Pls answer this CORRECTLY PLSSSSSS!!

Answers

Answer 1

Answer:

there's no question

Step-by-step explanation:


Related Questions

List the values in ascending order: -94%, -8/9, -.925, and -9/10

Answers

Answer:

-94%, -.925, -9/10, -8/9

Step-by-step explanation:

-.94, -.8, -.925, -.9

-.94, −0.925, −0.9, -0.8

Jonah earned $150. 36 in


interest on an account that


earns 1. 4% simple interes. If


Jonah opened the account 12


years ago, what was the


principal amount?

Answers

The principal amount calculated as from the given data was fount out to be $895.

The formula to calculate interest rate is ,

Interest = Principal x Rate x Time which can also be written as,

I=PRT

therefore to find principal,

P= I/(RT)

P= 150.36/( 1.4% x 12)

P= 150.36/ (21/125)

P= 895

Principal amount is the amount which one invests on something for a given period of time at a fixed rate . The amount which the person receives is known as the profit.

In finance interest is the payment of an amount other than the repayment of the principal sum by a borrower or deposit-taking financial institution to a lender or depositor at a specific rate by a borrower or deposit-taking financial institution.

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Chandler's house is due west of Springtown and due south of Livingston. Springtown is 6 miles from Chandler's house and 10 miles from Livingston. How far is Livingston from Chandler's house, measured in a straight line

Answers

Livingston is approximately 8.2 miles away from Chandler's house, measured in a straight line.

To find the distance between Livingston and Chandler's house, we can use the Pythagorean theorem because we have a right triangle formed by Springtown, Chandler's house, and Livingston.

Let's assign variables to the distances:

Let x be the distance from Livingston to Chandler's house (in miles).

Let y be the distance from Springtown to Chandler's house (in miles).

Given information:

Springtown is 6 miles away from Chandler's house (y = 6).

Livingston is 10 miles away from Springtown.

Using the Pythagorean theorem:

According to the theorem, the square of the hypotenuse (the distance between Livingston and Chandler's house) is equal to the sum of the squares of the other two sides.

Applying the theorem, we have:

x² = y² + (10)²

x² = 6² + 10²

x² = 36 + 100

x² = 136

Taking the square root of both sides:

x = √136

x ≈ 11.66

Therefore, Livingston is approximately 8.2 miles away from Chandler's house, measured in a straight line.

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Sleep researchers know that some people are early birds (E), preferring to go to bed by 10 P.M. and arise by 7 A.M., while others are night owls (N), preferring to go to bed after 11 P.M. and arise after 8 A.M. A study was done to compare dream recall for early birds and night owls. One hundred people of each of the two types were selected at random and asked to record their dreams for one week. Some of the results are presented below. Group Mean Median Standard Deviation No dreams 5 or more dreams Early birds 7.26 6.0 6.94 0.24 0.55
Night owls 9.55 9.5 5.88 0.11 0.69 A) The researchers believe that night owls may have better dream recall than do early birds. Use the data provided to carry out a test of the hypotheses about the mean number of dreams recalled per week. Do the data support the researchers' belief? (5 pts) B) Compute a 92% confidence interval about the mean number of dreams recalled per week. (You do NOT need to re check the conditions) (5pts)

Answers

The answer is: A) The data support the researchers' belief that night owls have better dream recall than early birds. B) we can be 92% confident that the true difference in mean number of dreams recalled per week between night owls and early birds is between 1.87 and 2.63.

A) These are the alternative and null hypotheses:

H0: μE = μN (the mean number of dreams recalled each week is the same for early birds and night owls) (the mean number of dreams recalled per week is the same for early birds and night owls)

Ha: μE < μN (the mean number of dreams recalled each week is smaller for early birds than for night owls) (the mean number of dreams recalled per week is lower for early birds than for night owls)

Using the following formula, we can run a two-sample t-test with unequal variances:

t = [(sN2 / nN) + (sE2 / nE)] / sqrt[(xN - xE)]

where nN and nE are the sample sizes for night owls and early birds, respectively, and xN and sN and xE and sE are the sample means and standard deviations for night owls and early birds, respectively.

When we enter the values, we obtain:

t = (9.55 - 7.26) / sqrt[(5.88^2 / 100) + (6.94^2 / 100)] = 5.01

The data are consistent with the researchers' hypothesis that night owls are more capable of remembering their dreams than early birds.

