On an eight question true-false quiz, a student guesses each answer. What is the probability that he/she gets at least one of the answers correct?

Step-by-step explanation:

Given

Required

Probability that s/he gets at least one correctly

First, we calculate the probability of answering a question correctly

Since, there are just 2 choices (true or false), the probability is:

Similarly, the probability of answering a question, wrongly is:

The following relationship exists, in probability:

So, to calculate the required probability.

First, we calculate the probability that he answers none of the 8 questions correctly.

Substitute in

Take LCM

Hence, the probability that s/he gets at least one correctly is 0.9961

we know that

applying the law of sines

°

so

∠j=18°

∠k=29°

∠l=180-(18+29)=133°

the answer part a) is

the measure of angle k is  ≈29°

part b)  the measure of angle k could also be

(180-29)=151°

so

∠j=18°

∠k=151°

∠l=180-(18+151)=11°

the answer part b) is

the measure of angle k could also be 151°

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step-by-step explanation: