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solong [7]
3 years ago
15

In one company, 20% of the workers in the technical department applied for vacation at the same time. If 12 workers applied for

vacation, how many tech workers are there, altogether?
Mathematics
1 answer:
FinnZ [79.3K]3 years ago
6 0

Answer:

There are 60 tech workers altogether

Step-by-step explanation:

Let X be the total number of tech workers in the company

Out of X tech employees, 20 % applied for leaves

In totality, 12 tech employees are on leave

Thus,

\frac{20}{100} * X = 12

On solving the above mathematical equation, we get -

X = \frac{12*100}{20} \\X = 60

Hence, there are 60 tech workers altogether

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aliya0001 [1]

Answer:

3.6661

3.6661

A, Adding a constant does nothing to the standard deviation

Step-by-step explanation:

I'm gonna assume s=standard deviation

The standard deviation is just the square root of the second moment minus the first moment squared

Because we were not told otherwise I think it's pretty safe to assume that all events are equally likely

Let's start by calculating the first moment (AKA The mean)

1/5(8+16+14+8+16)= 12.4

Let's then find the second moment

1/5(8²+16²+14²+8²+16²)= 167.2

√(167.2-12.4²)=3.6661

b.

While I could just tell you that adding something to the standard deviation (and the variane as well) doesn't do anything let's calculate it for fun

same process

.2(16+24+22+16+24)= 20.4

.2(16²+24²+22²+16²+24²)=429.6

√(429.6-20.4²)= 3.6661

6 0
3 years ago
Stuart bought a sweater on sale for 30% off the original price and another 25% off the discounted price. If the original price o
Oksanka [162]

Answer:

$15.75

Step-by-step explanation:

30 multiplied by 0.3 is 9. 30-9 is 21. 21 multiplied by 0.25 is 5.25. 21-5.25 is 15.75

7 0
3 years ago
Find the slope of the line that passes through the points (­-8, ­-3) and (2, 3)
Artyom0805 [142]

Answer:

c

Step-by-step explanation:

Calculate the slope m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (- 8, - 3) and (x₂, y₂ ) = (2, 3)

m = \frac{3+3}{2+8} = \frac{6}{10} = \frac{3}{5} → c

8 0
3 years ago
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andreyandreev [35.5K]

Answer:

12s - 16t

Step-by-step explanation:

2(3s + t) + 2(3s - 9t)

6s + 2t + 6s - 18t

12s + 2t - 18t

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3 0
3 years ago
Which model represents the product 3/4 x 1/3
dlinn [17]

Answer:

The first one

Step-by-step explanation:

5 0
3 years ago
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