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Rudik [331]
3 years ago
11

7a: Let f(x) = 4x. The graph of f(x) is transformed into the graph g(x) by a vertical stretch of 2 units and a translation of 5

units right. What is the equation for g(x)?
7b: Let h(x) = 10x. The graph of h(x) is transformed into the graph of g(x) by a vertical compression of 1/2 and a translation of 3 units up. What is the equation for g(x)?
Mathematics
1 answer:
Nastasia [14]3 years ago
8 0
Vertical stretch means y values are multiplied by 2, so 2f(x).
Translation of 5 units to the right, means x values minus 5 (it does the opposite to what you might think)
So overall g(x) = 2f(x-5) = 2(4(x-5)) = 8(x-5) = 8x-40

Vertical compression means y values are halved
3 units up mean y values plus 3
So ½h(x) + 3 = g(x) = ½(10x) + 3 = 5x + 3
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Answer:

A)n= 703.96

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Step by step Explanation:

Given that you want to be 99% confident that the sample percentage is within 3.1 percentage points of the true population percentage.

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A)Nothing is known therefore,

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For 90% confidence, z = 1.645

n = (zα/₂)²(p)(1-p)/M²

n= 1.645²× 0.5 × 0.5/0.031²

n= 703.96

Therefore, 703.96randomly selected air passengers must be​ surveyed to be 99%

B)we know that recent surveys surgest that about 38% of all air passengers prefer an aisle seat, thus p = 35% = 0.35

n = (zα/₂)²(p)(1-p)/M²

n= (1.645²× 0.31 × 0.69)/0.031²

n= 602.308

Hence, 602.308 randomly selected air passengers must be​ surveyed to be 90% confident that the sample percentage is within 3.1 percentage points of the true population percentage.

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3 years ago
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