1. Let <em>y</em> represent the amount of money earned, and <em>x</em> the number of cars they wash. Then
<em>y</em> = 5<em>x</em>
Why? Each car wash costs $5. So no car washes means no earnings; 1 car wash earns $5; 2 washes earn $10; 3 washes earn $15, and so on, so that <em>x</em> car washes generate $5<em>x</em>.
2. No matter how many cars they end up washing, they will have spent $75 to set up the operation, so you subtract 75 from the equation is part (1).
3. Taking into account the setup cost of $75, the profit they make is given by
<em>y</em> = 5<em>x</em> - 75
4. When <em>x</em> = 0, meaning no cars get washed, the profit is -$75, meaning the team loses $75.
5. Set the profit function equal to 0 and solve for <em>x</em> :
5<em>x</em> - 75 = 0
5<em>x</em> = 75
<em>x</em> = 75/5
<em>x</em> = 15
So the team has to wash at least 15 cars to break even.
Answer:
The 75th percentile of this distribution is 11 .25 minutes.
Step-by-step explanation:
The random variable <em>X</em> is defined as the waiting time in line at an ice cream shop.
The random variable <em>X </em>follows a Uniform distribution with parameters <em>a</em> = 3 minutes and <em>b</em> = 14 minutes.
The probability density function of <em>X</em> is:

The <em>p</em>th percentile is a data value such that at least p% of the data-set is less than or equal to this data value and at least (100-p)% of the data-set are more than or equal to this data value.
Then the 75th percentile of this distribution is:


Thus, the 75th percentile of this distribution is 11 .25 minutes.
John has the highest direct labour costs of <span>$1548.80. Obtain the number of hours worked by multiplying the number of hours available by the percentage of time that is not personal time. Obtain the proportion of overhead rate by multiplying the percentage of overhead rate by the rate in dollars per hour. Finally, multiply the two products obtained to get direct labour costs for each individual.</span>
2 1/3 cups of sugar
5 3/4 - 2 1/2
3 1/4 - 2/3
24/ 7 - 8/7
16/7
simplified it is 2 1/3