Suppose that a manager is interested in estimating the average amount of money customers spend in her store. After sampling 36 transactions at random, she found that the average amount spent was $37.85. She then computed a 99% confidence interval to be between $32.89 and $ 42.81. Which statement gives a valid interpretation of the interval? a. The store manager is 99% confident that the average amount spent by all customers is between $32.89 and $42.81.
b. There is a 99% chance that the mean amount spent by all customers is between $32.89 and $42.81.
c. There is a 99% chance that a randomly selected customer will spend between $32.89 and $42.81.
d. The store manager is 99% confident that the average amount spent by the 36 sampled customers is between $32.89 and $ 42.81

something that characterises a right triangle is the fact that we may use pythagoras' theorem to find any one of its sides given that we have the length of the other two sides. here, we have the length of the hypotenuse, √(87) yd, and one other side, √(23) yd, thus we can easily find the length of the remaining side using pythagoras' theorem as defined below:

c^2 = a^2 + b^2, where c is the length of the hypotenuse, and a and b are the lengths of the other two sides.

thus, given that c = √(87) and a = √(23), we may substitute these into the formula we defined above to get:

c^2 = a^2 + b^2

(√87)^2 = (√23)^2 + b^2 (substitute c = √87 and a = √23 into the equation)

87 = 23 + b^2 (evaluate (√87)^2 = 87 and (√23)^2 = 23 - remember that the square root of a number, squared will equal that very same number)

64 = b^2 (subtract 23 from both sides)

√64 = b (take the square root of both sides)

8 = b (evaluate √64 = 8)

therefor, the length of the unknown leg in the right triangle is 8 yd (first answer).

the answer is a

step-by-step explanation:

30 people weigh 160 pounds or more

m

step-by-step explanation: