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VladimirAG [237]
3 years ago
7

Put into slope intercept form:(-4, 1); m= -2/3

Mathematics
1 answer:
zaharov [31]3 years ago
7 0
Y = mx + b
slope(m) = -2/3
(-4,1)...x = -4 and y = 1
now we sub and find b, the y int
1 = -2/3(-4) + b
1 = 8/3 + b
1 - 8/3 = b
3/3 - 8/3 = b
-5/3 = b

so ur equation is : y = -2/3x + (-5/3) which can be written as : y = -2/3x - 5/3
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Arada [10]

Answer:

85.31% probability that their mean rebuild time exceeds 8.1 hours.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution:

Problems of normally distributed samples are 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}

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 pvalue, we get the probability that the value of the measure is greater than X.

Central limit theorem:

The Central Limit Theorem estabilishes that, for a random variable X, with mean \mu and standard deviation \sigma, the sample means with size n of at least 30 can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}

In this problem, we have that:

\mu = 8.4, \sigma = 1.8, n = 40, s = \frac{1.8}{\sqrt{40}} = 0.2846

If 40 mechanics are randomly selected, find the probability that their mean rebuild time exceeds 8.1 hours.

This is 1 subtracted by the pvalue of Z when X = 8.1. So

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

By the Central Limit Theorem

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

Z = \frac{8.1 - 8.4}{0.2846}

Z = -1.05

Z = -1.05 has a pvalue of 0.1469

1 - 0.1469 = 0.8531

85.31% probability that their mean rebuild time exceeds 8.1 hours.

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3 years ago
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Answer:

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5 0
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Step-by-step explanation:

If you use point slope formula you get

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3 years ago
Rose works eight hours a day for five days a week. how many hours will she work in six weeks
MAVERICK [17]
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Answer:

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y2-y1

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------ = ---

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~Anna

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