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Lelechka [254]
3 years ago
9

A school chorus has 60 sixth-grade students and 48 seventh-grade students. The music director wants to make groups of performers

with the same combination of sixth and seventh-grade students in each group. She wants to form as many groups as possible. What is the largest number of groups that could be formed?
Mathematics
1 answer:
san4es73 [151]3 years ago
3 0
60/48
Both can be reduced by 12 to 5/4
So you can have 12 groups with 5 6th graders and 4 7th graders
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Answer:

a

  P(G) =  0.69

b

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Step-by-step explanation:

From the question we are told the

   The probability of getting into getting into graduated school if you receive a strong recommendation is  P(G |S) = 0.80

   The probability of getting into getting into graduated school if you receive a moderately good recommendation is  P(G| M) =  0.60

   The probability of getting into getting into graduated school if you receive a weak recommendation is  P(G|W) =  0.05

   The probability of getting a strong recommendation is  P(S) =  0.7

     The  probability of receiving a moderately good recommendation is P(M) =  0.2

       The probability of receiving a weak recommendation is P(W) =  0.1

      Generally  the probability that you will get into a graduate program is mathematically represented as

     P(G) =  P(S) *  P(G|S) + P(M) *  P(G|M) + P(W) *  P(G|W)

=>   P(G) =  0.7 * 0.8 +  0.2 *  0.6 + 0.1 *  0.05

=>   P(G) =  0.69

Generally  given that you did receive an offer to attend a graduate program, what is the probability that you received a strong recommendation is mathematically represented as

      P( S|G) =  \frac{ P(S) *  P(G|S)}{ P(G)}

=>    P(S|G) =  \frac{ 0.7 * 0.8 }{0.69}

=>     P(S | G) = 0.81

Generally given that you didn't receive an offer to attend a graduate program  the probability that you received a moderately good recommendation is mathematically represented as

        P(M|G') =  \frac{ P(M) *  (1- P(G|M))}{(1 - P(G))}

         P(M| G') =  \frac{ 0.2 *  (1- 0.6)}{ (1 - 0.69)}

         P(M|G') =  0.26

 

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Kyle’s total sales for the month of January were $10,000, and his total earnings for that month were $1,350.
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<u>Let the fixed salary be x and the commission be y, then as per given, the earnings:</u>

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<u>Subtract the first equation from the second:</u>

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<u>Using the first equation:</u>

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