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pogonyaev
3 years ago
10

According to the United States Health and Human Services, the mean height for Americans is 1.757 meters for men and 1.618 meters

for women. The standard deviation is 0.074 meters for men's height and 0.069 meters for women's height. Michelle’s height is 1.758 meters. What is her z-score?
Mathematics
1 answer:
Alchen [17]3 years ago
7 0

Answer:

Her z-score is 2.03.

Step-by-step explanation:

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

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

Michelle’s height is 1.758 meters. What is her z-score?

Michelle's is a woman.

The average height of women is \mu = 1.618 and the standard deviation is \sigma = 0.069

This is Z when X = 1.758. So

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

Z = \frac{1.758 - 1.618}{0.069}

Z = 2.03

Her z-score is 2.03.

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A circle with radius of 5 cm sits inside a 11 cm * 11 cm rectangle.
Nadusha1986 [10]

Answer:

42.43  cm^{2}

Step-by-step explanation:

Given:

A circle with a radius of 5 cm sits inside a 11 cm x 11 cm rectangle.

Question asked:

What is the area of the shaded region as shown in the figure ?

Solution:

First of all calculate area of circle and then area of rectangle:-

Area\ of\  cirle=\pi r^{2}

                      =\frac{22}{7} \times5\times5\\ \\ =\frac{550}{7}\\  \\=78.571\   cm^{2}\\

<u>As here length an width both are 11 cm, we can say that this is a square.</u>

<u />Area\ of\ square=(Side)^{2}

                         =11\times11=121\ cm^{2}

Now, area of shaded region = Area of square - Area of circle

                                               = 121 - 78.571 = 42.429 cm^{2}

Therefore, the area of the shaded region will be 42.43  cm^{2}

Download docx
5 0
3 years ago
Are the triangles congruent, if so by what theorem/postulate
liberstina [14]

Yes, SSS

PR are already a given side. PS and PQ are also given sides. Lastly, RS and RQ are given sides.

4 0
3 years ago
5. An investment doubles in value every 9 years. What was the starting value of the investment if
arlik [135]

Answer:

16,00

Step-by-step explanation:

9 years is the (time)

divide the 27 years by 9 to see how many times it doubles

the ans is 3

now simply divide the value which is $4,800 by the 3

this gives you 1,600

7 0
3 years ago
The distance to the nearest exit door is no more than 200 feet.
rosijanka [135]

Answer:

Step-by-step explanation:

It is given that the distance of the nearest exit door is no more than the 200 feet. so this can be represented using an inequality.

since it is no more than 200 means the maximum it can be is 200 feet .

Now we are representing the distance using the variable d and we have established that the maximum value of d can be 200 so it can represented

by this inequality

d\leq 200

5 0
3 years ago
Read 2 more answers
36 + (12 - 8) + 2 × 5​
ivanzaharov [21]

Answer:

50

Step-by-step explanation:

To answer this we need to use the PEMDAS strategy, first solve any questions in parentheses, next solve all multiplication and division problems from left to right. Next, solve all addition and subtraction problems from left to right.

36 + (12 - 8) + 2 × 5​

36 + 4 + 2 x 5

36 + 4 + 10

40 + 10

50

6 0
3 years ago
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