The lifetime in miles for a certain brand of tire is normally distributed with a mean of 22,000 miles and a standard deviation of 3,100 miles the tire manufacturer wants to offer a money-back guarantee so that no more than 3% of tires will qualify for a refund. what is the minimum number of miles the manufacturer should guarantee that the tires will last?

16172

Step-by-step explanation:

We are given that The tire manufacturer wants to offer a money-back guarantee so that no more than 3% of tires will qualify for a refund.

So, P(X≤x)=0.03

Refer the z table

So, z corresponding to p value 0.03 is -1.88

So,

Hence the minimum number of miles the manufacturer should guarantee that the tires will last is 16172

the first one is x^2+2x+2

the second one is x^2+4

the last one is x^2-4x+8

so the possibilities of the measurement of the side of the triangle are either it is longest side or not the longest side

when it is the longest side

s < 25 + 35s < 60

if it is not the longest side

35 < 25 + s10 < sso 10 < s < 60so the perimeter70 < p < 130