The length of a rectangle is 4 m shorter than its width. If the perimeter of the rectangle is 18 m, find its length and width. Group of answer choices

2(x - 4) + 2x = 18, where x represents the width.

2x - 8 + 2x = 18 (Distribute 2)

4x - 8 = 18 (Add like terms)

4x = 26 (Add 8 to both sides)

x = 6.5 (Divide 4 from both sides)

Length = x - 4 (Length is 4 less m than Width [x - 4])

6.5 - 4 = 2.5 (Substitue in x)

Length = 2.5

The length is 2.5 meters and the width is 6.5 meters.

You can check by adding 2.5 + 2.5 + 6.5 + 6.5 = 18.

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