Find the value of x.

CORRECT answer gets BRAINLIEST, RATES, THANKS ON PROFILE AND HERE, AND 15 POINTS.

aleksandrvk [35]

The volume of the cylinder by definition is given by:
V = pi * r ^ 2 * h
Where,
r: radio
h: height
Substituting values we have:
V = 3.14 * (14/2) ^ 2 * 4.5
V = 692.37 ft³
Answer:
the volume of the pool is:
V = 692.37 ft³

6 0

3 years ago

An English professor assigns letter grades on a test according to the following scheme. A: Top 14% of scores B: Scores below the

NeX [460]

Answer:

Grades between 62 and 64 result in a D grade.

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:

$\mu = 71.9, \sigma = 7.8$

Find the numerical limits for a D grade.

D: Scores below the top 84% and above the bottom 10%

So below the 100-84 = 16th percentile and above the 10th percentile.

16th percentile:

This is the value of X when Z has a pvalue of 0.16. So X when Z = -0.995.

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

$-0.995 = \frac{X - 71.9}{7.8}$

$X - 71.9 = -0.995*7.8$

$X = 64$

10th percentile:

This is the value of X when Z has a pvalue of 0.1. So X when Z = -1.28.

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

$-1.28 = \frac{X - 71.9}{7.8}$

$X - 71.9 = -1.28*7.8$

$X = 62$

Grades between 62 and 64 result in a D grade.

6 0

3 years ago

if twenty percent of the students play in the band and the band has forty members, how many students are there?

olchik [2.2K]

The total amount of students are 200

5 0

3 years ago

Barbara sells iced tea for $1.49 per bottle and water for $1.25 per bottle. She wrote an equation to find the number of drinks s

ipn [44]

The way she has the equation set up, she is only selling 1 bottle of tea and x bottles of water. So, she basically forgot to put the variable in that represents the number of bottles of tea sold

the way it should be : x = # of bottles of water, and y = # of bottles of tea
1.25x + 1.49y = 100

8 0

3 years ago

Read 2 more answers

A wheel has a radius of 15 cm. Approximately how far does it travel in 4 revolutions?

ArbitrLikvidat [17]

Radius is 15 cm
Circumference = 2 pi r
C = 2 x 3.14 x 15cm
C = 94.2 cm
94.2 cm x 4 (revolutions) = 376.8 = D

7 0

3 years ago