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prisoha [69]
3 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]3 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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2 years ago
Find the slope of the line that passes through (10, 3) and (1, 10).
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Answer:  -7/9

Step-by-step explanation:

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3 years ago
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According to the last census (2010), the mean number of people per household in the United States is LaTeX: \mu = 2.58 Assume a
Veseljchak [2.6K]

Answer:

P(2.50 < Xbar < 2.66) = 0.046

Step-by-step explanation:

We are given that Population Mean, \mu = 2.58 and Standard deviation, \sigma = 0.75

Also, a random sample (n) of 110 households is taken.

Let Xbar = sample mean household size

The z score probability distribution for sample mean is give by;

             Z = \frac{Xbar-\mu}{\frac{\sigma}{\sqrt{n} } } ~ N(0,1)

So, probability that the sample mean household size is between 2.50 and 2.66 people = P(2.50 < Xbar < 2.66)

P(2.50 < Xbar < 2.66) = P(Xbar < 2.66) - P(Xbar \leq 2.50)

P(Xbar < 2.66) = P( \frac{Xbar-\mu}{\frac{\sigma}{\sqrt{n} } } < \frac{2.66-2.78}{\frac{0.75}{\sqrt{110} } } ) = P(Z < -1.68) = 1 - P(Z  1.68)

                                                              = 1 - 0.95352 = 0.04648

P(Xbar \leq 2.50) = P( \frac{Xbar-\mu}{\frac{\sigma}{\sqrt{n} } } \leq \frac{2.50-2.78}{\frac{0.75}{\sqrt{110} } }  ) = P(Z \leq  -3.92) = 1 - P(Z < 3.92)

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Therefore, P(2.50 < Xbar < 2.66) = 0.04648 - 0.00004 = 0.046

7 0
3 years ago
An altitude is drawn from the vertex of an isosceles triangle, forming a right angle and two congruent triangles. As a result, t
Alenkinab [10]

Answer:

The triangle's perimeter is 61.77 inches.

Step-by-step explanation:

Since an altitude is drawn from the vertex of an isosceles triangle, forming a right angle and two congruent triangles, and as a result, the altitude cuts the base into two equal segments, and the length of the altitude is 26 inches, and the length of the base is 9 inches, to find the triangle's perimeter the following calculation must be performed:

Isosceles triangle = 2 equal sides

To obtain the value of the sides, the Pythagorean theorem must be applied on the right triangle formed with the altitude.

(9/2) ^ 2 + 26 ^ 2 = X ^ 2

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20.25 + 676 = X ^ 2

√ (20.25 + 676) = X

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26.38 = X

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52.77 + 9 = X

61.77 = X

Therefore, the triangle's perimeter is 61.77 inches.

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2 years ago
Footlocker buys sneakers for $60 each and marks up the price by 30% so they can make a profit. What is the selling price of the
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Answer:

now it would be $78

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