B) We can use the following formula to determine the confidence interval:

CI is equal to (xN - xE) t/2 * sqrt[(sN / nN) + (sE / nE)].

where t/2 is the t-value for the required level of confidence and degrees of freedom, and xN, xE, sN, sE, nN, and nE are the same as previously (198 in this case).

With a t-value of 1.75 and a 92% confidence level (from a t-distribution with 198 degrees of freedom), we get:

CI is equal to (9.55 - 7.26) 1.75 * sqrt[(5.88 - + 6.94 / 100)] = (1.87, 2.63) (1.87, 2.63)

The genuine difference between night owls and early birds in terms of the average number of dreams recalled per week is therefore between 1.87 and 2.63, with a 92% confidence interval.

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when solving the following system of equations using the elimination method, what would be the appropriate first step?A) multiply the bottom equation by 2B) multiply the top equation by 4 C) subtract the system D) add the system

when solving the following system of equations using the elimination method, what would be the appropriate

Answers

Answer:

A) multiply the bottom equation by 2

Explanation:

Our goal in using the elimination method is to eliminate one variable so that we can solve for another independently.

Therefore, the first step would be to multiply the bottom equation by 2 so that the term with x becomes -4x so that it can cancel when the bottom equation Is added to the equation at the top.

Multiplying the bottom equation by -2 gives

\(\begin{gathered} 2(-2x+5y=25) \\ -4x+10y=50 \end{gathered}\)

Now, our system becomes

\(\begin{gathered} 4x+7y=28 \\ -4x+10y=50 \end{gathered}\)

adding the two equations gives

\(\begin{gathered} 4x+7y=28 \\ -4x+10y=50 \\ -------------- \\ 17y=78 \end{gathered}\)

we can now solve for y and then use its value to find the value of x.

Therefore, the correct first step in solving the equations is to multiply the bottom equation by 2.

For each equation, write a story problem that could be represented by the equation. Then find the value of x and explain what it represents in your story. 3/4 + x = 2

Answers

The story: John requires 2 liters of oil for a trip. they have  3/4 liters of oil at home, how many liters of oil will he get from his father to make the trip?

x in the equation is the liters of oil required from the father. It was solved to be 1 1/4

How to solve for x

In the problem, the equation made available is 3/4 + x = 2

The solution of the equation is as follows

3/4 + x = 2

collecting like terms

x = 2 - 3/4

x = 5/4

x = 1 1/4

The value of x = 1 1/4

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The radius of a circle is 2 meters. What is the area of a sector bounded by a 135 degree arc? Give the exact answer in simplest form

Answers

Answer:

Area of circle bounded by a 135 ° arc is 4.71 m ²

Step-by-step explanation:

Given that :-

Radius of circle, r = 2 m

Angle of the circle , θ = 135 °

To Find :-

Area of circle bounded by a 135 ° arc.

Solution :-

Using Formula

Area of circle = θ/ 360 × π × r ²

substitute the values,

Area of circle = 135 /360 × 3.14 × ( 2 m) ²

solve it

Area = 27 / 72 × 3.14 × 4 m ²

Area = 27 / 18 × 3.14

Area = 1.5 × 3.14

Area = 4.71 m ²

Therefore, Area of circle bounded by a 135 ° arc is 4.71 m ²

Answer:

it's 3/2pi

Step-by-step explanation:

.

a company had 80 employees whose salaries are summarized in the frequency distribution below. find the standard deviation.

Answers

The standard deviation of the salaries for the company's 80 employees is calculated to be X, where X represents the numerical value of the standard deviation.

The standard deviation measures the dispersion or variability of a set of data points. In order to calculate the standard deviation, we need to first find the mean (average) of the salaries. Then, for each salary, we calculate the difference between the salary and the mean, square that difference, and sum up all the squared differences. Next, we divide the sum by the total number of salaries (80 in this case) minus 1 to obtain the variance. Finally, the standard deviation is obtained by taking the square root of the variance. This accounts for the fact that the squared differences are in squared units, while the standard deviation should be in the original units (currency in this case).

By following this process, we can find the standard deviation of the salaries for the 80 employees in the company. This value represents the measure of variability or spread in the salary distribution, providing insights into how salaries deviate from the mean.

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the p-value is the probability of achieving a result as extreme or more extreme than the result actually achieved. therefore in this case the p-value is the probability of a team scoring seven or more goals in a match. what is the numerical value of the p-value in this case according to our hypothesis?

Answers

(a) The probability of a team scoring seven goals in a match, assuming a Poisson distribution with mean 1.336, is approximately 0.072.

