a) Michael's z-score is 1.83.
b) Josh's z-score is 2.
A z-score (also known as a standard score) is a statistical measurement that represents the number of standard deviations a data point is from the mean of the population. It's a way to standardize scores from different populations or datasets, allowing for easier comparisons.
To find the z-score, we use the formula
z = (x - μ) / σ
where
x = the individual score
μ = the mean of the population
σ = the standard deviation of the population
For Michael's score
x = 83
μ = 72
σ = 6
z = (83 - 72) / 6 = 1.83
Therefore, Michael's z-score is 1.83.
For Josh's score
x = 61
μ = 55
σ = 3
z = (61 - 55) / 3 = 2
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has 37 coins, all nickels and dimes in his piggy bank. the value of the coins is $3.10. how many dimes does carter have?
Carter has 13 dimes in his piggy bank
To solve this equation, we need to use the distributive property to simplify the equation:
(x dimes x 10 cents) + (37-x nickels x 5 cents) = $3.10
We can then solve for the number of dimes by isolating the dimes on one side of the equation:
x dimes x 10 cents = $3.10 - (37-x nickels x 5 cents),By dividing both sides of the equation by 10 cents, we can solve for the number of dimes, x:
x dimes = ($3.10 - (37-x nickels x 5 cents)) / 10 cents
Plugging in the value of 37 coins and solving the equation, we get:
x dimes = (3.10 - (37 -x nickels x 5 cents)) / 10 cents
x dimes = (3.10 - 185 + 5x) / 10 centsx dimes = (3.10 - 180) / 10 centsx dimes = 1.30 / 10 centsx dimes = 13 dimes
Therefore, Carter has 13 dimes in his piggy bank.
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Find the tangent of a larger acute angle in a right triangle with side 10. 24 and 26 tangent of the larger acute angel
we have found that in the given right triangle with sides 10, 24, and 26, the tangent of the larger acute angle (angle B) is 2.4.
In a right triangle, the tangent of an acute angle is defined as the ratio of the length of the opposite side to the length of the adjacent side. Let us label the sides of the right triangle as follows:
The hypotenuse (the longest side) is 26
One of the acute angles (let's call it angle A) has opposite side length of 10
The other acute angle (let's call it angle B) has opposite side length of 24
To find the tangent of the larger acute angle, which is angle B, we use the formula:
tan(B) = opposite / adjacent
In this case, the opposite side of angle B is 24, and the adjacent side is 10. So we have:
tan(B) = 24 / 10 = 2.4
Therefore, the tangent of the larger acute angle (angle B) is 2.4.
This means that if we draw a line that is tangent to the circle with radius 10 centered at the vertex of angle B, the length of that line will be 24. This is a geometric interpretation of the tangent function, where the tangent of an angle is the length of a line tangent to the unit circle at that angle.
In conclusion, we have found that in the given right triangle with sides 10, 24, and 26, the tangent of the larger acute angle (angle B) is 2.4.
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as a television executive, you have been given 24 shows to choose from to run during your prime time slots each week. if you have to choose 16 shows to run on your network, how many ways can you choose which shows to pick up?
As per the combination concept, there are 735,471 ways to choose 16 shows from a set of 24.
To find the number of ways to choose 16 shows from a set of 24, we can use the formula for combinations, which is:
ⁿCₓ = n! / x!(n-x)!
Where n is the total number of objects in the set (in this case, 24), and x is the number of objects we want to choose (in this case, 16). The exclamation mark (!) denotes the factorial function, which means multiplying the number by all positive integers less than itself.
Plugging in the numbers, we get:
²⁴C₁₆ = 24! / 16!(24-16)! = 735471
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Define The Fundamental Counting Principle: Unit 2: Probability Lesson 2: Counting Our Way to Probabilities Describe what it means to count with replacement and without replacement: You need a new password for an email account. The requirements are that the password needs to be 8 characters long considering of 5 lowercase letters followed by 3 numbers. If you are allowed to use characters more than once (with replacement), how many different possibilities are there for a password? (Use an image to help you understand). Let's use the same example as above, only this time you may only use each letter or number one time. That is without replacement or repetition.
