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BlackZzzverrR [31]
3 years ago
15

What is the measure of ZRSP in the diagram below?

Mathematics
1 answer:
Semmy [17]3 years ago
7 0

<em>Greetings from Brasil...</em>

We know that the sum of the internal angles of a triangle is 180....

Bringing to our problem:

Angle P + Angle R + Angle S = 180

43 + 79 + Angle S = 180

Angle S = 180 - 43 - 79

<h2>Angle S = 58</h2>
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A multiple-choice test contains 10 questions. There are four possible answers for each question. a) In how many ways can a stude
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Answer :

<h3>4^{10} <u> =1048576 ways </u> a student can answer the questions on the test if the student answers every question.</h3>

Step-by-step explanation:

Given that a multiple-choice test contains 10 questions and there are 4 possible answers for each question.

∴ Answers=4 options for each question.

<h3>To find how many ways  a student can answer the given questions on the test if the student answers every question :</h3>

Solving this by product rule

Product rule :

<u>If one event can occur in m ways and a second event occur in n ways, the number of ways of two events can occur in sequence is then m.n</u>

From the given the event of choosing the answer of each question having 4 options is given by

The 1st event of picking the answer of the 1st question=4 ,

2nd event of picking the answer of the 2nd question=4 ,

3rd event of picking the answer of the 3rd question=4

,....,

10th event of picking the answer of the 10th question=4.

It can be written as  by using the product rule

=4.4.4.4.4.4.4.4.4.4

=4^{10}

=1048576

<h3>∴ there are 1048576 ways a student can answer the questions on the test if the student answers every question.</h3>
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