(b) The p-value, representing the probability of a team scoring seven or more goals, is approximately 0.138.

(c) According to the criterion of a p-value less than 0.05, we would not reject the proposal that the number of 2014 World Cup goals follows a Poisson distribution.

(d) The observed distribution suggests that a Poisson distribution is applicable for modeling the number of goals in the 2014 World Cup.

(a) To find the probability that a team scores seven goals in a match,

Use the Poisson distribution formula,

P(X = k) = \((e^{(-\lambda) \times \lambda^k)\) / k!,

where,

P(X = k) is the probability of scoring exactly k goals,

e is the base of the natural logarithm (approximately 2.71828),

λ is the mean number of goals per game per team.

Here, λ = 1.336 and k = 7.

P(X = 7) = (\(e^{(-1.336)\) × 1.336⁷) / 7!.

Calculating this value,

P(X = 7) ≈ 0.072.

The probability that a team scores seven goals in a match, according to the hypothesis, is approximately 0.072.

(b) The p-value in this case is the probability of a team scoring seven or more goals in a match.

Sum the probabilities of scoring seven, eight, nine, and so on, up to infinity (which is practically a very large number).

P(X ≥ 7) = P(X = 7) + P(X = 8) + P(X = 9) + ...

Since calculating an infinite sum is not feasible,

Approximate it by calculating the complementary probability of scoring less than seven goals and subtracting it from 1.

P(X ≥ 7) = 1 - P(X < 7).

To calculate P(X < 7),  sum the probabilities of scoring zero, one, two, three, four, five, and six goals.

P(X < 7) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) + P(X = 6).

Calculating this value,

P(X < 7) ≈ 0.862.

The p-value, which is the probability of a team scoring seven or more goals in a match, is approximately 0.138 (1 - 0.862).

(c) According to the criterion of rejecting a hypothesis when the p-value is less than 0.05, we compare the p-value obtained (0.138) with 0.05.

Since 0.138 > 0.05,

Not reject the proposal that the number of 2014 World Cup goals is a Poisson-distributed random variable with a mean of 1.336.

(d) The observed probability distribution for the number of goals in the 2014 World Cup, quite similar to the Poisson distribution with a mean of 1.336.

This suggests that a Poisson distribution is applicable for modeling the number of goals scored per team per game.

However, further statistical analysis and hypothesis testing should be conducted

to confirm the validity of this assumption and explore other possible distributions.

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The above question is incomplete, the complete question is:

The 2014 FIFA World Cup It has been suggested that the number of goals in World Cup games is given by a Poisson distribution. A total of 171 goals were scored at the 2014 World Cup in a total of 64 games, implying a mean number of goals per game per team of 1.336 Fig. 4.8 shows the observed probability distribution for the number of goals scored per team per game in the 2014 World Cup in blue, determined on the basis of goals per game per team actually scored, in comparison to a Poisson distribution in red corresponding to the actual mean number of goals per team per game (λ = 1.336) in the 2014 World Cup. Evidently, the observed distribution is quite similar to the Poisson distribution, which leads to the hypothesis that the number of goals that a team scored per game is a Poisson-distributed random variable with, in this case, λ 1.336 (a) But what about Germany's 7 goals in their semi-final game against Brazil? According to the hypothesis that the number of goals that a team scores per game is a Poisson-distributed random variable with mean λ = 1.336, what is the probability that a team scores seven goals in a match? (b) The p-value is the probability of achieving a result as extreme or more extreme than the result actually achieved. Therefore in this case the p-value is the probability of a team scoring seven or more goals in a match. What is the numerical value of the p-value in this case according to our hypothesis? (c) One criterion for rejecting a hypothesis is that the p-value is less that 0.05. According to this criterion, should we reject the proposal that the number of 2014 World Cup goals is a Poisson-distributed random variable with mean 1.336? (d) Would you expect a Poisson distribution to be applicable?

PLEASE HELP ME REALLY IMPORTANT
the answer is not
c = 5
w = -8
x = -14

PLEASE HELP ME REALLY IMPORTANTthe answer is notc = 5w = -8x = -14

Answers

Answer:

c= 6103515625w/2187x

w= x in (c)/ in (3) + In (6561/ 6103515625)/ in (3)

no clue but I tryed

What is the measure of angle 1 if angle one is 2x-3° and angle 2 is 8x?

What is the measure of angle 1 if angle one is 2x-3 and angle 2 is 8x?

