A professor gives a test to a large class. The time limit for the test is 50 minutes, and the first student to finish is done in 35 minutes. The professor assumes that the random variable T for the time it takes a student to finish the test is uniformly distributed over [35, 50]. At what time T will 60% of the students be finished with the test?

at 44 minutes, 60% of the students will be finished with the test

Step-by-step explanation:

Given the data in the question;

we have a uniform  distribution between 35 and 50

so

50 - 35 = 15

now, we simply multiply 15 by 60%; 15 × 0.6 = 9

so after 9 minutes, 60% percent of the students are done

Hence, 9min + 35 min = 44 minutes

Therefore at 44 minutes, 60% of the students will be finished with the test

5x10⁸

Step-by-step explanation:

Cell = 200 cubic micrometers.

Te question is, how many 200 cubic micrometers are there in a cubic centimeter. 1st, we have to convert 200 cubic centimeter into cubic centimeter:

1cm = 1x10⁴micro, which is the same to:

1x10⁻⁴ cm = 1micro

Now, we have to cube both sides, to "equal the volumes"

(1x10⁻⁴cm)³ = (1micro)³

1x10⁻¹²cm = 1micro³

Multiple both sides by 200:

200 x 1x10⁻¹²cm = 1micro³ x 200

2x10⁻¹⁰cm³ = 200micro³

Finally, 1 cubic cm / 2x10⁻¹⁰cm³ = 5x10⁸