It cost $2.50 to rent bowling shoes. Each game costs $2.25. You have $9.25. Write and solve an equation to find how many game x
1 answer:
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Answer:
, assuming that the assignment of dormitories is independent from the assignment of dining rooms.
Step-by-step explanation:
Assume that each of the dormitories has equal probability of being chosen.
Probability that Kharleen is assigned to one of the (out of
) dormitories that she likes:
.
In this fraction, the numerator is the number of dormitories that Khareen likes, while the denominator is the number of all possible dormitories.
Similarly, assume that each of the dining rooms have equal probability of being chosen.
Probability that Kharleen is assigned to one of the (out of
) dining rooms that she likes:
.
Similarly, the numerator of this fraction is the number of dining rooms that Khareen likes. The denominator of this fraction is the number of all possible dining rooms.
Assume that the assignment of dormitories and the assignment of dining rooms (two events) are independent.
Hence, the probability of both getting a preferred dormitories (first event) and getting a preferred dining room (second event) would be the product of the probability of the two events:
.
Hence, the probability that Kharleen is assigned to both a dormitory and a dining room that she likes would be under these assumptions.
Answer:
radians per minute.
Step-by-step explanation:
In order to solve the problem you can use the fact that the angle in radians of a circumference is 2π rad.
The clock can be seen as a circumference divided in 12 equal pieces (because of the hour divisions). Each portion is
So, you have to calculate the angle between each consecutive hour (Let ∅ represent it). It can be calculated dividing the angle of the entire circumference by 12.
∅=
Now, you have to find how many pieces of the circumference are between 12 and 4 to calculate the angle (Because 4 o'clock is when the minute hand is in 12 and the hour hand is in 4)
There are 4 portions from 12 to 4, so the angle (Let α represent it) is:
α=
But the answer is asked in radians per minute. So you have to divide the angle by the amount of minutes between the hands of the clock at 4 o'clock.
There are 60 divisions in a clock for representing minutes, therefore in every portion there are:
minutes
So, from the 12 mark to the 4 mark there are 20 minutes
The angle per minute is:
α= rad/min
Notice that the minimum angle is the angle mesured clockwise.