Ray paid $46.25 for 8.75 gallons of gas. What is the unit rate of gas in dollars, per gallon ?

The probability that exactly 8 customers will arrive in a one-hour period is 0.1563, or approximately 15.63%. The probability of exactly 8 customers arriving in a one-hour period can be calculated using the Poisson distribution formula.

The formula is P(X=x) = (e^-λ * λ^x) / x!, where λ is the mean number of customers arriving in a one-hour period and x is the number of customers we want to calculate the probability for.
So in this case, λ = 8.60 and x = 8. Plugging these values into the formula, we get:
P(X=8) = (e^-8.60 * 8.60^8) / 8!
P(X=8) = 0.1563
Therefore, the probability that exactly 8 customers will arrive in a one-hour period is 0.1563, or approximately 15.63%.

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Answer:

180 - 36? I dont exactly remember how to do this

Step-by-step explanation:

Sorry if its not right

Answer:

Step-by-step explanation:

Mark as brainliest

Domain: {1, -2, -3, -6}

Range: {5, 4, 0, 2}

im not 100% sure but Im pretty sure it’s that

Answer:

m = x+y-z

Step-by-step explanation:

Given the expression.

(a^x a ^y) ÷ a^z = a^m

We are to express m in terms of x, y and z.

Using the multiplicative law of indices, the expression becomes:

a^{x+y} ÷ a^z = a^m

Applying the division rule in indices

a^{x+y} ÷ a^z = a^{x+y-z}

The equation becomes

a^{x+y-z} = a^m

Cancel out the base and equate the powers as shown:

x+y-z = m

Hence the expression of m in terms of x, y and z is m = x+y-z

Answer:

(sin(A) + cos(A)).sec(A) = 17/12

Step-by-step explanation:

tan(A) = 5/12

sin(A) = 5/13

cos(A) = 12/13

sec(A) = 1/(cos(A)) = 13/12

(sin(A) + cos(A)).sec(A) = (5/13 + 12/13).13/12

= 17/13.13/12

= 17/12

Yes, the equation of velocity is rearranged to find the area under the curve.

The equation of velocity in general is v = d/t

where v = velocity, d = distance, and t = time.

We rearrange this equation to create an equation for distance and the equation of distance determines the area under the curve.

Our motive is to isolate the variable whose equation we want to create. So, in this case, isolate 'd' and move all other variables to the other side.

1. Multiply both sides by t

v × t = d/t × t

2. Cancel the t where appropriate

v × t = d

3. We get the equation for d

d = v × t

Now, this equation is used to find the area under the curve.

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The question asks you to analyze a statistical model used to estimate earnings based on various factors. You will need to interpret the significance of variables, coefficient estimates, and the overall fit of the model.

1. Without seeing the variables included in the earning equation, it is impossible to determine which variables are significant. However, the reported standard errors can be used to test the significance of each coefficient. If the absolute value of a coefficient divided by its standard error is greater than 1.96, then the variable is considered significant at the 5% level.

2. The coefficient estimate on females cannot be interpreted without seeing the entire equation.

3. R2 represents the proportion of variation in the dependent variable (in this case, earnings) that can be explained by the independent variables included in the equation. An R2 of 0.17 indicates that the included variables can explain 17% of the variation in earnings.

4. To test the joint significance of experience and females, we need to conduct an F-test.

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Hello! My name is Chris and I’ll be helping you with this problem.

Date: 9/28/20 Time:  9:19 am CST

Answer:

-12

Explanation:

(-3)4 = -12

I hope this helped answer your question! Have a great rest of your day!

Furthermore,

Chris  

Answer:

-12

Step-by-step explanation:

( -3 ) 4

= -12

hope this helps

Answer:

Step-by-step explanation:

B is near 2

Answer:

(2, 2)

Step-by-step explanation:

We are given a graph with 4 points and are asked to write down the coordinate of B.

