Answer:
John has $21.
Step-by-step explanation:
Let John's "wealth" be w. Then 2w+8 = 50, or 2w = 42, or w = 21.
John has $21. Eight more than twice this is 42+8 = 50, as expected.
Answer:
$2611.05
Step-by-step explanation:
earnings = lane rentals + concessions
<u>Friday</u>:
earnings = $842.72 +412.38 = $1255.10
<u>Saturday</u>:
We assume "down by 1/8" means the value was 1 -1/8 = 7/8 that of the previous day. Likewise, "increased by 1/2" is assumed to mean the value was 1 + 1/2 = 3/2 that of the previous day.
earnings = 7/8×$842.72 + 3/2×412.38 = $1355.95
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Then the total earnings for both days were ...
$1255.10 +$1355.95 = $2611.05
Well this is a more complicated question than it may seem.
The laws of probability are based on observations whose number is very large or actually as the number of observations approaches infinity.
So on the one hand, you should be concerned that you get 0/8 to land on 3.
However, 42/500 land on 3 so your ratio has improved.
It's not near 125 but it's also not 0.
If it remained at 0, you would begin to be concerned and rightly so.
Perhaps if you did 5000, you would be less concerned as the ratio improved and got closer to 1/4 of the observations.
So at this point I don't think you have enough information to determine that the spinner is unfair.
You multiply both equations by a factor to get them to have the same X coefficient, the first by 5 and the second by 2, you get 10x-15y=5 and 10x+8y=28. Then you subtract the equations to get 23y=23, y=1, plug y into first equaition, x=2. Answer is (2,1)
