Show work please

\f. Question 18 v [31 pt C9 2hr52mins X The scatter plot shows the sizes and annual rents of some office spaces in the downtown area ofa city. " SIZE AND ANNUAL RENT OF OFFICE SPACE 140,000 105,000 70,000 Rent (dollars) 35,000 0 500 1,000 1,500 2,000 2,500 3,000 3,500 4,000 Office Space (square feet) What would the line of best fit reveal about these data? Q There is a weak positive relationship between the cost of rent and the size of the office space. 0 There is a strong positive relationship between the cost of rent and the size of the office space. 0 There is a weak negative relationship between the cost of rent and the size of the office space. Q There is a strong negative relationship between the cost of rent and the size of the office space. > Next Question 0 Question 13 v E4 pts '01 6) Details Assume that a procedure yields a binomial distribution with n : 1395 trials and the probability of success for one trial is p : 0.31. Find the mean for this binomial distribution. (Round answer to one decimal place.) H: Find the standard deviation for this distribution. (Round answer to two decimal places.) 0': Use the range rule of thumb to nd the minimum usual value uZo and the maximum usual value u+20. Enter answer as an interval using square-brackets only with Whole numbers. > Next Question 0 Question 14 v [42 pts '01 6) Details Assume that a procedure yields a binomial distribution with a trial repeated n : 11 times. Use either the binomial probability formula to find the probability of k : 1 successes given the probabilityp : 16 % of success on a single trial. (Report answer accurate to 4 decimal places.) P(X: k) : > Next Question 0 Question 15 v E 2 pts '01 6) Details A quick survey of peanut butter prices had standard deviation and mean of $0.26 and $3.68, respectively. Compute the area for a peanut butterjar costing less than $3.50. > Next Question 0 Question 11 v E 2 pts '01 (9 Details About 3% of the population has a particular genetic mutation. 600 people are randomly selected. Find the mean for the number of people with the genetic mutation in such groups of 600. S > Next Question Age 1n Days C9 2hrsZminS X An Equine Scientist was interested in horse height (measured to the horse wither in cm) as a young horse aged from 200 to 800 days. She collected the data in the graph above from records on horses she had worked with in the past (shown by the blue dots) and t a linear regression equation (shown by the red line). According the regression equation, as the age of the horse increases in days, the wither height in cm Select an answer o . The age of the horse in days and the wither height in cm are Select an answer C . The slope ofthe regression equation is approximately 0.051. Interpret the slope by completing the sentence below. As the Select an answer 0 increases by 1, the Selectan answer 3 increases by The regression equation approximates the wither height by the following formula, Let d = age in days Let W = wither height in cm W : 0.051 - d + 121.386. Use this equation to approximate the wither height of a horse that is 585 days old by completing the sentence below. The regression equation estimates that a horse that is 585 days old will have a wither height of[:] cm > Next Question 0 Question 16 v E3 pts '01 6) Details Suppose that a brand of lightbulb lasts on average 1975 hours with a standard deviation of 187 hours. Assume the life of the lightbulb is normally distributed. Calculate the probability that a particular bulb will last from 1734 to 2379 hours? P(1734 Next Question 0 Question 12 v lZZ pts '01 6) Details About 8% of the population has a particular genetic mutation. 300 people are randomly selected. Find the standard deviation for the number of people with the genetic mutation in such groups of 300. Round your answer to three decimal places S > Next Question 'Questionig v"' M6pts"""' .. 2hr52mins>