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Inessa [10]
2 years ago
6

Find the slope of the line that passes through (8, 3) and (1, 9).

Mathematics
1 answer:
leonid [27]2 years ago
3 0

Answer:

-\frac{6}{7}

Step-by-step explanation:

⇒ m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}

⇒ m = \frac{9 - 3}{1 - 8}

⇒ m = \frac{6}{-7}

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The distribution of the number of transactions performed at a bank each day is approximately normal with mean 478 transactions a
jolli1 [7]

Answer:

e. 0.977

Step-by-step explanation:

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.

In this problem, we have that:

\mu = 478, \sigma = 64

Which of the following is closest to the proportion of daily transactions greater than 350?

This is 1 subtracted by the pvalue of Z when X = 350. So

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

Z = \frac{350 - 478}{64}

Z = -2

Z = -2 has a pvalue of 0.023

1 - 0.023 = 0.977

So the correct answer is:

e. 0.977

6 0
3 years ago
Solve the equation. y + 13 = 10
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The formula c = 5p + 200 relates c, the total cost in dollars of hosting a birthday party at a skating rink, to p, the number of
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20 people can attend


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Which expression is equivalent to16a + 24b?
ivanzaharov [21]
8(2a+3b) \\ 4(4a+6b) \\ 2(8a+12b)
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