Answers

Answer:

6/5

Step-by-step explanation:

2x-3+8x=180

10x-3=180

x=21/10

now

2×21/10-3

6/5

2 lines intersect. A line with points R, S, U intersects a line with points V, S, T at point S.
In the diagram, which angles form a linear pair? Select three options.

∠RST and ∠RSV
∠RST and ∠TSU
∠RST and ∠VSU
∠TSU and ∠USV
∠TSU and ∠RSV∠

Answers

Step-by-step explanation:

here is your answer

enjoy

thanks to another users to give this answer

2 lines intersect. A line with points R, S, U intersects a line with points V, S, T at point S.In the
2 lines intersect. A line with points R, S, U intersects a line with points V, S, T at point S.In the

Select all the pairs of like terms in the expression.
2/5y + 1/5x – 0.2y – 6 + (–2)
2/5y and 1/5x
2/5y and –0.2y
1/5x and –0.2y
–0.2y and 2
–6 and –2
PLEASE I NEED HELP.... THIS QUESTION IS FOR 25 POINTS SO PLEASE HELP

Answers

Answer:

2/5y and -0.2y, -6 and -2

Step-by-step explanation:

Here, in 2/5y and -0.2y both are having there like terms that is y in there variables.

Also, in -6 and -2 both are having nothing in there variables.

2/5y and -0.2y, -6 and -2

In the diagram, the measure of angle 8 is 124º, and the measure of angle 2 is 84°​

In the diagram, the measure of angle 8 is 124, and the measure of angle 2 is 84

Answers

Answer:

whats the question?

Step-by-step explanation:

Answer:

Angle 7 = 56 °

Step-by-step explanation:

Angles 8 and 7 = 180 degrees

To get the degree of angle 7 subtract 124 from 180

180 - 124 = 56 degrees

Angle 7 = 56 degrees

a project being analyzed by pert has 60 activities, 13 of which are on the critical path. if the estimated time along the critical path is 214 days with a project variance of 100, what is the probability that the project will take 224 days or more to complete? group of answer choices near zero

Answers

The probability that the project will take 224 days or longer is 0.1587.

This is a question on the normal probability distribution.

To expiate this, standardize the 95 days.

The standardized score is calculated by subtracting the value from the mean and dividing it by the standard deviation.

z = (x - xbar) ÷ σ

x = 224 days

xbar = mean = 214 days

σ = standard deviation = √(variance) = √100 = 10

z = (224 - 214) ÷ 10 = 1

To calculate the probability that the project will be finished in 95 days or less, P(x ≥ 224) = P(z ≥ (1))

For these probabilities, use data from the normal probability table.

P(x ≥ 224) = P(z ≥ (1)) = 1 - 0.8413 = 0.1587

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BRAINLEST: Without shipping costs, a textbook costs $11.17 from a particular online
dealer. If Jordan paid $14.43 for the textbook, including shipping, how
much did the shipping cost?

Answers

Answer:

3.26$

Step-by-step explanation:

Simply subtract one from another to find the difference in the cost.

What number makes this equation true?


4×3,270=(4×3,200)+(4×□)

Answers

X=520 Isolate the variable by dividing each side by factors that don't contain the variable.

There are 5 boxes and each box weighs x pounds. Write the expression for the total weight of the
boxes.

Answers

Answer:

5x pounds

Step-by-step explanation:

Here's the solution if you need, hope it's help

There are 5 boxes and each box weighs x pounds. Write the expression for the total weight of theboxes.

Is this no solution or is there a solution?
This is solving systems of linear equations by graphing.
Step one is to graph each equation.
Step two is to find the point of intersection which is the solution.

Is this no solution or is there a solution? This is solving systems of linear equations by graphing.Step

Answers

Answer:

No Solution

Step-by-step explanation:

I used a graphing tool to graph the equations. When graphed, the lines are parallel and they do not intercept at a point.

There is no solution; your answer should be correct.

Is this no solution or is there a solution? This is solving systems of linear equations by graphing.Step

Answer:

yes it is no solution

Step-by-step explanation:

this is because since they both have the same slope, that means the two lines are parallel

and so therefore they will never intersect

so the answer is no solution

For what value of a the system of linear equations Ax 3y a 3 12x ay A has no solutions?

Answers

The system of linear equations Ax + 3y = a, 3x + ay = A has no solutions for any value of a.

To determine if the system of linear equations Ax + 3y = a, 3x + ay = A has no solutions for any value of a, we can use the elimination method.

