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A mini license plate for a toy car must consist of a one digit odd number followed by two letters. Each letter must be a J or K. Repetition of letters is permitted. Use the counting principle to determine the number of points in the sample space.
Construct a tree diagram to represent this situation and submit it to the week 5, assignment 3 dropbox. List the sample space.
Determine the exact probability of creating a mini license plate with a 5. Give solution exactly in reduced fraction form.
The mean of 40 scores is -29. If each score had 5 added to it, and then divided by 4, what would the mean of these new scores be?
Find the gradient of the function and the maximum value of the directional derivative at the indicated point:
A mall has three department stores, JC Penney, Macy's, and Sears. A survey of 2,118 people exiting the mall found that 433 made a purchase at JC Penney, 412 made a purchase at Macy's, 638 made a purchase at Sears
Suppose you have 3 nickels, 2 dimes, and 6 quarters in your pocket. If you draw a coin randomly from your pocket, what is the probability that
Assume Gary is at rest at noon, then accelerates at a constant rate of 3 ft/sec^2. Find the parametrization of the motion in terms of t, seconds after noon. How long does it take to reach a height of 500 feet?
Finding the value of x such that the vertical distance is maximum - Determine the value of x for which d is maximum.
estimate the area under the graph of f(x) = cosx from x=0 to x = bi/2 using four approximating rectangles and right end point. Sketch the graph and the rectangles. Is your estimate an underestimate or an overestimate?
Alex is making a rectangular garden and wants a fence around it. He wants the length of the garden to be 3 feet longer than the width. 150 feet of fence is all he can afford. What is the greatest possible width he can have for his garden?
Calculating the probability from a given ball situation. Six red balls and four blue balls are placed on a container. The probability that the first ball drawn
Postal regulations specify that a parcel sent by parcel post may have a combined length and girth (distance around) of no more than 102 inches. If a rectangular package has a square end, find the maximum volume of this package.
ate the expression. where necessary, enter your answer as a fraction using the slash (/)as the fraction bar 6/11^2.
Water is pumped out of a holding tank at a rate of 5-5e-.09t liters/minute, where t is in minutes since the pump is started. If the holding tank contains 798 liter of water when the pump is started, how much water does it hold one hour later?
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