The width of a rectangle is 2 meters less than its length, and the perimeter is 32 meters. find the length and width of the rectangle. the length is and the width is

The perimeter is equal to 2(width) + 2(length). let's call the width w and the length L.

so 32 = 2w + 2L
the width is given as 2 meters less than the length, so w = L - 2

32 = 2(L - 2) + 2L
32 = 2L - 4 + 2L
32 = 4L - 4
36 = 4L
9 = L

so our length is 9 meters.

w = L - 2
w = 9 - 2
w = 7

so our width is 7 meters.

The best estimate of the proportion of adults who say that the law goes easy on celebrities is 0.7435.

Step-by-step explanation:

Confidence interval concepts:

A confidence interval has two bounds, a lower bound and an upper bound.

A confidence interval is symmetric, which means that the point estimate used is the mid point between these two bounds, that is, the mean of the two bounds.

In this question:

CI is between 0.645 and 0.842. So the best estimate of the proportion is:

(0.645+0.842)/2 = 0.7435

The best estimate of the proportion of adults who say that the law goes easy on celebrities is 0.7435.