What is the first big change that American drivers made due to higher gas prices? According to an Access America survey, 20% said that it was cutting recreational driving. However, 27% said that it was consolidating or reducing errands. If these figures are true for all American drivers, and if 20 such drivers are randomly sampled and asked what is the first big change they made due to higher gas prices? a. What is the probability that exactly 8 said that it was consolidating or reducing errands? * b. What is the probability that none of them said that it was cutting recreational driving? ** c. What is the probability that more than 7 said that it was cutting recreational driving?

a) The probability that exactly 8 said it was consolidating or reducing errands is 0.0815

b) The probability that none of them said it was cutting recreational driving is 0.0115

c) The probability that more than 7 said it was cutting recreational driving is 0.0321

Explanation:

The images attached show the step by step solution to solving the problem.

The problem is a binomial distribution problem with n = 20 and has different value for p.

5=812a+9+3

step 1: simplify both sides of the equation.

5=812a+9+3

5=(812a)+(9+3)(combine like terms)

5=812a+12

5=812a+12

step 2: flip the equation.

812a+12=5

step 3: subtract 12 from both sides.

812a+12−12=5−12

812a=−7

step 4: divide both sides by 812.

812a /812 = -7/812

a= -1/116

so the answer is

a=   -1/116

first, you divide the triangle in two, tô form a retangle triangle. after, using pythagoream theorem:

18^2 = 14^2 + (x/2)^2

(x^2/4) + 196 = 324

x^2/4 = 324 - 196

x^2/4 = 128

x^2 = 512

x = √512

x = √2^9

x = 16√2 cm

i hope i you.