Given that a rectangle has a length of 5 2 x + 10 with a width of 5 2 x + 5, which expression represents the area of the rectangle?

Area of the rectangle = (2704x² + 780x + 150)

Step-by-step explanation:

A rectangle has been given with length and width. We have to calculate the expression for area of this rectangle.

Since area of the rectangle = Length × width

Length of the rectangle is given as (52x + 10) and width as (52x + 5)

Now area = (52x + 10).(52x + 5)

= 52x(52x + 5) + 10(52x + 5)

= (52x)(52x) + 5(52x) + 10(52x) + (10)(5)

= 2704x² + 15(52x) + 150

= (2704x² + 780x + 150)

Area of the rectangle will be represented by the expression (2704x² + 780x + 150)

you didn't give me the choices, so i will just give you the graph so you can look at your choices and choose the right one.

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