PLEASE HELP FAST!!! The table shows the percentage of students in each of three grade levels who list soccer as their favorite sport.
Soccer
Sophomores (35%) 50%
Juniors (33%) 45%
Seniors (32%) 30%
Total (100%) (0.5)(0.35) + (0.45)(0.33) + (0.32)(0.3) = 0.4195 or about 42%

Find the probability, rounded to the nearest hundredth, that any student selected from all three grades is a junior who lists soccer as the favorite sport.
P(junior ∩ soccer) =
A) 0.45
B) 0.78
C) 0.52
D) 0.15

step-by-step explanation:

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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.

b. b < 1 might be the correct answer