1. If the radius of the sphere above is 4 in, what is the approximate volume of the sphere?

a bookcase has 2 shelves the top shelf has 10 more than 1/3 the number of books on the bottom shelf. there are 12 books on the b

solniwko [45]

There would be 14 on the top shelf

7 0

2 years ago

The distribution of the number of transactions performed at a bank each day is approximately normal with mean 478 transactions a

jolli1 [7]

Answer:

e. 0.977

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

$\mu = 478, \sigma = 64$

Which of the following is closest to the proportion of daily transactions greater than 350?

This is 1 subtracted by the pvalue of Z when X = 350. So

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{350 - 478}{64}$

$Z = -2$

$Z = -2$ has a pvalue of 0.023

1 - 0.023 = 0.977

So the correct answer is:

e. 0.977

6 0

2 years ago

Solve the problem 3g+7g+8=-10+g

Vinil7 [7]

First simplify like terms (things with the same letter):

3g + 7g + 8 = -10 + g

10g + 8 = -10 + g

Next we should take g off both sides:

9g + 8 = -10

Next isolate 9g by taking 8 off both sides:

9g = -18

Next divide both sides by 9 to find the value of g:

g = -2

3 0

2 years ago

Find the area in blue.

barxatty [35]

Answer: The area is 13 $\pi$ ft^2 or 40.84 ft^2

Step-by-step explanation:

First find the area of the square and subtract it from the area of the circle.

The area of a square is one of the side length squared.

A= 6^2

A = 36

Now find the area of the whole circle.As it indicates that the diameter is 14ft and to find the area of a circle,we need square the radius and multiply it by pi.

Since the diameter is 14 divide it by 2 to find the radius. 14/2 = 7

A= 7^2* $\pi$

A = 49 $\pi$ We will leave the area in terms of pi.

49 $\pi$ - 36 = 13 $\pi$

7 0

2 years ago

Carlos tiene 3 chocolates más que mariana, mariana tiene 3 chocolates más que verónica y verónica tiene 3 chocolates más que lui

Elden [556K]

Carlos : 23.5

Mariana : 20.5

Verónica : 17.5

Luis : 14.5

I THINK !!!
I DONT KNOW IF IM RIGHT!!!!!

6 0

2 years ago