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1) The quarterly returns for a group of 69 mutual funds with a mean of 2.3% and a standard deviation of 5.9% can be modeled by a normal model. Based on the model N(0.023, 0.059), what are the cut off values for the:A) Highest 40% of these funds?B) Lowest 30%?C) Middle 60% ?D) Highest 70% 2) A certain tennis player makes a successful first serve 75% of the time. Assume that each serve is independent of the others. If she serves 5 times, A) All serves in?B) Exactly 4 serves in? C) At least 3 Serves in?
3) Two standardized tests, test A & test B, use very different scales. Assume that in one year the distribution of scores on test A can be modeled by N(700, 75) and scores on test B can be modeled by N(27, 5). If an applicant to a university has taken test A and scored 910 and another student has taken test B and scored 33, compare these students score using Z-values. Which one has a higher relative score?
4.) Susan and Kim are twin sisters. Susan starts investing $100 a month at age 25 and invests for 10 years 35 at 5% compounded monthly. Susan stops investing at age 35, and does not contribute any money for the next 30 years. Kim starts investi..
Create a probability tree showing all marginal, conditional, and joint probabilities.
The State Employees' Credit Union offers a 1-year certificate of deposit with an APR (or effective rate) of 5.5%. If interest is compounded quarterly, find the actual interest rate. Round to the nearest tenth of a percent.
A company was charged $40 to ship 150 pounds and $70 to ship 300 pounds. Use the ordered pairs (150,40) and (300,70) to find the average cost to ship per pound.
A ball is thrown vertically upward. After t seconds, its height h (in feet) is given by the function h(t)=88t-16t^2. What is the maximum height that the ball will reach?
For one particular grade of gravel, the ratio of the height of the cone to its radius is 3:2. The conveyor delivers 20 cubic feet per minute to the pile. How fast is the height of the pile increasing when its radius is 10 feet?
the number of widgets sells can be modeled by -5p+100 where p is the price of a widget. Revenue from sales is the product of the price and the number sold. What price will maximize the revenue? What is the maximum revenue?
Two forces of 476 newtons and 271 newtons act at a point. The resultant force is 558 newtons. Find the angle between the forces.
Cara needs $9000 in 11years. What amount can she deposit at the end of each quarter at 8% annual interest compounded quarterly so she will have her $9,000? Show Work
The width of a rectangular garden is 2 feet shorter than one-half its length. If the perimeter of the garden is 32 ft., what are the dimensions of the garden?
a.j.s wildlife emporium manufactures two unique bird-feeders deluxe and super duper that are manufactured and assembled
Write the equation in the slope-intercept form and then find the slope and y-intercept of the corresponding line. 5x-6y-12=0
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