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Pre-Calculus-check answers

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How many ways can 5 students be chosen from a group of 4 juniors and 6 seniors to be on the prom committee if exactly 3 students must be seniors?

Answer: 5400

Find the probability of getting a sum of 5 on the first toss of two number cubes and a sum of 6 on the second toss.

Answer: 1/54

Solve e^sqrtx=4

Answer: x=1.92

Thanks

  • Pre-Calculus-check answers - ,

    1. the 3 seniors can be chosen i C(6,3) ways, which is 20
    that leaves 2 juniors to be choses from the 4 juniors, which is 6

    so the number of ways is 20x6 or 120 ways

    2. there are 4 ways to get a 5, (1,4),(2,3),(3,2), and (4,1)
    so prob of a 5 = 4/36 = 1/9
    similarly there are 5 ways to get a 6.
    so the prob of a 5 followed by a 6
    = 1/9 x 5/36 = 5/324

    3. correct

  • Pre-Calculus-check answers - ,

    75*32

  • Pre-Calculus-check answers - ,

    2300

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