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IrinaK [193]
3 years ago
12

A life insurance salesman sells on the average 4 life insurance policies per week.

Mathematics
1 answer:
Lorico [155]3 years ago
7 0

Answer:

0.195

0.191

Step-by-step explanation:

Given that :

μ = 4

Using poisson :

P(x) = (e^-μ * μ^x) ÷ x!

P(x = 3) = (e^-4 * 4^3) / 3!

= (0.0183156 * 64) / 6

= 0.1953664

= 0.195

b. What is the probability that he will sell at most 5 policies in two weeks period?

Mean per week = 4

Mean in two weeks = 4 * 2 = 8

P(x ≤ 5) = p(5) + p(4) +... + p(0)

Using the poisson distribution calculator :

P(x ≤ 5) = 0.19124

= 0.191

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KATRIN_1 [288]

Answer:

It would take Al 7.5 days to build the grill alone.

Step-by-step explanation:

Since Tim and Al are bricklayers, and Tim can construct an outdoor grill in 5 days, and if Al helps Tim, they can build it in only 3 days, to determine how long would it take Al to build the grill alone should be done the following calculation:

1/5 + X = 1/3

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X = 1 / 7.5

Therefore it would take Al 7.5 days to build the grill alone.

4 0
3 years ago
Suppose that cos = 12/13 what is sin what is cos 2
riadik2000 [5.3K]
First, some housekeeping:

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cos x = 12/13 is fine; here "cos" has the argument (input) x.

Given that cos x = 12/13, find sin x.  To do this, we'll need to find the length of the opposite side, given that the hypo length is 13 and the adj. side length is 12.

12^2 + opp^2 = 13^2, or            opp^2 = 169-144 = 25.

Then the opp side could be either 5 or -5.  Let's assume that it's +5, and that angle x is in the first quadrant.

Then sin x = opp / hyp  =  5/13   (answer)


cos 2 is an entirely different kind of problem.  Here you are told what the argument (input) to the cosine function is (it is 2, which here means 2 radians).

Using a calculator:  cos 2 = -0.416.  Note that the angle 2 rad is in QII, which is why the "adjacent side" is negative and also why the cos of 2 is negative.
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The harbor at Green Top Lake has a lot of green algae at the end of the summer. However, as the weather gets colder, the algae b
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Answer:

Step-by-step explanation:

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3 0
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Answer:

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Step-by-step explanation:

3 0
3 years ago
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Answer:

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Step-by-step explanation:

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