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melomori [17]
3 years ago
7

the measure of an angle is 29 times the measure of its complementary angle. what is the measure of each angle?

Mathematics
1 answer:
Allisa [31]3 years ago
5 0
If they are complementary angles, they should add up to 90 degrees. So set it up as x+29x=90 and then solve. You would get 3 and 87 degrees. Hope this helps!
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The diameters of ball bearings are distributed normally. The mean diameter is 87 millimeters and the standard deviation is 6 mil
devlian [24]

Answer:

69.14% probability that the diameter of a selected bearing is greater than 84 millimeters

Step-by-step explanation:

According to the Question,

Given That, The diameters of ball bearings are distributed normally. The mean diameter is 87 millimeters and the standard deviation is 6 millimeters. Find the probability that the diameter of a selected bearing is greater than 84 millimeters.

  • In a set with mean and standard deviation, the Z score of a measure X is given by Z = (X-μ)/σ

we have μ=87 , σ=6 & X=84

  • Find the probability that the diameter of a selected bearing is greater than 84 millimeters

This is 1 subtracted by the p-value of Z when X = 84.

So, Z = (84-87)/6

Z = -3/6

Z = -0.5 has a p-value of 0.30854.

⇒1 - 0.30854 = 0.69146

  • 0.69146 = 69.14% probability that the diameter of a selected bearing is greater than 84 millimeters.

Note- (The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X)

7 0
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A jar holds no more than 500 buttons. If 5 people bring 330 buttons each, how many jars are necessary to hold all of the buttons
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Answer:

We know

1 jar = 500 buttons

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We can find/solve by...

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total buttons / 500 = number of jars needed

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1650 / 500 = 3.3

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4 jars

Explanation

It's impossible to have 3.3 jars, so you must round up.

Step-by-step explanation:

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