We first determine the z-scores for the given x-values of 64 and 96.
For x = 64: z = (64 - 80) / 8 = -2
For x = 96: z = (96 - 80) / 8 = 2
Therefore we find the probability that -2 < z < 2, which is around 0.95. Therefore, out of 100 students, approximately 100(0.95) = 95 students will weigh between 64 and 96 pounds.
Answer:
Step-by-step explanation:
(3,1) lies below the vertex, so the parabola opens downwards.
Equation for a down-opening parabola with vertex (2,3):
y = a(x-2)² + 3, a<0
Plug in (3,1) and solve for a:
1 = a1² + 3
a = -2
y = -2(x-2)² + 3
Answer:
30 degrees
Step-by-step explanation:
Because the angles are complementary, they MUST equal to 90 degrees
Because measure of Angle A = 60, then the measure of Angle B = 30, because 60 + 30 = 90 degrees
Answer: About 22%
This is because all of her expenses add up to $800. $175 of those are for her phone and clothes. 175/800 equals about 22 percent. Exact answer is 21.875%