A = event the person got the class they wanted
B = event the person is on the honor roll
P(A) = (number who got the class they wanted)/(number total)
P(A) = 379/500
P(A) = 0.758
There's a 75.8% chance someone will get the class they want
Let's see if being on the honor roll changes the probability we just found
So we want to compute P(A | B). If it is equal to P(A), then being on the honor roll does not change P(A).
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A and B = someone got the class they want and they're on the honor roll
P(A and B) = 64/500
P(A and B) = 0.128
P(B) = 144/500
P(B) = 0.288
P(A | B) = P(A and B)/P(B)
P(A | B) = 0.128/0.288
P(A | B) = 0.44 approximately
This is what you have shown in your steps. This means if we know the person is on the honor roll, then they have a 44% chance of getting the class they want.
Those on the honor roll are at a disadvantage to getting their requested class. Perhaps the thinking is that the honor roll students can handle harder or less popular teachers.
Regardless of motivations, being on the honor roll changes the probability of getting the class you want. So Alex is correct in thinking the honor roll students have a disadvantage. Everything would be fair if P(A | B) = P(A) showing that events A and B are independent. That is not the case here so the events are linked somehow.
Step-by-step explanation:
Substitute variables with given values
Minus sign becomes plus sign if a negative is multiplied by a negative or a negative is put next to a negative number.
4x-7y=4(-5.2)-7(-6.8)
-20.8+47.6=26.8
Since it is a square, all sides are equal.
Divide the 440 by 4 to find the length of each side.
440/4 = 110 yards
Answer:
88.83
Step-by-step explanation:
To find the mean of a set of numbers is to find the average a set of numbers.
To solve for the mean you have to add all of the values together and divide that sum by the number of values there are.
Ex. 81, 97, 99, 89, 91, 76
81 + 97 + 99 + 89 + 91 + 76 = 533
533 / 6 = 88.83
↓
(number of values)
To find out if a number is prime or composite, divide the number by 2. If it gives no remainder, it is a composite number. Otherwise, it's a prime number.
83 / 2 = 41 R 1
It has a remainder, so it's a prime number.
