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maxonik [38]
3 years ago
12

Mauricio, a project manager at a reputed firm, has been assigned to handle a new project that the firm has received. This projec

t involves a lot of scheduling that has to be handled by Mauricio. Mauricio estimates that the first module of the project could be completed in as few as 15 days or could take as many as 25 days, but most likely will require 20 days. Determine the expected task duration.​

Mathematics
1 answer:
ale4655 [162]3 years ago
7 0

Answer:

20 days

Step-by-step explanation:

Expected Task duration

= (O + 4 M + P)/6

Where O = best case scenario = 15 days

P = worst case scenario = 25 days

M = Usual scenario = 20 days

Therefore, expected task duration

= [15 + 4 (20) + 25] ÷ 6

= 120 ÷ 6

= 20 days.

Therefore expected task duration is 20 days.

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A cone-shaped pile of sawdust has a base diameter of 38 feet, and is 14 feet tall. Find the volume of the pile
Romashka-Z-Leto [24]

Answer:

Given: Diameter of cone = 38 feet and height of cone = 14 feet.

Volume of cone V with radius r is one-third the area of the base B times the height h.

i,e  V = \frac{1}{3} B \cdot h = \frac{1}{3} \pi r^2h  ......[1]

,where B = \pi r^2

First find the radius(r);

Using Diameter(D) = 2r

38 =2r

Divide both side by 2 we get;

\frac{38}{2} =\frac{2r}{2}

Simplify:

19 = r

or r =19 feet

Now, substitute the value of r = 19 feet and h = 14 feet in [1]    [ Use value of  \pi = \frac{22}{7} ]

then, we have:

V = \frac{1}{3} \pi r^2h = \frac{1}{3} \cdot  \frac{22}{7} \cdot (19)^2 \cdot (14)

or

V = =\frac{1}{3}\cdot 22 \cdot 19 \cdot 19 \cdot  2 = \frac{22 \cdot 19 \cdot 19 \cdot 2}{3}

or

V = \frac{15884}{3} =5,294.66667 ≈ 5,294.67 cubic feet.

therefore, the volume of pile is; ≈ 5,294.67 cubic feet.


4 0
3 years ago
If a jug is 1/5 full and weighs 250g and 4/5 full and weighs 550g how much does the jug weigh empty
Alika [10]
1/5 full =250g
4/5 full =550g
550g-250g=300g=3/5 without jug
1/5 without jug=300g/3=100g
250g-100g=150g

<u>The jug weighs 150g empty</u>

6 0
3 years ago
Read 2 more answers
How do you solve an absolute value equation?
Mkey [24]

The distance between two real numbers x,y is the absolute value of their difference, |x-y|. So the statement "all x that are 1/4 away from -6" is captured in the equation

|x-(-6)|=\dfrac14

or

|x+6|=\dfrac14

To solve, you can use the definition of absolute value: if x is not negative, then |x|=x; otherwise, |x|=-x.

So there are two cases to consider:

1. Suppose x+6\ge0. Then |x+6|=x+6, and the equation reduces to

x+6=\dfrac14\implies x=-\dfrac{23}4

2. Suppose x+6. Then |x+6|=-(x+6)=-x-6 and

-x-6=\dfrac14\implies x=-\dfrac{25}4

-6=-\dfrac{24}4, so the two solutions we found are correct because both -\dfrac{23}4 and -\dfrac{25}4 are indeed 1/4 away from -6.

- - -

For the question regarding inequality, you know that the absolute value must return a non-negative number. In other words, there is no x such that |x|.

6 0
3 years ago
What is standard form of 104,47
Nady [450]
104.47 is already in standard form :)
3 0
3 years ago
Read 2 more answers
PLEASE ANSWERRRRRRRRR
navik [9.2K]

Answer:

I thınk the ıntıal value ıs $20 and the rate of change ıs $5

Step-by-step explanation:

7 0
3 years ago
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