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OG17 On Saturday morning, Malachi will begin a camping vacation and he will return home at the end of the first day on which it rains. If on the first three days of the vacation the probability of rain on each day is 0.2, what is the probability that Malachi will return home at the end of the day on the following Monday?
John, Karen, and Luke collected cans of vegetables for a food drive. The number of cans that John collected was $$\frac{1}{2}$$ the number of cans that Karen collected and $$\frac{1}{3}$$ the number of cans that Luke collected. The number of cans that Luke collected was what fraction of the total number of cans that John, Karen, and Luke collected?
KMFPS When positive integer x is divided by 5, the remainder is 3; and when x is divided by 7, the remainder is 4. When positive integer y is divided by 5, the remainder is 3; and when y is divided by 7, the remainder is 4. If x>y, which of the following must be a factor of x - y?
The ratio of the number of women to the number of men to the number of children in a room is 5:2:7, respectively. What is the total number of people in the room?(1) The total number of women and children in the room is 12.(2) There are fewer than 4 men in the room.
GWD Seldom more than 40 feet wide and 12 feet deep, but it ran 363 miles across the rugged wilderness of upstate New York, the Erie Canal connected the Hudson River at Albany to the Great Lakes at Buffalo, providing the port of New York City with a direct water link to the heartland of the North American continent.
Among a group of 2,500 people, 35 percent invest in municipal bonds, 18 percent invest in oil stocks, and 7 percent invest in both municipal bonds and oil stocks. If 1 person is to be randomly selected from the 2,500 people, what is the probability that the person selected will be one who invests in municipal bonds but NOT in oil stocks?
PREP07 Test 2 Of the people who attended a workshop, 60 percent were teachers and some of the teachers were teachers of language arts. What percent of the people who attended the workshop were teachers of language arts?(1) 200 people attended the workshop.(2) 72 of the teachers who attended the workshop were not teachers of language arts.
PREP07 Test 1 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?
Although we manufacture one hundred types of mobile phones, we currently limit our stock to only the ten best-selling models. Our plan is to increase the number of mobile phones we sell by expanding our stock to contain the twelve most popular types.Which of the following, if true, points out a major weakness in the plan above?
An independent analyst asserts that the new Pokia digital camera for mobile phones is more precise, of higher quality and costs less than any of the popular competing models. As a result, Pokia will become the more desirable, low-priced alternative to currently existing models of digital cameras.Which of the following, if true, would most challenge the argument above?
Jack, Tom, Beth, and Ruth are each competing to paint one side of a square fence. The fastest, Jack, painted his side in 13 hours, the slowest, Tom, painted his side in 14 hours. Which of the following could NOT be the average of the times that each of the four competitors spent painting his or her side of the fence?
Thomas poured water into a pitcher that was already $$\frac{1}{4}$$ full of water. How many ounces of water did Thomas pour into the pitcher?(1) Thomas added enough water to fill the pitcher to $$\frac{7}{8}$$ of its capacity.(2) Before Thomas poured the water into the pitcher, the pitcher contained 2 ounces of water.
PREP07 Test 1 Three grades of milk are 1 percent, 2 percent, and 3 percent fat by volume. If x gallons of the 1 percent grade, y gallons of the 2 percent grade, and z gallons of the 3 percent grade are mixed to give x + y + z gallons of a 1.5 percent grade, what is x in terms of y and z ?
Manhattan Two years ago, Sam put $1,000 into a savings account. At the end of the first year, his account had accrued $100 in interest bringing his total balance to $1,100. The next year, his account balance increased by 10%. At the end of the two years, by what percent has Sam's account balance increased from his initial deposit of $1,000?
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Although Kathryn Bigelow directed a number of commercials, short films, and television shows during the 1990s, her eighth feature film, The Hurt Locker, which was released in 2009, brought her the greatest accolades in that it won both the Academy Awards for Best Director and Best Picture.
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The human eye is a relatively recent development of nature—it evolved from the eyes of earlier primates, which had in turn evolved over many generations from the primitive eyes of the pre-mammalian synapsids, which had themselves previously evolved from the simple photoreceptors of our common single-celled ancestors.
191020 A survey of 100 people watching TV programs (sports, news and others) shows that 60 people watch sports programs, 35 people watch news programs, 50 people watch other programs, 10 people watch all programs, 5 people watch neither, 4 people watch sports programs and news programs only, 10 people watch news programs and other programs only. How many people watch other programs only?
OG12 OG15 OG16 OG17 GWD OG18 Unlike the conviction held by many of her colleagues that genes were relatively simple and static, Barbara McClintock adhered to her own more complicated ideas about how genes might operate, and in 1983, at the age of 81, was awarded a Nobel Prize for her discovery that the genes in corn are capable of moving from one chromosomal site to another.
排列组合 If 2 different representatives are to be selected at random from a group of 10 employees and if p is the probability that both representatives selected will be women, is $$p >\frac1 2$$ ?(1)More than $$\frac1 2$$ of the 10 employees are women.(2)The probability that both representatives selected will be men is less than $$\frac1 {10}$$.
$10,000 is deposited in a certain account that pays r percent annual interest compounded annually, the amount D(t), in dollars, that the deposit will grow to in t years is given by $${D}({t})=10,000[1+(\frac r {100})]^{t}$$. What amount will the deposit grow to in 3 years?(1)$$D(1)=11,000$$(2)$$r =10$$