Answer as a fraction. Do not include spaces in your answer.1.9x(1/4)

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

I think it is the 2nd one.

lutik1710 [3]

125 and 8 are perfect cubes.
125 = 5^3
8 = 2^3

125 - 8 = 5^3 - 2^3

3 0

3 years ago

What is an equation in point-slope form of the line that passes through (-7,1) and (-3, 9)

Inga [223]

Step-by-step explanation:

let eqn be y - y1 = m(x - x1)

m = (9 - 1)/(-3 - (-7))

m = 2

sub (-7, 1):

y - 1 = 2(x + 7)

therefore, the equation is y - 1 = 2(x + 7)

Topic: coordinate geometry

If you like to venture further, feel free to check out my insta (learntionary). I'll be constantly posting math tips and notes! Thanks!

6 0

3 years ago

Read 2 more answers

The vertex of a parabola is (3,2). A second point on the parabola is (1,5).which of the following points is also on the graph?

vekshin1

+ The vertex of a parabola is (3,2),
that means the parabola's equation is y=a(x-3)²+2
+ A second point on the parabola is (1,5) and we replace x=1 and y=5. We have:
5=a(1-3)²+2 , so we have 4a=5-2 or a=3/4
So the equation is y=3/4 (x-3)²+2

And by checking we have the point (5;5) is on the parabola
Have fun

8 0

3 years ago

What is 25/8 as a percent Show your work

SpyIntel [72]

First divided 25 and 8 and that well equal 3.124 so then multiply 3.124 and 100 that will equal 312.4%. Your answer will be 312.4%.

8 0

3 years ago