The expectation value is simply obtained by multiplying the probability of each outcome by each possible value. These are then summed for each outcome to obtain the expectation value. In the board game, if there is a 60% chance that you will move 4 spaces forward (+4) and a 40% chance that you will move back 2 spaces then expected value for number of spaces is (0.6 x 4) + (0.4 x -2) = 2.4 - 0.8 = 1.6 spaces.
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Answer:
y = 11.
Step-by-step explanation:
Set both of the equations equal:
5x - 9 = x² - 3x + 7
Rearrange the equation:
0 = x² - 3x - 5x + 9 + 7
Combine like terms:
0 = x² - 8x + 16
Factor:
0 = (x -4)²
Solve for x:
0 = x - 4
x = 4.
Plug this into an equation to solve for 'y':
y = 5(4) - 9
y = 20 - 9
y = 11.
15.6 kilometers rounded down because it is not safe to go above what has been approved
Answer:
Here is the answer
Step-by-step explanation:
Apples in 1 baskets=100
Apples in 64 baskets=100*64-6400
apples (before adding 30 apples in each
basket).... ..(1)
Some apples left unpacked
So he added 30 apples to each
Total apples added by him- 30*64(in each basket*no of baskets)
= 1920 apples
.(2)
So total no apples eq(1)+eq(2)
= 6400 apples + 1920 apples
=8320 apples packed in total
Therefore the total no. of apples packed were 8320 apples.
Hope this helps
Thanks