Answer:
Step-by-step explanation:
by identity a²-b² =(a-b)(a+b)
9x² = (3x)²
4(y+2x)² = 2²(y+2x)² = (2(y+2x))²=(2y+4x)²
so : a = 3x and b = 2y+4x
put a and b in this identity a²-b² =(a-b)(a+b) ....continu
please help will give brainliest
The correct explicit rule is f(n) = 50 + 30n
What is Explicit Rule?An explicit rule is a mathematical formula that directly gives the n-th term of a sequence or the value of a function for a given input, without the need to find other terms first. It can be expressed using variables, constants, and operations such as addition, subtraction, multiplication, and division.
To determine who is correct, we need to first understand the meaning of the variables in the explicit rules.
Let n be the number of days the car is rented for.
Let f(n) be the cost of renting the car for n days.
The deposit is a one-time charge and is not dependent on the number of days rented. Therefore, the constant term in the explicit rule should be 50.
Now, for each day rented, the cost is $30. This means that the cost for n days should be 30n.
So the correct explicit rule is:
f(n) = 50 + 30n
Therefore, Kevin is correct with the explicit rule f(n) = 50 + 30(n-1). This is because we subtract 1 from n since the deposit is charged only once at the beginning and is not included in the daily rate.
Suzanne's explicit rule, f(n) = 80 + 30(n-1), adds an extra $30 to the cost of renting the car, which is not correct.
To learn more about Explicit Rule from the given link
https://brainly.com/question/12620593
#SPJ1
What is the angle ABC to the nearest angle
By using a protractor or visual estimation, we can estimate the measure of angle ABC to the nearest degree.
To answer your question, let's first start with defining what an angle is. An angle is formed by two rays or line segments that share a common endpoint, called the vertex. The measure of an angle is usually given in degrees and is determined by how much the two rays are turned away from each other.
Now, let's look at the specific angle you asked about, angle ABC. Without a diagram or any additional information about the position of point B and C, it is impossible to determine the measure of angle ABC. However, we can make some general assumptions based on the fact that angle measures range from 0 to 360 degrees.
Assuming that angle ABC is a standard angle and not a reflex angle (i.e. it measures less than 180 degrees), we can estimate the measure of angle ABC to the nearest degree by using a protractor or by visual estimation. A protractor is a tool used to measure angles in degrees, and can be found at most office supply stores or online.
If we don't have access to a protractor, we can still estimate the measure of angle ABC by comparing it to other angles we know the measure of. For example, if angle ABC looks to be about halfway between a right angle (90 degrees) and a straight angle (180 degrees), we can estimate that angle ABC measures around 135 degrees.
In summary, without additional information about the specific position of points B and C, we cannot determine the exact measure of angle ABC. However, by using a protractor or visual estimation, we can estimate the measure of angle ABC to the nearest degree.
To Learn More About protractor
https://brainly.com/question/30355459
SPJ11
(3х2^y- 2 -7*2^y-2)÷( 5*2^y-2)
To simplify this expression, we can follow the order of operations:
1. Simplify the expression inside the parentheses first:
(3x2^y - 2 - 7x2^(y-2))
2. Combine like terms:
3x2^y - 7x2^(y-2) - 2
3. Rewrite the denominator with a common base of 2:
5x2^(y-2)
4. Divide the numerator by the denominator:
(3x2^y - 7x2^(y-2) - 2) ÷ (5x2^(y-2))
5. Simplify by dividing each term in the numerator by 5x2^(y-2):
(3x2^y)/(5x2^(y-2)) - (7x2^(y-2))/(5x2^(y-2)) - (2/(5x2^(y-2)))
6. Simplify the exponents:
(3/5)x^(y-2) - (7/5) - (2/5)x^(-2)
So the final simplified expression is:
(3/5)x^(y-2) - (7/5) - (2/5)x^(-2)
Carlos has at least as many action figures in his collection as Josh. Carlos has 5 complete sets plus 4 individual figures. Josh has 3 complete sets plus 14 individual figures. Which inequality represents how many action figures can be in a complete set? Responses
Answer:
x ≥ 5
Step-by-step explanation:
Let's represent the number of action figures in a complete set by the variable "x".
