We can get the Profit function P(x) from the Hint.
the Profit function is: P(x) = xp(x) - C(x) = -0.00041 x2 + 4x - 600
Attention: don't get confuse by the <span>big P of the profit with the small p of the price</span> To calculate the maximum profit, we need to find the derivative of P(x) then set it to 0 then find x: dP(x)/dx = -0.00082 x + 4 = 0 , so x = 4/0.00082 = 4,878 copies each month.
Answer:
The correct option is (B) 69.7%.
Step-by-step explanation:
The table provided represents the probabilities of a positive response to two government programs from citizens in eight cities.
The probabilities mentioned in the table are conditional probabilities, i.e. the probability of a positive response for program 1, given that the individual is from city <em>x</em>.
The probability a positive response for program 1 from an individual from Houston is 69.7%.
Then the conditional probability of a positive response for program 1, given that the individual is from Houston is 69.7%.
Thus, the correct option is (B).
Answer:
x=29.4
Step-by-step explanation:
To help find the sides of a triangle, I use SOHCAHTOA.
SOH - CAH - TOA
S=O/H (
)
C=A/H (
)
T=O/A (
)
Let's find x first. We know 2 parts of the triangle: the adjacent leg, and the angle that is opposite of that.
So it would be tangent (tan).
opposite = 17
adjacent = 30°
Plug these numbers into the calculator and you should get your answer.

x=29.4
Try to do <em>y</em> on your own and let me know if you have any questions!
Also correct me if I'm wrong on anything.
Hope this information helps!
Answer:
40%
Step-by-step explanation:
The whole rectangle is split into 5 parts. Two out of 5 parts are shaded.
Set up a fraction:

Convert into a decimal:

Multiply the decimal by 100 to get the percent:

So, forty percent of the rectangle is shaded.
Hope this helps.