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Lady bird [3.3K]
2 years ago
9

Please help with this

Mathematics
1 answer:
Maslowich2 years ago
3 0
<h3>Explanation:</h3>

The note "SAS Congruence" under the middle box tells you this proof will be accomplished by showing two sides and the included angle are congruent. (That's what S A S refers to.)

One of the angles is shown in the upper left box as ∠TMI. The note under that box tells you the other angle is a vertical angle with ∠TMI. By referring to the diagram, you see that the vertical angle is ∠EMR.

The middle box on the left and the bottom box on the left share the note "M is a midpoint." This tells you the segments of interest are the congruent segments of which M is the midpoint. The <em>Given</em> information tells you M is the midpoint of ET and of RI. The middle left box is already filled with TM ≅ EM, so the bottom box needs to be filled with the letters of the other segments: RM ≅ IM.

The three congruence relationships on the left, involving an angle and two  sides either side of that angle mean that you can invoke the SAS Congruence theorem to say ΔTMI ≅ ΔEMR. Be sure to write the triangle names so that T corresponds to E, and I corresponds to R. This is the relation that goes in the middle box.

The right side box is the desired conclusion, the whole point of the proof: ∠T ≅ ∠E. The corresponding note is "CPCTC" (corresponding parts of congruent triangles are congruent).

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Step-by-step explanation:

For each individual chosen, there are only two possible outcomes. Either they have completed fourr years of college, or they have not. The probability of an adult completing four years of college is independent of any other adult. So the binomial probability distribution is used 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.

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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.

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And p is the probability of X happening.

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For a sample of 15 individuals, ages 25 and older, what is the probability that five will have completed four years of college?

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