The histogram shows the distribution of hurricanes that have hit a country from 1851 through 2015, where 1 is the weakest level and 5 is the strongest level. 1= 0.411

2=0.278

3=0.221

4=0.080

5=0.010

(a) Find the mean, variance and standard deviation of the probability distribution.

(b) Interpret the results: A, B, C or D.

A. The average hurricane is aprox. category 1.

B. The average hurricane is aprox. category 2.*

C. Most of the hurricane sizes differ from the average by about 2 or 3.

D. Most of the hurricane sized differ from the average by about 1 or 2.*

Pentagon abcde is dilated according to the rule do,3(x,y) to create the image pentagon a'b'c'd'e', which is shown on the graph. what are the coordinates of point a of the pre-image? a) (-1, 1)b) (-1, 2)c) (-9, 6)d) (-9, 18)

Question 2 of 102 pointsthe temperature is 45°f. the temperature will decrease by 2°f each hour. leth be the number of hours.when will the temperature be below 32°f? write an inequality for this problem.oa. 45 + 2h 32b. 45 + 2h< 32o c. 45 - 2h< 32od. 45 - 2hs 32

Amanufacturing firm has been averaging 16.8 orders per week for several years. however, during a recession, orders appeared to slow. suppose the firm’s production manager randomly samples 31 weeks and finds an average of 15.6 orders with a standard deviation of 2.3 orders. using a 0.025 significance level, test whether the mean number of orders has decreased. type the full 5 step procedure into the answer box, then for multiple choice practice, answer the following: 1. what is the name and symbol of the parameter that you are testing? 2. what is the symbol and value of the point estimate of that parameter? 3. what distribution are you using to test this parameter? 4. what is the critical value? 5. what is the test statistic value? 6. what is the p-value?