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 3 cracks per mile. Round your answers to four decimal places (e. g. 98.7654). (a) What is the probability that there are no cracks that require repair in 22 miles of highway

0.0025 = 0.25% probability that there are no cracks that require repair in 2 miles of highway.

Step-by-step explanation:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

In which

x is the number of sucesses

e = 2.71828 is the Euler number

is the mean in the given time interval.

Mean of 3 cracks per mile

In this problem, we are going to calculate a probability in 2 miles. This means that

(a) What is the probability that there are no cracks that require repair in 2 miles of highway

This is P(X = 0). So

0.0025 = 0.25% probability that there are no cracks that require repair in 2 miles of highway.

a. 74 degrees

step-by-step explanation:

because the lines through the side and the box in the corners shows that these are congruent triangles and since they are mirrored the 37 degrees is also mirrored so the answer is 37 * 2 which is 74.

dc=6 square root of 3 and ac is 12 square root 3

c and d

step-by-step explanation:

square root of 3/2 = 18/c

cross multiply to get 18*2=√3*c

36/√3 * √3/√3 = c

c= 36*√3/3

c=12√3