Carlos has 5 complete sets plus 4 individual figures, which is a total of:
5x + 4
Josh has 3 complete sets plus 14 individual figures, which is a total of:
3x + 14
The problem states that Carlos has at least as many action figures as Josh, so we can set up the inequality:
5x + 4 ≥ 3x + 14
Simplifying this inequality, we can subtract 3x from both sides:
2x + 4 ≥ 14
Then, we can subtract 4 from both sides:
2x ≥ 10
Finally, we divide both sides by 2:
x ≥ 5
Therefore, the inequality that represents how many action figures can be in a complete set is:
x ≥ 5
Karen and her family ate a meal at a cafe. She gave the waiter three dollars for a tip that amount was 1/5 of the total cost of the mill what was the cost of the meal
Therefore, the cost of the meal was $15.
Describe the dollar sign.
The dollar sign, also referred to as the peso sign, is a symbol that looks like a capital "S" crossed with one or two vertical strokes ($ or Cifro symbol ), and it's used to denote the unit of many different currencies around the world, including the majority of currencies denominated in "pesos" and "dollars." The Portuguese word for the specifically double-barred is cifro.
The sign is also present in a number of compound currency symbols, including those for the Nicaraguan córdoba (C$) and the Brazilian real (R$).
Let’s call the cost of the meal x.
Karen gave the waiter a tip of three dollars which is 1/5 of the total cost of the meal.
This can be written as:
3 = (1/5) * x
Multiplying both sides by 5 gives:
15 = x
To know more about pesos visit:
brainly.com/question/20709271
#SPJ1
The histograms display the frequency of temperatures in two different locations in a 30-day period.
A graph with the x-axis labeled Temperature in Degrees, with intervals 60 to 69, 70 to 79, 80 to 89, 90 to 99, 100 to 109, 110 to 119. The y-axis is labeled Frequency and begins at 0 with tick marks every one unit up to 14. A shaded bar stops at 10 above 60 to 69, at 9 above 70 to 79, at 5 above 80 to 89, at 4 above 90 to 99, and at 2 above 100 to 109. There is no shaded bar above 110 to 119. The graph is titled Temps in Sunny Town.
A graph with the x-axis labeled Temperature in Degrees, with intervals 60 to 69, 70 to 79, 80 to 89, 90 to 99, 100 to 109, 110 to 119. The y-axis is labeled Frequency and begins at 0 with tick marks every one unit up to 16. A shaded bar stops at 2 above 60 to 69, at 4 above 70 to 79, at 12 above 80 to 89, at 6 above 90 to 99, at 4 above 100 to 109, and at 2 above 110 to 119. The graph is titled Temps in Desert Landing.
When comparing the data, which measure of variability should be used for both sets of data to determine the location with the most consistent temperature?
IQR, because Sunny Town is skewed
IQR, because Desert Landing is symmetric
Range, because Sunny Town is skewed
Range, because Desert Landing is symmetric
Answer:
Range, because it measures the difference between the highest and lowest values in a dataset, providing a clear measure of variability for both sets of data. It is not affected by skewness or symmetry, which makes it a useful measure of variability for comparing the temperature consistency between Desert Landing and Flower Town.
Step-by-step explanation:
Hope this helps!=D
Mark me brainliest! =D
What is the system of equation for this equation ?
Y=-2,4x-3y=18
Answer:
x = -30
y = 18
Step-by-step explanation:
-2,4x - 3y is equal to both 18 and y
Since there are two equal signs, we have a double equation (we can write each equation seperately and put them in a system):
{y = -2,4x - 3y,
{-2,4x - 3y = 18;
.
We move 3y to the left, so we change the sign to the opposite:
{4y = -2,4x, / : 4 (put y and 3y together)
{-2,4x - 3y = 18;
.
y = -0,6x,
-2,4x - 3y = 18;
Replace y in the 2nd equation with its value from the 1st equation:
-2,4x - 3 × (-0,6x) = 18
-2,4x + 1,8x = 18
-0,6x = 18 / : (-0,6)
x = -30
y = -0,6 × (-30) = 18
A cube is 8 inches on each side. What is the height of a cylinder having the same volume, if it’s radius is 4 inches? Round to the nearest tenth.
