Answer:
b = -1
Step-by-step explanation:
7(3b-1): 7 goes into the numbers by multiplying. This will give you 21b-7.
So now the equation should be like 21b-7=2b-26.
-7 and 2b swap places, making 21b-2b=7-26. It will give you 19b= -19.
Finally divide the two numbers (-19 / 19) and the solution will be b= -1.
If I didn't make a clear answer or a good explanation, please comment. I sometimes mess up my steps, and this is my first time using this.
Answer:
Mistake in step 3
Step-by-step explanation:
3^16/3^-8 should simplify to 3^24 not 3^8
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
You have the following equation:
In order to solve the previous equation for y, proceed as follow:
3 + y/2 = -212 subtract 3 both sides
y/2 = -212 - 3 simplify right side
y/2 = -215 multiply by 2 both sides to cancel the denominator left side
y = -215(2)
y = -430
Hence, the solution for y in the given equation is y = -430
