Find the area of the yellow sector(s). the diameter is 6.

Area of the circle = πr²

Yellow sectors = 43+46+42=131⁰

r=d/2=6/2=3 units

Area of the yellow sector(s) = (131/360)πr²= (131/360)π*3² ≈ 10.3 units²

Answer b. 10.3 units².

85.560%

step-by-step explanation:

conditional probability is defined as:

p(a|b) = p(a∩b) / p(b)

in other words, the probability that a occurs, given that b has occurred = the probability that both a and b occur / the probability that b occurs.

in this example:

p(turns 64 | turns 44) = p(turns 64 & turns 44) / p(turns 44).

if someone turns 64, they must have already turned 44, so:

p(turns 64 | turns 44) = p(turns 64) / p(turns 44)

on page 42, we see that of the original 100,000, 94944 turn 44, and 81234 turn 64.   therefore:

p(turns 64 | turns 44) = 81234 / 94944

p(turns 64 | turns 44) = 0.85560

she will travel a distance in the range of 3 - 11 miles