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nadezda [96]
3 years ago
7

PLS HELP

Mathematics
1 answer:
statuscvo [17]3 years ago
5 0

Answer:

A: x=16

B: ∠A=22

Step-by-step explanation:

A

The angles in a triangle always add up to 180. Therefore:

∠A+∠B+∠C=180

(2x-10)+(3x)+(4x+46)=180

2x+3x+4x+46-10=180

9x=180-36

x=144/9

x=16

B

∠A=2x-10

∠A=2(16)-10

∠A=32-10

∠A=22

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Answer:

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Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the z-score of a measure X is given by:

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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.

Central Limit Theorem

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The average midterm score of students in a certain course is 70 points.

This means that \mu = 70

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This is the pvalue of Z when X = 75. So

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