Wesley and Mia deposit $800.00 into a savings account which earns 15% interest compounded annually. They want to use the money i
1 answer:
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Answer:
The expected sum of the numbers on the upward faces of the two dice is 7.
Step-by-step explanation:
Consider the provided information.
If two pair of dice tossed the possible out comes are:
(1, 1), (1, 2), (1, 3), (1, 4), (1, 5), (1, 6)
(2, 1), (2, 2), (2, 3), (2, 4), (2, 5), (2, 6)
(3, 1), (3, 2), (3, 3), (3, 4), (3, 5), (3, 6)
(4, 1), (4, 2), (4, 3), (4, 4), (4, 5), (4, 6)
(5, 1), (5, 2), (5, 3), (5, 4), (5, 5), (5,6)
(6, 1), (6, 2), (6, 3), (6, 4), (6, 5), (6,6)
Now we need to find the expected sum of the numbers on the upward faces of the two dice.
The expected sums can be:
Sum: 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12
Prob: 1/36, 2/36, 3/36, 4/36, 5/36, 6/36, 5/36, 4/36, 3/36, 2/36, 1/36
As we know that the expectation of experiment can be calculated as:
Here S represents the numerical outcomes and P(S) is the respective probability.
Substitute the respective values in the above formula.
Hence, the expected sum of the numbers on the upward faces of the two dice is 7.
Answer:
286 students attended
148 non students attended
Step-by-step explanation:
Given
Solving (a): Number of students
Represent students with S and non students with N
So:
--- (1)
--- (2)
Make N the subject of formula in (1)
Substitute 434 - S for N in (2)
Open Bracket
Collect Like Terms
Divide through by -2
<em>Hence; 286 students attended</em>
Solving (b):
Recall that
<em>148 non students attended</em>