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11111nata11111 [884]
3 years ago
14

You have just used the network planning model and found the critical path length is 30 days and the variance of the critical pat

h is 25 days. The probability that the project will be completed in 33 days or less is equal to:_______.
Mathematics
1 answer:
joja [24]3 years ago
8 0

Answer:

0.726 is the probability that the project will be completed in 33 days or less.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 30 days

Variance = 25 days

Standard Deviation,

\sigma = \sqrt{\text{Variance}} = \sqrt{25} = 5

We assume that the distribution of path length is a bell shaped distribution that is a normal distribution.

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\sigma}

P(completed in 33 days or less)

P( x \leq 33) = P( z \leq \displaystyle\frac{33 - 30}{5}) = P(z \leq 0.6)

Calculation the value from standard normal z table, we have,  

P(x \leq 33) = 0.726 = 72.6\%

0.726 is the probability that the project will be completed in 33 days or less.

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A book falls from a shelf that is 5 feet above the floor. A model for the height h in feet if an object dropped from an initial
Brums [2.3K]

Answer:

About 0.559 seconds

Step-by-step explanation:

The height equation is:

h=-16t^2+h_0

Where h_0 is the initial height of the book, which is 5, so we can write:

h=-16t^2+5

Now, we want time it took for the book to reach ground (h = 0)

So, we substitute h = 0 and solve for t:

h=-16t^2+5\\0=-16t^2+5\\16t^2=5\\t^2=0.3125\\t=0.5590\\t=0.559

It took about 0.559 seconds for the book to reach the ground

5 0
3 years ago
PLEASE HELP!! (will give brainliest for best answer)
patriot [66]

Answer:

C

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
A hospital uses cobalt-60 in its radiotherapy treatments for cancer patients. Cobalt-60 has a half-life of 7
NeTakaya

Answer:

We have 197 g of Co-60 after 18 months.

Step-by-step explanation:

We can use the decay equation.

M_{f}=M_{i}e^{-\lambda t}

Where:

  • M(f) and M(i) are the final and initial mass respectively
  • λ is the decay constant (ln(2)/t(1/2))
  • t(1/2) is the half-life of Co
  • t is the time at the final amount of m

M_{f}=228e^{-\frac{ln(2)}{7} 1.5}    

M_{f}=197\: g    

<u>Therefore, we have 197 g of Co-60 after 18 months.</u>

I hope it helps you!

4 0
3 years ago
N 25 hour, Matt can type 45 page. <br><br> What is Matt's rate in pages per hour?
Kryger [21]
You can divide 45 by by 25 to get the pages per hour and it’s 1.8
5 0
3 years ago
1.325 to the nearest hundreths
12345 [234]
Its 1.33 because you round up if its 5 or greater
4 0
3 years ago
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