Find the distance between the two points in simplest radical form. (4, -3) and (-1, -9)
2 answers:
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Answer:
<h3>A. ( x - 2 )( x - 3 )(x + 4 )</h3><h3>Step-by-step explanation:</h3><h3>x³ - x² - 14x + 24</h3><h3>1. Use the rational root theorem</h3>= ( x - 2 )( x² + x - 12 )
<h3>3. Factor x² + x - 12 : ( x -3 )( x + 4)</h3>= ( x - 2 )( x - 3 )(x + 4 )
<h3>Solution : </h3><h3>= ( x - 2 )( x - 3 )(x + 4 )</h3>
Answer:
99.7% of customers have to wait between 8 minutes to 30 minutes for their food.
Step-by-step explanation:
We are given the following in the question:
Mean, μ = 18 minutes
Standard Deviation, σ = 4 minutes
We are given that the distribution of amount of time is a bell shaped distribution that is a normal distribution.
Empirical Formula:
- Almost all the data lies within three standard deviation from the mean for a normally distributed data.
- About 68% of data lies within one standard deviation from the mean.
- About 95% of data lies within two standard deviations of the mean.
- About 99.7% of data lies within three standard deviation of the mean.
Thus, 99.7% of the customers have to wait:
Thus, 99.7% of customers have to wait between 8 minutes to 30 minutes for their food.