Which of the following properties is necessary to simplify the expression given below?
(–2) + 5(x – 3) – 4x(6 + 1)

C. Distributive property

Step-by-step explanation:

The options to your question can be found in the image below.

the correct option is C. Distributive property

(to clear the parenthesis)

(–2) + 5(x – 3) – 4x(6 + 1)

= -2 + 5x -15 -24x -4x

= -17 +5x -28x

= -23x -17

10.416 meters per second

step-by-step explanation:

distance=1 00 meters

time= 9.6 seconds in decimal form or 9 3/5 as a mixed number

average speed= 100/9.6

=10.416 meters per second or 10 52/125 as a mixed number.

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