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4 years ago

27 2/3 - 4 1/2 Solve for me please!!

Mathematics

1 answer:

rewona [7]4 years ago

6 0

27 2/3 - 4 1/2

Make the fractions (2/3 and 1/2) have common denominators.

Multiply 2/3 by 2/2 and multiply 1/2 by 3/3.

2/3 * 2/2 = 4/6
1/2 * 3/3 = 3/6

Rewrite the expression with the fractions having common denominators.

27 4/6 - 4 3/6

Subtract the fractions; subtract numerators and keep the same denominators. Then subtract the whole numbers (27 - 4).

Your answer is:

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3 years ago

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3 years ago

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

marissa [1.9K]

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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4 years ago