Let L represent the ladder length, and x the distance the horiz. ladder reaches out from the wall. Then L = x + 3, where x is the distance of the bottom of the ladder from the wall when the top of the ladder is 9 ft. above the ground.
Consider the triangle formed by the hypotenuse (L, same as ladder length), the (vertical) side opposite the angle formed by the hypo. (with length 9 ft) and the horiz side (which we will call x). Then, according to the Pythagorean Theorem,
L^2 = x^2 + 9^2. But L = x + 3, and L^2 = x^2 + 6x + 9 = x^2 + 9^2. Solving this equation results in x=3. 6x + 9 = 9^2, or
6x + 9 = 81
6x = 72
x = 12
But L = x+3. So L=12+3, or L = 15 (feet).
It’s D, 10.7
8 - (4.7 x (-1)) - 2 = 10.7
Answer:
The sample proportion is 0.19815
Step-by-step explanation:
A confidence interval has two bounds, a lower bound and an upper bound. The sample proportion is the halfway point between these two bounds, that is, the sum of the bounds divided by 2.
In this problem, we have that:
Lower bound: 0.1759
Upper bound: 0.2204
Sample proportion:
(0.1759 + 0.2204)/2 = 0.19815
The sample proportion is 0.19815
Answer:
Step-by-step explanation:
Thanks!!!!
