The theorical probability is 1/4, because there are 4 possible outcome, and they are equally likely to be picked (the sectors have the same area)
The experimental probability is 3/20, becuase the red sector was picked 3 times in 20 trials.
Step-by-step explanation:
the volume of a box (or prism) is always
length × width × height
so, box A
13 × 12 × 16 = 2,496 in³
box B
18 × 25 × 16 = 7,200 in³
box C
12 × 14 × 22 = 3,696 in³
box D
20 × 22 × 17 = 7,480 in³
so, she can use B or D.
Simply you can substitute theta=45 degrees (or any angle,not zero) in left hand side and right hand side.
or
using a^2 - b^2 =(a+b)(a-b)
= sin(2x+x)sin(2x-x)
= sin 3x sin x
Answer:
<h2>
-29.61m/s</h2>
Step-by-step explanation:
Given the distance of fall of the student in term of the time t expressed by the equation s(t) = −16t² + 8√t, to get the average speed of fall of the pencil after 2.8 secs, we will need to differentiate the given function first since Velocity is the change in distance of a body with respect to time i.e
V = d(s(t))/dt
s(t) = −16t² + 8t^1/2
V = -32t+1/2(8)t^(1/2 - 1)
V = -32t+4t^-1/2
The average speed of the fall Using the fact that the pencil hit the ground in exactly 2.8 seconds, will be gotten by substituting t = 2.8 into the resulting equation.
V = -32t+4(2.8)^-1/2
V = -32t+4/√2.8
V = -32+4/1.6733
V = -32+2.391
v = -29.61m/s
<em>Hence the average speed of the fall is -29.61m/s</em>
