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3 years ago

2(w-1)+8=6(2w-4) please help w=?

Mathematics

1 answer:

sergejj [24]3 years ago

5 0

Answer:

W = 3

Step-by-step explanation:

2(W - 1) + 8 = 6(2w - 4)

2w - 2 + 8 = 12w - 24

2w + 6 = 12w - 24

6 = 10w - 24

30 = 10w

3 = W

Hope this helps. Pls give brainliest.

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The amount of time all students in a very large undergraduate statistics course take to complete an examination is distributed c

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Answer:

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b) The standard deviation is $\sigma = 9$

Step-by-step explanation:

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 zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

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 pvalue, we get the probability that the value of the measure is greater than X.

The probability a student selected at random takes at least 55.50 minutes to complete the examination equals 0.6915.

This means that when X = 55.5, Z has a pvalue of 1 - 0.6915 = 0.3085. This means that when $X = 55.5, Z = -0.5$

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The probability a student selected at random takes no more than 71.52 minutes to complete the examination equals 0.8997.

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$1.28 = \frac{71.52 - \mu}{\sigma}$

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$\sigma = \frac{(71.52 - 55.5)}{1.78}$

$\sigma = 9$

$\mu = 55.5 + 0.5\sigma = 55.5 + 0.5*9 = 55.5 + 4.5 = 60$

Question

The mean is $\mu = 60$

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