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Snezhnost [94]
2 years ago
10

3(2y-1)-2(2y)=2. what is the answer to this

Mathematics
2 answers:
fredd [130]2 years ago
8 0
Y=5/2 well I think it is
Katen [24]2 years ago
6 0

Answer:

y=5/2

Step-by-step explanation:

1. multiply each terms out seperately .

6y-3-4y=2

2. combine like terms .

6y-4y=2y

2y-3-= 2

add 3 to both sides  in order to get 2y by itself.

2y = 5

3. divide both sides by 2 so the answer is y=5/2.


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An Epson inkjet printer ad advertises that the black ink cartridge will provide enough ink for an average of 245 pages. Assume t
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Answer:

35.2% probability that the sample mean will be 246 pages or more

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 normally distributed samples are 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.

Central Limit Theorem

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For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

In this question, we have that:

\mu = 245 \sigma = 15, n = 33, s = \frac{15}{\sqrt{33}} = 2.61

What the probability that the sample mean will be 246 pages or more?

This is 1 subtracted by the pvalue of Z when X = 246. So

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

By the Central Limit Theorem

Z = \frac{X - \mu}{s}

Z = \frac{246 - 245}{2.61}

Z = 0.38

Z = 0.38 has a pvalue of 0.6480.

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35.2% probability that the sample mean will be 246 pages or more

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