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sergiy2304 [10]
3 years ago
5

Help please because i am very dumb

Mathematics
1 answer:
Sloan [31]3 years ago
6 0
A) 7000
B) 20000
C) 300000
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Heights of Women. Heights of adult women are distributed normally with a mean of 162 centimeters and a standard deviation of 8 c
Bogdan [553]

Answer:

a) 6.68% of heights less than 150 centimeters

b) 58.65% of heights between 160 centimeters and 180 centimeters

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.

In this question, we have that:

\mu = 162, \sigma = 8

a) The percentage of heights less than 150 centimeters

We have to find the pvalue of Z when X = 150. So

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

Z = \frac{150 - 162}{8}

Z = -1.5

Z = -1.5 has a pvalue of 0.0668

6.68% of heights less than 150 centimeters

b) The percentage of heights between 160 centimeters and 180 centimeters

We have to find the pvalue of Z when X = 180 subtracted by the pvalue of Z when X = 160.

X = 180

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

Z = \frac{180 - 162}{8}

Z = 2.25

Z = 2.25 has a pvalue of 0.9878

X = 160

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

Z = \frac{160 - 162}{8}

Z = -0.25

Z = -0.25 has a pvalue of 0.4013

0.9878 - 0.4013 = 0.5865

58.65% of heights between 160 centimeters and 180 centimeters

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3 years ago
Winston is making steaks for his 4 friends. If each steak is 7.7 oz, how much steak is Winston making? Choices are:
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Answer:D

Step-by-step explanation:

6 0
2 years ago
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Evaluate: log216<br><br> Select the appropriate response<br> A) 0<br> B) -1<br> C) 7
stepladder [879]

Answer:

4

Step-by-step explanation:

log2(16)

log2(2^4)

4 log2(2)

4 × 1

4

It should be 4

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3 years ago
Ben is buying a tiny house. He will borrow $23,000 at a rate of 3% per year for 4 years. If the interest is compounded annually,
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Answer:

$25,886.70

Step-by-step explanation:

8 0
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Need help on geometry 2
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x=4

h=4\sqrt{3}

Area=32\sqrt{3} (answer A)
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