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prisoha [69]
4 years ago
12

A line segment has endpoints at (2,10) and (10,2). What are the coordinates of the midpoint of the line segment?

Mathematics
1 answer:
IrinaVladis [17]4 years ago
8 0

Answer:

(6,6)

Step-by-step explanation:

The midpoint formula is (\frac{x_1+x_2}{2},\frac{y_1+y_2}{2} ). Substitute (2,10) and (10,2) into this formula and simplify.

(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2} ) \\(\frac{2+10}{2},\frac{10+2}{2} ) \\(\frac{12}{2},\frac{12}{2} ) \\(6,6)

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Answer:

28m + 24f

Step-by-step explanation:

4(7m + 6f)

28m + 24f (distributive property of equality)

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3 years ago
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Hello there is a solution : 

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3 years ago
1) If the alpha level is changed from α = .05 to α = .01, what happens to boundaries for the critical region?
Alexxandr [17]

Answer:

1) a. Move farther into the tails

2) a. Decreases

Step-by-step explanation:

Hello!

1)

Let's say for example that you are making a confidence interval for the mean, using the Z-distribution:

X[bar] ± Z_{1-\alpha /2} * \frac{Sigma}{\sqrt{n} }

Leaving all other terms constant, this are the Z-values for three different confidence levels:

90% Z_{0.95}= 1.648

95% Z_{0.975}= 1.965

99% Z_{0.995}= 2.586

Semiamplitude of the interval is

d= Z_{1-\alpha /2} * \frac{Sigma}{\sqrt{n} }

Then if you increase the confidence level, the value of Z increases and so does the semiamplitude and amplitude of the interval:

↑d= ↑Z_{1-\alpha /2} * \frac{Sigma}{\sqrt{n} }

They have a direct relationship.

So if you change α: 0.05 to α: 0.01, then the confidence level 1-α increases from 0.95 to 0.99, and the boundaries move farther into the tails.

2)

The significance level of a hypothesis test is the probability of committing a Type I error.

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I hope this helps!

5 0
3 years ago
How do I find the surface area of this triangular prism? please help me!!
Illusion [34]
Find the area of all the sides:
10 x 9 = 90
9 x 8 = 72
1/2 x 6 x 8 = 24
1/2 x 6 x 8 = 24
6 x 9 = 54

Add them up:
90 + 72 + 24 + 24 + 54 = 264 square metres
8 0
3 years ago
Read 2 more answers
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