It is convenient to let a spreadsheet or graphing calculator do the math for this. Functions can be defined for cost and profit, and evaluated at each of the volumes of interest.
a1) For 200 cars, the Outside location yields the greatest profit
a2) For 300 cars, the City location yields the greatest profit
b) The sites yield the same profit for a volume of 278 cars.
Answer:
The value of f(30) is equal to 2.
Step-by-step explanation:
The given expression is :

We need to find the value of f(30)
Put x = 30 in above expression.
So,

Hence, the value of f(30) is equal to 2.
Answer:
9
Step-by-step explanation:
We're using the Pythagorean theorem here since it's a right triangle.
a^2 (side) + b^2 (side) = c^2 (hypotenuse)
12 = a
x = b
15 = c
12^2 + b^2 = 15^2
144 + b^2 = 225
- 144 - 144 (subtracting 144 from both sides to isolate b)
b^2 = 81
(getting rid of the exponent by squaring both sides)
b = 9
x = 9
Answer:
No. The method is not fair.
<span>The
probability of pulling a gold or a silver for the first time is 1/10. The
probability of getting the same color the second time is 1/9. The probability
of getting a different color on the second pullout is still 1/10. Therefore,
the chance that same colors will be
pulled out is higher than that of different colors. Betty has an advantage in the drawing by 1.1%.</span>
Solution:
Probability of same color:
1/10+1/9
9/90+10/90
21.1%
Probability of different colors
1/10+1/10
2/10
20%
<span>21.1%-20%=1.1%</span>