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Lapatulllka [165]
2 years ago
6

Find the measure of the exterior 1. A. 11° OB. 127° O C. 85° O D. 95°

Mathematics
1 answer:
Marizza181 [45]2 years ago
7 0
Answer: D) 95°

Step-by-Step Solution:

We know that the Exterior Angle of a Triangle = Sum of Opposite Interior Angles of the Triangle.

Therefore,

∠1 = 53° + 42°
=> ∠1 = 95°

Hence, ∠1 = 95°
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Step-by-step explanation:

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There are two machines available for cutting corks intended for use in wine bottles. The first produces corks with diameters tha
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Answer:

a) P(2.9

And we can find this probability with the following difference:

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And we can find this probability with the following difference:

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Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Part a

Let X the random variable that represent the diameters of a population 1, and for this case we know the distribution for X is given by:

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We are interested on this probability

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And the best way to solve this problem is using the normal standard distribution and the z score given by:

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If we apply this formula to our probability we got this:

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And we can find this probability with the following difference:

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Part b

X \sim N(3.04,0.04)  

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And we can find this probability with the following difference:

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Answer:

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Step-by-step explanation:

When simplifying the expression you end up with that.

Hope it helps.

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Step-by-step explanation:

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