A botanist wants to determine if a fertilizer is effective in the growth of plants. He randomly selects 100 of the same type of seedling and randomly assigns them to two groups: one that uses the fertilizer, and one that does not. He makes sure the plants all have the same amount of water, soil, and light for two months. At the end of two months, he measures the heights of the plants and finds that the ones receiving the fertilizer are significantly taller.
Which of the following is a valid conclusion?
Inferences can be made for all plants, and the conclusion can be drawn that the fertilizer will help all plants grow taller.
Inferences cannot be made for all plants, and the conclusion cannot be drawn that the fertilizer will help these plants grow taller.
Inferences can be made for these types of plants, and the conclusion can be drawn that the fertilizer will help these types of plants grow taller.
Inferences cannot be made for these types of plants, and the conclusion cannot be drawn that the fertilizer will help these types of plants grow taller.
Inferences can be made for these types of plants, and the conclusion can be drawn that the fertilizer will help these types of plants grow taller.
What is a randomized controlled trail?A scientific experiment known as a randomised controlled trial (RCT) includes randomly allocating participants or subjects to various groups, often a treatment group and a control group. The intervention or therapy under test is administered to the treatment group while being withheld from the control group. Researchers can isolate the impact of the intervention on the desired outcome and reduce the impacts of confounding variables by randomly allocating individuals to these groups. To evaluate the effectiveness of therapies and treatments, RCTs are often employed in the medical, psychological, and other domains.
In the given experiment, the fertiliser appeared to be helpful in boosting plant development for this specific type of seedling since the plants that got it grew noticeably taller than the ones that did not.
Hence, option 4 is correct.
Learn more about experiments here:
https://brainly.com/question/11256472
#SPJ1
The graph shows the supply and demand curves for a Cajun spice mix that Leroy manufactures in a home business. What will happen if Leroy sets the price at $3.99?
Group of answer choices
The demand will exceed the supply.
The market will be in equilibrium.
Five hundred spice mixes will be demanded.
The supply will exceed the demand.
Since Demand is higher than then supply at $3.99 price, hence, correct answer is Option (b).
Describe Graph?A graph is a visual representation of data that is used to show the relationship between two or more variables. Graphs are commonly used in mathematics, science, engineering, and other fields to help visualize and analyze data.
There are many different types of graphs, each with its own unique features and applications. Some of the most common types of graphs include:
Line graphs: Line graphs are used to show the trend or change in a variable over time. They consist of a set of data points that are connected by straight lines.
Bar graphs: Bar graphs are used to compare data across different categories or groups. They consist of rectangular bars that are proportional in height to the values they represent.
Pie charts: Pie charts are used to show the proportion or percentage of each category within a larger whole. They consist of a circle that is divided into sections, with each section representing a different category.
If Leroy set the price at $3.99, then based on the given chart, Demand will be 1,500 units whereas Supply will be 500 units. Since Demand is higher than then supply at $3.99 price, hence, correct answer is Option (b).
Therefore, Correct answer is Option (b), The demand will exceed the supply.
To know more about price visit:
https://brainly.com/question/27922213
#SPJ1
The complete question is:
Help!!! I don’t really understand this! :c
The x and y intercepts are some of the features of the graph and their values are -7 and 6 respectively.
What are the features of a graph of the function?The graph of the function f(x) = 2log₂ (x + 8) has the following features:
Domain: The domain of the function is all real numbers greater than -8, because the argument of the logarithmic function must be positive.
Vertical asymptote: The graph has a vertical asymptote at x = -8, because the logarithmic function is not defined for x = -8.
X-Intercept: The function has an x-intercept at (-7, 0), which can be found by setting f(x) = 0 and solving for x.
Y-Intercept: The function has a y-intercept at (0, 2log₂ 8), which is 6.
Learn more about features of graph here: https://brainly.com/question/30296247
#SPJ1
what is a semi circles area
Answer:
The answer to your problem is, A semicircle is half of a circle
What is Semicircle?
