What is the radius of a hemisphere with a volume of 31,104π cm3?

r = 3,6 cm

Step-by-step explanation:

Hello !

V(hemisphere) = (2/3)·π·r³

3V = 2·π·r³

r³ = 3V/2·π

r³ = 3·31,104π/2π

r³ = 3·15,552

r³ = 46,656

r = ∛46,656

r = 3,6 cm

Good luck !

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