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icang [17]
4 years ago
15

A factory manufactures a metal piece in 32 minutes. New technology allowed the factory to cut that time by 8%. Then another impr

ovement cut the time by 5%. How long does it take to manufacture the piece now? Round your answer to the nearest minute
Mathematics
1 answer:
OverLord2011 [107]4 years ago
6 0

Answer:

28 minutes

Step-by-step explanation:

we know that

1) A factory manufactures a metal piece in 32 minutes

2) New technology allowed the factory to cut that time by 8%

Remember that

100\%-8\%=92\%=92/100=0.92

In this part 32 minutes represent the 100%

To find out how long  it take to manufacture the piece, multiply 32 minutes by the factor 0.92

32(0.92)=29.44\ min

3) Then another improvement cut the time by 5%

Remember that

100\%-5\%=95\%=95/100=0.95

In this part 29.44 minutes represent the 100%

To find out how long  it take to manufacture the piece now, multiply 29.44 minutes by the factor 0.95

29.44(0.95)=28\ min

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klio [65]
You have to use the Pythagorean theorem but there is a little twist here since a square has has equal sides. So:
x^2+x^2=8
2x^2=8
2/2x^2=8/2
x^2=4
√x^2=√4
x=2
The side of the square is 2.
So now the area of a square is:
Side×Side
2×2=4
The area of the square is 4 centimetres
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3 years ago
5-|n-1|=-2<br><br> | | stands for absolute value
BlackZzzverrR [31]

Answer:

n = 8 or n = −6

Explanation:

First, isolate the absolute value:

5 − |n − 1| = −2

7 − |n − 1| = 0

7 = |n − 1|

Then, split this into two equations, since the result of the absolute value could be positive or negative:

7 = n − 1                           7 = −(n − 1)

8 = n                                7 = −n + 1

                                       n = −6

4 0
2 years ago
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Step-by-step explanation:

8 0
3 years ago
Which are the better statistics to use to compare the penguin heights?
frozen [14]

Answer:

The correct options are A and B.

Step-by-step explanation:

The Penguin Heights at City view Zoo (in cm) is:

S = {35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45}

Compute the mean and median of the data:

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\text{Median}=[\frac{n+1}{2}]^{th}obs.\\\\=[\frac{11+1}{2}]^{th}obs.\\\\=6^{th}obs.\\\\=40

The mean and median are same.

Tis implies that the height of penguins are normally distributed.

So, either the mean or median could be the best measure of center.

Standard deviation is one of the measure of dispersion or spread of a dataset from the average value of the dataset. The standard deviation measures the absolute variability of the distribution of values.

The higher the spread or variability in the data set, the greater is the standard deviation value and thus greater will be the magnitude of the deviance of the value from their average.

Thus, the correct options are A and B.

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3 years ago
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