Bird’s data analyst wants to model the sample mean distance of scooter rides. They plan to take a random sample of 41 scooter rides and to record the distance traveled on each ride (distance before the rider "releases" the scooter and the charge is processed). They decide it is reasonable to assume that the distribution of distances is approximately normal, but they don’t know the variance of the distribution. In the sample, the mean is 0.54 mile and the standard deviation is 0.1 mile. A) What is the Population?1) Bernoulli. Xi, i = 1,...,n are i. i.d. Bernoulli random variables with success probability p.2) Normal. Xi, i = 1,...,n are i. i.d. N(u, o?) 3) General (arbitrary). Xi, i = 1,...,n are i. i.d. with E[Xi] = u and Var(xi) = o.2) What is the Sample Statistic? 1) X = sample mean.2) X = sample number of "successes".3) p = sample proportion.4) s2 = sample variance. 3) What Sampling Distribution should we use to compute the probabilities in the next two questions (and why)?4) If the population mean of the distribution of distances is 0.5, what is the probability that the sample mean will be 0.54 or larger?5) What is the exact probability that the sample mean will be within 1/2 (one half) of one sample standard deviation of the population mean?

the figures below are made out of circles, semicircles, quarter … find the area and the perimeter of each figure and give your answers as a completely simplified exact value in terms of π (no approximations). remember that we'll also have to cut whatever areas we get in half, since we're only dealing im pretty sure that is the right answer

step-by-step explanation:

answer are

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."

guess at question:

a vertical line intersects the graph of g(x,y) = 0 at two points. what conclusion follows about the function f(x) implicitly defined by g(x,f(x)) = 0?

the domain of f(x) cannot include the x coordinate of any such vertical line.

informally, f(x) is not a function, and

g(x,y)=0 cannot be solved for y uniquely.

the relation r = {(x,y) such that g(x,y) = 0} is a function if

for all (a,b) ∊ r and (c,d) ∊ r, a=c implies b=d.

step-by-step explanation: