Answer:
A sample of 601 bricks will be needed.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of , and a confidence level of , we have the following confidence interval of proportions.
In which
z is the zscore that has a pvalue of .
The margin of error is:
95% confidence level
So , z is the value of Z that has a pvalue of , so .
How large a sample will we need?
A sample of n bricks will be needed.
n is found when M = 0.04.
We have no estimate for the proportion of defective bricks, so we work with the worst case scenario, which is
Rounding up
A sample of 601 bricks will be needed.
To determine the marginal cost of the production, one needs to derive the given equation for the cost,
c(x) = 6x4 - 30x3 - 54x2 + x + 2
The derivative of the equation in terms of x is as reflected below.
c'(x) = 24x3 - 90x2 - 108x + 1
Equate the derivative to zero in order to determine the value of x .
c'(x) = 0 = 24x3 - 90x2 - 108 + 1
The value of x from the equation is 4.025.
Substituting x to the original equation,
c(x) = -1254.35 and at c(0) = 2
Answer:
$6,400.00
Step-by-step explanation:
Following the rule of PEMDAS,
exponents go first in this scenario.
10^7 = 10000000
2.56*10000000 = 25600000
Then, divide the amount of money by the number of employees.
25600000/4,000 = 6400
Each employee would receive $6,400.00
Answer:
(From left to right) 2, 4, 6, 8.
Step-by-step explanation:
Answer:
(6,0)
Step-by-step explanation: