None of the answers are correct because it would be 4, 10, 12, 17, then 41
Answer:
Step-by-step explanation:
Total profit function is equal to Total revenue function minus Total Cost function.
To get both Revenue function and Cost function, integrate the Marginal functions as follows:
R(t) = 108.7312t^2
Where 80et = 217.4624t
(e =2.71828)
C(t) = 80t - 0.4t^2
P(t) = R(t) - C(t) = 109.1312t^2 - 80t
When t=0, P=0
When t=1, P=29.1312
When t=2, P=276.5248
When t=3, P=742.1808
And so on ...
Summing the daily profits, total profit for the 10 days is 37,615.512 dollars which equals 3,761551.2 cents
(B)
Average daily profit for the first 10 days (in dollars) is 37,615.512÷10 = 3,761.5512 dollars
= 376,155.12 cents
____________________________
|2x + 6| > 10
(2x + 6) > 10 -(2x + 6) > 10
2x + 6 > 10 -2x - 6 > 10
<u> - 6 - 6</u> <u> + 6 + 6</u>
<u> 2x</u> > <u>4</u> <u>-2x</u> > <u>16</u>
2 2 -2 -2
x > 2 x > -8
Answer:
P-value = 0.02275
Step-by-step explanation:
We are given the following in the question:
Population mean, μ = 12 kilograms
Sample mean, = 11.5 kilograms
Sample size, n = 4
Alpha, α = 0.05
Population standard deviation, σ = 0.5 kilograms
First, we design the null and the alternate hypothesis
We use one-tailed(left) z test to perform this hypothesis.
Formula:
Putting all the values, we have
We calculate the p-value from the standard z-table:
P-value = 0.02275