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3 years ago

15

which of the following will always pass through a vertex of a triangle (pick three) 10 altitude 2) perpendicular bisector 3) mid

segment 4) angle bisector 5) median 6) inscribed circle

2 answers:

klio [65]3 years ago

5 0

Just finished the test and the write answers are :

1) A,D,E

2)A,B

3)B,E

4) D

5) A

6) C

7) A

8) B

9) part A is C

Part B is A

Score 100%

jeka57 [31]3 years ago

3 0

The answer to this is A,B,D hope this helps:)

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Step-by-step explanation:

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3 years ago

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3 years ago

Reduce to simplest form. <br> -7/12 +3/8

gayaneshka [121]

Answer:

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Step-by-step explanation:

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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

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

5 0

3 years ago