Similarly, there are 10 choices for the first number, 9 choices for the second number, and 8 choices for the third number. Therefore, the total number of possibilities is[tex]26 × 25 × 24 × 23 × 22 × 10 × 9 × 8 = 14,776,320[/tex] possibilities.
Fundamental Counting Principle and how to count with and without replacement.The Fundamental Counting Principle (FCP) states that if there are m ways to perform an event and n ways to perform a second event, then there are m × n ways to perform both events. For example, suppose there are 2 shirts, 3 pants, and 4 pairs of shoes in your closet. Using the FCP, you can calculate the number of outfit combinations: 2 × 3 × 4 = 24.If you are allowed to use characters more than once (with replacement), the number of different possibilities for a password can be calculated by multiplying the number of choices for each character type. There are 26 lowercase letters, so there are 26 choices for the first letter, 26 choices for the second letter, and so on. Similarly, there are 10 digits, so there are 10 choices for each number.
Therefore, the total number of possibilities is [tex]26 × 26 × 26 × 26 × 26 × 10 × 10 × 10 = 26^5 × 10^3 = 11,881,376,000[/tex] possibilities.If you may only use each letter or number one time, then you cannot repeat any choices. Therefore, the number of possibilities is reduced. There are 26 choices for the first letter, 25 choices for the second letter (since one has already been used), and so on.
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the yearly rainfall of a town, recorded since records began, is normally distributed with a mean of 95 centimeters and a standard deviation of 28 centimeters. in what percentage of years will the rainfall be between 50 and 70 centimeters in that town?
In approximately 11.41% of years, the rainfall will be between 50 and 70 centimeters in that town.
To solve this problem, we need to find the percentage of years where the rainfall is between 50 and 70 centimeters. We can do this by standardizing the rainfall values and using a standard normal distribution table.
First, we need to standardize the rainfall values of 50 and 70 centimeters using the formula
z = (x - μ) / σ
where
z is the standardized value
x is the rainfall value
μ is the mean
σ is the standard deviation
For x = 50
z = (50 - 95) / 28
z = -1.607
For x = 70
z = (70 - 95) / 28
z = -0.893
Next, we use a standard normal distribution table or calculator to find the area under the curve between these two standardized values. This represents the percentage of years where the rainfall is between 50 and 70 centimeters.
Using a standard normal distribution table, we can find that the area under the curve between z = -1.607 and z = -0.893 is 0.1141. This means that approximately 11.41% of years will have rainfall between 50 and 70 centimeters in this town.
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Are these shapes similar?
Yes or no?
g a group of people were asked if they had run a red light in the last year. responded yes, and responded no. find the probability that if a person is chosen at random, they have run a red light in the last year.
The probability that a person chosen at random has run a red light in the last year can be calculated by taking the number of people who said “yes” to running a red light and dividing it by the total number of people in the group.
For example, if 10 people said “yes” and 20 said “no”, the probability of a person chosen at random running a red light in the last year is 10/30, or 1/3.
The probability of an event happening is calculated using the formula:
Probability = Number of Favorable Outcomes / Total Number of Outcomes
In this case, the favorable outcome is running a red light in the last year, and the total number of outcomes is the total number of people asked.
To calculate the probability, we take the number of people who said “yes” to running a red light in the last year and divide it by the total number of people in the group. In our example, 10/30 = 1/3, so the probability that a person chosen at random has run a red light in the last year is 1/3.
In conclusion, the probability of a person chosen at random having run a red light in the last year is calculated by taking the number of people who responded “yes” and dividing it by the total number of people in the group.
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The amount A, in milligrams, of a 10-milligram dose of a drug remaining in the body after t hours
is given by the formula A = 10(08)t Find, to the nearest tenth of an hour, how long it takes for half
of the drug dose to be left in the body.
It takes 3.1 hour for half of the drug dose to be left in the body.
MilligramIn the metric system the unit measurement of mass is known as mg .
mg is equal to one thousandth of a gram ie.1/1000. The unit is often used in medical field for weighing out small quantities of ingredients.
prons
it is precise and it can be used to measure small quantities of items.
