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Anastasy [175]
3 years ago
6

What is the measure of angle c

Mathematics
2 answers:
drek231 [11]3 years ago
8 0

Answer:

C. 70^{\circ}

Step-by-step explanation:

We have been given an image of a triangle and we re asked to find the measure of angle C.

Angle sum property of triangles states that all angles of a triangle add up-to 180 degrees, so we can set an equation as:

m\angle A+m\angle B+m\angle C=180^{\circ}

Upon substituting the given measure of angle A and B in our equation we will get,

70^{\circ}+40^{\circ}+m\angle C=180^{\circ}

110^{\circ}+m\angle C=180^{\circ}

110^{\circ}-110^{\circ}+m\angle C=180^{\circ}-110^{\circ}

m\angle C=70^{\circ}

Therefore, the measure of angle C is 70 degrees and option C is the correct choice.

NNADVOKAT [17]3 years ago
6 0
C is the correct answer because triangles always equal to 180 degrees

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47.52% probability that among 10 randomly observed individuals fewer than 3 do not cover their mouth

Step-by-step explanation:

For each individual, there are only two possible outcomes. Either they cover their mouth when sneezing, or they do not. The probability of an individual covering their mouth when sneezing is independent of other individuals. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which 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)!}

And p is the probability of X happening.

According to a study done by Otago University, the probability a randomly selected individual will not cover his or her mouth when sneezing is 0.267.

This means that p = 0.267

What is the probability that among 10 randomly observed individuals fewer than 3 do not cover their mouth

10 individuals, so n = 10.

P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2)

In which

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P(X = 1) = C_{10,1}.(0.267)^{1}.(0.733)^{9} = 0.1631

P(X = 2) = C_{10,2}.(0.267)^{2}.(0.733)^{8} = 0.2673

P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2) = 0.0448 + 0.1631 + 0.2673 = 0.4752

47.52% probability that among 10 randomly observed individuals fewer than 3 do not cover their mouth

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