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Rudik [331]
4 years ago
6

Maximum time to complete a task in a project is 2.5 days. suppose that the completion time as a proportion of this maximum is a

beta random variable with α = 2 and β = 3. what is the probability that the task requires more than two days to complete
Mathematics
1 answer:
nika2105 [10]4 years ago
5 0
The beta distribution takes a value between 0 and 1.

The proportion of 2 days relative to max of 2.5 days is 2/2.5 = 0.8.

You want the P(x>0.8) for the beta distribution.

= \int_{0.8}^1 \frac{ ( \alpha + \beta  -1)!}{(\alpha -1)! (\beta-1)!} x^{\alpha -1} (1-x)^{\beta-1} \\  \\ = 12 \int_{0.8}^1 x(1-x)^2 \\  \\ = 0.0272

Answer: The probability it takes more than 2 days is 2.72%
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Help please this is for my homework that is due to tomorrow!!
Murljashka [212]

The given polygons are similar

Step-by-step explanation:

By observing the given diagrams, we can see that the respective angles are congruent.

Two shapes are said to be similar if they have same shapes or one shape is created by uniformly increasing or decreasing the side of other.

For this purpose we find the scale factor of greater to smaller image, if the scale factor is same for each side then the two shapes are similar

So,

The scale factor is:

\frac{EF}{AB} = \frac{3}{1} = 3\\\\\frac{FG}{BC} = \frac{9}{3} = 3\\\\\frac{GH}{CD} = \frac{15}{5} = 3\\\\\frac{EH}{AD} = \frac{21}{7} = 3

We can see that the scale factor is same for all sides.

Hence,

The given polygons are similar

Keywords: Polygons, similarity

Learn more about polygons at:

  • brainly.com/question/6569012
  • brainly.com/question/6541303

#LearnwithBrainly

5 0
3 years ago
Circle O is inscribed in square EFGH.
Citrus2011 [14]

Answer:

D) 25.5 cm

Step-by-step explanation:

Circumference = pi × d

20 = 3.14 × d

d = 6.3694267516

Diameter = length of one side

Perimeter of the square = 4s

4(6.3694267516)

25.4777070064 cm

From the options, closest is 25.5

3 0
3 years ago
Can -4/3 be simplified?
ser-zykov [4K]
No -4/3 can not be simplified
3 0
3 years ago
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GalinKa [24]
The answer is (D) ....
6 0
3 years ago
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The solids are similar. Find the missing dimension.
Illusion [34]
30. Set up a proportion of 6/2 and x/10. cross multiply 6 times 10 and you get 60. divide 60 by 2=30
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