Answer:
0.350 is bigger
Step-by-step explanation:
Answer:
a. 144 ft
b. 5 s
Step-by-step explanation:
h = -16t² + 64t + 80
a. This is a parabola, so the maximum height is at the vertex.
t = -64 / (2 × -16)
t = 2
h = -16(2)² + 64(2) + 80
h = 144
The apple reaches a maximum height of 144 ft.
b. 0 = -16t² + 64t + 80
0 = t² − 4t − 5
0 = (t + 1) (t − 5)
t = -1 or 5
t must be positive, so it takes 5 seconds to reach the ground.
Answer:
I think it is 7.6
the square root of 58 is 7.6
7.6 x2 = y y/2= 7.6 again
Answer:
-2 and 20
Step-by-step explanation:
20 x (-2) = -40
20 + (-2) = 18
Answer:
The closest to the maximum profit is ![x = \$ 83682](https://tex.z-dn.net/?f=x%20%3D%20%5C%24%2083682)
Step-by-step explanation:
From the question we are told that
The mean is ![\mu = \$66,000](https://tex.z-dn.net/?f=%5Cmu%20%20%3D%20%20%5C%2466%2C000)
The standard deviation is ![\sigma = \$ 21000](https://tex.z-dn.net/?f=%5Csigma%20%20%3D%20%5C%24%2021000)
The percentage of profit is 20%
Generally the closest to the maximum annual profit at a store where the executives conducted an audit is mathematically evaluated as follows
![P(X > x ) = 0.20](https://tex.z-dn.net/?f=P%28X%20%3E%20%20x%20%29%20%3D%20%200.20)
=> ![P(X > x ) = P(\frac{X -x}{\sigma } > \frac{x -66000}{21000} ) = 0.20](https://tex.z-dn.net/?f=P%28X%20%3E%20%20x%20%29%20%3D%20P%28%5Cfrac%7BX%20-x%7D%7B%5Csigma%20%7D%20%20%3E%20%20%5Cfrac%7Bx%20-66000%7D%7B21000%7D%20%29%20%3D%20%200.20)
From the z-table the z-score for 0.20 is
![z-score = 0.842](https://tex.z-dn.net/?f=z-score%20%3D%20%200.842)
So
![\frac{x -66000}{21000} = 0.842](https://tex.z-dn.net/?f=%5Cfrac%7Bx%20-66000%7D%7B21000%7D%20%20%3D%200.842)
=> ![x = \$ 83682](https://tex.z-dn.net/?f=x%20%3D%20%5C%24%2083682)