Answer:
x = 6
Step-by-step explanation:
I think it's supposed to be
y = x² - 12x + 36
Set the equation equal to zero and solve...
0 = x² - 12x + 36
Now factor. What 2 numbers add to -12, and multiply to 36?
-6 and -6, so our factors are
0 = (x - 6)(x - 6)
So
0 = x - 6, then
6 = x
Answer:
$12
Step-by-step explanation:
If we stuck with the price of $8, then we end with an income of $2400
Increasing it by $1 will decrease attendance by 20
8 x 300 = 2400
9 x 280 = 2520
10 x 260 = 2600
11 x 240 = 2640
12 x 220 = 2640
13 x 200 = 2600
We're starting to go down, so let's stop there
The ticket price of $11 or $12 appears to give the most income
I would stick with $12 since your still getting more money from one ticket
Answer:
86.7 ft²
Step-by-step explanation:
arc area = area of the circle x ( arc angle measure / 360°)
area of the circle = 65 / (270/360) = 86.67 ft²
Since there are two events happening simultaneously (windy and no sun), we can apply the concept of conditional probability here.
P(A|B) = P(A∩B)/P(B)
where it means that given B is happening, the probability that A is happening as well is the ratio of the chance for A and B to happen simultaneously over the chance of B to happen.
For our case, this can be interpreted as
P(A|B): it is the probability that it is windy (A) GIVEN that there is no sun (B)
P(A∩B) : chance of wind and no sun
P(B) : chance that there is no sun tomorrow
The chance of P(A∩B) is already given as 20% or 0.20. Since there is 10% or 0.10 chance of sun, then chances of having no sun tomorrow is (1-0.10) = 0.90.
Thus, we have P(A|B) = 0.2/0.9 ≈ 0.22 or 22%.
So, answer is B: 22%<span>.</span>
Answer:
$360.00 for the whole room
Step-by-step explanation:
