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3 years ago

Find an equation of the line with slope 15 passing through the point (10,9)

Mathematics

1 answer:

Viktor [21]3 years ago

4 0

Answer:

The answer is: y = 15x - 141

Step-by-step explanation:

Begin with the point slope form of a line:

y - y1 = m(x - x1)

Put the givens in place of the variables:

y - 9 = 15(x - 10)

Solve for y:

y - 9 = 15x - 150

y = 15x - 141

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When n is small (less than 30), how does the shape of the t distribution compare to the normal distribution?

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1 year ago

The number of private investigators is expected to increase from 52,000 in 2006 to 61,000 in 2016. If there are 648,982 police o

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4 years ago

Read 2 more answers

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

Use the information and diagram to answer the following question.

nevsk [136]

Answer:

910 ft

Step-by-step explanation:

This question sets up the equation tan20°=x/2,500. Solve for X by multiplying 2,500 on both sides giving you x = 2,500tan20°. Finally, plug that in a calculator and you get 909.92. Round it to the nearest foot and you get 910

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3 years ago

Evaluate u +xy, for u = 12,x = 7, and y = 4

jeka57 [31]

Answer:

Step-by-step explanation:

Plug in 12 for u, 7 for x, and 4 for y in the given expression:

u + xy = 12 + (7)(4)

Remember to follow PEMDAS. First, multiply, and then add:

u + xy = 12 + (7 * 4) = 12 + (28) = 40

40 is your answer.

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3 years ago

Find an equation of the line with slope 15 passing through the point (10,9)​

Find an equation of the line with slope 15 passing through the point (10,9)