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faust18 [17]
3 years ago
11

A piece of work takes 20 labourers to complete in 10 days. how many labourers will complete the same job in 25 days if they work

at the same rate?​
Mathematics
1 answer:
horrorfan [7]3 years ago
6 0

Step-by-step explanation:

If 20 labourers=10 days

x labourers = 25 days

10x= 25×20

\frac{10x}{10} =  \frac{25 \times 20}{10}

Cancelling out by 10 on both sides

x = \frac{25 \times 2}{1} \\ x = 50

Therefore, it takes 50 labourers to complete the work at the same rate in 25 days.

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Compute the loss of head and pressure drop in 200 ft of horizontal 6-in diameter asphalted cast iron pipe carrying water with a
laiz [17]

Answer:

The answer is below

Step-by-step explanation:

12 inches = 1 ft.

6 inches = 6 inches * (1 ft./12 inches) = 0.5 ft.

Therefore the diameter of the cast iron (D) = 6 inches = 0.5 ft.

The area of cast iron (A) = πD²/4 = π(0.5)²/4 = 0.196 ft²

The velocity (V) = 6 ft./s, the acceleration due to gravity (g) = 32.2 ft./s²

ε/D = 0.0004 ft./ 0.5 ft. = 0.0008

Using the moody chart, find the line ε/D = 0.0008 and determine the point of intersection with the vertical line R = 2.7 * 10⁵. Hence we get f = 0.02.

The head loss (h) is:

h_f=f*\frac{L}{d}* \frac{V^2}{2g}=0.02*\frac{200\ ft}{0.5\ ft} *\frac{(6\ ft/s)^2}{2*32.2\ ft/s^2}=4.5\ ft

The pressure drop (Δp) is:

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3 years ago
The mail arrival time to a department has a uniform distribution over 5 to 45 minutes. What is the probability that the mail arr
VashaNatasha [74]

Answer:

0.5

Step-by-step explanation:

An uniform probability is a case of probability in which each outcome is equally as likely.

For this situation, we have a lower limit of the distribution that we call a and an upper limit that we call b.

The probability that we find a value X higher than x is given by the following formula.

P(X > x) = \frac{b - x}{b-a}

The mail arrival time to a department has a uniform distribution over 5 to 45 minutes.

This means that a = 5, b = 45.

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P(X > 25) = \frac{45 - 25}{45 - 5} = 0.5

So the probability that the mail arrival time is more than 25 minutes on a given day is 0.5.

8 0
4 years ago
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