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musickatia [10]
2 years ago
15

8fsquare + 4f - 60 its an math equation can anyone plz gimme the answer

Mathematics
1 answer:
hammer [34]2 years ago
6 0

Answer:

f = -3 , 5/2

Step-by-step explanation:

8f² + 4f - 60 = 0

Divide the entire equation by 4

2f² + f  - 15 = 0

Product = -30

Sum = 1

Factors = -5 , 6      {(-5)*6 = -30  and -5 +6 = 1}

2f² + f -15 = 0        {Rewrite the middle term using the factors}

2f² + 6f - 5f -15 = 0

2f(f + 3) - 5(f + 3) = 0

(f +3) (2f - 5) = 0

f +3  = 0    ; 2f -5 = 0

f = -3         ; 2f = 5

                    f = 5/2

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Complete Question

Find the​ mean, variance, and standard deviation of the binomial distribution with the given values of n and p. ​, The​ mean, ​, is nothing. ​(Round to the nearest tenth as​ needed.)

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Answer:

The mean   \mu  = 10.5

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The  variance   var  = 4.32

Step-by-step explanation:

From the question we are told that

      The probability of success   is  p = 0.6

      The  sample size is n = 18

  Generally given that the distribution is binomial, then the probability of failure is mathematically represented as

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              q =0.4

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             \mu  =  np

substituting values

             \mu  =  18 * 0.6    

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The  standard deviation is evaluated as

              \sigma =  \sqrt{npq}

substituting values

               \sigma =  \sqrt{18 *  0.6 * 0.4}

              \sigma =  2.08

The variance is evaluated as

               var  =  \sigma^2

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