Answer:
462 ft/s
Step-by-step explanation:
The height of the bullet is modeled by:
h(t) = -16t² + 925t------------------------------------ (1)
The speed of the bullet is modeled by the first derivative of equation (1)
dh/dt= -32t + 925------------------------------------ (2)
At maximum height, dh/dt = 0
0 = -32t + 925
32t = 925
t = 925/32
= 28.91 seconds
This means that the total time to reach maximum height is 28.91 seconds
Substituting into equation (1) we can calculate the maximum height:
h = -16 (28.91)² +925 (28.91)
= -13,372.61 + 26,742.675
= 13,367.065 ft
Average speed = Total distance/ Total time
= 13,367.065/28.91
= 462.368
≈ 462 ft/s
Mike tosses 70%
Ike tosses 67%
Both tosses 50%
<span>Which of the following is closest to the probability that Ike's proportion is ringers is higher than Mike's for those tosses?
</span>
P(m) = 70/100
P(i) = 67/100
P(b) = 50/100
= P(b) * P(i)
= 50/100 * 67/100
= 0.335
The correct answer is letter D) 0.3745.
Did your explanation include the following?
Some polynomial equations have complex solutions.
Therefore, complex solutions cannot be found by graphing the related system or function in the Cartesian (x-y) plane.
Polynomial functions with all complex solutions do not have x-intercepts, and the related system of equations will not intersect.
P(82 - q < x < 82 + q) = 0.44
P(x < 82 + q) - P(82 - q) = 0.44
P(z < (82 + q - 82)/7.4 - P(z < (82 - q - 82)/7.4) = 0.44
P(z < q/7.4) - P(z < -q/7.4) = 0.44
P(z < q/7.4) - (1 - P(z < q/7.4) = 0.44
P(z < q/7.4) - 1 + P(z < q/7.4) = 0.44
2P(z < q/7.4) - 1 = 0.44
2P(z < q/7.4) = 1.44
P(z < q/7.4) = 0.72
P(z < q/7.4) = P(z < 0.583)
q/7.4 = 0.583
q = 0.583 x 7.4 = 4.31
