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swat32
3 years ago
10

Evaluate u/z+xy^2 for u=10, x=3, y=7, and z=5

Mathematics
1 answer:
a_sh-v [17]3 years ago
3 0
I don't know I don't know I don't know I don't know I don't know I don't know 
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To estimate the mean height μ of male students on your campus,you will measure an SRS of students. You know from government data
nexus9112 [7]

Answer:

a) \sigma = 0.167

b) We need a sample of at least 282 young men.

Step-by-step explanation:

Problems of normally distributed samples can be solved using 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}

This Zscore is how many standard deviations the value of the measure X 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) What standard deviation must x have so that 99.7% of allsamples give an x within one-half inch of μ?

To solve this problem, we use the 68-95-99.7 rule. This rule states that:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviations of the mean.

99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we want 99.7% of all samples give X within one-half inch of \mu. So X - \mu = 0.5 must have Z = 3 and X - \mu = -0.5 must have Z = -3.

So

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

3 = \frac{0.5}{\sigma}

3\sigma = 0.5

\sigma = \frac{0.5}{3}

\sigma = 0.167

(b) How large an SRS do you need to reduce the standard deviationof x to the value you found in part (a)?

You know from government data that heights of young men are approximately Normal with standard deviation about 2.8 inches. This means that \sigma = 2.8

The standard deviation of a sample of n young man is given by the following formula

s = \frac{\sigma}{\sqrt{n}}

We want to have s = 0.167

0.167 = \frac{2.8}{\sqrt{n}}

0.167\sqrt{n} = 2.8

\sqrt{n} = \frac{2.8}{0.167}

\sqrt{n} = 16.77

\sqrt{n}^{2} = 16.77^{2}

n = 281.23

We need a sample of at least 282 young men.

6 0
3 years ago
From point A(3,-2), walk 4 spaces in the negative x direction, and 3 spaces in the positive y direction. Use a paper cutout to l
Zolol [24]

Answer: 3,-2Step-by-step explanation: ... Use a paper cutout to label the point you reach as. B. What are the coordinates of point B?



Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
Evaluate x + sq root(yz) when x = 3, y = 2, and z = –8.
Alex_Xolod [135]
Just remember  \sqrt{-1} = i

Sub in the numbers:
3 + \sqrt{-16} = 3+  \sqrt{16}\sqrt{-1} = 3 + 4i
7 0
3 years ago
Which phrase has the same meaning as 12y - 2?
Yanka [14]
D, 12y is also 12 • y and when there is an answer to a multiplication problem, it’s a product. and that minus 2 is subtracting.
3 0
3 years ago
Read 2 more answers
How to simplify 6 to the power of -1 over -8 to the power of 0
neonofarm [45]

Answer:

\frac{1}{6}

-8 to the power of 0 = 1

(Anything to the power of 0 = 1)

and 6 to the power of -1 = 1/6

( Any number to the power of a negative number will become a fraction)

Example.

5^{ - 3}  =  \frac{1}{5^{3} }

So is will be 1/6 over 1

Which gives you your final answer.

4 0
2 years ago
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