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3 years ago

Find the answers to these two problems. PLEASE HELP!!

Mathematics

1 answer:

AleksAgata [21]3 years ago

6 0

Alternate Interior Angles are a pair of angles on the inner side of each of those two lines but on opposite sides of the transversal.

1st question

angles 6 and 7
or
angles 2 and 3

2nd question

Angles 3 and 2
or
Angles 5 and 7

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a triangle has verticals A(-5,-4), B(2,6), C(4,-3) The center of dilation is the origin and (x,y) (3x,3y). what are the vertices

Gnom [1K]

A' (3(-5),3(-4))= (-15,-12)

B' (3(2),3(6))=(6,18)

C'(3(4),3(-3))=(12,-9)

6 0

1 year ago

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 $Z = -3$ .

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

$3 = \frac{0.5}{\sigma}$

$3\sigma = 0.5$

$\sigma = \frac{0.5}{3}$

$\sigma = 0.167$

(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.

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3 years ago

How many sides does a regular polygon have if each exterior angle measures 30 degree

Nataly [62]

As the exterior angles always add up to 360, you can find the number of sides by dividing 360 by the measure of your exterior angle, 30. This gives you 360/30=12, meaning your polygon has 12 sides.

5 0

3 years ago

The singing club charged each of its 20 members $2.60 to hire a hall for a performance . The hall owner gave the club $4.50 chan

ioda

Here there are 20 members in all.

Each member paid $2.60.

Total amount paid by members = 20 × 2.60 = $52

The club paid $47.50 to hire the hall. ......Answer

Hence the amount received by the hall = 52 - 4.50 = $ 47.50

The Hall charged $47.50 as the fee.

3 0

3 years ago

Eight times the sum of 8 and some number is 16. What is the number?

sesenic [268]

8(8 + X) = 16

64 + X = 16
-64 -64

X = -48

5 0

3 years ago