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MatroZZZ [7]
4 years ago
6

Imagine the graph for the relation 4x-5y+20 = 0. What would be its slope?

Mathematics
1 answer:
muminat4 years ago
4 0
4x - 5y + 20 = 0
<u>             - 20  - 20</u>
        4x - 5y = -20
 4x - 4x - 5y = -20 - 4x
              -5y = -20 - 4x
              <u>-5y</u> = <u>-4x - 20</u>
               -5         -5
                 y = ⁴/₅x + 4
The slope would be ⁴/₅.
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3 years ago
Suppose Z has a standard normal distribution with a mean of 0 and standard deviation of 1. 27% of the possible Z values are grea
inessss [21]

Answer:

27% of the possible Z values are greater than 0.613

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 = 0, \sigma = 1

27% of the possible Z values are greater than

The 100 - 27 = 73rd percentile, which is X when Z has a pvalue of 0.73. So X when the z-score is 0.613.

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

0.613 = \frac{X - 0}{1}

X = 0.613

27% of the possible Z values are greater than 0.613

6 0
3 years ago
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3 0
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Studentka2010 [4]

Answer:

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Step-by-step explanation:

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