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klio [65]
3 years ago
11

1. Name a pair of vertical angles.

Mathematics
1 answer:
Goryan [66]3 years ago
4 0

1)b and f, a and d

2)c and d

3)d and f

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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
WILL AWARD BRAINLIEST AND 30 PTS IF THERE IS A GOOD EXPLANATION. ANSWER IS NOT 243. question: In how many ways can we put five i
Bumek [7]

Answer:

243 ways

Step-by-step explanation:

Fruits = 5

Bowls = 3

Remember that, There are three bowls for five fruits. So the possible outcomes are:

=> 3^5 = 3*3*3*3*3 = 243 ways

8 0
3 years ago
What is the rate of change of y=-4/9x+5
WARRIOR [948]

Answer:

Rate of change of y is -  \frac{4}{9}

Step-by-step explanation:

y =  -  \frac{4}{9} x + 5 \\  \\ differentiating \: with \: respect \: to \: x \\  \\  \frac{dy}{dx}  =  -  \frac{4}{9} \frac{d}{dx} x +  \frac{d}{dx} 5 \\  \\  \frac{dy}{dx}  =  -  \frac{4}{9} .1 +  0 \\  \\  \huge \red{\frac{dy}{dx}  =  -  \frac{4}{9} } \\  \\ rate \: of \: change \: of \: y =-  \frac{4}{9}

8 0
2 years ago
What is x?
Dvinal [7]

Answer:

x= 3/17

Step-by-step explanation:

4x(2x+6) =8x^2(23-5)

8x^2 +24x = 144 x^2

24x = 136 x^2

24= 136 x

x=24/136

x=3/17

4 0
2 years ago
If -2 is a root of the quadratic equation x²-5x+c find the value of c
Tcecarenko [31]

Answer:

Step-by-step explanation:

P(x)= x^2-5x+c=0

P (-2)= (-2)^2-5 (-2)+c=0

= 4+10+c=0

=14+c=0

C=(-14)

3 0
3 years ago
Read 2 more answers
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