Compare the value of the underlined digit in 46395 and 14906

Weights of American adults are normally distributed with a mean of 180 pounds and a standard deviation of 8 pounds. What is the

ahrayia [7]

Answer:

15.87% probability that a randomly selected individual will be between 185 and 190 pounds

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:

$\mu = 180, \sigma = 8$

What is the probability that a randomly selected individual will be between 185 and 190 pounds?

This probability is the pvalue of Z when X = 190 subtracted by the pvalue of Z when X = 185. So

X = 190

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

$Z = \frac{190 - 180}{8}$

$Z = 1.25$

$Z = 1.25$ has a pvalue of 0.8944

X = 185

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

$Z = \frac{185 - 180}{8}$

$Z = 0.63$

$Z = 0.63$ has a pvalue of 0.7357

0.8944 - 0.7357 = 0.1587

15.87% probability that a randomly selected individual will be between 185 and 190 pounds

3 0

2 years ago

Could anyone solve this equation

Ainat [17]

I)
8 - 3x = 23
-3x = 15
x = -5

ii)
5x - 16 = 34
5x = 50
x = 10

iii)
2 - 5x = -3
-5x = -5
x = 1

6 0

2 years ago

A=(1/2)bh Solve the formula for h. Please show the steps of how you got the answer!

Flauer [41]

A = 1/2bh...for h
multiply both sides by 2
2A = bh
now divide both sides by b
(2a)/b = h

5 0

2 years ago

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Emmanuel carves a cone-shaped hollow out of a solid clay cylinder. What is the approximate volume of the solid portion of the cy

bixtya [17]

Answer:

$3.14r^2(h-\frac{1}{3}h_1)$

Step-by-step explanation:

Let h be the cylinders height and r the radius.

-The volume of a cylinder is calculated as:

$V=\pi r^2h$

-Since the cone is within the cylinder, it has the same radius as the cylinder.

-Let $h_1$ be the height of the cone.

-The area of a cone is calculated as;

$V=\pi r^2 \frac{h}{3}\\\\=\frac{1}{3}\pi r^2h_1$

The volume of the solid section of the cylinder is calculated by subtracting the cone's volume from the cylinders:

$V=V_{cy}-V_{co}\\\\=\pi r^2h-\frac{1}{3}\pi r^2 h_1, \pi=3.14\\\\=3.14r^2(h-\frac{1}{3}h_1)$

Hence, the approximate area of the solid portion is $3.14r^2(h-\frac{1}{3}h_1)$

5 0

3 years ago

Find the value of x..

shepuryov [24]

Answer:

The answer is 116

Step-by-step explanation:

Because this shape is a quadrilateral, so the sum of the angles of a quadrilateral is a total of 360 degrees. So i added 90 + 90 + 64 = 244. And 360 - 244 = 116.

3 0

2 years ago

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