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3 years ago

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Mathematics

1 answer:

Lina20 [59]3 years ago

6 0

Answer:

I cannot read the text on the picture, I can just read the numbers, based on what I can read it is D

Step-by-step explanation:

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The heights of adult men in America are normally distributed, with a mean of 69.8 inches and a standard deviation of 2.69 inches

Brilliant_brown [7]

Answer:

a) 1.93

b) 97.32% of men are SHORTER than 6 feet 3 inches

c) 2.71

d) 0.34% of women are TALLER than 5 feet 11 inches

Step-by-step explanation:

When the distribution is normal, we use 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.

a. If a man is 6 feet 3 inches tall, what is his z-score (to two decimal places)?

For man, $\mu = 69.8, \sigma = 2.69$

A feet has 12 inches, so this is Z when X = 6*12 + 3 = 75. So

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

$Z = \frac{75 - 69.8}{2.69}$

$Z = 1.93$

b. What percentage of men are SHORTER than 6 feet 3 inches?

Z = 1.93 has a pvalue of 0.9732

97.32% of men are SHORTER than 6 feet 3 inches

c. If a woman is 5 feet 11 inches tall, what is her z-score (to two decimal places)?

For woman, $\mu = 64.1, \sigma = 2.55$

Here we have X = 5*12 + 11 = 71.

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

$Z = \frac{71 - 64.1}{2.55}$

$Z = 2.71$

d. What percentage of women are TALLER than 5 feet 11 inches?

Z = 2.71 has a pvalue of 0.9966

1 - 0.9966 = 0.0034

0.34% of women are TALLER than 5 feet 11 inches

5 0

4 years ago

What is 7/9 divided by 1/3?<br>0 2<br>0 2 1/9<br>0 2 1/3<br>0 3

goblinko [34]

I believe the answer is 7/3 which is 2 1/3

8 0

3 years ago

Avante walked 1 and 1/2 miles in 22.5 minutes. Avante walked at a constant rate. How long did it take him to walk 1 mile?

Nady [450]

1 1/2 miles is the same as walking 1/2 a mile 3 times, so we can divide 22.5 minutes by 3 to find how long it takes to walk half a mile
22.5/3=7.5
We can then multiply 7.5 by 2 to get how long it takes to walk 1 mile
7.5 x 2 = 15 minutes
It takes Avante 15 minutes to walk 1 mile

8 0

3 years ago

If a polygon has a vertex at (161, -329) and it is translated 168 units to the right, what are the coordinates of that vertex's

bearhunter [10]

Vertex of the polygon is (161, -329)

The new vertex is shifted 168 units to the right. A horizontal shift can be achieved be adding or subtracting the number from the x-coordinate. A change in the y coordinate brings the vertical shift. So in this case the x-component will change only and y component will be the same.

A shift towards right means, the value of x component is increase as x gets larger as we move towards right on the graph. So moving 168 units to the right, we will get the following vertex (329 , -329)

Thus, the new vertex of the polygon will be at the point (329, -329)

5 0

3 years ago

Davonte has a yearly gym membership. His yearly

soldi70 [24.7K]

Answer:

sorry I don't know about it

3 0

3 years ago