Answer:

**Answer:**

Correct option: **A. Weight**.

**Step-by-step explanation:**

In regression analysis there are two kinds of variables: Explanatory and Response variable.

The explanatory variable are used to predict the changes in the response variable. They are also known as independent or predictor variable.

The response variable are observed for any changes caused by the explanatory variable. They are also known as the dependent or experimental variable.

In this case it is provided that heavier cars have lower fuel efficiencies.

It implies that there is linear inverse relationship between the variables weight of the car and fuel efficiency.

The response variable is the fuel efficiency and the explanatory variable is the weight of the car. Since the weight of the car is used to determine the fuel efficiency.

Thus, the explanatory variable is the **weight of the car**.

Answer:
### Final answer:

### Explanation:

### Learn more about Explanatory Variable here:

The **explanatory variable** in this context is the weight of the car, as it is used to predict or explain the car's fuel efficiency.

In this context, the most naturally considered explanatory or predictor variable would be the **weight** of the car. This term is used to denote the variable that is used to predict or explain changes or variations in another variable. In this case, the weight of the car is used to predict or explain the **fuel efficiency** (measured in miles per gallon). For instance, if the weight of a car increases, we would expect the fuel efficiency to decrease (lower mpg) because heavier cars often require more energy to move, which in turn results in higher fuel consumption.

#SPJ3

In a study of 788 randomly selected medical malpractice lawsuits, it was found that 494 of them were dropped or dismissed. Use a 0.05 significance level to test the claim that most medical malpractice lawsuits are dropped or dismissed.Which of the following is the hypothesis test to be conducted?A.Upper H 0 : p less than 0.5Upper H 1 : p equals 0.5B.Upper H 0 : p greater than 0.5Upper H 1 : p equals 0.5C.Upper H 0 : p equals 0.5Upper H 1 : p not equals 0.5D.Upper H 0 : p equals 0.5Upper H 1 : p less than 0.5E.Upper H 0 : p not equals 0.5Upper H 1 : p equals 0.5F.Upper H 0 : p equals 0.5Upper H 1 : p greater than 0.5What is the test statistic?Z =(Round to two decimal places as needed.)What is the conclusion about the null hypothesis?A. Reject the null hypothesis because the P-value is greater than the significance level, alpha.B. Fail to reject the null hypothesis because the P-value is less than or equal to the significance level, alpha.C. Fail to reject the null hypothesis because the P-value is greater than the significance level, alpha.D. Reject the null hypothesis because the P-value is less than or equal to the significance level, alpha.What is the final conclusion?A.There is sufficient evidence to support the claim that most medical malpractice lawsuits are dropped or dismissed.B.There is not sufficient evidence to support the claim that most medical malpractice lawsuits are dropped or dismissed.C.There is sufficient evidence to warrant rejection of the claim that most medical malpractice lawsuits are dropped or dismissed.D.There is not sufficient evidence to warrant rejection of the claim that most medical malpractice lawsuits are dropped or dismissed.

The population of a city (in millions) at time t (in years) is P(t)=2.6 e 0.005t , where t=0 is the year 2000. When will the population double from its size at t=0 ?

HELP ME IM TIMED!Which expression best estimates -18– ,O 18-3O -18-3O-18-(-3)O 18-(-3)

The probability that Jonas will win the race is 0.6 and the probability that he will not win is 0.5.The statement does not make sense because the sum of the probabilities of Jonas winning and not winning the race must equal to 1.

Two teams A and B play a series of games until one team wins four games. We assume that the games are played independently and that the probability that A wins any game is p. What is the probability that the series lasts exactly five games?

The population of a city (in millions) at time t (in years) is P(t)=2.6 e 0.005t , where t=0 is the year 2000. When will the population double from its size at t=0 ?

HELP ME IM TIMED!Which expression best estimates -18– ,O 18-3O -18-3O-18-(-3)O 18-(-3)

The probability that Jonas will win the race is 0.6 and the probability that he will not win is 0.5.The statement does not make sense because the sum of the probabilities of Jonas winning and not winning the race must equal to 1.

Two teams A and B play a series of games until one team wins four games. We assume that the games are played independently and that the probability that A wins any game is p. What is the probability that the series lasts exactly five games?

4

1 5

-8

If A = 7

-4

and B = | 9

-5 -8

find 3A + 9B.

**Answer:**

456yup 89i28993728128828282 6r3235

664r5790

the answer is3(5+15)

6 is the answer to the question

I thinks that’s the answer

Upper half of the unit sphere (call it ): parameterize by

with and . Take the normal vector to be

Then the flux of over this surface is

Lower half of the sphere (call it ): all the details remain the same as above, but with . The flux is again .

Unit disk (call it ): parameterize the disk by

with and . Take the normal vector to be

Then the flux across is

The flux through every surface with boundary C, such as the upper half of the unit sphere, the lower half of the unit sphere, and the unit disk in the xy-plane, should be the same and it is zero.

The divergence of the vector field** F~ = (z, x, y) is zero.** Therefore, the flux through every surface with boundary C, such as the upper half of the unit sphere, the lower half of the unit sphere, and the unit disk in the xy-plane, should be the same.

This can be confirmed by considering that the electric flux through a closed surface is zero if there are no sources of electric field inside the enclosed volume. Since there are no charges inside the surfaces mentioned, the flux through each surface is **zero**.

Therefore, the flux through the upper half of the unit sphere, the lower half of the unit sphere, and the unit disk in the **xy-plane **is the same, and it is **zero**.

#SPJ3

_ pounds of sugar candies

=OWO=

**Answer: 9 pounds of chocolate and 6 pounds of sugar candies**

Let's define the variables:

C = pounds of chocolate candies used.

S = pounds of sugar candies used.

We know that he wants to make a total of 15lb, then:

C + S = 15

We also want that the price per pound to be equal to 5$.

This means that the price of the 15 pounds will be the same as the price of the un-mixed candies.

C*$7.00 + $2.00*S = $5.00*15

Then we have a system of equations:

C + S = 15

C*$7.00 + $2.00*S = $5.00*15

To solve this system, we need to start by isolating one of the variables, i will isolate C in the first equation:

C = 15 - S

now we can replace that in the other equation:

(15 - S)*$7.00 + $2.00*S = $5.00*15

Now we can solve this for S.

$105 - $5.00*S = $75

$105 - $75 = $5.00*S

$30 = $5.00*S

$30/$5 = S = 6

Then there are 6 pounds of sugar candy, and we can use the equation:

C + S = 15

C + 6 = 15

C = 15 - 6 = 9

There are 9 pounds of chocolate candy in the mix.

**Step-by-step explanation:**

To find the pounds of chocolate and sugar candies the owner should use, set up and solve equations based on the given information.

Let's assume that the owner uses x pounds of chocolate candies and y pounds of sugar candies.

According to the problem, the total weight of the candies should be 15 pounds.

So, we can set up the equation:

- x + y = 15

The owner wants to sell the candies for $5.00 per pound. We can set up another equation to represent the total value of the candies:

- 7x + 2y = 5 * 15

Now we can solve these equations to find the values of x and y.

By solving the equations, we find that x = 9 and y = 6.

Therefore, the owner should use 9 pounds of chocolate candies and 6 pounds of sugar candies.