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givi [52]
3 years ago
15

We wish to study the quality of our production line. We take a random sample of 1000 widgets from our line. A quality rating was

determined for each of the 1000 widgets, and the average quality rating in the sample was 4. The sample standard deviation was 0.5. Also, 6 of the 1000 widgets were found to be defective.
Estimate the average quality rating for widgets from our production line, and include the uncertainty in this estimate in the form, a ± b.
Mathematics
1 answer:
mario62 [17]3 years ago
4 0

Answer:

Average quality rating was 4.54+-0.00549

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What is the measurement of BC to the nearest centimeter?
77julia77 [94]

Answer:

a   8

Step-by-step explanation:

You are given two sides and the included angle. Since you don't have any side and the opposite angle, you must use the law of cosines.

a^2 = b^2 + c^2 - 2bc\cos A

a^2 = 5^2 + 11^2 - 2(5)(11)\cos 39^\circ

a^2 = 25 + 121 - 110\cos 39^\circ

a^2 = 60.51

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olga nikolaevna [1]
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3 years ago
what is the value of x in the diagram below? if necessary round your answer to the nearest tenth of a until
VladimirAG [237]

Answer:

C

Step-by-step explanation:

Calculate AC using Pythagoras' identity in ΔABC

AC² = 20² - 12² = 400 - 144 = 256, hence

AC = \sqrt{256} = 16

Now find AD² from ΔACD and ΔABD

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ΔABD → AD² = 12² - x² = 144 - x²

Equate both equations for AD², hence

256 - 400 + 40x - x² = 144 - x²

-144 + 40x - x² = 144 - x² ( add x² to both sides )

- 144 + 40x = 144 ( add 144 to both sides )

40x = 288 ( divide both sides by 40 )

x = 7.2 → C



6 0
3 years ago
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2. <br> NEED HELP ASAP WILL GIVE BRAINLY
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Answer:

47.04 square feet

Step-by-step explanation:

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Now we can see that our fraction is 66.666666666667/100, which means that 4:6 as a percentage is 66.6667%.
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