The number of wins in a season for 32 randomly selected professional football teams arelisted below. Construct a 90% confidence interval for the true mean number of wins in a season. Mean(x) = sum of 32 observations / 32 = 7.97

Standard deviation( sd )=2.62

Sample Size(n)=32

Confidence Interval = [ 7.97 ± Z a/2 ( 2.62/ Sqrt ( 32) ) ] = [ 7.97 - 1.64 * (0.4632) , 7.97 + 1.64 * (0.4632) ] = [ 7.2,8.7 . What are the steps used to solve this? How did they find their Standard Deviation? Also what does the Z stand for in the confidence interval?

the correct answer is 5 6 and 7

the length of o'p' is .

step-by-step explanation:

it is given that the quadrilateral m'n'o'p' is the image of quadrilateral mnop after dilation.

the center of dilation is origin and the scale factor is 1.5.

in dilation the image and preimge are similar figures. it means the sides of image and preimage are proportional.

the scale factor is defined as

the scale factor is 1.5.

multiply both sides by op.

note: if the value of op is given, then multiply the value of op with 1.5 to get the length of side o'p'.

therefore length of o'p' is .