MATHEMATICS COLLEGE

In a certain​ city, the average​ 20- to​ 29-year old man is 72.5 inches​ tall, with a standard deviation of 3.2 ​inches, while the average​ 20- to​ 29-year old woman is 64.5 inches​ tall, with a standard deviation of 3.8 inches. Who is relatively​ taller, a​ 75-inch man or a​ 70-inch woman?

Answers

Answer 1
Answer:

We can use z scores to see which of the given values are relatively higher(taller) relative to their groups.

The 70-inch woman is relatively taller in women's group than 75-inch man in men's group (specified group).

How to get the z scores?

If we've got a normal distribution, then we can convert it to standard normal distribution and its values will give us the z score.

If we have then it can be converted to standard normal distribution as

Using the above method to get the z scores for both the 75 inch man and 70 inch woman

Let X tracks height of men and Y tracks height of women, then we have:

Converting them to standard deviation and getting the z score:

For 75 inch man:

For 70 inch woman:

Thus,  

The 70-inch woman is relatively taller in women's group than 75-inch man in men's group (specified group).

Learn more about standard normal distribution here:

brainly.com/question/14989264

Answer 2
Answer:

Answer:

​ 70-inch woman is taller.

Step-by-step explanation:

Given data:

For men

age group = 20 - 29 year

Height = 72.5 inches

standard deviation = 3.2 inches

For women

age group = 20 - 29 year

Height = 64.5 inches

standard deviation = 3.8 inches

To find:

who is taller?  a​ 75-inch man or a​ 70-inch woman?

To find that, firstly we find z- score for each gender.

Solve:

Z-score=(x-μ)/σ

where:

μ=mean

σ=std deviation

Z(men) = (75-72.5)/3.2

            = 0.781

Z(women) = (70-64.5)/3.8

               = 1.447

From the above, the z-score for the woman is relatively larger than that of the man, this means that the woman is taller.


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Tell what whole number you can substitute for x in the following list so the numbers are ordered from least to greatest. 2/x ,x/6, 70%

Answers

Remark
Whole numbers are > 0. 
Your choices are 1 2 3 4 5. 
6 looks good but it won't work. The problem is that x / 6 = 1 if x = 6. Try it and see.

6/6 = 1
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So will five work? 5 / 6 = 0.8333. That's still too big. How about 4

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Note than 3 will not work (why) nor will 2. 

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Answers

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Answers

Answer:

4.200

Step-by-step explanation:

Change the divisor 0.9 to a whole number by moving the decimal point 1 places to the right. Then move the decimal point in the dividend the same, 1 places to the right.

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