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PREP07 Test 2
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 The figure shown represents a board with four rows of pegs, and at the bottom of the board are four cells numbered 1 to 4. Whenever the ball shown passes through the opening between two adjacent pegs in the same row, it will hit the peg directly beneath the opening. The ball then has probability 1/2 of passing through the opening immediately to the left of that peg and probability 1/2 of passing through the opening immediately to the right. What is the probability that when the ball passes through the first two pegs at the top it will end up in cell 2 ?
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PREP07 Test 2
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An investor purchased 20 shares of a certain stock at a price of $45.75 per share. Later this investor purchased 30 more shares at a price of $46.25 per share. What was the average (arithmetic mean) price per share that this investor paid for the 50 shares?
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PREP07 Test 2
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What is the number of different committees of 4 people that can be selected from a group of 10 people?
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PREP07 Test 2
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 The table shows the numbers of greeting cards for various occasions sold at a certain store last year. According to the table, for which of the following occasions was the number of cards sold closest to 1/12 of the number of birthday cards sold?
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PREP07 Test 2
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 The table shows the number of calls received by each of five operators during each of 4 one-hour periods. For which operator was the standard deviation of the numbers of calls received during these 4 periods the least?
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PREP07 Test 2
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The arithmetic mean and standard deviation of a certain normal distribution are 13.5 and 1.5, respectively. What value is exactly 2 standard deviations less than the mean?
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PREP07 Test 2
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If a coin has an equal probability of landing heads up or tails up each time it is flipped, what is the probability that the coin will land heads up exactly twice in 3 consecutive flips?
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PREP07 Test 2
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To celebrate a colleague's retirement, the T coworkers in an office agreed to share equally the cost of a catered lunch. If the lunch costs a total of x dollars and S of the coworkers fail to pay their share, which of the following represents the additional amount, in dollars, that each of the remaining coworkers would have to contribute so that the cost of the lunch is completely paid?
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PREP07 Test 2
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 At the end of each year, a certain credit card company pays a bonus to each of its credit card holders based on the amount, up to $10,000, that the cardholder charged throughout the year. A 0.5 percent bonus is paid on the first $1,000 charged, a 1.0 percent bonus is paid on the next $2,000 charged and so on, as indicated in the table above. What is the maximum annual bonus, in dollars?
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PREP07 Test 2
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The cost of picture frame M is $10.00 less than 3 times the cost of picture frame N. If the cost of frame M is $50.00, what is the cost of frame N ?
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PREP07 Test 2
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S represents the sum of the weights of n fish in pounds. Which of the following represents the average (arithmetic mean) of the n weights in ounces? (1 pound = 16 ounces)
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PREP07 Test 2
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In a certain bathtub, both the cold-water and the hot-water fixtures leak. The cold-water leak alone would fill an empty bucket in c hours, and the hot-water leak alone would fill the same bucket in h hours, where c < h. If both fixtures began to leak at the same time into the empty bucket at their respective constant rates and consequently it took t hours to fill the bucket, which of the following must be true? I. $$0 \lt t \lt h$$ II. $$c\lt t\lt h$$ III.$$ \frac{c}{2}\lt t \lt \frac{h}{2}$$
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PREP07 Test 2
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If $$3^x - 3^{x - 1} = 162$$, then x(x - 1) =
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PREP07 Test 2
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The maximum temperatures, in degrees Fahrenheit, recorded in a city on 5 consecutive days were x + 3, 95, 87, x + 7, and x. If the average (arithmetic mean) of these temperatures was 90 degrees Fahrenheit, what is the value of x ?
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PREP07 Test 2
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There are 15 slate rocks, 20 pumice rocks, and 10 granite rocks randomly distributed in a certain field. If 2 rocks are to be chosen at random and without replacement, what is the probability that both rocks will be slate rocks?
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PREP07 Test 2
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If $$ab\neq0$$, then $$a^{-1} + b^{-1} =$$
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PREP07 Test 2
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{-10, -6, -5, -4, -2.5, -1, 0, 2.5, 4, 6, 7, 10} A number is to be selected at random from the set above. What is the probability that the number selected will be a solution of the equation (x - 5)(x + 10)(2x - 5) = 0 ?
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PREP07 Test 2
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How much did the taxi driver charge George for the trip to the airport? (1) George paid the taxi driver a tip equal to 15 percent of the amount the driver charged.(2) George paid the taxi driver a tip of $6.00.
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PREP07 Test 2
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A child selected a three-digit number, XYZ, where X, Y, and Z denote the digits of the number. If no two of the three digits were equal, what was the three-digit number? (1) The sum of the digits was 10. (2) X < Y < Z
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PREP07 Test 2
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If n and s are each 2-digit positive integers, is n greater than s ? (1) The units digit of n is greater than the units digit of s. (2) The tens digit of n is greater than the tens digit of s.
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