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Slav-nsk [51]
3 years ago
14

The product of 2 numbers increased by 10

Mathematics
1 answer:
expeople1 [14]3 years ago
3 0

Answer:

(x·x) + 10 would be the expression.

x·x represent the 2 numbers being multiplied. Increased by 10, would be the + 10.

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Complete the following statement: f(3)=_____
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Using this equation, f(3) = 23.

In order to find the value of f(3), we need to take the f(x) equation and put 3 everywhere we see x. Then we follow the order of operations to solve. So, let's start with the original. 

f(x) = 2x^2 + 5sqrt(x - 2) 

Now place 3 in for each x. 

f(3) = 2(3)^2 + 5sqrt(3 - 2)

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f(3) = 2(9) + 5 sqrt(3 - 2)

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You want to go to graduate school, so you ask your math professor, Dr. Emmy Noether, for a letter of recommendation. You estimat
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Answer:

a

  P(G) =  0.69

b

  P(S | G) = 0.81

c

  P(M|G') =  0.26

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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3 years ago
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