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sesenic [268]
3 years ago
5

What is the value of p if the line that passes through (2,-4) and (p,8) has a slope of 1/2? ​

Mathematics
1 answer:
Irina18 [472]3 years ago
6 0

Answer:

Step-by-step explanation:

(2,-4)....x1= 2 and y1 = -4

(p,8).....x2 = p and y2 = 8

slope(m) = 1/2

now use the slope formula (y2 - y1) / (x2 - x1) and sub in what we know...

slope(m) = (y2 - y1) / (x2- x1)

1 / 2 = (8 - (-4) / (p - 2)

1 / 2 = (8 + 4) / (p - 2)

1/2 = 12 / (p - 2) .....now multiply both sides by (p - 2)

1/2(p - 2) = 12

1/2p - 1 = 12

1/2p = 12 + 1

1/2p = 13

p = 13 / (1/2)

p = 13 * 2/1

p = 26

so the value of p is 26

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Answer:

The diameter that separates the bottom 9% is 5.02 millimeters.

The diameter that separates the top 9% is 5.2 millimeters.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the z-score 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 p-value, we get the probability that the value of the measure is greater than X.

Mean of 5.11 millimeters and a standard deviation of 0.07 millimeters.

This means that \mu = 5.11, \sigma = 0.07

Bottom 9%:

The 9th percentile, which is X when Z has a pvalue of 0.09. So X when Z = -1.34.

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

-1.34 = \frac{X - 5.11}{0.07}

X - 5.11 = -1.34*0.07

X = 5.02

The diameter that separates the bottom 9% is 5.02 millimeters.

Top 9%:

The 100 - 9 = 91th percentile, which is X when Z has a pvalue of 0.91. So X when Z = 1.34.

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

1.34 = \frac{X - 5.11}{0.07}

X - 5.11 = 1.34*0.07

X = 5.2

The diameter that separates the top 9% is 5.2 millimeters.

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3 years ago
Back in ye olden days, cell phone companies charged for texting. A cell phone company charges 10 cents per text message if a cus
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<em>If you send 1 more text, it will be worth it because you will save:</em>

<em>= 16 - 12.06</em>

<em>= $3.94</em>

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