It is easy to convert mg to other units of measure.
cons:
It is a very small unit of measurement, it is difficult to measure the values accurately.
It is also a very commonly used unit of measurement, it get easily confuse with other units
10*1/2=10(0.8)^t
0.8^t=1/2
t=log0.8*1/2
t=3.1
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jason flips a coin three times. what is the probability that the coin will land on the same side in all three tosses?
The probability that the coin will land on the same side in all three tosses is 1/8.
There are two possible outcomes for each coin flip: heads or tails. Therefore, there are 2 × 2 × 2 = 8 possible outcomes for flipping a coin three times in a row.To find the probability that the coin will land on the same side in all three tosses, we need to count the number of outcomes that satisfy this condition.
There are only two such outcomes: either all three tosses are heads or all three tosses are tails. Therefore, the probability of this happening is 2/8 or 1/4.But we are asked for the probability that the coin will land on the same side in all three tosses, not just one specific side.
Therefore, we need to divide our previous result by 2 (the number of sides of the coin) to get the final answer: 1/4 ÷ 2 = 1/8. The probability that the coin will land on the same side in all three tosses is 1/8.
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I HAVE TO GET THIS RIGHT!!!
what is 2 + 2
Step-by-step explanation:
The sum of 2 and 2 can be derived using basic arithmetic operations.
Starting with 2, we can add 1 to get 3:
2 + 1 = 3
Then, we can add another 1 to get 4:
3 + 1 = 4
Therefore, the derivation of 2 + 2 is:
2 + 2 = (2 + 1) + 1 = 3 + 1 = 4
Hence, 2 + 2 is equal to 4.
Answer:
4
Step-by-step explanation:
Two angles are complementary. The measure of one angle is 53°. What is the measure of the other angle
Since the two angles are complementary, their sum is 90 degrees. Let x be the measure of the other angle in degrees. Then:
x + 53 = 90
Subtracting 53 from both sides, we get:
x = 37
Therefore, the measure of the other angle is 37 degrees.
The accompanying table describes results from groups of 10 births from 10 different sets of parents. The random variable x represents the number of girls among 10 children. Use the range rule of thumb to determine whether 1 girl in 10 births is a significantly low number of girls.
Since the range of observed values is 1, which is less than two standard deviations away from 10, the observed value is not significantly different from the expected value and thus the number of girls in 10 births is not significantly low.
What is standard deviation?Standard deviation is a measure of how spread out numbers are in a data set. It is calculated by taking the square root of the variance. Variance is the average of the squared differences from the mean. Standard deviation provides an indication of how much variation there is in the data set, and is often used in statistical analysis.
The range rule of thumb is a statistical method used to determine whether a given phenomenon is significantly different from an expected value. It states that if the range of observed values is greater than two standard deviations of the expected value, then the observed values are significantly different from the expected value.
In this particular case, the expected value is 10 girls in 10 births, and the observed value is 1 girl in 10 births. Since the range of observed values is 1, which is less than two standard deviations away from 10, the observed value is not significantly different from the expected value and thus the number of girls in 10 births is not significantly low.
The range rule of thumb is one way to determine whether observed values are significantly different from expected values, but there are other methods available as well.
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A line that includes the points (t,5) and (10, – 4) has a slope of – 9. What is the value of t? t
Answer:
The value of t is 9.
Step-by-step explanation:
The slope of a line passing through two points (x1, y1) and (x2, y2) is given by:
slope = (y2 - y1) / (x2 - x1)
In this case, we are given two points: (t, 5) and (10, -4), and the slope is given as -9. So we can set up the equation:
-9 = (-4 - 5) / (10 - t)
Simplifying, we get:
-9 = -9 / (10 - t)
Multiplying both sides by (10 - t), we get:
-9(10 - t) = -9
Expanding the left side, we get:
-90 + 9t = -9
Adding 90 to both sides, we get:
9t = 81
Dividing both sides by 9, we get:
t = 9
Therefore, the value of t is 9.
a) r = 29 cm, b) Angle AOC = 1.39 rad,
c) Shaded Region= 68 cm sq, d) Perimeter = 87.7 cm
a) r = 130 cm, b) Angle AOC = 12.9 rad,
c) Shaded Region= 675 cm sq, d) Perimeter = 867 cm
a) r = 30 cm, b) Angle AOC = 1.29 rad,
c) Shaded Region= 67.5 cm sq, d) Perimeter = 86.7 cm
ABC is the segment of a circle, centre O, radius
r. This segment is enclosed in a rectangle APQC.
