Shari walks 5 blocks to school each morning.The walk takes 10 minutes
1 answer:
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Answer:
Step-by-step explanation:
We have been given that the The annual salaries of all employees at a financial company are normally distributed with a mean of $34,000 and a standard deviation of $4,000.
To solve our given problem we will use z-score formula.
where,
,
,
,
Upon substituting our given values in z-score formula we will get,
Therefore, the z-score of a company employee who makes an annual salary of $54,000 is 5.
Answer:
Step-by-step explanation:
1. regroup terms
2. Rewrite as
and 343 as
3. Since both terms are perfect cubes, factor using the sum of cubes formula, , where
and
4. Factor out of
5. Regroup
6. Factor again
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