Let f(x) be the probability density function for the lifetime of a manufacturer's highest quality car tire, where x is measured in miles. explain the meaning of each integral. (a) 50,000 f(x) dx 20,000

P(20000<x<50000)

Step-by-step explanation:

Given that f(x) is a probability density function for the lifetime of a manufacturer's highest quality car tire, where x is measured in miles.

We have to explain the meaning of integral

20000 to 50000 f(x) dx

=

where F is the cumulative function.

Hence the integral is the probability that x lies between 20000 and 50000

Hence the integral is nothing but

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 .

2/3x + 7 = 29

step-by-step explanation:

two thirds = 2/3

plus a number = x

at least 29 = 29

there for you should get 2/3x + 7 = 29