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190113
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There are 50 balls in an opaque bag. The number of red balls, orange balls, yellow balls and green balls is 20, 20, 6, and 4, respectively. Two balls will be taken out randomly at one time from the bag. What's the approximate probability that the two balls are the same color?
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190302
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There are 50 balls in an opaque bag. The numbers of black balls, white balls, red balls and blue balls are 20, 20, 6, and 4, respectively. If two balls are randomly taken out, what is the probability that the two balls have the same color?
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OG19 OG20 OG2022
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While a family was away on vacation, they paid a neighborhood boy $11 per week to mow their lawn and $4 per day to feed and walk their dog. If the family was away for exactly 3 weeks ,how much did they pay the boy for his services ?
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OG17 OG18 OG19 OG20 OG2022
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On a vacation, Rose exchanged $500.00 for euros at an exchange rate of 0.80 euro per dollar and spent $$\frac{3}{4}$$ of the euros she received. If she exchanged the remaining euros for dollars at an exchange rate of $1.20 per euros, what was the dollar amount she received?
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OG19 OG20 OG2022
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From 2000 to 2003, the number of employees at a certain company increased by a factor of 1/4. From 2003 to 2006, the number of employees at this company decreased by a factor of 1/3. If there were 100 employees at the company in 2006, how many employees were there at the company in 2000?
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The results of a certain experiment included 6 data values that were all multiples of the same number c, namely, c, 8c, 2c, 5c, 4c, and 4c. Was the average (arithmetic mean) of the 6 data values greater than 8?(1)c ＜ 4(2)c ＞ 2
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If x is to be selected at random from set T,what is the probability that $$\frac{1}{4}{x}-{5}<{0}$$ ?(1)T is a set of 8 integers.(2)T is contained in the set of integers from 1 to 25, inclusive.
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PREP07 Test 1
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What is the number of members of Club X who are at least 35 years of age?(1)Exactly $$\frac3 4$$ of the members of Club x are under 35 years of age.(2)The 64 women in Club x constitute 40 percent of the club's membership.
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At a sale all books were priced equally and all magazines were priced equally. What was the price of 3 books and 4 magazines at the sale?(1)At the sale the price of a book was $1.45 more than the price of a magazine.(2)At the sale the price of 6 books and 8 magazines was $43.70.
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A jar contains 16 marbles, of which 4 are red, 3 are blue, and the rest are yellow. If 2 marbles are to be selected at random from the jar, one at a time without being replaced, what is the probability that the first marble selected will be red and the second marble selected will be blue?
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R, S, T, and U are points on a line, and U is the midpoint of line segment ST. If the lengths of line segments RS, RT, and ST are 20, 4, and 24, respectively. What is the length of line segment RU?
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M = {-6, -5, -4, -3, -2}T = {-2, -1, 0, 1, 2, 3}If an integer is to be randomly selected from set M above and an integer is to be randomly selected from set T above, what is the probability that the product of the two integers will be negative?
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A teacher gave the same test to three history classes: A, B, and C. The average (arithmetic mean) scores for the three classes were 65, 80, and 77, respectively. The ratio of the numbers of students in each class who took the test was 4 to 6 to 5, respectively. What was the average score for the three classes combined?
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If $$\frac{1}{2}$$ of the money in a certain trust fund was invested in stocks, $$\frac{1}{4}$$ in bonds, $$\frac{1}{5}$$ in a mutual fund, and the remaining $10,000 in a government certificate, what was the total amount of the trust fund?
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If I and k are lines in the xy-plane, is the product of the slopes of I and k equal to -1 ?(1)Line I passes through the origin and the point (1, 2).(2)Line k has x-intercept 4 and y-intercept 2.
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PREP07 Test 1
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In the finite sequence of positive integers $${K}_{1}$$, $${K}_{2}$$, $${K}_{3}$$....,$${K}_{9}$$each term after the second is the sum of the two terms immediately preceding it. If $${K}_{5}= 18$$, what is the value of $${K}_{9}$$?(1) $${K}_{4}={11}$$(2) $${K}_{6}={29}$$
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PREP07 Test 1
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At a certain restaurant, if each hamburger costs the same amount, what is the cost, excluding sales tax, of 1 hamburger?(1)The total cost, including a 6 percent sales tax, is $4.77 for 3 hamburgers.(2)The total cost, including a 6 percent sales tax, is less than $6.50 for 4 hamburgers.
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PREP07 Test 1
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The manager of a theater noted that for every 10 admission tickets sold, the theater sells 3 bags of popcorn at $2.25 each, 4 sodas at $1.50 each, and 2 candy bars at $1.00 each. To the nearest cent, what is the average (arithmetic mean) amount of these snack sales per ticket sold?
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PREP07 Test 1
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While working alone at their respective constant rates, computer X processes 240 files in 4 hours and computer Y processes240 files in 8 hours. If all files processed by these computers are the same size, how long would it take the two computers, working at the same time and at their respective constant rates, to process a total of 240 files?
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A certain circle in the xy-plane has its center at the origin. If P is a point on the circle, what is the sum of the squares of the coordinates of P?(1) The radius of the circle is 4.(2) The sum of the coordinates of P is 0.
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