Rewrite each expression as a product of two powers

2²⁴ * 5¹⁴

Step-by-step explanation:

Given: 5⁵(16² * 5³)³

It is required to rewrite the expression as a product of two powers:

So,

16² = (2⁴)² = 2⁸

So, 5⁵(16² * 5³)³

= 5⁵(2⁸ * 5³)³

= 5⁵ * (2⁸)³ * (5³)³

= 5⁵ * 2²⁴ * 5⁹

= 2²⁴ * 5¹⁴

We have used the following rules:

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

y=3x+4

step-by-step explanation:

given the points a(0,4) and b(-4, -8)

eqn of line ab: (y-4)/(x-0)=(-8-4)/(-4-0)

(y-4)/x=-12/-4=3

y=3x+4