In basketball, Anthony makes 1 out of every 4 throws he tries. What is the probability that Anthony will make his next 3 free throws? Round your answer to the nearest tenth of a percent.

1.6%

Step-by-step explanation:

The probability he makes a throw is .25

P(1st throw) =.25

P (2nd throw) =.25

P(3rd throw) = .25

P(make 1, then make 2, then make 3) = .25*.25*.25 =.015625

Changing to percent form = 1.5625%

To the nearest tenth percent

1.6%

1.6%

Step-by-step explanation:

P(success) = ¼

Next three successes:

¼ × ¼ × ¼

= 1/64

0.015625 × 100

1.5625 %

(b) 240

step-by-step explanation:

first, we use the pythagorean formula using the given side lengths to find x. then we use x to find the side lengths. then we add the side lengths to find the perimeter.

pythagorean theorem formula:

a^2 + b^2 = c^2

(x - 20)^2 + (x - 40)^2 = x^2

x^2 - 40x + 400 + x^2 - 80x + 1600 = x^2

x^2 -120x + 2000 = 0

(x - 100)(x - 20) = 0

x - 100 = 0 or x - 20 = 0

x = 100 or x = 20

we see that the solution x = 20 must be discarded because it will give a negative side length and a side length of 0. the only valid solution is x = 100.

perimeter = sum of the lengths of the sides

perimeter = x + x - 20 + x - 40

perimeter = 3x - 60

replace x with 100.

perimeter = 3(100) - 60

perimeter = 300 - 60

perimeter = 240