(1) A student writes a five question multiple-choice quiz. Each question has four possible responses. The student guesses at random for each question. Find the probability that the student has only one correct answer. A. 0.40 B. 0.53 C. 0.25 D. 0.20

(D) 0.20

Step-by-step explanation:

There are 5 questions in the quiz.

Each question has 4 options to pick from

The student guesses at random for each (and every) question.

Find the probability that the student has only 1 correct answer.

- Focusing less on the "4" options and more on the "5" questions in the quiz, the probability that the student has only 1 correct answer out of 5 is

1/5 = 0.20

395.84

step-by-step explanation:

2πrh+2πr²

2 (pie)(radius)(height)+2(pie)(radius)^2

step-by-step explanation:

12: 00 p.m. to 7: 00 p.m. is a total of 7 hours.

4: 00 p.m. to 7: 00 p.m. is a total of 3 hours.

this means that from 4: 00 p.m to 7: 00 p.m. this represents 3/7 of what was lost from 12: 00 p.m. to 7: 00 p.m.

after knowing this, after doing 11,600 - 6,800 = 4,800

4,800 represents 3/7 of what was lost for 7 hours.

we then divide 4,800 by 3 which gets 1,600.

because we know that 1,600 represents 1/7 of how much water was lost, we just have to multiply by 7, which gets 11,200.   after adding 11,200 to how much water was left at 7: 00 p.m. which was 6,800. 11,200 + 6,800 = 18,000

this means that the pool originally had 18,000 gallons in the pool.

you can also check your work by doing 18,000 - 4(1600), which becomes           1800 - 6400 which gets you 11,600.