What is the rate of change for the linear function f(x)=-2x-5 over any interval?
1 answer:
To solve this problem you must apply the proccedure shown below:
1. By definition, the rate of change of a linear function is the slope of the line and it is constant. Based on this, you must find the slope of the given function.
2. You have the equation of the line has the following form:
Where is the slope and
is the y-intercept.
3. Then, you have that the slope of the function is:
Therefore, the answer is:
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Using the normal distribution, it is found that she scores less than 128 in 28.1% of her games.
<h3>Normal Probability Distribution</h3>The z-score of a measure X of a normally distributed variable with mean and standard deviation
is given by:
- 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.
In this problem, the mean and the standard deviation are given, respectively, by .
The proportion of games in which she scores less than 128 is the <u>p-value of Z when X = 128</u>, hence:
Z = -0.58
Z = -0.58 has a p-value of 0.281.
She scores less than 128 in 28.1% of her games.
More can be learned about the normal distribution at brainly.com/question/24663213
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