When we look at coordinates, our numbers are based off of two lines, x and y.

X being left to right while Y being up to down.

Our coordinate should look like this (x, y)

So when we look at point B, we have to look at what point is B on for x and y?

Which if we can see is 2 for x and 2 for y.

Substitute (x, y) :

(2, 2)

Answer:

The number is 8

Step-by-step explanation:

Let x be the number

3x+4 = 28

Subtract4 from each side

3x+4-4 = 28-4

3x= 24

Divide by 3

3x/3 =24/3

x = 8

Answer:

-8p -2

Step-by-step explanation:

(-7p + 10) - (p + 12) =

-7p + 10 - p - 12 =

-8p -2

Answer:

Kindly check explanation

Step-by-step explanation:

Given that :

Rate of flight = 12 feets per second ; from hive to flower bed

Minutes stayed at flower bed = 13 minutes

Rate of flight = 8 feets per second ; from flower bed to hive

It is always away from the hive for a total of 15 minutes

What equation can you use to find the distance of the flower bed to the hive?

Distance = speed * time

Time = distance / speed

Let distance from flowerbed to hive = d

Time from hive to flower bed = d/12

Time from flower bed to hive = d / 8

Hence, total time taken;

d/12 + 13 + d/8 = 15

Converting minutes to seconds

d/12+ 13*60 + d/8 = 15*60

d/12 + 780 + d/8 = 900

Take the L. C. M

(2d + 18720 + 3d) / 24 = 900

5d + 18720 = 21600

We can also solve for d

5d = 21600 - 18720

5d = 2880

d = 576 feets

Answer:

1/4

Step-by-step explanation:

divide numerator and denominator by 3

Answer:

\(x\geq -4\)

Step-by-step explanation:

\(3x-9\geq-21\)

add 9 to both sides

\(3x-9+9\geq -21+9\)

\(3x\geq -12\)

divide both sides by 3  

\(\frac{3}{3}x \geq \frac{-12}{3}\)

\(x\geq -4\)

Plot a solid dot on -4 on the number line because the inequality sign is great than or equal to and x the great than or equal to -4.

The arrow is then pointed to the left >>>>

Check the picture below.

so the circle has a radius of 3 and a center at (-2 , 1)

\(\textit{equation of a circle}\\\\ (x- h)^2+(y- k)^2= r^2 \hspace{5em}\stackrel{center}{(\underset{-2}{h}~~,~~\underset{1}{k})}\qquad \stackrel{radius}{\underset{3}{r}} \\\\[-0.35em] ~\dotfill\\\\ ( ~~ x - (-2) ~~ )^2 ~~ + ~~ ( ~~ y-1 ~~ )^2~~ = ~~3^2\implies (x+2)^2 + (y-1)^2 = 9\)

Answer:

Answer:

From Plants

Hope it will help you

Let:

R = (-3,2)

S = (0, - 5)

T = (4,5)

R' = (4,1)

So:

R(x,y)----->T------->R'(x,y)

Let:

x1 = -3

x2 = 4

y1 = 2

y2 = 1

So:

(-3,4)------->(x+7,y-1)--------->(-3 + 7, 2 - 1) = (4,1)

Therefore:

The PDF of Y is f(y) = (1/5)e^(-y/5) for y ≥ 0.

The PDF of an exponential random variable with parameter λ is given by f(y) = λe^(-λy) for y ≥ 0. Since the variance of Y is 25, the standard deviation is σ = √Var[Y] = √25 = 5. The parameter λ can be found as λ = 1/σ = 1/5. Therefore, the PDF of Y is f(y) = (1/5)e^(-y/5) for y ≥ 0.

E[Y^2] = 2/(1/5)^2 = 50.

The second moment of an exponential random variable with parameter λ is E[Y^2] = 2/λ^2. Therefore, in this case, E[Y^2] = 2/(1/5)^2 = 50.

