Answer:
112.2
Step-by-step explanation:
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>

<h3>2.

</h3><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>
You can choose from 20 students for the first student, 19 for the second, 18 for the third, ..., 14 for the seventh student.
That gives you 20 * 19 * 18 * 17 * 16 * 15 * 14.
That number would allow you to write the students in different order. Since order here does not matter, any group with the same students in any order is the same group, you need to divide by the number of way you can order 7 items. Divide by 7 * 6 * 5 * 4 * 3 * 2 * 1
(20 * 19 * 18 * 17 * 16 * 15 * 14)/(7 * 6 * 5 * 4 * 3 * 2 * 1) = 77,520
Answer: 77,520
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.
Answer:
x=1
Step-by-step explanation:
6-3x=5x-10x+8=
move all terms to the left:
6-3x-(5x-10x+8)=0
add all the numbers together, and all the variables
-3x-(-5x+8)+6=0
get rid of parentheses
-3x+5x-8+6=0
add all the numbers together, and all the variables
2x-2=0
move all terms containing x to the left, all other terms to the right
2x=2
x=2/2
x=1