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Ugo [173]
3 years ago
7

I need to know what is 88/252 evaluated

Mathematics
1 answer:
Misha Larkins [42]3 years ago
8 0

\bf \cfrac{88}{252}~~
\begin{cases}
88=2\cdot 2\cdot 2\cdot 11\\[0.8em]
252=2\cdot 2\cdot 3\cdot 3\cdot 7
\end{cases}\implies \cfrac{\underline{2\cdot 2}\cdot 2\cdot 11}{\underline{2\cdot 2}\cdot 3\cdot 3\cdot 7}\implies \cfrac{2\cdot 11}{3\cdot 3\cdot 7}\implies \cfrac{22}{63}

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If m∠NOP = 24° and m∠NOQ = 110°, what is m∠POQ?
monitta

Correct answer for the above question is - option B. 86°

<u>Step-by-step explanation:</u>

Given:

∠NOP = 24°

∠NOQ = 110°

∠NOP and ∠POQ are adjacent angles

To Find:

∠POQ = ?

Solution:

Hereby, we can say that ∠POQ lies between line OQ and ON as given (∠NOP and ∠POQ are adjacent angles )

∠NOQ - ∠NOP = ∠POQ

∠POQ = 110° - 24°

<u>∠POQ = 86°</u>

Angle POQ is  86°

Thus we can conclude option B as correct answer.

3 0
3 years ago
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anyanavicka [17]

Answer:

0.055 = 5.5% probability that exactly 5 employees were over 50.

Step-by-step explanation:

The employees are removed from the sample without replacement, which means that the hypergeometric distribution is used to solve this question.

Hypergeometric distribution:

The probability of x successes is given by the following formula:

P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}

In which:

x is the number of successes.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

Combinations formula:

C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

In this question:

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10 dismissed, which means that n = 10

What is the probability that exactly 5 employees were over 50?

This is P(X = 5). So

P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}

P(X = 5) = h(5,25,10,7) = \frac{C_{7,5}*C_{18,5}}{C_{25,10}} = 0.055

0.055 = 5.5% probability that exactly 5 employees were over 50.

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