 ± sqrt(289)) / 6
p = (5 ± 17) / 6
Therefore, the solutions to the equation 3p^2-5p-28=0 are p = 6 and p = -4/3.
1. x = 3 and x = -2.
2. p = 4/3 and p = -7/3.
Step-by-step Explanation:
4x^2-4x-24=0
First, we need to factor out the greatest common factor, which is 4:
4(x^2 - x - 6) = 0
Next, we can factor the quadratic expression inside the parentheses:
4(x - 3)(x + 2) = 0
Now we can use the zero product property, which states that if the product of two factors is 0, then at least one of the factors must be 0. So we set each factor equal to 0 and solve for x:
x - 3 = 0 or x + 2 = 0
x = 3 or x = -2
Therefore, the solutions to the equation 4x^2-4x-24=0 are x = 3 and x = -2.
3p^2-5p-28=0
To solve this quadratic equation, we can use the quadratic formula:
p = (-b ± √(b^2 - 4ac)) / 2a
where a, b, and c are the coefficients of the quadratic equation ax^2 + bx + c = 0.
In this case, a = 3, b = -5, and c = -28. So we have:
p = (-(-5) ± √((-5)^2 - 4(3)(-28))) / (2(3))
p = (5 ± √(25 + 336)) / 6
p = (5 ± √361) / 6
p = (5 ± 19) / 6
p = 4/3 or p = -7/3
Therefore, the solutions to the equation 3p^2-5p-28=0 are p = 4/3 and p = -7/3.
Sylvia earns commission on insurance sales. She sold a plan that costs 6,000 per year. Based on the chart, how much commission will Sylvia earn from this sale over the first three years?
Answers
The total commission Sylvia will earn over the first three years is $1,500.
Let's assume the commission rates are X% for the first year, Y% for the second year, and Z% for the third year.
Calculate the yearly commission amounts
To calculate Sylvia's yearly commission, we'll multiply the insurance plan cost (6,000) by the respective commission rate for each year.
First-year commission = 6,000 * (X / 100)
Second-year commission = 6,000 * (Y / 100)
Third-year commission = 6,000 * (Z / 100).
Calculate the total commission over three years
To find the total commission Sylvia will earn over the first three years, we'll add the yearly commission amounts calculated.
Total commission = First-year commission + Second-year commission + Third-year commission.
To calculate the commission Sylvia will earn over the first three years, we need to use the commission rates for each year:
In the first year, Sylvia will earn a 10% commission on the $6,000 plan, which is $600.
In the second year, Sylvia will earn an 8% commission on the $6,000 plan, which is $480.
In the third year, Sylvia will earn a 7% commission on the $6,000 plan, which is $420.
Therefore, the total commission Sylvia will earn over the first three years is:
$600 + $480 + $420 = $1,500
For similar question on commission.
https://brainly.com/question/29126526
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Question: Sylvia earns commission on insurance sales. She sold a plan that costs 6,000 per year. Based on the chart, how much commission will Sylvia earn from this sale over the first three years?
Commission Schedule.
Year Rate
1 st 10
2 nd 8%
3 rd 7%
If you are going to draw four cards from a deck of cards, does drawing four aces from the deck have the same probability as drawing four 3s? Explain.
Answers
Answer:
No, drawing four aces from a deck of cards does not have the same probability as drawing four 3s.
Step-by-step explanation:
To see why, consider the number of ways to draw four aces from a deck of cards. There are only four aces in the deck, so the first card drawn must be an ace, which has a probability of 4/52 (or 1/13). After the first ace is drawn, there are only three aces left in the deck, so the probability of drawing a second ace is 3/51. Similarly, the probability of drawing a third ace is 2/50, and the probability of drawing the fourth ace is 1/49.
Therefore, the probability of drawing four aces from a deck of cards is:
(4/52) x (3/51) x (2/50) x (1/49) = 0.0000185
On the other hand, there are four 3s in the deck, so the first card drawn must be a 3, which has a probability of 4/52 (or 1/13). After the first 3 is drawn, there are only three 3s left in the deck, so the probability of drawing a second 3 is 3/51. Similarly, the probability of drawing a third 3 is 2/50, and the probability of drawing the fourth 3 is 1/49.
Therefore, the probability of drawing four 3s from a deck of cards is:
(4/52) x (3/51) x (2/50) x (1/49) = 0.0000185
The probabilities are the same for drawing four aces and drawing four 3s because the same process is followed for each scenario: a specific card is drawn, the number of remaining cards decreases by one, and the probability of drawing the next card changes accordingly.
In summary, the probability of drawing four aces from a deck of cards is the same as the probability of drawing four 3s, but they are both very low probabilities because they require drawing specific cards in a specific order from a large deck of cards.
Find the surface area of the following figure by approximating pi as 3.14.
a. 314 in2
b. 315 in2
c. 316 in2
d. 317 in2
e. 318 in2
Answers
Answer:
A
Step-by-step explanation:
Given:
r (radius) = 5 in
h (height) = 5 in
Find: A (surface area) - ?
.
[tex]a(surface) = a(lateral) + a(2 \: bases)[/tex]
First, we have to find the lateral surface:
[tex]a(lateral) = 2\pi \times r \times h = 2 \times 3.14 \times 5 \times 5 = 157 \: {in}^{2} [/tex]
Then, we have to find the area of the base and multiply it by 2, since the shown figure is a cylinder, which has 2 identical bases:
[tex]a(2 \: bases) = 2 \times \pi {r}^{2} = 2 \times 3.14 \times {5}^{2} = 157 \: {in}^{2} [/tex]
Now, let's add everything together and we'll get the answer:
[tex]a(surface) = 157 + 157 = 314 \: {in}^{2} [/tex]
A chef has 1834
pounds of shrimp to make gumbo.
Part A
Each batch of gumbo requires 334
pounds of shrimp. Which solution shows how many batches of gumbo can be made?
70 batches; 1834×334
15
batch; 334÷1834
6 batches; 1834÷334
5 batches; 1834÷334
Part B
The chef could make a larger batch of gumbo that uses 614
pounds of shrimp.
How many fewer larger batches of gumbo can be made than smaller batches?
Answers
Answer:
1834 ÷ 334 ≈ 5.49
Since we can't make a fraction of a batch, we can make 5 batches of gumbo. therefore, the solution is
5 batches: 1834÷334
Part B:
For the smaller batches, each batch requires 334 pounds of shrimp. For the larger batches, each batch requires 614 pounds of shrimp.
subtract
614-334 = 280 pounds
divide
1834÷614 ≈ 2.99
Since we can't make a fraction of a batch, we can make 2 larger batches of gumbo.
So, the solution is: 2 fewer larger batches can be made than smaller batches.