If a circle is cut into half along the diameter, that half-circle is called a semicircle. The two halves are of equal measure. A semicircle can also be referred to as a half-disk and it represents a circular paper plate folded into halves. There is one line of symmetry in the semicircle that is considered as the reflection symmetry. Since the semicircle is the half of a circle which is 360°, hence the arc of the semicircle always measures 180°.
Or if you have no time imagine
You have an entire pizza you tell you other friend “ Lets half the pizza “ You do that next you can tell your friend that this is a semicircle and we both have semicircles your friend might not know but know they know . .
Interesting story I know but that is our answer.
Thus the answer to your problem is, A semicircle is half of a circle
Answer:
le demi-cerclec'est une figure plate délimitée par un diamètre de la circonférence et l'un des deux arcs de cercle plats déterminés par ledit diamètre. De cette façon, un demi-cercle est bordé par un demi-circonférence, qui se compose d'un arc de cercle plat et d'un segment droit qui joint les extrémités de l'arc de cercle plat.
Step-by-step explanation:
Shaded areas
A circle with radius of 3 cm sits inside a 8 cm x 7 cm
rectangle.
What is the area of the shaded region?
Round your final answer to the nearest hundredth.
8 cm
The area of the shaded region in this shape that has a rectangle and a circle within is 27.73 square cm.
How to find the area of the shaded region ?The area of the rectangle can be found using the formula:
Area rectangle = length × width
Area rectangle = 8 cm × 7 cm = 56 square cm
The area of the circle can be found using the formula:
Area circle = π × radius^2
Given the radius is 3 cm, we have:
Area circle = π × (3 cm)^2 = 9π square cm = 28.27 square cm
Now, to find the area of the shaded region (which is the rectangle minus the circle):
Area shaded = Area rectangle - Area circle
Area shaded = 56 square cm - 28.27 square cm = 27.73 square cm
Find out more on area at https://brainly.com/question/14989383
#SPJ1
Triangle ABC with vertices at A(−3, −3), B(3, 3), C(0, 3) is dilated to create triangle A′B′C′ with vertices at A′(−6, −6), B(6, 6), C(0, 6). Determine the scale factor used.
2
one half
3
one third
Answer:
the scale factor is 2
Step-by-step explanation:
Take each x and y value and multiply it by 2 and you get the coordinates for the image.
Helping in the name of Jesus.
The scale factor is 2. Point B goes from (3,3) to (6,6). 6/3 is 2. Similar triangles have the same shape and the three angles' measurements are likewise the same.
Their sides are the only thing that differs. The scale factor, which is what is referred to here as this, is the ratio of one triangle's sides to those of another triangle. To calculate the scale factor for the smaller triangle to the bigger triangle, divide one of the sides in the bigger triangle by its corresponding side in the smaller triangle. In the example, the scale factor would be 2 if you divided 40 by 20.
To know more about scale factor refer to the link below :
brainly.com/question/29464385
#SPJ1
diego says the expression 14-0.6t helps him understand this situation. in this situation, what does this expression represent, and what does the variable t stand for?
The given expression 14 - 0.6t is representing the amount of fuel that has been remaining after "t" days of use.
14 - 0.6t is an algebraic expression. The car had 14 gallons of fuel at first and after each day of use, the car used 0.6 gallons which means that the amount of fuel that is remaining in the car at the end of the day is continuously decreasing by 0.6 per day. So, after "t" days of use, the car must have 0.6×t gallons of fuel, and the amount of fuel that remains in the car will be 14 - 0.6t.
When the warning light comes on, the remaining fuel is 1.5 gallons or less. So we can set the expression 14 - 0.6t to 1.5 and solve for t to find the number of days it takes for the warning light to come on:
14 - 0.6t = 1.5
0.6t = 12.5
t = 20.83
Therefore, it takes approximately 20.83 days of use for the warning light to come on.
Learn more about algebraic expressions on
https://brainly.com/question/28884894?referrer=searchResults
#SPJ4
Find the surface area of the
triangular prism.
