Which choice correctly shows the solution(s) of the equation x2 = 121? a) x = √ 121 b) x = − √ 121 c) x = ± √ 11 d) x = ± √ 121

Hello from MrBillDoesMath!

Choice D, x = +\ sqrt(121)

Discussion:

x^2 = 121           =>          take square roots of both sides

x = +\- sqrt(121) =>         as sqrt(121) = +\- 11

x = +\- 11                    

The closest answer is D as it includes both values of x,  unlike choices A and B which include a single value of the square root

Thank you,

MrB

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

$15.40 per mile

step-by-step explanation:

you have to round up to 4 because 6 is over 5 so you have to round the 3 up to 4