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WINSTONCH [101]
3 years ago
8

PLEASE HELP!!!! HELP HELP!

Mathematics
2 answers:
monitta3 years ago
5 0

Answer: D: Half turn about the origin

nikklg [1K]3 years ago
4 0
The answer should be D
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Vika [28.1K]

Answer:

base times height divided by 2 i think i remember

Step-by-step explanation:

Because it's a triangular prism and the base times height makes a rectangular prism, a triangle is half of a rectangle

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3 years ago
In Grafton, a rural area in Vermont, the distance (in meters) between telephone poles has a uniform distribution between 40 and
coldgirl [10]

Answer:

a) 60% probability that the distance is environment friendly.

b) The mean of the distances between the telephone poles is 52.5 meters.

c) The standard deviation of the distance between the telephone poles is 7.22 meters.

Step-by-step explanation:

An uniform probability is a case of probability in which each outcome is equally as likely.

For this situation, we have a lower limit of the distribution that we call a and an upper limit that we call b.

The probability that we find a value X lower than x is given by the following formula.

P(X \leq x) = \frac{x - a}{b-a}

Uniform distribution between 40 and 65 meters.

This means that a = 40, b = 65

a) Any distance between poles greater than 50 meters is considered to be environment friendly. What is the probability that the distance is environment friendly?

This is P(X > 50)

We have that

P(X \leq 50) + P(X > 50) = 1

So

P(X > 50) =  1 - P(X \leq 50)

P(X \leq 50) = \frac{50 - 40}{65 - 40} = 0.4

P(X > 50) =  1 - P(X \leq 50) = 1 - 0.4 = 0.6

60% probability that the distance is environment friendly.

b) Find the mean of the distances between the telephone poles

The mean of the uniform distribution is

M = \frac{a + b}{2}

So

M = \frac{a + b}{2} = \frac{40 + 65}{2} = 52.5

c) Find the standard deviation of the distance between the telephone poles.

The standard deviation of the uniform distribution is:

S = \sqrt{\frac{(b-a)^{2}}{12}}

So

S = \sqrt{\frac{(65-40)^{2}}{12}} = 7.22

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Order the numbers from greatest to least. 1.01 , 1.1001 , 1.101 , 1.0001
cluponka [151]
1.01
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1.0001
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3 years ago
Find the missing endpoint if S is the midpoint RT
Stolb23 [73]

Answer:

  10. T(-20, 9)

  11. R(-1, -9)

  12. D(-6, 5)

Step-by-step explanation:

The relationship between end points and the midpoint can be solved generically for one of the end points. That relation can be used for the different points in these problems.

__

<h3>generic solution</h3>

The coordinates of midpoint M is related to the coordinates of end points A and B by ...

  M = (A +B)/2

This can be solved for end point B, given end point A and midpoint M:

  2M = A +B

  2M -A = B

Then the generic equation for end point B given end point A and midpoint M is ...

  B = 2M -A

__

In each of the numbered problems, the midpoint and one end point are given. These can be matched with the variables in the above formula, so the solution is simply a matter of arithmetic. Beware all the minus signs.

<h3>10.</h3>

  T = 2R -S

  T = 2(-9, 4) -(2, -1) = (2(-9) -2, 2(4) +1)

  T = (-20, 9)

__

<h3>11.</h3>

  R = 2S -T

  R = 2(-4, -6) -(-7, -3) = (2(-4) +7, 2(-6) +3)

  R = (-1, -9)

__

<h3>12.</h3>

  B = (A +C)/2 = ((-9, -4) +(-1, 6))/2 = (-9 -1, -4 +6)/2 = (-10, 2)/2

  B = (-5, 1) . . . . the missing midpoint of AC

  D = 2B -E . . . . the missing end point of BD

  D = 2(-5, 1) -(-4, -3) = (2(-5) +4, 2(1) +3)) = (-10 +4, 2 +3)

  D = (-6, 5)

8 0
2 years ago
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