7 cm
6 cm
9 cm
7 cm
5 cm
[?] sq cm
The surface area of the prism is [tex]169cm^{2}[/tex]
What do you mean by surface area?A measurement of an object's whole space is, in fact, its surface area. The total area around a three-dimensional form makes up its surface area.
The whole surface area of a three-dimensional shape is referred to as "surface area". By summing the areas from each face, it is possible to determine the surface area of a cuboid with six rectangular faces.
Alternatively, you may use the following formula to name this box's dimensions:
The surface area is made up of [tex]2lh, 2lw, 2hw[/tex]. (SA). The amount of space occupied by the surface of a three-dimensional shape is measured in terms of surface area.
Given
[tex]S_{1} = 7 cm, S_{2} = 7 cm, S_{3} = 9 cm[/tex]
[tex]base = 9 cm, h = 6 cm, l = 5 cm[/tex]
[tex]area = ( perimeter * length) + 2* base area\\[/tex]
[tex]perimeter= S_{1} +S_{2} +S_{3}[/tex]
[tex]P = 7 cm +7 cm+9 cm\\= 23 cm[/tex]
∴[tex]area= (Perimeter* l) +bh[/tex]
[tex]A = (23*5) +( 9*6)\\= 115 cm + 54cm\\= 169 cm^{2}[/tex]
Therefore the surface area of the prism is [tex]169cm^{2}[/tex]
https://brainly.com/question/2835293
#SPJ1
Nickel-63 is a radioactive substance with a half-life of about 100 years. An artifact had 9.8 milligrams of nickel-63 when it was first measured. Write an equation to represent the mass of nickel-63, in milligrams, as a function of:
An equation to represent the mass of nickel-63, in milligrams, as a function of 9.8 [tex]e^{(-.00001899 d)}[/tex] .
What's a linear equation in calculation?
A linear equation is an algebraic equation of the form y = mxb. involving only a constant and a first- order( linear) term, where m is the pitch and b is the y- intercept. sometimes, the below is called a" linear equation of two variables," where y and x are the variables.
The equation for half life is
n = no [tex]e^{ (-kt)}[/tex]
Where no is the initial amount of a substance , k is the constant of decay and t is the time
no = 9.8
1/2 of that amount is 4.9 so n = 4.9 and t = 100 years
4.9 = 9.8 [tex]e^{ (-k 100)}[/tex]
Divide each side by 9.8
1/2 = [tex]e^{-100k}[/tex]
Take the natural log of each side
ln(1/2) = ln([tex]e^{(-100k)}[/tex]
ln(1/2) = -100k
Divide each side by -100
-ln(.5)/100 = k
Our equation in years is
n = 9.8 [tex]e^{(ln.5)/100 t)}[/tex]
Approximating ln(.5)/100 =-.006931472
n = 9.8 [tex]e^{(-.006931472 t) }[/tex] when t is in years
Now changing to days
100 years = 100*365 days/year
36500 days
Substituting this in for t
4.9 = 9.8 [tex]e^{(-k 36500)}[/tex]
Take the natural log of each side
ln(1/2) = ln([tex]e^{(-36500k))}[/tex]
ln(1/2) = -36500k
Divide each side by -100
-ln(.5)/36500 = k
Our equation in years is
n = 9.8 [tex]e^{(ln.5)/36500 d)}[/tex]
Approximating ln(.5)/365=-.00001899
n = 9.8 [tex]e^{(-.00001899 d)}[/tex] when d is in days
Learn more about linear equation
brainly.com/question/11897796
#SPJ1
In the data set below, what is the
interquartile
range?
23 33 45 48 76 78 94 94
The median in this situation is the average of the two middle values, which are 48 and 76: (48 + 76) / 2 = 62
what is median ?When a dataset is sorted in order of magnitude, the median, a statistical measure of central tendency, reflects the middle value of the dataset. The values must first be arranged from lowest to highest in order to determine the median (or largest to smallest). The median is the middle value when the dataset has an odd number of values. The median is indeed the average of the two middle values when the dataset does have an even number of values.
given
We must first determine the values of the first and third quartiles in order to determine the interquartile range (IQR) of a data set.
The median of the lower half of the data set makes up the first quartile (Q1), and the median of the higher half, the third quartile (Q3).
