Given
x=0 and x =10 and x1, x2, x3, x4 are the midpoints of five equal intervals
Answer
The 5 equal intervals are 2 , 4 , 6, 8 10
Mid points are 1, 3 , 5 , 7 , 9
Option B is correct
Answer:
<h3>A) 204m</h3><h3>B) 188m</h3>
Step-by-step explanation:
Given the rocket's height above the surface of the lake given by the function h(t) = -16t^2 + 96t + 60
The velocity of the rocket at its maximum height is zero
v = dh/dt = -32t + 96t
At the maximum height, v = 0
0 = -32t + 96t
32t = 96
t = 96/32
t = 3secs
Substitute t = 3 into the modeled function to get the maximum height
h(3) = -16(3)^2 + 96(3) + 60
h(3) = -16(9)+ 288 + 60
h(3) = -144+ 288 + 60
h(3) = 144 + 60
h(3) = 204
Hence the maximum height reached by the rocket is 204m
Get the height after 2 secs
h(t) = -16t^2 + 96t + 60
when t = 2
h(2) = -16(2)^2 + 96(2) + 60
h(2) = -64+ 192+ 60
h(2) = -4 + 192
h(2) = 188m
Hence the height of the rocket after 2 secs is 188m
<span>The kinetic energy is 6395.03 J</span>
Answer: 0.8490
Step-by-step explanation:
Given : The population of lengths of aluminum-coated steel sheets is normally distributed with a mean of 30.0 inches and a standard deviation of 0.9 inches.
i.e. 
and 
Let x denotes the lengths of aluminum-coated steel sheets.
Required Formula : 
For n= 36 , the probability that the average length of a sheet is between 29.82 and 30.27 inches long will be :-
∴ Required probability = 0.8490
10/12 = 5/6 probability that she will not win on the next roll
