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ser-zykov [4K]
3 years ago
7

The sum of 4 times the number x and 26 is 130.

Mathematics
1 answer:
Lesechka [4]3 years ago
6 0

Answer:

A. Correct choice is C

B. Correct choice is B

Step-by-step explanation:

4 times the number x is 4x.

The sum of 4 times the number x and 26 is 4x+26.

The sum of 4 times the number x and 26 is 130, then

4x+26=130.

Correct option is option C.

Solve this equation:

4x=130-26,

4x=104,

x=26.

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A baseball player has a batting average of 0.25. What is the probability that he has exactly 2 hits in his next 7 at bats
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Answer:

The probability that he has exactly 2 hits in his next 7 at-bats is 0.3115.

Step-by-step explanation:

We are given that a baseball player has a batting average of 0.25 and we have to find the probability that he has exactly 2 hits in his next 7 at-bats.

Let X = <u><em>Number of hits made by a baseball player</em></u>

The above situation can be represented through binomial distribution;

P(X = r) = \binom{n}{r}\times p^{r} \times (1-p)^{n-r}; x = 0,1,2,......

where, n = number of trials (samples) taken = 7 at-bats

            r = number of success = exactly 2 hits

            p = probability of success which in our question is batting average

                   of a baseball player, i.e; p = 0.25

SO, X ~ Binom(n = 7, p = 0.25)

Now, the probability that he has exactly 2 hits in his next 7 at-bats is given by = P(X = 2)

          P(X = 2) =  \binom{7}{2}\times 0.25^{2} \times (1-0.25)^{7-2}

                        =  21 \times 0.25^{2} \times 0.75^{5}

                        =  <u>0.3115</u>

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Answer:

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Step-by-step explanation:

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