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3 years ago

Use the graph to evaluate the step function at x =3

Mathematics

1 answer:

BabaBlast [244]3 years ago

3 0

Answer:

Step-by-step explanation:

To evaluate the value of the function at 3, draw vertical line $x=3,$ and find the point of intersection of this line with the graph of the given function.

You can see that the vertical line has two common points with the graph: (3,5) and (3,7). The first point (3,5) is solid (filled), so this point belongs to the graph and it is the point of intersection. The second point (3,7) is open point (not filled), so this point does not belong to the graph, so it cannot be the point of intersection.

Hence,

$f(3)=5$

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3 years ago

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3 years ago

Read 2 more answers

A set of exam scores is normally distributed and has a mean of 80.2 and a standard deviation of 11. What is the probability that

ZanzabumX [31]

Answer:

93.32% probability that a randomly selected score will be greater than 63.7.

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:

$\mu = 80.2, \sigma = 11$