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grin007 [14]
3 years ago
7

Find the midpoint of the line segment joining the points (5,6) and (-1,-6).

Mathematics
1 answer:
kumpel [21]3 years ago
8 0

Answer:

The midpoint is (2,0)

Step-by-step explanation:

To find the x coordinate of the midpoint, add the x coordinates of the endpoint and divide by 2

(5+-1)/2 =4/2 =2

To find the y coordinate of the midpoint, add the y coordinates of the endpoint and divide by 2

(6+-6)/2 =0/2 =0

The midpoint is (2,0)

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Answer:

7 hours and 30 mins.

Step-by-step explanation:

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3 years ago
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.
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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

3 0
3 years ago
Determine the solution set for 3x(x-2) = 0
geniusboy [140]
X= 0 or 2

When you simplify to x(x-2) = 0, you will easily see
7 0
3 years ago
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Step-by-step explanation:

To find the area you multiply the sides so it should be (x+4)(x+5) which is x^2+9x+20. Good luck!

6 0
3 years ago
Please anyone help
serg [7]
5.46 to 3 sig figs means the range is {5.455,5.465} and 17.74 means the range {17.735,17.745}.
p=q²/r has a maximum value when q=5.465 and r=17.735 and a minimum value when 5.455 and r=17.745.
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7 0
3 years ago
Read 2 more answers
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