Let

the price of a ticket
Let

the cost to put on the show
Formula:
(profit) = (ticket price) * (number of people) - (cost to put on show)
We have two equations here:


Solve:

⇒

⇒

⇒

⇒

So the price of a ticket is $5, and the cost to put on the show is $100.
0.5 is the answer hope I helped you
Answer:
x=6
Step-by-step explanation:
81^x = 27 ^(x+2)
81 = 3^4 and 27 =3^3 so replace 81 and 27 in the equation
3^4^x = 3^3^(x+2)
When we have a power to a power we can multiply the exponents
a ^b^c = a^(b*c)
3^(4x) = 3^(3*(x+2))
Since the bases are the same, the exponents have to be the same
a^b = a^c means b=c
4x = 3(x+2)
Now we can solve for x
Distribute
4x = 3x+6
Subtract 3x from each side
4x-3x = 3x-3x+6
x = 6
Answer:
I mite be rong but I think 8x and 3x
Answer:
The value of test statistic is 1.338
Step-by-step explanation:
We are given the following in the question:
Population mean, μ = 16.000
Sample mean,
= 16.218
Sample size, n = 22
Alpha, α = 0.05
Sample standard deviation, s = 0.764
First, we design the null and the alternate hypothesis
We use one-tailed t test to perform this hypothesis.
Formula:
Putting all the values, we have
Thus, the value of test statistic is 1.338