Answer:
360
Step-by-step explanation:
You will need 2 * 2 * 2 for the smallest number to be divisible by 8 with all the others.
You will need 3 * 3 for the smallest number to be divisible by 9 with all the others.
Finally you will need 1 five
The smallest number divisible by all of these is 2*2*2*3*3*5 = 360
- 360/2 = 180 works
- 360/3 = 120 works
- 360/5 = 72 works
- 360/6 = 60 works
- 360/8 = 45 works
- 360/9 = 40 works.
There is no smaller number below 360 which will work.
Because we know the area in terms of paint flow, and paint flow in terms of time, we can substitute p(t) for p in the A(p) equation.
A(p(t)) = A(t) = <span>π * (5t)^2 (assuming it's squared for the A(p).
B: 314 units^2
If A(p) = </span>πp2 (instead of p^2), then A(t) = 10πt
B: 31.4 units^2
Answer:
∑E(x
) = 13.49167 floors
Step-by-step explanation:
The expected number of floors no one get off = ∑E(x) where i is from 0 to 23
and E(x) = ∑xP(x)
here x is the indicator of floor where no one gets off, its value is 0 when atleast one person get off on its floor and 1 when when no one gets off.
Now,
P(x=1) = (22/23)¹²
P(x=0) = [1-(22/23)¹²]
Now,
E(x) = ∑xP(x) = 0* [1-(22/23)¹²] + 1*(22/23)¹² =0.586594704
For total number of floors where no one gets off
∑E(x) = E(x₁)+E(x₂)+E(x₃)........................+E(x₂₃)
∑E(x) = 23*0.586594704
∑E(x) = 13.49167 floors
Answer:
1 - 2√7
Step-by-step explanation:
( 4 + √7)(2 - √7)
Open the brackets with
( 4+ √7)
= 4( 2 - √7) + √7(2 - √7)
= 8 - 4√7 + 2√7 - √49
= 8 ( -4 + 2)√7 - √49
= 8 - 2√7 - 7
= 8 - 7 - 2√7
= 1 - 2√7
Answer:B.Median
Step-by-step explanation:In statistics and probability theory, the median is the value separating the higher half from the lower half of a data sample, a population, or a probability distribution. For a data set, it may be thought of as "the middle" value
