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Alexxandr [17]
2 years ago
9

A baseball player has a batting average of 0.235. What is the probability that he has exactly 2 hits in his next 7

Mathematics
1 answer:
Ksivusya [100]2 years ago
8 0

Probabilities are used to determine the chances of an event.

<em>The probability that he hits exactly 2 in the next 7 bats is 0.3039</em>

The given parameters are:

\mathbf{p = 0.235} --- probability that he hits a bat

The question is an illustration of binomial probability, and it is represented as:

\mathbf{Pr = ^nC_xp^x(1 - p)^{n -x}}

In this case:

\mathbf{n = 7}<em> --- number of bats</em>

\mathbf{x = 2}<em> --- number of hits</em>

So, we have:

\mathbf{Pr = ^nC_xp^xq^{n -x}}

\mathbf{Pr = ^7C_2 \times (0.235)^2 \times (1 - 0.235)^{7 -2}}

\mathbf{Pr = 21 \times (0.235)^2 \times (0.765)^5}

\mathbf{Pr = 0.3039}

Hence, the probability that he hits exactly 2 in the next 7 bats is 0.3039

Read more about probabilities at:

brainly.com/question/11234923

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A parallelogram in which adjacent sides are perpendicular to each other is called a rectangle. The value of x or the length of TU is 22.5.

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That parallelogram in which adjacent sides are perpendicular to each other is called a rectangle. A rectangle is always a parallelogram and a quadrilateral but the reverse statement may or may not be true.

Since all the rectangles are similar, therefore, the corresponding sides of the rectangle will be in ratio. Therefore,

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\dfrac{\text{Width of STUV}}{\text{Width of MNOP}} = \dfrac{\text{Length of STUV}}{\text{Length of MNOP}}\\\\\\\dfrac{\text{Width of STUV}}{\text{Width of MNOP}} = \dfrac{9}{6}\\\\\\\dfrac{x}{15}=\dfrac96\\\\\\x = \dfrac{9 \times 15}{6} = 22.5

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