Answer: The z-scores for a woman 6 feet tall is 2.96 and the z-scores for a a man 5'10" tall is 0.25.
Step-by-step explanation:
Let x and y area the random variable that represents the heights of women and men.
Given : The heights of women aged 20 to 29 are approximately Normal with mean 64 inches and standard deviation 2.7 inches.
i.e. 
Since , 
Then, z-score corresponds to a woman 6 feet tall (i.e. x=72 inches).
[∵ 1 foot = 12 inches , 6 feet = 6(12)=72 inches]
Men the same age have mean height 69.3 inches with standard deviation 2.8 inches.
i.e. 
Then, z-score corresponds to a man 5'10" tall (i.e. y =70 inches).
[∵ 1 foot = 12 inches , 5 feet 10 inches= 5(12)+10=70 inches]
∴ The z-scores for a woman 6 feet tall is 2.96 and the z-scores for a a man 5'10" tall is 0.25.
Answer:
thanks for the free points
Step-by-step explanation:
In the morning she worked 3 hours and 45 minutes. In the afternoon she worked 5 hours and 15 minutes. That is a total of 9 hours. At $16.50 per hour for 8 hours that comes to $132. Plus the 1 hour over time with breaks down to $18.50 plus $8.25 totaling $24.75. Add that to the $132 and she made a total of $156.75 for Wednesday’s work. I hope this helps with your question.
-1
29
-46
-46
27
-28
13
-1
-16
38
15
86
-63
-20
-17
-60
87
-36
-16
-42
18
-9
-63
-49
22
-15
-20
-74
27
53
Goes by row, up to down
The amount invested in the account that yields 7% interest is $4000.
The amount invested in the account that yields 12% interest is $1000.
<h3>What are the linear equations that represent the question?</h3>
a + b = 5000 equation 1
0.07a + 0.12b = 400 equation 2
Where:
a = amount invested in the account that yields 7% interest.
b = amount invested in the account that yields 12% interest.
<h3>How much is invested at each rate?</h3>
Multiply equation 1 by 0.07
0.07a + 0.07b = 350 equation 3
Subtract equation 3 from equation 2
0.05b = 50
b = 50 / 0.05
b = 1000
Subtract 1000 from 5000: 5000 - 1000 = 4000
To learn more about linear functions, please check: brainly.com/question/26434260
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