The number of cracks in a section of interstate highway that are significant enough to require repair is assumed to follow a Poisson distribution with a mean of two cracks per mile.

What is the probability that there are no cracks that require repair in 5 miles of highway?

4.54 x 10⁻⁵

Step-by-step explanation:

If there is a mean of two cracks per mile, there is a n average of 10 cracks in five miles.

The probability mass function of a Poisson distribution is:

λ = 10 cracks in five miles

For x = 0 cracks, the probability is:

The probability is 4.54 x 10⁻⁵.

b.an increase in a causes b to decrease

1. x> -5

2. x< 8

step-by-step explanation:

1. 2x> -10

divide by 2 from both sides of equation.

2x/2> -10/2

simplify, to find the answer.

-10/2=-5

x> -5 is the correct answer.

2. 3x< 24

divide by 3 from both sides of equation.

3x/3< 24/3

simplify, to find the answer.

24/3=8

x< 8 is the correct answer.

i hope this you, and have a wonderful day!