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- Carl Catcher has a batting average of .370, meaning that he makes a hit 37% of the times he is up at bat. Pete Pitcher has a batting averager of only .110. Let x be the number of times Carol comes up to bat and let y be the number of times Pete comes to bat. a. If Carl bats 7 times and Pete bats 3 times, what should ther overall batting average be? b. If a total of 50 times at bat, how many times may Pete bat in order for their combined average to be as close as possible to .300? (define 3 variables, write system and solve)It asks for number of even outcomes. Is it: a. 3 b. 3/6 or 1/2Solve the problem. At the Jumping Jack cookie factory, quality assurance inspectors remove broken or otherwise defective cookies from a moving conveyor belt prior to packaging. Based on past studies, the plant manager knows that the inspectors eliminate 98% of the defective cookies at a conveyor belt speed of 9 feet per minute. As the belt speed increases, the factory can produce more cookies per hour, but at the cost of lower quality of the packaged product. Inspectors collect only 60% of defective cookies at a belt speed of 18 feet per minute. QA Inspector Efficiency Inspector efficiency, % defective cookies eliminated 100 90 60 |(9.98) 50- 10 11 12 13 14 15 Belt speed, feet per minute (18,60) 16 17 18 a. Find an equation of the line through the given points. Write the equation in slope-intercept form. Round the slope and y-intercept each to 1 decimal place. b. Use the equation from part (b) to predict the efficiency of the inspectors at a belt speed of 15 feet per minute. Round to…
- Lee walked 1000 steps Monday, 3000 steps Tuesday, 3000 steps Wednesday, and 1000 steps Thursday. What is Lee's average daily steps?In an experiment, college students were given either four quarters or a $1 bill and they could either keep the money or spend it on gum. The results are summarized in the table. Complete parts (a) through (c) below. Students Given Four Quarters Students Given a $1 Bill Purchased Gum 25 16 pivuuvilly | |- (Round to three decimal places as needed.) c. What do the preceding results suggest? Kept the Money D 12 30 LEED OA. A student given four quarters is more likely to have spent the money than a student given a $1 bill. B. A student given four quarters is more likely to have kept the money than a student given a $1 bill. C. A student given four quarters is more likely to have kept the money. OD. A student given four quarters is more likely to have spent the money.Given P(A) = 0.21, P(B) = 0.40, P(A or B) = 0.35, what is P(A and B)? Answer in decimal form. Round to 2 decimal places as needed. Your Answer:
- n: n(102) = 10 C8In a survey of consumers, approximately 43% said they would be willing to pay $1500 more for a new car if the car had an EPA rating of 83 miles per gallon. If your car currently gets 21 miles per gallon and you drive approximately 10,000 miles per year, in how many months would your savings on gasoline pay for the increased cost of such a car? Assume that the average cost of gasoline is $2.00 per gallon. Round to the nearest whole number.When rolling a number cube, labeled 1 through 6,P(4) is twice as likely to occur as P (2).
- Given P(A and B) = 0.22, P(B) = 0.51, P(B|A) = 0.51, what is P(A)? Answer in decimal form. Round to 3 decimal places as needed.3. 1,-6, 36,-216, .. a. = (-6)" geometric, a =-7776, a. %3D 1296, a, = (-6)"-1 , = (-6)"- b. geometric, a, n-1 С. arithmetic, a , =-7776, a %3D d. arithmetic, a, = 1296, a, = (-6)"