Answer:
1/6
Step-by-step explanation:
In an experiment, the probability that event A occurs is 1/6
, the probability that event B occurs is 1/2 and the probability that events A and B both occur is 1/12 Are A and B independent events?
2a because you are added the same thing together... making it 2a
Answer:
225 feet farther.
Step-by-step explanation:
This question can be solved using rules of three.
Up the river in 5 minutes:
You kayak up a river at a rate of 192 feet every 2 minutes. That is, a rate of 192/2 = 96 feet per minute.
So in 5 minutes, you will kayak 96*5 = 480 feet up the river.
Down the river in 5 minutes:
You kayak down a river at a rate of 423 feet every 3 minutes. That is, a rate of 423/3 = 141 feet per minute.
So, in 5 minutes, you will kayak 141*5 = 705 feet down the river.
How much farther do you kayak in 5 minutes on the way down the river than in 5 minutes on the way up the river.
706 - 480 = 225 feet farther.
Answer:
Step-by-step explanation:
The Total Cost formula for the Dealership is
$24 + ($99/hr)h, where h represents the number of hours of labor performed.
That for the Local Mechanic is
$45 + ($89/hr)h
We equate these two formulas so as to determine h, the number of hours elapsed so that the total costs are the same:
24 + 99h = 45 + 89h
Combining like terms, we get:
21 = 188h
Solve for h by dividing both sides by 188:
h = 188/21 = 8.95
The two bills would be equal 8.95 hours after commencement of the work.
<em>Part b</em>:
Dealership: $24 + ($99/hr)h. Evaluate this at 8.95 hrs: $910.05.
The dealership's bill would be more expensive AFTER 8.95 hours, because the rate of change ($99/hr) is greater in that case.
The local mechanic's total bill would be less up until the time that the car has been worked on for 8.95 hours.
$24 + ($99/hr)(8.95 hr) =
Answer:
<em>Total Cost of Week = 81.20 Euros</em>
<em>Total Cost of Week (in dollars) = $102.31</em>
Step-by-step explanation:
117 km per day
You drive 7 days
So,
Total miles driven = 117 * 7 = 819 km
Mileage is 42 miles per gallon. <em>So how many gallons would it require to drive 819 km?</em>
819/42 = 19.5 gallons
We know 1 gallons = 3.78 liters
So,
19.5 gallons would be:
19.5 * 3.78 = 73.82 liters
1.10 Euro PER LITER, so the total cost:
<u>Total Cost of Week = 73.82 * 1.10 = 81.20 Euros</u>
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In dollars (1 euro = 1.26 dollars):
<u>Total Cost of Week (in dollars) = 81.20 * 1.26 = $102.31</u>