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The measure of angle ∠EGF is 65°. And the measure of the angle ∠CGE is 115°.
<h3>What is the triangle?</h3>A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees.
Triangle GEF is shown with its exterior angles.
Line GF extends through point B.
Line FE extends through point A.
Line EG extends through point C.
Angles ∠FEG and ∠EGF are congruent.
∠FEG = ∠EGF = x
Sides EF and GF are congruent.
Angle ∠EFG is 50° degrees.
∠EFG + ∠FGE + ∠GEF = 180°
50° + x + x = 180°
2x = 130°
x = 65°
∠FEG = ∠EGF = 65°
Then angle ∠CGF will be
∠CGF + ∠FGE = 180°
∠CGF + 65° = 180°
∠CGF = 115°
More about the triangle link is given below.
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Using the binomial distribution, it is found that there is a 38% probability that exactly 18 of them say job applicants should follow up within two weeks.
<h3>How to find that a given condition can be modelled by binomial distribution?</h3>Binomial distributions consists of n independent Bernoulli trials.
Bernoulli trials are those trials that end up randomly either on success (with probability p) or on failures( with probability 1- p = q (say))
The probability that out of n trials, there'd be x successes is given by
Binomial probability distribution
The parameters are:
n is the number of trials.
x is the number of successes.
p is the probability of success on a single trial.
In this problem:
62% say job applicants should follow up within two weeks, p = 0.62
25 managers are selected, n = 25
The probability that exactly 18 of them say job applicants should follow up within two weeks is P ( X = 18)
P( X > 18) = 1 - ( X = 18)
= 1 - 0.62
= 0.38
38 % probability that exactly 18 of them say job applicants should follow up within two weeks.
Learn more about binomial distribution here:
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