Aclass in advanced physics is composed of 10 juniors, 30 seniors, and 10 graduate students. the final grades show that 3 of the juniors, 10 of the seniors, and 5 of the graduate students received an a for the course. if a student is chosen at random from this class and is found to have earned an a, what is the probability that he or she is a senior?

Solution: We are given:

Total students = 10 + 30 + 10 =50

Number of students who received A grade = 3 + 10 + 5 = 18

Number of senior student's who received A grade is = 10

Let A be the event that the student is senior and B be the event that he or she earned an A. Then,

Now the probability a student chosen at random from this class and is found to have earned an A, the probability that he or she is a senior is:

Square Root of 41 to the nearest tenth, means to calculate the square root of 41 where the answer should only have one number after the decimal point.

Here are step-by-step instructions for how to get the square root of 41 to the nearest tenth:

Step 1: Calculate

We calculate the square root of 41 to be:

√41 = 6.40312423743285

Step 2: Reduce

Reduce the tail of the answer above to two numbers after the decimal point:

6.40

Step 3: Round

Round 6.40 so you only have one digit after the decimal point to get the

6.4

To check that the answer is correct, use your calculator to confirm that 6.42 is about 41.

Step-by-step explanation: