Let X be the number of energy drinks sold.
The manufacturer of an energy drink spends $1.20 to make each drink and sells them for two dollars the manufacturer also has fixed cost each month of $8000.
The manufacturing cost for X energy drinks is

Fixed cost is $8000.
Therefore, cost function is

Selling price of each drink is $2.
Therefore, the revenue function is

Hence, the revenue function is
Answer:
9.8 units
Explanation:
According to Pythagoras theorem, the square of length of the hypotenuse is equal to the sum of squares of lengths of other two sides.
Let the third side be x units.
Then,
x² + 10² = 14²
=> x² + 100 = 196
=> x² = 196 - 100
=> x² = 96
=> x = √96
=> x = 4√6
=> x = 9.79....
=> x = 9.8 (Rounding to the nearest tenths)
So, the length of the third side is 9.8 units.
Answer:
The range is the set of all second elements of ordered pairs (y-coordinates). Only the elements "used" by the relation or function constitute the range. Domain: all x-values that are to be used (independent values).
Step-by-step explanation:
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Answer:
The probability that the all three votes are Democrats
P(X=3) = 0.1038
Step-by-step explanation:
<u><em>Step(i):-</em></u>
Given that the all voters are democrats
The probability that the all voters are democrats
p = 47% =0.47
q = 1-p =1-0.47 = 0.53
<u><em>Step(ii):-</em></u>
Let 'X' be the random variable in binomial distribution

The probability that the all three votes are Democrats
P(X=3) = 0.1038
n=3 and r=3


P(X=3) = 0.1038
<u>Final answer:-</u>
The probability that the all three votes are Democrats
P(X=3) = 0.1038
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