# What is the volume of a sphere with a surface area of 196 π ft2 ? Question 12 options: 1372/ 3 π ft3 457/ 3 π ft3 226/ 3 π ft3 420 π ft3

1372/3

Step-by-step explanation:

## Related Questions

How to write 7/9 as a decimal

divide 7 into 9 and if you have a calculator it equals 0.77 repeating

Find the center of this circle by completing the square. x^2+y^2-6x+8y+10=0
Show work

Center: (3, - 4)

Step-by-step explanation:

We can start to solve this problem by converting this equation into standard form. In other words, by completing the square --- (1)

Subtract " 10 " from either side of the equation x² + y² - 6x + 8y + 10 = 0

x² + y² - 6x + 8y = - 10

Step 1: Complete the square for the expression " x² - 6x "

Using the quadratic equation ax² + bx + c we know that a = 1, b = - 6, c = 0. Assume that d = b / 2a. We have...

d = - 6 / 2(1) = - 6 / 2 = - 3

Now let's assume that e = c - (b²) / 4a...

e = 0 - (-6)² / 4(1) = 0 - 36 / 4 = 0 - 9 = 9 (Substitute values d and e)

(x - 3)² - 9

Step 2: Respectively we can complete the square for the remaining expression " y² + 8y "

Here a = 1, b = 8, c = 0

d = 8 / 2(1) = 8 / 2 = 4

e = 0 - (8)² / 4(1) = 0 - 64 / 4 = 0 - 16 = - 16 (Substitute values)

(y + 4)² - 16

This leaves us with the expression " (x - 3)² - 9 + (y + 4)² - 16 = - 10. " If we simplify this a bit further it leaves us with the following circle equation. Using this we can identify the center of the circle as well --- (2)

As you can see our center here is (3, - 4)

Carl is balancing his checking account. After comparing the bank statement to his register, he notices an outstanding debit of $58.00.Which shows the correct amount in Carl’s checking account?$51.75
$109.75$167.75
$221.87 ### Answers Answer:$51.75

Hope this helps!

Step-by-step explanation:

A. \$51.75

Give B (-4,-6) under which selection is B'(4,6)?

The answer to this is reflected in the y-axis

A function is described by the following ordered pairs: (7, 4.5) (–4, 7.2) (–7.2, –4) (5.2, 3) Which set of ordered pairs represents the inverse of the function? (7, –4), (–7.2, –4), (3, 5.2), (4.5, –4) (7, –4), (–7.2, 5.2), (4.5, 7.2), (–4, 3) (4.5, 7), (7.2, –4), (–4, –7.2), (3, 5.2) (7, 4.5), (–4, 7.2), (–7.2, –4), (5.2, 3)

Step-by-step explanation:

it's C

Step-by-step explanation:

Assume a significance level ofα=0.05

and use the given information to complete parts​ (a) and​ (b) below.Original​ claim:

LessLess

than

51​%

of adults would erase all of their personal information online if they could. The hypothesis test results in a​ P-value of

0.0148

a. State a conclusion about the null hypothesis.​ (Reject

Upper H 0H0

or fail to reject

Upper H 0H0​.)

A.

RejectReject

Upper H 0H0

because the​ P-value is

less than or equal toless than or equal to

alphaα.

B.

RejectReject

Upper H 0H0

because the​ P-value is

greater thangreater than

alphaα.

C.

Fail to rejectFail to reject

Upper H 0H0

because the​ P-value is

greater thangreater than

alphaα.

D.

Fail to rejectFail to reject

Upper H 0H0

because the​ P-value is

less than or equal toless than or equal to

alphaα.

b. Without using technical​ terms, state a final conclusion that addresses the original claim. Which of the following is the correct​ conclusion?

A.

The percentage of adults that would erase all of their personal information online if they could is

lessless

than or equal to

51​%.

B.

There

isis

sufficient evidence to support the claim that the percentage of adults that would erase all of their personal information online if they could is

moremore

than

51​%.

C.

The percentage of adults that would erase all of their personal information online if they could is

moremore

than

51​%.

D.

There

is notis not

sufficient evidence to support the claim that the percentage of adults that would erase all of their personal information online if they could is

moremore

than

51​%.

Part a: The correct answer is A, reject H0 because p value is less than . Part B: The correct answer is C, the percentage of adults that would erase their personal information online if they could is more than 51%.

Step-by-step explanation:

part a. The essential idea of hypothesis testing in statistics is to evaluate the probability p (p value) of some representative parameter, compared to a level of likelihood that is set before starting the test (). In this case, we are interested in a level of likelihood , which means that if the probability of the parameter is less than 5%, we will reject the hypothesis that this parameter is representing, since it's so unlikely. Of course, the significance level is arbitrary and must be payed attention, according to the particular situation. Therefore, the correct anser is A.

part b. Since we rejected the hypothesis to a 5% significance level, we reject the fact that less than 51% of adults would erase their personal information online if they could. This is equivalent to saying that a percentage of adults equal to or more than 51% would erase their personal information if they could, which is answer C.

We should reject the null hypothesis because the P-value is less than the significance level. This provides statistically significant evidence to support the claim that less than 51% of adults would erase all of their personal information online if they could.

### Explanation:

The questions relate to hypothesis testing in Statistics, which is a tool to make inferences about a population parameter based on a sample's observation.

a. In hypothesis testing, a P-value is the probability that the observed data would occur under the null hypothesis. If the P-value is less than or equal to the significance level α, we reject the null hypothesis. In this case, the P-value is 0.0148, which is less than the significance level α=0.05. Therefore, we should Reject the null hypothesis. The correct answer is A.

b. Since we rejected the null hypothesis, we have evidence to support the alternate hypothesis. In this context, the original claim was that less than 51% of adults would erase all of their personal information online if they could. The test result provides statistically significant evidence to support the original claim. Therefore, the correct conclusion is A.