For this data set's Q1 and Q3, you can:
Sort the information from smallest to largest:
23 33 45 48 76 78 94 94
Determine the data set's overall median.
The median in this situation is the average of the two middle values, which are 48 and 76: (48 + 76) / 2 = 62 .
To know more about median visit :-
https://brainly.com/question/28060453
#SPJ1
Find the value of K , if x-1 is a factor of x^3+3x^2-4x+k
Step-by-step explanation:
These are the steps to this Question...
find the dimensions of a rectangular prism with a fixed surface area of 282 square units and maximum volume. write the exact answer. do not round.
The exact dimensions of the rectangular prism are:
Width = [tex]((\sqrt{282} + \sqrt{1975})/3)/2[/tex]
Height = [tex](141 - (\sqrt{282} + \sqrt{1975})/3) / 2[/tex]
(I may have formatted my response incorrectly. If so, please let me know. I will update my response accordingly.)
The rectangular prism with a fixed surface area of 282 square units and maximum volume has dimensions of 9 by 9 by 14 units.
To find the dimensions of the rectangular prism with a fixed surface area of 282 square units and maximum volume, we need to use the fact that the volume of a rectangular prism is given by V = lwh and the surface area is given by SA = 2lw + 2lh + 2wh. Since we want to maximize the volume, we can use the surface area formula to solve for one of the dimensions in terms of the other two, and then substitute into the volume formula to obtain a function of two variables.
We can then take the derivative of this function and set it equal to zero to find the maximum volume. Solving this equation, we obtain l = w = 9 and h = 14, which gives the desired dimensions.
Therefore, the rectangular prism with a fixed surface area of 282 square units and maximum volume has dimensions of 9 by 9 by 14 units.
To learn more about surface area here:
brainly.com/question/29298005#
#SPJ11
Bradley cut a square hole out of a block of wood in wood shop. If the block was cube-shaped with side lengths of 8 inches, and the hole had side lengths of 5 inches, how much wood was left after the hole was cut out?
there are 312 cubic inches of wood left after cutting out a square hole with side lengths of 5 inches from a cube-shaped block with side lengths of 8 inches.
How to find the volume ?
To find the volume of the remaining wood, first find the volume of the cube-shaped block. To find the volume of a cube use V = s³ where s is the side of the cube. In this case, s = 8 inches, so V = 8³ = 512 cubic inches.
Then, find the volume of the hole using the side lengths of the hole and the same depth as the cube, which is 8 inches. The hole has side lengths of 5 inches, so its volume is V = 5² * 8 = 200 cubic inches.
To find how much wood is left after cutting out the hole, subtract the volume of the hole from the volume of the cube:
512 - 200 = 312 cubic inches
Therefore, there are 312 cubic inches of wood left after cutting out a square hole with side lengths of 5 inches from a cube-shaped block with side lengths of 8 inches.
To know more about Shape visit :-
https://brainly.com/question/25965491
#SPJ1
twice a number is fourteen
The number such that twice a number is fourteen is 7
Calculating the numberIf we let the number be "x", we can write the given information as an equation:
2x = 14
To solve for x, we need to isolate it on one side of the equation. We can do this by dividing both sides by 2:
2x/2 = 14/2
x = 7
Therefore, the number is 7.
Read more about numbers at
https://brainly.com/question/871420
#SPJ1
whats the answer. I am confused on this please help
Answer:
All of the above.
Step-by-step explanation:
It is 2 and 3 because they are next to each other and when added together equal to 180 degrees.
It is 5 and 8 for the same reason and so on for the rest.
Answer:
All of the above
Step-by-step explanation:
Supplementary means two angles that add up to 180 degrees.
now, since all of the angles are beside each other, it's automatic that they add up to 180 degrees.
I'm guessing you are learning about transversals and rules on lines.
I did this ixl as well and I understand why you're confused
based on my guessing on what you are learning in school, 4 and 5 would also be supplementary because they are consecutive interior angles
I don't know if you learned this term but that's the best I can explain it.
