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tensa zangetsu [6.8K]
3 years ago
11

If f(x + 2) = 6x2 + 5x − 8. Find f(6).

Mathematics
1 answer:
Blababa [14]3 years ago
6 0

Answer:

  108

Step-by-step explanation:

We can rewrite f(x+2) to make it easier to evaluate:

  f(x+2) = (6x +5)x -8

Since we want f(6), we want x+2 = 6, or x=4.

  f(6) = (6·4 +5)·4 -8 = 29·4 -8

  f(6) = 108

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A company is bidding on two projects, A and B. The probability that the company wins project A is 0.40 and the probability that
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Answer:

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Step-by-step explanation:

We are given that a company is bidding on two projects, A and B. The probability that the company wins project A is 0.40 and the probability that the company wins project B is 0.25.

Also, Winning project A and winning project B are independent events.

Let the Probability of winning project A = P(A) = 0.40

            Probability of winning project B = P(B) = 0.25

<u>Now, as we know that ;</u>

Probability that the company wins project A or project B = P(A \bigcup B)

              P(A \bigcup B) = P(A) + P(B) -  P(A \bigcap B)

So, we have to find the value of Probability of winning project A and B, i.e;

P(A \bigcap B)

<em>Since, we are given that Winning project A and winning project B are independent events which means when this condition is given then;</em>

                    P(A \bigcap B) = P(A) \times P(B)

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Now, Probability that the company wins project A or project B is given by;

                 P(A \bigcup B) = P(A) + P(B) -  P(A \bigcap B)  

                                  = 0.40 + 0.25 - 0.10

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Hence, probability that the company wins project A or project B is 0.50.

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3 years ago
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