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1 year ago

Which of the given values are in the interval (-3,1]?

Mathematics

1 answer:

Vladimir [108]1 year ago

6 0

The values coming in the interval (-3,1] are -2, -1, 0, and 1.

<h3>What is defined as the term interval notations?</h3>

An interval is represented on a number line using interval notation. In all other sayings, it is a method of writing real number line subsets.
An interval is made up of numbers that fall between two specific data set.
Intervals can be categorized according to the numbers in the set.

Interval Open: The endpoints of a inequality are not included in this type of interval.
Interval Closure; The endpoints of a inequality are included in this type of interval.
Interval with Half-Open Doors: This interval contains only one of inequality's endpoints.

The given interval notation is;

(-3,1], it is the case of half open half close.

-3 comes with the open interval, it means its value will not be included in the interval.

1 is with the closed interval, it means its value will be included in the interval.

Thus, the values lying between the interval (-3, 1] are -2, -1, 0, and 1.

To know more about the interval notations, here

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1 year ago

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Step-by-step explanation:

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2 years ago

Scores on an exam follow an approximately Normal distribution with a mean of 76.4 and a standard deviation of 6.1 points. What p

klasskru [66]

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99.89% of students scored below 95 points.

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:

$\mu = 76.4, \sigma = 6.1$

What percent of students scored below 95 points?

This is the pvalue of Z when X = 95. So

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

$Z = \frac{95 - 76.4}{6.1}$

$Z = 3.05$

$Z = 3.05$ has a pvalue of 0.9989.

99.89% of students scored below 95 points.

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