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RoseWind [281]
3 years ago
14

Identify an equation in point-slope form for the line perpendicular to y = -1/2x + 11 that passes through (4, -8)

Mathematics
1 answer:
andrey2020 [161]3 years ago
6 0

Answer:

y+8 = 2(x-4)

Step-by-step explanation:

Perpendicular lines have negative reciprocal slopes. Since we know the slope of the first line is -1/2, this means the slope of the line perpendicular to it is 2.

And since we know the coordinated located on the line, we can fill out the formula for poiny-slope form:

y-y1 = m(x-x1)

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A study was conducted to investigate the relationship between maternal smoking during pregnancy and the presence of congenital m
Pachacha [2.7K]

Answer:

a) In the explanation.

b) P=0.09714

c) P=0.0866

d) p=0.208

Step-by-step explanation:

a) The sampling distribution will have this properties:

1 - The sampling distribution of a proportion is equal to the binomial distribution.

2 - The mean of the sampling distribution will be equal to the proportion of the population (0.328).

\mu=\pi=0.328

3 - The standard deviation will be equal to the square root of the product of the proportion and its complementary, divided by the sample size.

\sigma_s=\sqrt{\pi(1-\pi)/n}=\sqrt{0.328*(1-0.328)/25}=0.094

B) The fraction with sample proportion of 0.45 or higher is

z=(p-\pi)/\sigma=(0.45-0.328)/0.094=1.298\\\\P(p\geq0.45)=P(z\geq 1.298)=0.09714

C) The fraction with sample proportion of 0.20 or lower is

z=(p-\pi)/\sigma=(0.2-0.328)/0.094=-1.362\\\\P(p\leq0.2)=P(z\geq -1.362)=0.0866

D) The value of p that cuts off the lower 10% of the distribution corresponds to z=-1.28.

Then we have

z=(p-\pi)/\sigma\\\\p=\pi+z\sigma=0.328+(-1.28)*0.094=0.328-0.120=0.208

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The answer to this question is:

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Here's the order:
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(what i think)
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3 years ago
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