The perimeter of a rectangle is 54 cm and its width is 11 cm longer than its length. What is the width? Show your work using an equation. Write just the width below.

19cm

Step-by-step explanation:

Perimeter =54 cm

let the length be x

the width is 11cm longer than the length so it will be x + 11

and we have 2 lengths and 2 widths in a rectangle, so the equation is:

x+x+x+11cm+x+11cm=54cm

4x+22cm=54cm

4x=54cm-22cm

4x=32cm

divide both sides by 4 to find x

x=8cm

previously I said the length is x and the width is x+11, and we've found the length which is x, so to find the width:

x+11cm

8cm+11cm=19cm

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