Alg II/Trig – Q4T1 – Flashcards
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Date
answer
4/21/16
question
In how many ways can 2 singers be selected from 5 who came to an audition?
answer
1.) 5 nCr 2 2.) 10 or 5!/2!3!=5x4x3x2x1/2x1x3x2x1=10
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Two urns contain white balls and yellow balls. 1st two white and 4 yellow. 2nd 6 white and 6 yellow
answer
2/6 x 6/12=12/72=1/6
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A yogurt shop offers 6 different flavors of frozen yogurt and 9 different toppings. How many choices are possible for a single serving of frozen yogurt with one topping?
answer
Counting principle so 6x9=54 choices
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In how many different orders can you line up 5 cards on a table?
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1.) 5p5 2.) 5x4x3x2x1=5!=120
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There are 7 students participating in spelling b. In how many ways can the students go 1st, 2nd, 3rd, 4th in the bee be chosen?
answer
1.) 7p4 2.) 7x6x5x4=840 ways
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A bag contains 9 red marbles, 5 white marbles, and 4 blue marbles. Find P(red or blue)
answer
1.) 9/18+4/18=13/18
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Find the outlier in the set (farthest)
answer
draw line graph and the order from least to greates (farthest one is outlier)
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Participants in a study of a new medication received either medication A or a placebo. Make a tree diagram of the results of the study. Then find P(placebo and improvement).
answer
Med 1, < .85 top to A & .15 on bottom to P, A<.67 on top to y &.33 to N, P<.47 N top and .53 to N bottom
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Of all those who participated in the study, 85% received medication A. Of those who received medication A, 67% reported an improvement. Of those who received the placebo, 53% reported no improvement
answer
P(placebo and improve so .15(.47)=0.0705=7.05%
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Susan keeps track Within how many standard devs. of the mean do all the values fall? 156, 156, 129, 68, 115, 164, 71, 62, 114, 156, 89, 154
answer
1.) Stat edit 2.) enter values 3.) Stat Calc 4.) Make graph 119.5 in middle and add or subtract 37.1 to spread out 5.) State how far out the values fall 2 standard deviations
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The average height of corn stalks in a field is 77 inches with a standard deviation of 1.5 inches. Sketch a normal curve labeling the horizontal axis at one, two, and three standard deviations from the mean
answer
Put 77 in middle & add 1.5 three times to the left & right (put -1sd and -2sd over each deviations on left and +1sd and +2sd on right)
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A poll shows that 82% of voters in a city favor an initiative to increase spending on public schools. If 10 voters are selected at random, what is the probability that exactly five of them will vote in favor of the initiative
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1.) 100-.82=.18 2.) 10-5=5 3.) 10c5(.82)^5(.18)^5 4.) =0.017 or 1.8%
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A survey of high school juniors found that 84% of students plan on attending college. If you pick three students at random, what is the probability that at least two plan on attending college? Round to the nearest percent.
answer
1.) P(2)=3c2(84)^2(.16)^1 2.)P(3)=3c3(84)^3(.16)^0 3.) add the two products for percentage ex. .93%
