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Can you give an example of equations when you are given the constant of proportionality?
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The value of f[ -4 ] and g°f[-2] are and 13 respectively.
Given the function;
- f[ -4 ] = ?
- g°f[ -2 ] = ?
For f[ -4 ], we substitute -4 for every variable x in the function.
For g°f[-2]
g°f[-2] is expressed as g(f(-2))
Therefore, the value of f[ -4 ] and g°f[-2] are and 13 respectively.
Learn more about composite functions here: brainly.com/question/20379727
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The empirical rule you're referring to is the 68-95-99.7 rule, which asserts that for a normal (bell-shaped) distribution, approximately 68% of the distribution lies within 1 standard deviation of the mean; 95% lies within 2 standard deviations of the mean; and 99.7% lies within 3 standard deviations of the mean.
Let be the random variable denoting vehicle speeds along this highway. We want to find
. To use the rule, we need to rephrase this probability in terms of the mean and standard deviation.
Notice that , and
. In other words, 61 and 79 both lie exactly 3 standard deviations away from the mean, so
.