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m_a_m_a [10]
3 years ago
12

A community swim team has 160 members. Seventy of the members are advanced swimmers. Forty-eight of the members are intermediate

swimmers. The remainder are novice swimmers. Fifty of the advanced swimmers practice four times a week. Thirty-eight of the intermediate swimmers practice four times a week. Twelve of the novice swimmers practice four times a week. Suppose one member of the swim team is chosen randomly.
(a) What is the probability that the member is a novice swimmer?


(b) What is the probability that the member practices four times a week?


(c) What is the probability that the member is an advanced swimmer and practices four times a week?


(d) What is the probability that a member is an advanced swimmer and an intermediate swimmer?


(e) Are being an advanced swimmer and an intermediate swimmer mutually exclusive?


(f) Why or why not? Explain.
Mathematics
1 answer:
telo118 [61]3 years ago
4 0
A) 42/160
B)100/160
C)50/160
D)0/160
E)yes
F) they are both distinguished groups established in the swim team
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to compare them, we should all bring to the same denominator.

the lcm (lowest common multiplier) is the that denominator.

let's use the approach of the prime factors :

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the lcm is the combination of the longest "streaks" of the prime factors.

so,

2×2×2×2×2 × 3 × 5 = 32×15 = 480

2/-3 = -2/3 = -320/480 (as 3×160 = 480)

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as

-384/480 < -320/480 < -315/480 < -300/480

we can say

-4/5 < -2/3 < -21/32 < -15/24

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