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>
Step-by-step explanation:
Assuming the data is as shown, restaurant X has a mean service time of 180.56, with a standard deviation of 62.6.
The standard error is SE = s/√n = 62.6/√50 = 8.85.
At 95% confidence, the critical value is z = 1.960.
Therefore, the confidence interval is:
180.56 ± 1.960 × 8.85
180.56 ± 17.35
(163, 198)
Restaurant Y has a mean service time of 152.96, with a standard deviation of 49.2.
The standard error is SE = s/√n = 49.2/√50 = 6.96.
At 95% confidence, the critical value is z = 1.960.
Therefore, the confidence interval is:
152.96 ± 1.960 × 6.96
152.96 ± 13.64
(139, 167)