We want to eliminate one of the variables, so let's start by multiplying the first equation by 3 and the second equation by -1.

This gives us:

3Ax + 9y = 3a, -3x - ay = -A.

Now we add the equations together to get:

2Ax + 8y = 3a - A.

Now we can see that the equation is not solvable as there is no value of a that will make the equation true. Therefore, the system of linear equations Ax + 3y = a, 3x + ay = A has no solutions for any value of a.

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a rectangle has an area of 651m². One of the sides is 7m in length. Work out the perimeter of the rectangle​

Answers

Answer:

200

Step-by-step explanation:

So first off, let's find the other side.

651 divided by 7 = 93

93 would be the other side measurement. There are two sides that measure 93 degrees, two sides that measure 7 degrees.

93 + 93 + 7 +7 = perimeter

Once we add up like terms, 200

The lifting force, F, exerted on an airplane wing varies jointly as the area, A, of the wing's surface and the square of the plane's velocity, v. The lift of a wing with an area of 130 square feet is 5,200 pounds when the plane is going at 150 miles per hour. Find the lifting force if the speed is 220 miles per hour. Round your answer to the nearest integer if necessary.

Answers

The lifting force if the speed is 220 miles per hour is F' = 708.53 N.

The force of light, or simply light, is the sum of all forces on an object that cause the object to move perpendicular to the direction of flow.

The most common type of lift is the wing lift. But there are many other common uses, such as propellers on airplanes and ships, rotors on helicopters, fan blades, sails on sailboats, and wind turbines.

We have,

The lifting force, F, exerted on an airplane wing varies jointly as the area, A, of the wing's surface and the square of the plane's velocity, v. It, means that,

\(F=kAv^{2}\)

Where

k is constant

If, A = 190 Ft², v = 220 mph, F = 950 pounds

Now, find k first from the above data. So,

    \(k=\frac{F}{Av^{2} }\)

⇒ \(k=\frac{950}{190* (220)^2}\)

⇒ k = 0.0001033

It is required to find the lifting force on the wing if the plane slows down to 190 miles per hour.

Let F' is a new force. So,

    F' = 0.0001033 × 190 × (190)²

⇒ F' = 708.53 pounds.

So, the lifting force is 708.53 pounds if the plane slows down to 190 miles per hour.

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. You deposit $200 each month into an account earning 3% interest compounded monthly for 30 years. How much total interest will you earn in 30 years?

Answers

The total interest you will earn in 30 years is approximately $241.61.

To calculate the total interest earned in 30 years, we need to use the formula for compound interest:
A = P(1 + r/n)^(nt) - P
Where:
A = the future value of the investment
P = the principal amount (initial deposit)
r = the annual interest rate (in decimal form)
n = the number of times the interest is compounded per year
t = the number of years
In this case, the principal amount is $200, the annual interest rate is 3% (or 0.03 as a decimal), the interest is compounded monthly (so n = 12), and the time period is 30 years (so t = 30).
Plugging in these values into the formula:
A = 200(1 + 0.03/12)^(12*30) - 200
Now we can simplify and calculate:
A = 200(1.0025)^(360) - 200
A = 200(2.208040033) - 200
A ≈ 441.6080066 - 200
A ≈ 241.6080066

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Dan invests £18790 into his bank account. He receives 4.9% per year simple interest. How much will Dan have after 3 years? Give your answer to the nearest penny where appropriate.

Answers

Answer:

£21552.

Step-by-step explanation:

Given information:

Principal amount = £18790

Rate of simple interest =4.9% = 0.049 per year

Time = 3 years

Formula for simple interest:

\(I=P\times r\times t\)

where, P is principal, r is rate of interest and t is time in years.

\(I=18790\times 0.049\times 3\)

\(I=2762.13\)

Total amount after 3 year is

\(A=P+I\)

\(A=18790+2762.13\)

\(A=21552.13\)

\(A\approx 21552\)

Therefore, Dan have £21552 after 3 years.

Of the automobiles produced at a particular plant, 40% had a certain defect. A. What is the probability that more than 50 cars will need to be inspected before one with the defect is found? b. What is the probability that the twentieth car inspected will have a defect? c. Suppose a company purchases five of these cars. What is the probability that exactly one of the five cars has a defect?.

Answers

Probability that 50 cars will have no defect is and the 51st is 12  . Probability that 20th car will have defect is 4.56. Probability that exactly one car has a defect is 0.2592.

What is probability?

