Let x be the number of hours ling work on monday.
We know that she worked three more hours on tuesday that in monday, this can be express as :
We also know that in wednesday she worked on more hour than twice the number on mondays, this can be expressed as:
The total number of hours she worked this three days in two more than five the number of hours she worked on monday, this can be express as :
Now , once we have all the expressions we add the expressions of the days and equate them to the total
Now we solve the equation
Therefore , she worked 2 hours on monday.
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Answer: a) P = 0.5, b) P = 0.07
Step-by-step explanation:
Hi!
Lets call X₁ the time at which you arrive, and X₂ the time at which Bob arrives. Both are random variables with uniform density in the interval [0, 60] (in minutes). Their joint distribuition is uniform over the square in the image, with value P = 1/(60*60) = 1/3600.
a) For you to get more cake than Bob, you should arrive earlier. This event is A = { X₁ < X₂ }, the shaded triangle in the figure.The area of this event (set) is half the total area of the square, so P(A) = 0.5.
It makes sense, beacuse its equally probable for you or Bob to arrive earlier, as both have uniform density over the time interval.
b) In this case you arrive later than Bob, but less than 5 minutes later. So the event is B = { X₂ < X₁ < (X₂ + 5) } . This is the gray shaded area in b) part of the image. Its area is the difference two triangles (half square - blue triangle), then the probability is:
It is a ratio problem...
2 dogs need 144 feet = 2 : 144
Simplify the ratio = 1 : 72
Multiply both sides by 8 (8 dogs) = 1*8 :144*8
Simplify the ratio = 8 : 1152
8 dogs need 1152 feet of fencing
Hope this helps!
Answer: none of the above
Step-by-step explanation:
this is complementary angle meaning two angles have to add up to 90 degrees.
the only answer is 45 degrees which is not listed as an option so it is none of the above