P[Y > 5] = 1 - 0.6321 = 0.3679.

P[Y > 5] can be calculated using the cumulative distribution function (CDF) of Y as follows:

P[Y > 5] = 1 - P[Y ≤ 5]

The CDF of Y is given by F(y) = 1 - e^(-λy), for y ≥ 0. Substituting λ = 1/5, we have:

F(5) = 1 - e^(-5/5) = 1 - e^(-1) ≈ 0.6321

Therefore, P[Y > 5] = 1 - 0.6321 = 0.3679.

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Answer:

add 9 to both sides of the equation

Step-by-step explanation:

Answer:

second one/ light green

The expression is simplified to - 13x + 7y - 7 = 0

Algebraic expressions are expressions made up  of variables, constants, factors, and coefficients.

They also consist of mathematical operations such as addition, subtraction, division, multiplication, etc

Given the expression;

-5x + 7y = 8x + 7

collect like terms

-5x - 8x + 7y = 7

add like terms

-13x + 7y =7

equate the equation to zero

- 13x + 7y - 7 = 0

Thus, the expression is simplified to - 13x + 7y - 7 = 0

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Answer:

1/4.

Step-by-step explanation:

There are 12 possible outcomes.

There are are 3 outcomes represented by 4B.

So required probability = 3/12 = 1/4.

Answer:

I think the answer is of the value of x is

49

Answer:

24 ounce bottle.

Step-by-step explanation:

8 Ounce bottle=2.7 for each ounce

16 ounce bottle=2.9 for each ounce

24 ounce bottle=2.6 for each ounce

If 10 friends are going to occupy 10 seats in a shuttle on the way to the airport, then they can arrange themselves in the shuttle in 10! or 3,628,800 ways.

Step-by-step explanation: There are 10 friends and 10 seats to be occupied in a shuttle.

Therefore, the number of ways to arrange the 10 friends in 10 seats is given by 10! (10 factorial), which is calculated as follows: 10! = 10 x 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1= 3,628,800

Therefore, 10 friends can arrange themselves in the shuttle in 3,628,800 ways.

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Answer:

60 units squared

Step-by-step explanation:

use for mula A= bh/2

15*8=120

120/2= 60

A=60

Answer:

60

Step-by-step explanation:

area of triangle = (base x height) : 2

base = 15

Height = 8

= ( 15 x 8 ) : 2

= 120 : 2

= 60

To make a decision for the hypothesis test, we need to analyze the ANOVA summary table for the test of significance of the overall regression model.

From the table, we can see that the regression sum of squares (SS) is given as 20, and the residual sum of squares (SS) is given as 400. We also know that the total sum of squares (SS) is the sum of the regression SS and the residual SS.

Since the degrees of freedom (df) for the regression model is equal to the number of predictor variables (k) minus 1 (k - 1), and the df for the residual is the total sample size (n) minus the number of predictor variables (k), we can calculate the df for the regression and the residual.

Given that the sample size (n) is 45 and the number of predictor variables (k) is 4, we can calculate:

df for regression = k - 1 = 4 - 1 = 3

df for residual = n - k = 45 - 4 = 41

Next, we need to calculate the mean square (MS) for the regression and the residual by dividing the SS by their respective degrees of freedom.

MS for regression = SS for regression / df for regression = 20 / 3

MS for residual = SS for residual / df for residual = 400 / 41

Finally, we can calculate the F-statistic by dividing the MS for regression by the MS for residual.

F = (MS for regression) / (MS for residual)

Now, we can compare the calculated F-statistic to the critical F-value at the given significance level (α = 0.05). If the calculated F-statistic is greater than the critical F-value, we reject the null hypothesis. Otherwise, we fail to reject the null hypothesis.

Without the information of the critical F-value or the calculated F-statistic, we cannot make a definitive decision or final conclusion for the hypothesis test. Please provide the necessary values, and I will be able to help you with the decision and conclusion.

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