Answer:
x = 20
Step-by-step explanation:
If two lines are cut by a transversal and the corresponding angles are congruent, the lines are parallel.
Answer:
The expected number of days until prisoner reaches freedom is 12 days
Step-by-step explanation:
From the given information:
Let X be the random variable that denotes the number of days until the prisoner reaches freedom.
We can evaluate E(X) by calculating the doors selected, If Y be the event that the prisoner selects a door, Then;
E(X) = E( E[X|Y] )
E(X) = E [X|Y =1 ] P{Y =1} + E [X|Y =2 ] P{Y =2} + E [X|Y =3 ] P{Y =3}
![E(X) = (2 + E[X])\dfrac{1}{2}+ (4 + E[X])\dfrac{3}{10}+ 1 (\dfrac{2}{10})](https://tex.z-dn.net/?f=E%28X%29%20%3D%20%282%20%2B%20E%5BX%5D%29%5Cdfrac%7B1%7D%7B2%7D%2B%20%284%20%2B%20E%5BX%5D%29%5Cdfrac%7B3%7D%7B10%7D%2B%201%20%28%5Cdfrac%7B2%7D%7B10%7D%29)
![E(X) = (2 + E[X])0.5+ (4 + E[X])0.3+ 0.2](https://tex.z-dn.net/?f=E%28X%29%20%3D%20%282%20%2B%20E%5BX%5D%290.5%2B%20%284%20%2B%20E%5BX%5D%290.3%2B%200.2)
Solving for E[X]; we get
E[X] = 12
Answer:
there are two complex roots
Step-by-step explanation:
Recall that for a quadratic equation
y = ax² + bx + c
the solution given by the quadratic formula is
x = ( -b ± √discriminant) / 2a
if the discriminant is negative, the radical term will become √ (negative number), which we know gives complex solutions. Hence we can eliminate real roots as possible answers.
Also notice that the "±" sign in the quadratic formula means that you will get 2 possible solutions:
x = ( -b + √discriminant) / 2a
or
x = ( -b - √discriminant) / 2a
Hence we know we will get 2 solutions.
Combining our findings, we can conclude that if the discriminant is negative, we will get 2 complex roots.
I think that O would be greater because the last numbers listed are 100 and 101 and O has the ending value of 101, which is greater than 100, so it only makes sense that O would be a greater number than E.
Hope this helps! ;)
