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lidiya [134]
3 years ago
14

A factory is currently running at 85% of its original capacity, and management is considering upgrading the equipment.

Mathematics
1 answer:
Zarrin [17]3 years ago
6 0
I will take the sugestion, so 85 units per month (100 is full capacity)


so while doing maintinance, the 6 months is wasted, 0 ouput, basically 85*6=510 lost

now we have to see how many months x it takes for the output to match

the output that would have been is
510+85x
the output now is 120x
so
510+85x=120x
minus 85x both sides
510=35x
divide both sides by 35
14.57=x
round up
15 months needed
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The population of weights of a particular fruit is normally distributed, with a mean of 464 grams and a standard deviation of 6
igomit [66]

Answer:

If 27 fruits are picked at random, then 2% of the time, their mean weight will be greater than 466.37 grams

Step-by-step explanation:

Mean = \mu = 464

Standard deviation =\sigma = 6

We are supposed to find If 27 fruits are picked at random, then 2% of the time, their mean weight will be greater than how many grams i.e.P(X>x)=0.02

The mean weight is in the highest 2%, you want to go to a z-table and find the z-score that where the area to the left of the curve is closest to 0.98.

n = 27

Refer the z -table

P(Z>x)=2.06

\frac{x-\mu}{\frac{\sigma}{\sqrt{n}}}=2.06\\\frac{x-464}{\frac{6}{\sqrt{27}}}=2.06\\x-464=2.06 \times \frac{6}{\sqrt{27}}\\x=(2.06 \times \frac{6}{\sqrt{27}})+464\\x=466.37

So, If 27 fruits are picked at random, then 2% of the time, their mean weight will be greater than 466.37 grams

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3 years ago
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eduard

Answer:

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3 0
2 years ago
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5 0
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Answer:

Either x = 3, y = 2

or

(3,2) is your answer.

Step-by-step explanation:

2x +y = 8  (1)

y = - x+ 5  (2)

Put equation (2) into equation (1). Use the y value in (2) to go into the y value in (1).

2x - x+5 = 8       Combine the x values

x + 5 =  8            Subtract 5 from both sides

x + 5-5 = 8-5

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Now go back to (2). Put x in for the value of -x. Watch the sign.

y = -3+ 5

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Answer:

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Step-by-step explanation:

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