Answer:
Malcolm is showing evidence of gambler's fallacy.
This is the tendency to think previous results can affect future performance of an event that is fundamentally random.
Step-by-step explanation:
Since each round of the roulette-style game is independent of each other. The probability that 8 will come up at any time remains the same, equal to the probability of each number from 1 to 10 coming up. That it has not come up in the last 15 minutes does not increase or decrease the probability that it would come up afterwards.
Answer:
Step-by-step explanation:
-5 + (8 x -7)
using PEMDAS, (8 x -7) = -56
so -5 + -56 = -61
The answer is 140.
For every 4 toys the price increases by 20. If you divide, we find that every toy is worth 5. For example, if the amount of toys increases by 10, then the cost increases by 50. Since 20 is the closest given example being only 10 toys away, you can just add 50 onto the cost of the toys to get 140.
Since OC=8 and OC=OF, then OF=8
OEF is a right triangle, so we can find EF using
![OF^2+EF^2=OE^2 \implies OF = \sqrt{OE^2-EF^2}=\sqrt{100-64}=6](https://tex.z-dn.net/?f=OF%5E2%2BEF%5E2%3DOE%5E2%20%5Cimplies%20OF%20%3D%20%5Csqrt%7BOE%5E2-EF%5E2%7D%3D%5Csqrt%7B100-64%7D%3D6)
Now, observe that triangles OEF and OFG are congruent: they are both right triangles, OF is common, and OE=OG because they're both radii.
So, we have
![EG=EF+FG=2EF=2\cdot 6 = 12](https://tex.z-dn.net/?f=EG%3DEF%2BFG%3D2EF%3D2%5Ccdot%206%20%3D%2012)
X equals 125 and y equals 55