Answer:
0.159
Step-by-step explanation:
Given that:
Sample size (n) = 100
Population mean(pm) = 50
Standard deviation (s) = 8
Probability that Sample mean (m) will be greater Than 50.8
Using the relation :
(sample mean - population mean) / (standard deviation /sqrt(n))
P(m > 50.8)
Z = (50.8 - 50) / (8/ sqrt(100))
Z = 0.8 / (8/ 10)
Z = 0.8 / 0.8
Z = 1
P(Z > 1) = 0.15866 ( Z probability calculator)
Hence,
P(Z > 1) = 0.159 ( 3 decimal places)
Revenue:
R ( x ) / x = 30 - 0.25 x
R ( x ) = 30 x - 0.25 x²
Profit:
P ( x ) = 30 x - 0.25 x² - 200
P ` ( x ) = 30 - 0.5 x
30 - 0.5 x = 0
0.5 x = 30
x = 60
P max = 30 · 60 - 0.25 · 3600 - 200 = $700
Answer:
I should sell 60 tickets to maximize the profit.
Answer:
The average rate of change of <em>g</em> from <em>x</em> = <em>a</em> to<em> x</em> = <em>a</em> + <em>h</em> is -3.
Step-by-step explanation:
We are given the function:
And we want to determine its average rate of change of the function for <em>x</em> = <em>a</em> and <em>x</em> = <em>a</em> + <em>h</em>.
To determine the average rate of change, we find the slope of the function between the two points. In other words:
Simplify:
In conclusion, the average rate of change of <em>g</em> from <em>x</em> = <em>a</em> to <em>x</em> = <em>a</em> + <em>h</em> is -3.
This is the expected result, as function <em>g</em> is linear, so its rate of change would be constant.
Answer:
480
Step-by-step explanation:
The probability she will roll 2 odd numbers is 12/50 (the number of odd rolls over the total). This simplifies to 6/25
Multiply the probability times the total number of rolls to get a good estimate of the number of rolls that till be odd odd
6/25 * 2000 =480
Answer:
the fish has a final elevation of negative 2
Step-by-step explanation:
