Answer:the floor area of the production line is 20000 m^2
Step-by-step explanation:
Let x represent the total area of the factory.
In the factory, two thirds of the floor are is taken up by the production line. This means that the area of the production line is 2/3 × x = 2x/3 m^2
The remaining floor area would be
x - 2x/3 = x/3 m^2
Out of the remaining floor area,three fifths is taken up by the office space. This means that the area taken up by the office space would be 3/5 × x/3 = x/5 m^2
The remaining area would be
x/3 - x/5 = 2x/15
The rest is warehouse space. The warehouse space occupies 2000m2. This means that
2x/15 = 2000
2x = 15 × 2000 = 30000
x = 30000/2 = 15000m^2
The floor area of the production line would be
(2 × 30000)/3 = 20000 m^2
So we have
2 choices for cloth
3 choices for leather
2 choices for cloth
we have to multiply each individually
we just add them
3 leather+2 cloth=5 choices
she is wrong
because the asnwer is 5
Answer:
The co variance of the midterm and final exam scores is 58.76.
Step-by-step explanation:
The formula to compute the sample co variance is:

The values are computed in the table below.
Compute the co variance as follows:

Thus, the co variance of the midterm and final exam scores is 58.76.
Answer:
$996
Step-by-step explanation:
The rectangular plot has an area that is the product of its length and width. We are given the width as 12 feet, and the area as 240 ft², so we can find the length from ...
... A = L×W
... 240 ft² = L×(12 ft)
... 240 ft²/(12 ft) = L = 20 ft
Opposite sides of the rectangle are the same length, so the cost of fence for a side of a given length will be the sum of the costs of the opposites sides.
The 12 ft side has one segment that is $18 per foot, and one that is $15 per foot. For the 20 ft sides, both are $15 per foot. Then the total cost can be figured from ...
... (12 ft)·($18/ft + $15/ft) + (20 ft)·($15/ft +$15/ft) = 12·$33 +20·$30 = $996