one number is 1 more than 2 times another. if their sum is increased by sevan, the result is twenty six

Mathematics

1 answer:

Lady bird [3.3K]3 years ago

7 0

the numbers are 6 and 13

let x be one of the numbers then the other is 2x + 1

their sum increased by 7 = 26

x + 2x + 1 + 7 = 26

3x + 8 = 26

subtract 8 from both sides

3x = 26 - 8 = 18

divide both sides by 3

x = $\frac{18}{3}$ = 6

the numbers are 6 and (2 × 6) + 1 = 12 + 1 = 13

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The daily dinner bills in a local restaurant are normally distributed with a mean of $28 and a standard deviation of $6. What ar

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Answer:

The minimum value of the bill that is greater than 95% of the bills is $37.87.

Step-by-step explanation:

When the distribution is normal, we use 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.

In this question, we have that:

$\mu = 28, \sigma = 6$