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dlinn [17]
3 years ago
10

Please help ASAP pleaseeeeeeeewwe

Mathematics
1 answer:
Arturiano [62]3 years ago
7 0

Answer:

AS = 10\sqrt{41} \\WE = 20\\EN = 25\\Part D = 90 - 10\sqrt{41}

Step-by-step explanation:

AR = 50

AW = WR = EN = 25

RS = 40

RN = NS = WE = 20

AS=\sqrt{(AR)^2+(RS)^2}\\AS=\sqrt{(50)^2+(40)^2} \\AS=\sqrt{2500+1600} \\AS=\sqrt{4100} \\AS=\sqrt{41*100}\\AS = 10\sqrt{41}

AR + RS - AS = 50 + 40 - 10\sqrt{41} \\AR + RS - AS = 90 - 10\sqrt{41}\\AR + RS - AS = 10 (9 - \sqrt{41})

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Answer: The angle's complement is 43°.
               The angle's supplement is 133°.


Remember: complementary angles add up to 90°.
                     supplementary angles add up to 180°.

To find the measure of the angle's complement:
47 + x = 90
x = 43

To find the measure of the angle's supplement:
47 + x = 180
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Step-by-step explanation:

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The manufacturing of a ball bearing is normally distributed with a mean diameter of 22 millimeters and a standard deviation of .
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Answer:

0.1507 or 15.07%.

Step-by-step explanation:

We have been given that the manufacturing of a ball bearing is normally distributed with a mean diameter of 22 millimeters and a standard deviation of .016 millimeters. To be acceptable the diameter needs to be between 21.97 and 22.03 millimeters.

First of all, we will find z-scores for data points using z-score formula.

z=\frac{x-\mu}{\sigma}, where,

z = z-score,

x = Sample score,

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z=\frac{21.97-22}{0.016}

z=\frac{-0.03}{0.016}

z=-0.1875

Let us find z-score of data point 22.03.

z=\frac{22.03-22}{0.016}

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P(-0.1875

P(-0.1875  

P(-0.1875

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