Answer:
you should accept the $1,000 bill
Step-by-step explanation:
Given the information:
- $500 for rolling 1 or 2
- $400 for rolling 3
- lose $300 for rolling 4,5,6
P (rolling 1 or 2) = 1/6 + 1/6 = 2/6 = 1/3
P (rolling a 3) = 1/6
P (rolling 4 or 5 or 6) = 3/6 = 1/2
Hence, the expected value for 1 time is:
E = (1/3)*500 + (1/6)*400 - (1/2)*300
E = $166 + $66 - $150
E = $82
Expected value is linear so if you roll the die 10 times, expected value is: 10*82 = $820
The expected value is $82, meaning you should accept the $1,000 bill
Answer: m = 2
Step-by-step explanation:
What we know:
- The slope needs to pass through the points (1, -5) and (4, 1)
- There are 4 potential slopes given to us- only one is correct
- We need to find the slope and make sure it is an option
How to solve:
By using the slope equation and the two points given to us, we can calculate the slope.
Process:
- Set up equation (y2 - y1) / (x2 - x1)
- Substitute (1 +5 ) / (4 - 1)
- Simplify 6 / 3
- Simplest form 2/ 1 =
Slope = 2
Solution: m = 2
<u>The total </u><u>labor cost</u><u> of the carpenters is $2296.91</u>
The carpenters worked 
<h3>Conversion of Fraction</h3>
Let's convert the mixed fraction to improper fraction
So, we would have
- 63/4,
- 61/4,
- 35/2,
- 25/2
- 35/2.
<h3>Working Cost</h3>
Let's sum it up and multiply by the working cost per hour
- The total labor cost is = total hours worked * hourly rate.
This becomes 
<u>The total labor cost is $2296.91</u>
Learn more about rate here;
brainly.com/question/1115815
Y = -5x + 10
Your welcome for the help!
