PLEASE HELP, WILL MARK BRAINLIEST! A circular pool has a footpath around the circumference. The equation x2 + y2 = 2,500, with units in feet, models the outside edge of the pool. The equation x2 + y2 = 3,422.25, with units in feet, models the outside edge of the footpath. What is the width of the footpath?

8,5 feet

Step-by-step explanation:

The equation of the form

x² + y² = (r)²

Is the equation of the circumference

We have for the pool:

x²  +  y²  = 2500      ⇒  x²  +  y²  = (50)²

And for the outside edge of the footpath

x²  +  y²  = 3422,25  ⇒  x² + y²  = (58,5)²

So we obtain the radius of each circumference

For the outside edge of the pool  r₁  = 50 feet

For the outside edge of the footpath r₂ = 58,5  feet

Then the width of the footpath is  58,5  - 50  =  8,5 feet

the graph in the attached figure

step-by-step explanation:

we have

using a graphing tool

the graph in the attached figure

the roots are ( x-intercepts) x=-0.5,x=1,x=3

the y-intercept is the point (0,3)

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