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FrozenT [24]
3 years ago
5

A line contains the points (8, 9) and (–12, –7). Using point-slope form, write the equation of the line that is parallel to the

given line and that passes through (–5, –15).
Mathematics
1 answer:
navik [9.2K]3 years ago
7 0
The lines have equal gradients;
m\frac{16}{20} = \frac{4}{5}

Equation of line 2;
y=mx+c
y=\frac{4}{5}x+c
-15=\frac{4}{5*(-5)}+c
c=-11
y=4/5x-11
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Assume that adults were randomly selected for a poll. They were asked if they "favor or oppose using federal tax dollars to fund
ser-zykov [4K]

<u>Testing the hypothesis</u>, it is found that since the <u>p-value of the test is 0.0042 < 0.01</u>, it can be concluded that the proportion of subjects who respond in favor is different of 0.5.

At the null hypothesis, it is tested if the <u>proportion is of 0.5</u>, that is:

H_0: p = 0.5

At the alternative hypothesis, it is tested if the <u>proportion is different of 0.5</u>, that is:

H_1: p \neq 0.5

The test statistic is given by:

z = \frac{\overline{p} - p}{\sqrt{\frac{p(1 - p)}{n}}}

In which:

  • \overline{p} is the sample proportion.
  • p is the value tested at the null hypothesis.
  • n is the sample size.

In this problem, the parameters are given by:

p = 0.5, n = 483 + 398 = 881, \overline{p} = \frac{483}{881} = 0.5482

The value of the test statistic is:

z = \frac{\overline{p} - p}{\sqrt{\frac{p(1 - p)}{n}}}

z = \frac{0.5482 - 0.5}{\sqrt{\frac{0.5(0.5)}{881}}}

z = 2.86

Since we have a <u>two-tailed test</u>(test if the proportion is different of a value), the p-value of the test is P(|z| > 2.86), which is 2 multiplied by the p-value of z = -2.86.

Looking at the z-table, z = -2.86 has a p-value of 0.0021.

2(0.0021) = 0.0042

Since the <u>p-value of the test is 0.0042 < 0.01</u>, it can be concluded that the proportion of subjects who respond in favor is different of 0.5.

A similar problem is given at brainly.com/question/24330815

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2 years ago
Three playing cards are placed in a row, from left to right. Each card is of a
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Answer:

hifgreeg33ctvtvunu

Step-by-step explanation:

highhb tug 5h6g6g5g5g

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3 years ago
What would you do to isolate the variable in the equation below, using only one
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Subtract 9 from both sides of the equation
8 0
3 years ago
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4 times[9-6 divided by three
djyliett [7]

Answer:

28

Step-by-step explanation:

9-6/3=9-2=7

4*7=28

5 0
3 years ago
3
Irina18 [472]

Answer:

I can't understand your question. what is the meaning of these 3, 4 ,16 in your question

3 0
3 years ago
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