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irga5000 [103]
3 years ago
7

Find the probability of a least one birthday match among a group of 44 people.

Mathematics
1 answer:
Cerrena [4.2K]3 years ago
3 0

Answer:

0.1137= 11.37%

Step-by-step explanation:

Assuming there are 365 days in one year and every people have 1 birthday, then the chance for two people to have the same birthday is 1/365 and the chance they are not is 364/365. We are asked the chance for at least one match among 44 people. The opposite of the condition is that we have 0 matches and easier to calculate. The calculation will be:

P(X>=1)= ~P(X=0) = 1

P(X>=1)=- P(X=0)

P(X>=1)=1 - (364/365)^44

P(X>=1)=1- 0.8862

P(X>=1)=11.37%

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Answer:

Jim's path is the critical path on this activity graph.

Step-by-step explanation:

Critical Path:

Critical path is the the longest path in the project task paths. It shows the least amount of time in which project can be completed. It can be find by looking at the longest path in the network diagram of the project; not in term of nodes or activities instead in term of days.

In given case:

Path 1 Bill task's total duration= 6 days

Path 2 Jim's task's total duration= 17 days

Path 3 Betty task's total duration= 7 days

Path 4 Cynthia task's total duration= 14 days

Hence the longest path i.e. critical path is of Jim's activity path !

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3 years ago
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7/12 + 3/4 in simplest form?
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Step-by-step explanation:

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2 years ago
Ryder Industries is considering a project that will produce cash inflows of $92,000 a year for five years. What is the internal
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Answer:

20.02%

Step-by-step explanation:

Formula : NVP = 0 =-P_0 + \frac{P_1}{(1+IRR)} + \frac{P_2}{(1+IRR)^2} + . . . +\frac{P_n}{(1+IRR)^n}

P_0 = 275000

n = 1,2,3,4,5

Substitute the values in the formula :

0 =-275000 + \frac{92000}{(1+IRR)} + \frac{92000}{(1+IRR)^2} + \frac{92000}{(1+IRR)^3}+\frac{92000}{(1+IRR)^4}+\frac{92000}{(1+IRR)^5}

275000 = \frac{92000}{(1+IRR)} + \frac{92000}{(1+IRR)^2} + \frac{92000}{(1+IRR)^3}+\frac{92000}{(1+IRR)^4}+\frac{92000}{(1+IRR)^5}

Solving for IRR using calculator

IRR = 20.02

Hence the internal rate of return if the initial cost of the project is $275,000 is 20.02%

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