Given that AC = 36 cm and AP = 6 cm,
Find
a) r
b) the angle AOC is radian
c) the area of the shaded region
a) r = 30 cm
b) The angle AOC is 0.523598775 radian
c) The area of the shaded region is 541.9 cm²
d) The perimeter of the shaded region is 106.8 cm.
What is area?The area of a circle is a measure of the size of the surface of the circle. It is calculated by multiplying the radius of the circle (the length from the center of the circle to its edge) by itself, and then multiplying the result by the constant pi (3.14). The formula for calculating the area of a circle is A = πr2, where “A” represents the area, “π” is pi, and “r” is the radius of the circle.
The radius of the circle, r, can be determined by the Pythagorean theorem. Since AC = 36 cm and AP = 6 cm, the hypotenuse of the right triangle formed by AC and AP is the radius of the circle, r. By applying the Pythagorean theorem, we get:
r² = 362 + 62
r² = 1296
r = √1296
r = 36 cm
b) The angle AOC is 0.523598775 radians
The angle AOC can be determined using the formula for arc length. The arc length of ABC is 36 cm and the radius of the circle is 30 cm. Therefore, the angle AOC is:
AOC = 36/30
AOC = 1.2 radians
c) The area of the shaded region is 541.9 cm²
The area of the shaded region can be determined using the formula for the area of a sector. The angle AOC is 1.2 radians and the radius of the circle is 30 cm. Therefore, the area of the shaded region is:
Area = (1.2)(30)(30)/2
Area = 541.9 cm²
d) The perimeter of the shaded region is 106.8 cm
The perimeter of the shaded region can be determined using the formula for the circumference of a circle. The radius of the circle is 30 cm. Therefore, the perimeter of the shaded region is:
Perimeter = 2π(30)
Perimeter = 106.8 cm
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The lengt of a rectangle is 8 meters more that the width. If the area of the rectangle is 65 square meters, find the width
The width of the rectangle is 5 meters.
To find the width of the rectangle, let's use the formula for the area of a rectangle, which is:
Area = length x width
We know that the area of the rectangle is 65 square meters. We also know that the length of the rectangle is 8 meters more than the width. Let's call the width "w". Then, the length can be expressed as:
length = w + 8
Substituting this expression for length into the formula for the area, we get:
65 = (w + 8) x w
Simplifying and solving for w, we get:
w² + 8w - 65 = 0
Using the quadratic formula, we get:
w = (-8 ± √(8² + 4(1)(65))) / (2(1))
w = (-8 ± √(324)) / 2
w = (-8 ± 18) / 2
We take the positive value for w since the width cannot be negative:
w = (-8 + 18) / 2
w = 5
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I’m a bit stuck can someone help me out
Answer: 7x - 7y + 21
Step-by-step explanation:
7( x - y + 3) = 7x - 7y + 21
each page number of a 488-page book is printed one time in the book. the first page is page 1 and the last page is page 488. when printing all of the page numbers, how many more 4's are printed than 8's?
the number of more 4's printed than 8's is 188 - 59 = 129.
We can approach this problem by counting the number of times the digit 4 appears and the number of times the digit 8 appears in the page numbers from 1 to 488.
First, let's count the number of times the digit 4 appears. We can break down the counting into three cases:
The digit 4 appears in the units place (page numbers 4, 14, 24, ..., 484): there are 49 such page numbers (from 4 to 484, incrementing by 10).
The digit 4 appears in the tens place (page numbers 40 to 49, 140 to 149, ..., 440 to 449): there are 50 such page numbers.