Chelsea and her two friends split a pizza. They each paid $5. Write a one-step equation for
Answer:
Step-by-step explanation:
$7
Answer:
7$
Step-by-step explanation:
last year an organization spent $500 on food for an event 100 people attended this year they plan for 120 people to attend the event .Food costs the same per person as it did last year .From last year to this what is the percent change in the money the organization seconds on food? Show Your Work.
Answer: wassup, so basically the price just increases by like 20% because of how many more people are coming thats the best way i can say to help u understand it. hope I helped a bit
PLEASE HELP IF YOU DO THEN I WILL GIVE CROWN
Answer: Dog show 1 was a dog show for smaller dogs while dog show 2 was a dog show for larger dogs.
Step-by-step explanation:
the time required to assemble a part of a machine follows an exponential probability distribution with a mean of 14 minutes. what is the probability that the part can be assembled in 7 minutes or less? (4 decimal format
The probability that the part can be assembled in 7 minutes or less is 0.2592.
To solve the problem, we need to use the cumulative distribution function (CDF) of the exponential distribution. The CDF gives the probability that the random variable X (in this case, the time required to assemble the part) is less than or equal to a certain value x.
The CDF of the exponential distribution is given by:
F(x) = [tex]1 - e^{(-λx)}[/tex]
where λ is the rate parameter of the exponential distribution, which is equal to 1/mean. In this case, the mean is 14 minutes, so λ = 1/14.
To find the probability that the part can be assembled in 7 minutes or less, we plug x = 7 and λ = 1/14 into the CDF formula: F(7) = [tex]1 - e^{(-(1/14)*7)} \approx 0.2592[/tex]
So, there is a chance of about 25.92% (rounded to four decimal places) that the part can be assembled in 7 minutes or less.
To know more about probability, refer here:
https://brainly.com/question/2272886#
#SPJ11
please help me with this quick. i’ll mark you brainy.
Answer:
[tex] {( - 7)}^{2} - 4(6)( - 1) = 49 + 24 = 73[/tex]
Josephine did not distribute the -1 correctly. -4(6)(-1) = 24.
Here are the correct solutions:
x = (7 + √73) / 12
x = (7/12) + (1/12)√73
what type of relation exists between the number of absences and the final grade? be sure to state the type, direction, and strength
There is a linear relationship between the number of absences and grade point average.
Number of absencesThe total number of absences depend on the number of students enrolled in a class. Therefore, a measure independent of the number of students is needed. This leads to the introduction of the concept of normalized absences.
It is defined as: Number of Absences / (Number of Students x Number of Contact Hours).
final gradeA Final Grade is the installation of specific materials - such as screened topsoil - on top of a clay base called, "Rough Grade" that promotes proper drainage and flow of excess water away from existing structures.
Learn more about number of absences here :-
https://brainly.com/question/4892687
#SPJ4
A strawberry patch is 1.7 dam long and 1.4 dam wide. If one person can pick 3 m² of strawberries in an hour, then how many hours will it take for one person to harvest the entire patch?
79 hours will it take for one person to harvest the entire strawberry patch.
What is the conversion of the unit?The same property is expressed using a unit conversion but in a distinct unit of measurement. For instance, time can be stated in minutes rather than hours, and distance can be expressed in kilometers, feet, or any other length unit instead of miles.
Finding the strawberry patch's area in square meters and dividing it by the amount that one person can harvest in an hour will give us the total number of hours needed to solve this issue.
The strawberry patch's measurements must first be changed from decameters (dam) to meters.
1 decameter (dam) = 10 meter
Strawberry patch length in meters = 1.7 dam * 10 m/dam = 17 m.
The strawberry patch width in meters = 1.4 dam x 10 m/dam = 14 m.
The strawberry patch's area is therefore:
Area of strawberry patch = length × width = 17 m × 14 m = 238 m²
We must now determine how long it will take one individual to pick 3 m² of strawberries, in hours. We can calculate this by dividing the patch's overall area by the area that a single individual can select in an hour:
= a number of hours needed to harvest the complete patch.
The total harvesting time is = 79.33 hours nearly equal to 79
Therefore, it would take one person 79 hours to gather the complete strawberry patch.
Learn more about units here:
brainly.com/question/10433377
#SPJ1