We assume the probability on each side is equally probable with probability 1/5.
sum=4 has outcomes:{1,4; 2,3; 3,2; 4,1} 4 possible outcomes
sum=8 has outcomes:{3,5; 4,4; 5,3} 3 possible outcomes.
Total possible outcomes = 5*5=25
there probability of rolling a sum of 4 or 8, by the law of addition, equals
4/25+3/25=7/25
Note: a regular (i.e. fully symmetric) five-sided solid does not exist, so there has to be asymmetry among the probabilities of the five possible outcomes. In addition, it does not have a "top" face, so that makes rolling a five-sided solid a little more difficult to visualize.
They are opposites. since |-3| has the lines around it, this represents absolute value, which is not positive or negative but how far away the value is from 0. the plain -3 remains the same. |-3| is 3, because it is 3 units away from 0 on the number line.
Answer: 55x + 75 = 350; 5 hours
Step-by-step explanation:
What we know:
- A flat fee is $75
- John charges $55 an hour
- The total charge is $350
We need to write an equation to find how many hours John works.
<em>x </em>will represent hours worked.
55x + 75 = 350
We now need to solve for x.
Subtract 75 from both sides.
55x + 75 - 75 = 350 - 75
Simplify.
55x = 275
Divide 55 from both sides.
55x/55 = 275/55
Simplify.
x = 5
John worked 5 hours.
To check our work, we just plug in our x value!
55(5) + 75
275 + 75 = 350
Check the answer below its correct(or above)
