The standard deviation for the lifetimes of lawn mowers is estimated to be 800 hours (for the entire population). We'd like to collect data and be 97% confident that our margin of error will not exceed 50 hours. What is the minimum sample size we would need to select, to achieve this

So the answer for this case would be n=1206 rounded up to the nearest integer

Step-by-step explanation:

We know the following info:

the standard deviation estimated7

The margin of error is given by this formula:

   (a)

And on this case we have that ME =50 and we are interested in order to find the value of n, if we solve n from equation (a) we got:

  (b)

The critical value for 97% of confidence interval and using a significance level of and , replacing into formula (5) we got:

So the answer for this case would be n=1206 rounded up to the nearest integer

is it 35

step-by-step explanation:

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 .