The amount people who pay for cell phone service varies quite a bit, but the mean monthly fee is $55 and the standard deviation is $22. The distribution is not Normal.
Many people pay about $30 for plans with 2GB data access and about $60 for 5GB of
data access, but some pay much more for unlimited data access. A sample survey is
designed to ask a simple random sample of 1,000 cell phone users how much they pay.
Let be the mean amount paid.
Part A: What are the mean and standard deviation of the sample distribution of x with line on top?
Show your work and justify your reasoning.
Part B: What is the shape of the sampling distribution of the mean of the sample? Justify your answer.
Part C: What is the probability that the average cell phone service paid by the sample
of cell phone users will exceed $56? Show your work.

me

step-by-step explanation:

- "runner b is moving at a slower rate."

- "the graphs shown are graphs of distance(km) against time(min).

the slopes of this graphs are are given by:

slope = (change in y)/(change in x)

= (change in distance)/(change in time)

this is the formula for finding the speed. so, the slope of these graphs represent the speed of the runner.

taking each division in the graph to represent 1 on both axis:

runner a ⇒ speed = (2-0)/(1-0)

= 2/1

= 2 km/min

runner b ⇒ speed = (3-0)/(3-0)

= 3/3

= 1 km/min

this shows that   runner b is moving at a slower rate."

d) by the cross product property, ab^2 = bc multiplied by ad

step-by-step explanation:

we are given

in the given triangle abc

angle a is 90° and segment ad is perpendicular to segment bc

we can see that

triangle(abc) and triangle(abd) are similar because they have common side and same angle (90 degree)

so, triangles(abc) and abd are similar

since, they are similar

so, the ratio of their sides must be equal

we get

now, we can cross multiply

and we get

so, this could be step to prove it