Answer:
The equation of the circle is given by:
(x-a)^2+(y-b)^2=r^2
where:
(a,b) is the center of the circle
given that the center of our circle is (2,3) with the radius of 5, the equation will be:
(x+2)^2+(y+3)^2=5^2
expanding the above we get:
x^2+4x+4+y^2+6y+9=25
this can be simplified to be:
x^2+4x+y^2+6y=25-13
x^2+y^2+4x+6y=12
40/50= 0.8
293/1000=0.293
Step-by-step explanation:
40/50
= 0.8
293/1000
Since the zeros are three,move three times from backwards to forward.
=0.293.
Hope it's useful.
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Answer:
-0.0526
Step-by-step explanation:
Let X be the random variable denoting the net gain(in dollars) for a single trial(one bet).
Assuming that each number in the wheel is equally likely, probability of the outcome being a victory is
and probability of failure is
. For a win, X takes value 35 and for a loss X takes value -1. So the model is,
![P(X=35) = \frac{1}{38}](https://tex.z-dn.net/?f=%20P%28X%3D35%29%20%3D%20%5Cfrac%7B1%7D%7B38%7D%20)
![P(X=-1) = \frac{37}{38}](https://tex.z-dn.net/?f=%20P%28X%3D-1%29%20%3D%20%5Cfrac%7B37%7D%7B38%7D%20)
![P(X=i) = 0 \;if\; i \neq 38, i\neq -1](https://tex.z-dn.net/?f=%20P%28X%3Di%29%20%3D%200%20%5C%3Bif%5C%3B%20i%20%5Cneq%2038%2C%20i%5Cneq%20-1%20)
The mean for one bet is ![E(X) = \sum xP(X=x) = 35\times\frac{1}{38} - 1\times\frac{37}{38} = -0.0526](https://tex.z-dn.net/?f=%20E%28X%29%20%3D%20%5Csum%20xP%28X%3Dx%29%20%3D%2035%5Ctimes%5Cfrac%7B1%7D%7B38%7D%20-%201%5Ctimes%5Cfrac%7B37%7D%7B38%7D%20%3D%20-0.0526%20)
Answer:
C. (1,18)
Explanation
If you don’t know how to find it, just plug in the values into the equation until they are equal to each other