Write the coordinates of the vertices after a reflection across the x-axis.

Mathematics

1 answer:

Stells [14]3 years ago

6 0

Answer:

S' (-6, 6)

T' (2, 6)

U' (2, 0)

V' (-6, 0)

Step-by-step explanation:

To reflect the rectangle over the x-axis, think of it as flipping it over the x-axis. On the graph, count the units from V to S, it's 6 units. So, from the x-axis, count 6 units up from V. S would lie on -6, 6. Do the same for W to T. T would lie on (2, 6). The remaining coordinates U and V don't change because it is already on the x-axis.

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<h3>Normal Probability Distribution</h3>

The z-score of a measure X of a normally distributed variable with mean $\mu$ and standard deviation $\sigma$ is given by:

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

The z-score measures how many standard deviations the measure is above or below the mean.

Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.

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$\mu = 700, \sigma = 50$ .

The probability of a month having a PCE between $575 and $790 is the p-value of Z when X = 790 subtracted by the p-value of Z when X = 575, hence:

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$Z = \frac{790 - 700}{50}$