A circle has an initial radius of 50 ft when the radius begins decreasing at the rate of 5 5 ft/min. What is the rate in the ch
1 answer:
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Answer:
(1) 97
(2) 385
(3) 9604
Step-by-step explanation:
The (1 - <em>α</em>) % confidence interval for population proportion is:
The margin of error in this interval is:
The formula to compute the sample size is:
(1)
Given:
*Use the <em>z</em>-table for the critical value.
Compute the value of <em>n</em> as follows:
Thus, the minimum sample size required is 97.
(2)
Given:
*Use the <em>z</em>-table for the critical value.
Compute the value of <em>n</em> as follows:
Thus, the minimum sample size required is 385.
(3)
Given:
*Use the <em>z</em>-table for the critical value.
Compute the value of <em>n</em> as follows:
Thus, the minimum sample size required is 9604.
Answer:
Step-by-step explanation:
We have two mixed numbers and are asked to multiply them together.
2 1/4 * 1 2/3
First we convert the mixed numbers into improper fractions to make it easier for us. So follow the MA rule.
Multiply the whole number by the denominator and add the numerator.
2 1/4 * 1 2/3
9/4 * 5/3
Now multiply across,
Now we need to convert this back into a mixed number.
So how many times does 45 go into 12?
3 times, and 3 are left.
Answer: 4
Step-by-step explanation:
Let N be the total number of runs.
The microscopes per year will be equal to the total number of runs * microscopes per run
total number of microscopes = total number of runs * microscopes per run
now we have each run to cost 2500, therefore:
run costs = 2500 * total runs = 2500*N
we also have insurance and storage costs (note the average thats why we divide by 2):
storage costs = 20* microscopes per run /2 = 20*N/2
insurance costs = 15 * microscopes per run = 15*N
the costs are:
costs = run costs + storage + insurance
now the comany sells 1600 microscopes a year, so in order to figure out the number of microscopes per run we divide 1600 by the total number of runs N and replace in the costs
costs = 2500N + 40000/N => C(N) = 2500N + 40000/N
now derivate the function with respect to N and equal to 0:
this gives you two solutions, N = -4 which is not eligible (you cant make negative microscopes lol) and N = 4 which is the answer
have a nice day