The digit 4 appears in the hundreds place (page numbers 400 to 488): there are 89 such page numbers.
Thus, the total number of times the digit 4 appears is 49 + 50 + 89 = 188.
Next, let's count the number of times the digit 8 appears. We can break down the counting into two cases:
The digit 8 appears in the tens place (page numbers 80 to 89, 180 to 189, ..., 480 to 489): there are 50 such page numbers.
The digit 8 appears in the hundreds place (page numbers 800 to 880): there are 9 such page numbers.
Thus, the total number of times the digit 8 appears is 50 + 9 = 59.
Therefore, the number of more 4's printed than 8's is 188 - 59 = 129.
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PLEASE HELP THIS IS DUE TODAY!!
Answer:
Step-by-step explanation:
To find the distance across a small lake, a surveyor has taken the measurements shown. Find the distance across the lake using this information. (Assume points A and B are exactly along the shoreline, and that a = 2.62 miles and b = 3.51 miles. Round your answer to two decimal places.) mi
we will use the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.
In this case, the distance across the lake is the hypotenuse, and the given measurements a and b are the other two sides.
Solution:
1. Write the Pythagorean theorem:
c² = a² + b²,
where c is the distance across the lake.
2. Substitute the given measurements:
c² = (2.62)² + (3.51)²
3. Calculate the squares:
c² = 6.8644 + 12.3201
4. Add the squared values:
c² = 19.1845
5. Find the square root of the sum:
c = √19.1845
6. Calculate the distance:
c ≈ 4.38 miles
The distance across the lake is approximately 4.38 miles
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Determine Ben and Arthur's net earning by subtracting their total investment from
their earning. Use information from Assessment: Compound Interest
Ben earned $2,288,996 and Arthur earned $1.532.166
Arthur earned $2,288,996 and Ben earned $1.532,166
Ben earned $2,274,996 and Arthur earned $1.454,166
Arthur earned $2.274.996 and Ben earned $1,454,166
Ben's net earnings after 5 years are $171,563.23, and Arthur's net earnings after 5 years are $163,534.49.
How to solveTo calculate their net earnings, we first need to calculate their total earnings from their investments, and then subtract their initial investments.
For Ben:
Investment: $500,000Annual interest rate: 6%Compounding period: Monthly (12 times per year)Investment term: 5 yearsUsing the compound interest formula: A = P(1 + r/n)^(nt)
A = future value of the investment
P = initial principal (investment)
r = annual interest rate (as a decimal)
n = number of times interest is compounded per year
t = number of years
A = 500,000(1 + 0.06/12)^(12 * 5)
A ≈ $671,563.23
Net earnings for Ben: $671,563.23 - $500,000 = $171,563.23
For Arthur:
Investment: $600,000Annual interest rate: 5%Compounding period: Quarterly (4 times per year)Investment term: 5 yearsA = 600,000(1 + 0.05/4)^(4 * 5)
A ≈ $763,534.49
Net earnings for Arthur: $763,534.49 - $600,000 = $163,534.49
Ben's net earnings after 5 years are $171,563.23, and Arthur's net earnings after 5 years are $163,534.49.
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Ben invested $500,000 at an annual interest rate of 6%, compounded monthly, for 5 years. Arthur invested $600,000 at an annual interest rate of 5%, compounded quarterly, for 5 years. What are their net earnings after 5 years?
Please help
Write an equation of the line in point-slope form that passes through the given points in the table. Then write the equation in slope-intercept form.
An equation of the line in point-slope form is
(Simplify your answer. Type an equation. Type your answer in point-slope form. Use integers or fractions for any numbers in the equation)
The equation of the line in slope-intercept form is y = 6x + 55.
Describe Equation?Equations can involve variables, which are placeholders for unknown values that we wish to find. For example, the equation x + 3 = 7 asserts that the value of x plus 3 is equal to 7. We can solve for x by subtracting 3 from both sides of the equation, obtaining x = 4.
Equations can be linear or nonlinear, and they can involve one or more variables. They can be represented in various forms, such as standard form, slope-intercept form, or quadratic form.
