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bulgar [2K]
4 years ago
11

The price of a notebook was

Mathematics
1 answer:
vagabundo [1.1K]4 years ago
5 0
3.35 - 3.10 = .25

.25/3.35 = .0746

.0746*100 = 7.46 or 7.5 rounded
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x = 24

Step-by-step explanation:

In order to solve for x, you need to isolate it on one side of the equal sign. So in this case you need to multiply both sides by 4, in order to cancel the dividing factor 4 that appears in the denominator :

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4 years ago
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The probability that the sample proportion will be less than 0.05 is 0.80511.

Step-by-step explanation:

We are given that a courier service company wishes to estimate the proportion of people in various states that will use its services.

Suppose the true proportion is 0.04 and 349 are sampled.

<u><em>Let </em></u>\hat p<u><em> = sample proportion</em></u>

The z score probability distribution for sample proportion is given by;

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where, \hat p = sample proportion

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Now, the probability that the sample proportion will be less than 0.05 is given by = P( \hat p < 0.05)

         P( \hat p < 0.05) = P( \frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } } < \frac{0.05-0.04}{\sqrt{\frac{0.05(1-0.05)}{349} } } ) = P(Z < 0.86) = 0.80511

<em>The above probability is calculated by looking at the value of x = 0.86 from the z table which has an area of 0.80511.</em>

Hence, the probability that the sample proportion will be less than 0.05 is 0.80511.

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