You are taking a multiple-choice test that has 7 questions. each of the questions has 4 answer choices, with one correct answer per question. if you select one of these choices for each question and leave nothing blank, in how many ways can you answer the questions?

The total number of ways we can answer the questions is 78125.

Step-by-step explanation:

Given : You are taking a multiple-choice test that has 7 questions. Each of the questions has 4 answer choices, with one correct answer per question. If you select one of these choices for each question and leave nothing blank.

To find : How many ways can you answer the questions?

Solution :

Each question has 4 answer choices.

If you select one of these choices for each question and leave nothing blank.

i.e. For 1 question number of ways to attempt 1st question is 4 ways

For 2 question number of ways to attempt 2nd question is 4 ways

Similarly, for 7th question number of ways to attempt 7th question is 4 ways.

So, Number of ways we can answer the questions is

Therefore, The total number of ways we can answer the questions is 78125.

a. 32 degrees

step-by-step explanation:

here we have to use the rule.

m∠e = 1/2 (major arc - minor arc)

m∠e = 1/2 (212 - 148)

m∠e = 1/2 (64)

m∠e = 32 degrees

answer: a. 32 degrees

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