A 90% confidence interval for the mean age, in weeks, at which a baby first crawls was reported to be (32, 46). The margin of error for this confidence interval is

The margin of error for this confidence interval is of 7.

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.

The margin of error is the subtraction between these bounds, divided by 2.

In this question:

The bounds are 32 and 46.

(46 - 32)/2 = 14/2 = 7

The margin of error for this confidence interval is of 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 .