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A single die is rolled twice. Find the probability of rolling an odd number the first time and a number greater than one the second time.
Let (a_n) evaluated from n=M to infinity be a sequence of real numbers. Then the limit lim as n-->infinity of a_n exists and is equal to zero if and only if the limit lim as n-->infinity of the absolute value of a_n exists and is equal to zero.
What was the average after 3 months - After how many months would be expected that the average mark would be less than 50?
We want to know how many years it would take for the pollution in a lake to reach 5% of its current level, assuming no pollution flows in. Make some simplifying assumptions to estimate this.
Derive the statement as corollaries of other theorems from the text or of statement you have proved true in the exercise.
In finding the average size of automobile tire that is purchased, the mean or median size might be a tire that does not exist. Therefore, one would want to know the size of tire bought most often.
It has been recorded that the average number of errors in a newspaper is 4 mistakes per page. What is the probability of having 0 or one error
Define, in your own words, a rational expression. Describe the process for finding an equivalent rational expression. Explain why it might be necessary to find an equivalent rational expression, and give an example.
If 20 units of A are required in Week 10, use the low-level-coded bill of materials (product structure tree) to ?nd the necessary planned order releases for all components.
suppose that a body with temp. 85F is discovered at midnight, and that the ambient temp. is 70F. the body is removed quickly to the morgue where the ambient temp. is 40F. after 1 hour the body temp. is found to be 60F. estimate time of death.
Calculating the probability values
a) Give the third-order MacLaurin polynomial P3(x)for the function f(x)=1/(2+x)
Victor lives in the same flat state with perfectly straight roads as Jeff the trucker (this means there are no corners whatsoever!). Victor's school is exactly 10 miles east and 25 miles north of his house (Victor's)
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