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klemol [59]
2 years ago
15

Abdullah is a quality control expert at a factory that paints car parts. He knows that 20\ , percent of parts have an error in t

heir painting. He recommended a change in the painting process, and he wanted to see if this error rate had changed. He took a random sample of 400400400 parts painted in a month and found that 606060 had an error.
Mathematics
1 answer:
-Dominant- [34]2 years ago
3 0

The error rate has decreased after changing the painting process.

<u>Step-by-step explanation:</u>

Abdulla knows that 20 percent of the parts have an error in their painting. After suggesting changes in painting process, he wants to know whether the error rate has changed.

Number of parts in the random sample=400400400

Number of parts that had an error=606060

We have to determine what percentage of 400400400 is 606060

606060=x/100 \times 400400400\\=0.15%

After changing the painting process 0.15% of parts have error.

The previous percentage was 20.Hence the error rate has clearly changed.

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What is the growth factor associated with the following growth rate: 30% decrease
fenix001 [56]

Given:

Growth rate = 30% decrease

To find:

The growth factor associated with the given growth rate.

Solution:

The general exponential function is:

y=a(1+r)^x

y=a(b)^x

Where, a is the initial value, r is the growth rate in decimal and b=1+r is the growth factor.

It is given that the growth rate is 30% decrease. So,

r=-30\%

r=-\dfrac{30}{100}

r=-0.3

Now,

b=1+r

b=1+(-0.3)

b=1-0.3

b=0.7

Therefore, the growth factor is 0.7.

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2 years ago
PLEASE HELP !
adell [148]
First what you wanna do is get y by it’s self. To do that is to first add 5 on each side.

-5+3y=-4
+5 +5

3y= 1

Than you divide 3 on each side and it would give you y=1/3 if it’s a fractions problem but if you looking for decimals you would have to divide 1 by 3 which gets you .33333333.
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2 years ago
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3 years ago
The curves y = √x and y=(2-x) and the Cartesian axes form two distinct regions in the first quadrant. Find the volumes of rotati
makkiz [27]

Answer:

Step-by-step explanation:

If you graph there would be two different regions. The first one would be

y = \sqrt{x} \,\,\,\,, 0\leq x \leq 1 \\

And the second one would be

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If you rotate the first region around the "y" axis you get that

{\displaystyle A_1 = 2\pi \int\limits_{0}^{1} x\sqrt{x} dx = \frac{4\pi}{5} = 2.51 }

And if you rotate the second region around the "y" axis you get that

{\displaystyle A_2 = 2\pi \int\limits_{1}^{2} x(2-x) dx = \frac{4\pi}{3} = 4.188 }

And the sum would be  2.51+4.188 = 6.698

If you revolve just the outer curve you get

If you rotate the first  region around the x axis you get that

{\displaystyle A_1 =\pi \int\limits_{0}^{1} ( \sqrt{x})^2 dx = \frac{\pi}{2} = 1.5708 }

And if you rotate the second region around the x axis you get that

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And the sum would be 1.5708+1.0472 = 2.618

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3 years ago
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