To find the equation of the line in point-slope form, we need to first find the slope of the line. We can use any two points from the table to find the slope using the formula:
slope = (change in y)/(change in x)
Let's use the first and last points in the table:
slope = (295 - 175)/(40 - 20) = 120/20 = 6
Now we can use the point-slope form of the equation of a line:
y - y1 = m(x - x1)
where m is the slope and (x1, y1) is any point on the line. Let's use the first point (20, 175):
y - 175 = 6(x - 20)
To write this equation in slope-intercept form, we need to isolate y:
y - 175 = 6x - 120
y = 6x + 55
So the equation of the line in slope-intercept form is y = 6x + 55.
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E
ON YOUR OWN
Surface Area 2
3.04 On Your Own: Surface Area 2
Now It's Time to Practice on Your Own
m²
Two cubes are placed together to form a solid so that one of side of the first cube completely matches up with one side of the second cube. Each cube has a side length of 5 m.
What is the total surface area of the solid?
Enter your answer in the box.
250 is the total surface area of the solid.
How do you determine surface area?
The whole surface of a three-dimensional form is referred to as its surface area. The surface area of a cuboid with six rectangular faces may be calculated by adding the areas of each face.
Instead, you may write out the cuboid's length, width, and height and apply the formula surface area (SA)=2lw+2lh+2hw.
Each side of a cube with side length = 5 has an area of 25; the overall area is 6 x 25 = 150
A cube with sides of length 5 has an area of 25 on each side, making its overall area 6 x 25 or 150.
Both have a combined area of 150 + 150 = 300
300 - 25 - 25 = 250 is the result from each of the two cubes.
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Help me find the slope of the line and it’s ok if you don’t know all of them
Slope of each graph are [tex]\frac{6}{5}[/tex],[tex]\frac{-1}{3}[/tex] and 1 respectively.
What is a Slope?Slope of a line in mathematics is defined as the ratio of the change in the y coordinate w.r.t the change in the x coordinate.
Both the change in the y-coordinate and the net change in the x-coordinate are denoted by y₂-y₁ and x₂-x₁, respectively.
Thus, the formula for the change in y-coordinate with regard to the change in x-coordinate is
m=y₂-y₁/ x₂-x₁
In the figure 1Taking two points as per observation
Point1: (x₁ y₁)=(0,-3)
Point2:(x₂, y₂)=(5/2,0)
Slope of line=y₂-y₁/ x₂-x₁
=[tex]\frac{0+3}{5/2-0}[/tex]
=[tex]\frac{6}{5}[/tex]
In the figure2Taking two points as per observation
Point1: (x₁ y₁)=(0,3)
Point2:(x₂, y₂)=(2,2)
Slope of line=y2-y1/x2-x1
=[tex]\frac{2-3}{2-0}[/tex]
=-⅓
In the figure 3Taking two points as per observation
Point1: (x₁ y₁)=(-2,0)
Point2:(x₂, y₂)=(0,2)
Slope of line=y2-y1/x2-x1
=[tex]\frac{2-0}{0+2}[/tex]
=1
Hence, Slope of each graph are 6/5,-⅓ and 1 respectively.
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There are 80 people in a choir.
Half the people in the choir are women.
The number of men in the choir is one quarter of the number of women.
The rest of the people in the choir are children.
the number of children in the choir: the number of men in the choir = n: 1
Work out the value of n.
You must show how you get your answer.
Answer:
3
Step-by-step explanation:
Number of people in the choir = 80
Number of women = half of 80 = 40
Number of men in the choir is ¼ of the women = 40/4 = 10
Number of men plus women = 10 +40 = 50
Number of children = 80 - 50 = 30
Ratio of children to men = n:1 = 30:10
Divide both sides by 10
30:10 = 3:1
n = 3
from an unlimited selection of five types of soda, one of which is dr. pepper, you are putting 25 cans on a table. determine the number of ways you can select 25 cans of soda if you must include at least seven dr. peppers..
There are 5²⁵ possible ways to select 25 cans of soda from 5 types, while there are [5¹⁸] (25 choose 7) possible ways to select 25 cans with at least 7 Dr. Peppers, and only [3²²] (25 choose 3) possible ways to select 25 cans with only 3 Dr. Peppers available.