It is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true.

Given Data

(a) Probability that a car has a defect = 40% = 0.4.

Probability that a car with no defect = 1 - 0.4 = 0.6

Probability that 50 cars does not have defect = (0.6)50

Probability that 50 cars will have no defect and the 51st will = (0.6)50(0.4)

Probability that 50 cars will have no defect and the 51st will= 12

(b) This question can be understood in two ways. If the question is simply asking for the probability that the 20th car has a defect it is 40% or 0.4. If the question means 19 cars do not have a defect and the 20th has one, the answer is below -

Probability that 19 cars do not have defect = (0.6)19

Probability that 20th car will have defect = (0.6)19( 0.4)

Probability that 20th car will have defect   = 4.56                                                            

(c) The one car with defect can be chosen in 5 ways.

Probability that the car has a defect = 0.4

Probability that the remaining 4 cars do not have defect = (0.6)4

Probability that exactly one car has a defect = 5( 0.4) (0.6)4 = 0.2592.

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help please, i will mark you brainliest!!

help please, i will mark you brainliest!!

Answers

Answer:

b

Step-by-step explanation:

Calculate the area of the rectangle.

Calculate the area of the rectangle.

Answers

Answer:

12

Step-by-step explanation:

You count all of the blue squares

12. Just count all of the blue squares.

A movie theater wanted to determine the average rate that their diet soda is purchased. An employee gathered data on the amount of diet soda remaining in the machine, y, for several hours after the machine is filled, x. The following scatter plot and line of fit was created to display the data.

scatter plot titled soda machine with the x axis labeled time in hours and the y axis labeled amount of diet soda in fluid ounces, with points at 1 comma 32, 1 comma 40, 2 comma 35, 3 comma 20, 3 comma 32, 4 comma 20, 5 comma 15, 5 comma 25, 6 comma 10, 6 comma 22, 7 comma 12, and 8 comma 0, with a line passing through the coordinates 2 comma 32.1 and 7 comma 9.45

Find the y-intercept of the line of fit and explain its meaning in the context of the data.

The y-intercept is 41.16. The machine starts with 41.16 ounces of diet soda.
The y-intercept is 41.16. The machine loses about 41.16 fluid ounces of diet soda each hour.
The y-intercept is −4.5. The machine starts with 4.5 ounces of diet soda.
The y-intercept is −4.5. The machine loses about 4.5 fluid ounces of diet soda each hour.

Answers

Answer:

Step-by-step explanation:

The y-intercept of the line of fit is 41.16, which means that when the machine is first filled, it starts with approximately 41.16 fluid ounces of diet soda.

In the context of the data, the y-intercept represents the initial amount of diet soda in the machine before any soda is purchased. This information can be useful for determining how much soda is being purchased by customers over time, as it provides a baseline for comparison.

Therefore, the correct answer is: The y-intercept is 41.16. The machine starts with 41.16 ounces of diet soda.

Answer:

y-intercept is 41.16. The machine starts with 41.16 ounces of diet soda.

Step-by-step explanation:

5x :8= 7:2. Please help me I’m stuck

Answers

Answer:

Step-by-step explanation:

5x/8 =7/2

10x=56

x=28/5

x=5.6

Which figure represents the final image after composition ry-axis ◦ T3, -1 is applied to rectangle LMNP? 1 2 3 4

Answers

Answer: image 4

Step-by-step explanation: did it on edge and was correct

The final image after composition ry-axis ◦ T3, -1 is Figure 4.

Thus, figure 4 is correct figure.

Given transformation rule, ry-axis ◦ T3, -1.

First, reflect the coordinates of LMNP across y axis by the rule

(x, y) -> (-x, y)

Then, translation 3 units to the right and 1 unit down

So, if the original point was (x, y), after the translation it becomes (x + 3, y -1 ).

Now, the coordinates of LMNP are:

L (-5, 1), M (-5, 4), N(-3, 4) and P(-3, 1).

Then, after reflection from y axis

L' (5, 1), M' (5, 4), N'(3, 4) and P'(3, 1).

and, after Transformation T (3, -1) the coordinates are:

L' (5+3, 1-1)  - L"(8, 0),

M' (5 +3, 4-1) = M"(8, 3),

N'(3+3, 4-1) = N"(6, 3),

P'(3+3, 1-1) = P"(6, 0)

Therefore, the required transformed figure is (4).

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Which figure represents the final image after composition ry-axis T3, -1 is applied to rectangle LMNP?
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