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maks197457 [2]
1 year ago
8

Workers at a particular mining site receive an average of 35 days paid vacation, which is lower than the national average. The m

anager of this plant is under pressure from a local union to increase the amount of paid time off. However, he does not want to give more days off to the workers because that would be costly. Instead he decides he should fire 10 employees in such a way as to raise the average number of days off that are reported by his employee. In order to achieve this goal, he should... A. fire employees who have the most number of days off B. fire employees who have the least number of days off. C.fire employees who have about the average number of days off
Mathematics
1 answer:
SVETLANKA909090 [29]1 year ago
4 0

Answer:

B

Step-by-step explanation:

The average of paid time off is the sum of the paid time off (T) of each employee divided by the number of employees(n):

av = (∑T)/n

Thus, av is directly proportional to the sum of T and indirectly proportional to n. It means that if T raises, the average raises too. So, the manager must fire the employees who have the least number of days off, so T will increase.

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Determine whether or not the vector field is conservative. if it is conservative, find a function f such that f = ∇f. (if the ve
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A conservative vector field \mathbf f has curl \nabla\times\mathbf f=\mathbf0. In this case,

\nabla\times\mathbf f=12xy^2z(1-z)\,\mathbf j+4yz^2(2z-3x)\,\mathbf k\neq\mathbf 0

so the vector field is not conservative.
3 0
2 years ago
Identify the triangle that contains an acute angle for which the sine and cosine ratios are equal. 1. Triangle A B C has angle m
MAXImum [283]

Answer:

The correct option: (2) Triangle ABC that has angle measures 45°, 45° and 90°.

Step-by-step explanation:

It is provided that a triangle ABC has an acute angle for which the sine and cosine ratios are equal to 1.

Let the acute angle be m∠A.

For the sine and cosine ratio of m∠A to be equal to 1, the value of Sine of m∠A should be same as value of Cosine of m∠A.

The above predicament is possible for only one acute angle, i.e. 45°, since the value of Sin 45° and Cos 45° is,  

                                 Sin\ 45^{o} =Cos\ 45^{o} = \frac{1}{\sqrt{2} }

So for acute angle 45° the ratio of Sin 45° and Cos 45° is:

                                         \frac{Sin\ 45^{o}}{Cos\ 45^{o}} = \frac{\frac{1}{\sqrt{2} } }{\frac{1}{\sqrt{2} } } = 1

Hence one of the angles of a triangle is, m∠A = 45°.

Comparing with the options provided the triangle is,

Triangle ABC that has angle measures 45°, 45° and 90°.

Thus, the provided triangle is a right angled isosceles triangle, since it has two similar angles.

7 0
2 years ago
Triangle ABC and triangle LMN are similar and have the same orientation. The endpoints of the hypotenuse of triangle ABC are A(2
Evgesh-ka [11]

Answer:

thanks for your help and support you in whatever way you can get back

4 0
2 years ago
If four men need $24.00 worth of food for a three-day camping trip, how much will two men need for a two-week trip?
Vitek1552 [10]
$56 because  24 divided by 4 men divided by 3 days=2 times 14 days times 2 men=56
3 0
2 years ago
Read 2 more answers
A commercial jet can fly 868 miles in 2 hours with a tailwind but only 792 miles in 2 hours into a headwind. Find the speed of t
erik [133]

Answer:

The speed of the jet in still air is 415 mph and the speed of the wind is 19 mph

Step-by-step explanation:

we know that

The speed is equal to divide the distance by the time

Let

x -----> the speed of the wind in miles per hour

y ----> the speed of the jet in still air in miles per hour

we know that

<em>With a tailwind</em>

y+x=\frac{868}{2}

y+x=434 ----> equation A

<em>With a headwind</em>

y-x=\frac{792}{2}

y-x=396 ----> equation B

solve the system of equations A and B by elimination

Adds equation A and equation B

y+x=434\\y-x=396\\------\\y+y=434+396\\2y=830\\y=415

<em>Find the value of x</em>

y+x=434

415+x=434

x=434-415

x=19

therefore

The speed of the jet in still air is 415 mph and the speed of the wind is 19 mph

6 0
2 years ago
Read 2 more answers
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