Answer:
B. a = 5
Step-by-step explanation:
3(a - 4) + 1 = 9 - a
Distribute the 3 into the parenthesis.
3a - 12 + 1 = 9 - a
Add -12 and 1.
3a - 11 = 9 - a
Add a to both sides.
4a - 11 = 9
Add 11 to both sides.
4a = 20
Divide both sides by 4.
a = 5.
Proof:
3(a - 4) + 1 = 9 - a
Substitute variable.
3(5 - 4) + 1 = 9 - 5
Subtract inside parenthesis.
3(1) + 1 = 9 - 5
Multiply 3 and 1.
3 + 1 = 9 - 5
Add 3 and 1.
4 = 9 - 5
Subtract 5 from 9.
4 = 4.
Answer:
7
Step-by-step explanation:
first put them in order
5,6,6,8,9,9
now the ones that are in the middle are 6 and 8 so we find the average by adding them then dividing by 2
6+8=14/2=7
Answer:
6.68% or 0.0668
Step-by-step explanation:
Mean sheet length (μ) = 30.05 inches
Standard deviation (σ) = 0.2 inches
In a normal distribution, for any length X, the z-score is determined by the following expression:
For X = 29.75, the z-score is:
A z-score of -1.5 corresponds to the 6.68th percentile of a normal distribution.
Therefore, the probability that a sheet selected at random will be less than 29.75 inches long is 6.68%.
Answer:
a=2, b=2, c=-12
Step-by-step explanation:
Since it's in factor form, you would first distribute using foil to get 
and then combine like terms when necessary. In this case, the fully simplified version is 
. Therefore your a is 2, b is 2, and c is -12.
Answer:
$80
Step-by-step explanation:
So for this we need the cost of 4 regular tickets minus the cost of 4 discount tickets.
4(125$) = 500$
4(105$) = 420$
From here, we can find out how much is saved by the four people.
500$ - 420$ = 80$
So 80 dollars are saved by the four people.
Cheers.
