Suppose that 50% of first year college students take a mathematics course, 40% take a biology course, and 20% take both mathematics and biology during the first year. What percent of first year college students take either mathematics or biology or both?

70%

Step-by-step explanation:

Universal set = set of all first year students

P(U) = 1

P(M) = 0.5

P(B) = 0.4

P(M n B) = 0.2

The percent of first year college students take either mathematics or biology or both

P(M U B) = ?

P(M u B) = P(M n B') + P(M' n B) + P(M n B)

P(M n B') = P(M) - P(M n B) = 0.5 - 0.2 = 0.3

P(M' n B) = P(B) - P(M n B) = 0.4 - 0.2 = 0.2

P(M u B) = 0.3 + 0.2 + 0.2 = 0.7 = 70%

a 270° rotation about point p says on e d g e n u it y (had to space it out because it says it's a misspelling so i couldn't submit it

the largest number of the four options is 1.8 x 10-2

you have it in scientific notation.

1.80 x 10-6   = 0.00000180

1.80 x 10-4   = 0.000180 (bigger, or "less small", than the former one)

so

1.8 x 10-2       = 0.0180. as you see. the "less small", or the biggest one of them all.

as you have negative exponent, it means you are dividing 1.8 by 100 (i.e. moving the dot towards left, two times).

if you had positive exponent for the scientific notation, power of tenths, you would be multiplying times 100 (moving the dot towards right) as below:

1.8 x (10)2 = 180

so. if you have negative exponent in scientific notation, move the dot toward left. if it is positive, toward right as many times the exponent tells you.