Answer:
16/25 = 0.64 = 64%
Step-by-step explanation:
If we want the probability of Fiona waking up before 8am for at least one of the days, we can calculate the probability of she not waking up 8am in both days, and then we do 1 minus this probability.
The probability of she not waking up 8am in one day is (1 - 2/5) = 3/5
The probability of she not waking up 8am in both days is 3/5 * 3/5 = 9/25
So, the probability of Fiona waking up before 8am for at least one of the days is (1 - 9/25) = 16/25 = 0.64 = 64%
Answer:
990, C
Step-by-step explanation:
The formula for the surface area of the bottom cushion is
A = 2wl + 2lh + 2hw (w is width, l is length, h is height)
w = 18, l = 21, h = 3
A = 2(18)(21) + 2(21)(3) + 2(3)(18)
A = 2(378) + 2(63) + 2(54)
A = 756 + 126 + 108
A = 990 (C)
Hey there! :)
The formula for finding volume of a rectangular prism ⇒ l · w · h
l = 10
w = 3
h = 7
<em>All you have to do is multiply the 3 numbers together</em>
10 × 3 × 7 = 210
The volume is 210 cubic feet ⇒ C
Hope this helps :)
We know that (5/4)sin(pi) = 0
and (5/4)sin(3pi/2) = -5/4
The curve between x=pi and 3pi/2 is monotonic decreasing, so the
range of (5/4)sin(x) for pi<= x <= 3pi/2 is [-5/4,0]
Answer:x = 0, y = 3, z = 2
Step-by-step explanation:
The given system of equations is expressed as
x - y + 4z = 5 - - - - - - - - - - - - - -1
4x + z = 2
z = 2 - 4x- - - - - - - - - - - - - -2
x + 5y + z = 17- - - - - - - - - - - - - -3
From equation
Substituting equation 2 into equation 1 and equation 3, it becomes
x - y + 4(2 - 4x) = 5
x - y + 8 - 16x = 5
x - 16x - y = 5 - 8
- 15x - y = - 3 - - - - - - - - - - - - - -4
x + 5y + 2 - 4x = 17
x - 4x + 5y = 17 - 2
- 3x + 5y = 15- - - - - - - - - - - - - -5
We would eliminate y by multiplying equation 4 by 5 and equation 5 by 1. It becomes
- 1
- 75x - 5y = - 15
- 3x + 5y = 15
Adding both equations, it becomes
- 78x = 0
x = 0
Substituting x = 0 into equation 2, it becomes
z = 2 - 4 × 0
z = 2
Substituting x = 0 and z = 2 into equation 1, it becomes
0 - y + 4 × 2 = 5
- y + 8 = 5
y = 8 - 5
y = 3
