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Naddik [55]
3 years ago
6

Plz solve this question..Its urgent..​

Mathematics
1 answer:
BigorU [14]3 years ago
4 0

Step-by-step explanation:

In circle with centre O, TN is tangent at E.

\therefore OE \perp TN\\\\\therefore m\angle OET = m\angle OEN= 90\degree \\\\In\: \triangle OET\\\\\angle OET + \angle OTE +\angle TOE = 180°\\\\\therefore 90\degree + 35\degree+\angle TOE = 180°\\\\\therefore 125\degree+\angle TOE = 180\degree\\\\\therefore \angle TOE = 180\degree-125\degree\\\\\huge \red {\boxed{\therefore \angle TOE = 55\degree}} \\\\In\: \triangle OPE\\\\OP = OE... (radii\: of \:same \: circle) \\\\\therefore \angle OPE = \angle OEP..(1)\\  (\angle s \: opposite \: to \:equal\:sides) \\\\\angle TOE =\angle OPE +\angle OEP.. (2)\\(by\:exterior \:\angle\:theorem) \\\\\therefore 55\degree= \angle OPE +\angle OPE\\\{From\: equations\:(1) \&\:(2)\} \\\\\therefore 55\degree= 2\angle OPE \\\\\therefore \angle OPE = \frac{55\degree}{2}\\\\\huge \orange{\boxed{\therefore \angle OPE =27.5\degree}}

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Answer:

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Step-by-step explanation:

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3 years ago
In a recent survey, 60% of the community favored building a health center in their neighborhood. If 14 citizens are chosen, find
andreev551 [17]

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

         r = number of success = exactly 5

        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)

Now, Probability that exactly 5 of them favor the building of the health center is given by = P(X = 5)

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

                      = 2002 \times 0.60^{5} \times 0.40^{9}

                      = 0.0408

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

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Step-by-step explanation:

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3 years ago
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