Define the events
A = spinning any number but 4 (ie not getting 4)
B = flipping tails
For each event, the probabilities are:
P(A) = 4/5 because there are four numbers that aren't "4" out of five numbers total
P(B) = 1/2 assuming the coin is fair and each side is likely
P(A and B) = P(A)*P(B) is possible because the two events A and B are independent
So,
P(A and B) = P(A)*P(B)
P(A and B) = (4/5)*(1/2)
P(A and B) = (4*1)/(5*2)
P(A and B) = 4/10
P(A and B) = 2/5
The answer as a fraction is 2/5
In decimal form, the answer is 0.4
The mean is the average of a set of numbers.
To find the mean of this data, form a number set by gathering all the numbers.
We need to find the average weekly allowance. To do this, each number in the number set should be the different allowances, and their quantity is the number of students who earned that allowance.
In this case, there would be seven 0s, five 3s, seven 5s, three 6s, and two 8s.
The numbers are:
0, 0, 0, 0, 0, 0, 0, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 8, 8
To find the mean of these numbers, add then together then divide by the total amount of numbers.
This means doing:
(0 + 0 + 0 + 0 + 0 + 0 + 0 + 3 + 3 + 3 + 3 + 3 + 5 + 5 + 5 + 5 + 5 + 5 + 5 + 6 + 6 + 6 + 8 + 8) / 7 + 5 + 7 + 3 + 2
An easier formula could be used by using multiplication.
This would be [7(0) + 5(3) + 7(5) + 3(6) + 2(8)] / 24
This is a lot easier to read!
Now to solve it.
7 • 0 = 0
5 • 3 = 15
7 • 5 = 35
3 • 6 = 18
2 • 8 = 16
0 + 15 + 35 + 18 + 16 = 84
84 / 24 = 3.5
The mean is 3.5, or $3.50
This means that the average weekly allowance amongst these students is $3.50.
Hope this helps!
Answer:
<u>D. Lack of ability</u> because most of the portions came from someone else meaning he couldn't do it on his own.
Step-by-step explanation:
Not A because he was telling the truth in the report
Not B because he took responsibility of actually turning in the report
Not C because greed has to do with money and there was no money involved.