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Nezavi [6.7K]
3 years ago
15

A side of the triangle below has been extended to form an exterior angle of 128°. Find the value of x.

Mathematics
1 answer:
denis23 [38]3 years ago
3 0

Answer:

x = 104

Step-by-step explanation:

The exterior angle is equal to the sum of the opposite interior angles

24+x = 128

Subtract 24 from each side

24+x-24 =128 -24

x =104

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In a recent survey, 60% of the community favored building a health center in their neighborhood. If 14 citizens are chosen, find
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Answer:

Probability that exactly 5 of them favor the building of the health center is 0.0408.

Step-by-step explanation:

We are given that in a recent survey, 60% of the community favored building a health center in their neighborhood.

Also, 14 citizens are chosen.

The above situation can be represented through Binomial distribution;

P(X=r) = \binom{n}{r}p^{r} (1-p)^{n-r} ; x = 0,1,2,3,.....

where, n = number of trials (samples) taken = 14 citizens

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        p = probability of success which in our question is % of the community

              favored building a health center in their neighborhood, i.e; 60%

<em>LET X = Number of citizens who favored building of the health center.</em>

So, it means X ~ Binom(n=14, p=0.60)

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        P(X = 5) = \binom{14}{5} \times 0.60^{5} \times (1-0.60)^{14-5}

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Therefore, Probability that exactly 5 of them favor the building of the health center is 0.0408.

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3 years ago
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