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tensa zangetsu [6.8K]
3 years ago
8

Each equation below represents a transformation(s) on the linear parent function. Look at each equation and identify which trans

formation(s) occurred to the parent function (there may be more than one). Use the abbreviations shown at the bottom.
EX: 1. g(x) = 4(x - 3) VS, HSR
2. g(x) = -2/5(x - 3)
3. g(x) = 3/4(x - 5) + 4
4. g(x) = 1/3(x + 3) - 2
5. g(x) = 5/2(x - 2) + 3
6. g(x) = 3/8x - 3
7. g(x) = 7(x + 2)
8. g(x) = (3/10x) + 3
9. g(x) = -4 (x - 2)
10. g(x) = 5x + 2

Horizontal shift left: HSL
Horizontal shift right: HSR
Horizontal flip: HF
Horizontal stretch: HS
Horizontal compression: HC
Vertical shift up: VSU
Vertical shift down: VSD
Vertical flip: VF
Vertical stretch: VS
Vertical compression: VC
Mathematics
1 answer:
stellarik [79]3 years ago
8 0
Woah that’s a lot of work!! Good luck
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The College Student Journal (December 1992) investigated differences in traditional and nontraditional students, where nontradit
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Answer:

There is a 0.13% probability that the random sample of 100 nontraditional students have a mean GPA greater than 3.65.

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

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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. Subtracting 1 by the pvalue, we This p-value is the probability that the value of the measure is greater than X.

For this problem, we have that:

Based on the study results, we can assume the population mean and standard deviation for the GPA of nontraditional students is \mu = 3.5 and \sigma = 0.5.

We have a sample of 100 students, so we need to find the standard deviation of the sample, to use in the place of \sigma in the z score formula.

s = \frac{\sigma}{\sqrt{100}} = \frac{0.5}{10} = 0.05.

What is the probability that the random sample of 100 nontraditional students have a mean GPA greater than 3.65?

This is 1 subtracted by the pvalue of Z when X = 3.65. So

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

Z = \frac{3.65 - 3.50}{0.05}

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