(a) Since there are five types of soda and we are selecting 25 cans, we can choose any type of soda for each can. Therefore, the number of ways to select 25 cans of soda is 5²⁵.
(b) If we must include at least seven Dr. Peppers, then we can choose the remaining 18 cans from any of the five types of soda (including Dr. Pepper). We can choose 7 Dr. Peppers in (25 choose 7) ways. Therefore, the number of ways to select 25 cans of soda with at least seven Dr. Peppers is (25 choose 7) [5¹⁸].
(c) If there are only three Dr. Peppers available, then we must choose all three Dr. Peppers and select the remaining 22 cans from the four types of soda (excluding Dr. Pepper). We can choose the remaining 22 cans in 4²² ways. Therefore, the number of ways to select 25 cans of soda with only three Dr. Peppers available is 3 [4²²].
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Complete question:
From an unlimited selection of five types of soda, one of which is Dr. Pepper, you are putting 25 cans on a table.
(a) Determine the number of ways you can select 25 cans of soda.
(b) Determine the number of ways you can select 25 cans of soda if you must include at least seven Dr. Peppers.
(c) Determine the number of ways you can select 25 cans of soda if it turns out there are only three Dr. Peppers available.
PLX SIMPLIFY -2.6+3.9b
Answer: 3.9b−2.6
Step-by-step explanation: Hope this helps
Answer:
1.3b
Step-by-step explanation:
The equation is -2.6+3.9b. A negative number acts like subtraction, so we would subtract 2.6 from 3.9 to get 1.3. The b is still there, and we don't know what it is, so we simplify the equation to 1.3b.
Sorry, this explanation isn't the best. Hope it helped! :)
Aron needs 5/7 of a yard of fabric to cover a chair ad 2/3 of a yard of the fabric to cover a footstool. How much more fabric is required for the chair than the footstool?
Answer:
Step-by-step explanation:
To find out how much more fabric is required for the chair than the footstool, we need to subtract the amount of fabric required for the footstool from the amount of fabric required for the chair.
The amount of fabric required for the chair is 5/7 of a yard.
The amount of fabric required for the footstool is 2/3 of a yard.
So to find the difference, we need to subtract:
5/7 - 2/3
To do this, we need to find a common denominator, which is 21 in this case. We get:
(15/21) - (14/21) = 1/21
Therefore, Aron needs 1/21 more yard of fabric to cover the chair than the footstool.
What is the LMC of 3,
Answer: 3
Step-by-step explanation: I just know
Sarah has 43 bananas, she gives Steve 10. How many bananas does she have left?
Answer:
33
Step-by-step explanation:
43-10=33 sarah has 33 bananas ledt
a group of friends wants to go to the amusement park. they have no more than $480 to spend on parking and admission. parking is $8.75, and tickets cost $15.50 per person, including tax. which inequality can be used to determine p, the maximum number of people who can go to the amusement park?
Therefore, the inequality that can be used to determine p, the maximum number of people who can go to the amusement park, is p ≤ 30.
What do you mean by inequalities?In mathematics, inequalities are statements that compare two values or expressions and indicate whether they are equal, greater than, or less than each other. An inequality is typically represented by a symbol, such as "<" (less than), ">" (greater than), "<=" (less than or equal to), ">=" (greater than or equal to), or "≠" (not equal to).
Given by the question.
Let's assume that the maximum number of people that can go to the amusement park is p. The cost of parking is $8.75, and the cost of admission for each person is $15.50.
Then, the total cost for p people can be calculated as:
Total cost = (Cost of parking) + (Cost of admission per person x number of people)
Total cost = $8.75 + $15.50p
The group has no more than $480 to spend, so we can set up an inequality:
Total cost ≤ $480
$8.75 + $15.50p ≤ $480
Subtracting $8.75 from both sides:
$15.50p ≤ $471.25
Dividing both sides by $15.50:
p ≤ 30.35
Since the number of people cannot be a decimal, we round down to the nearest whole number: p ≤ 30.
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