Answer:
option D
x≥3
Step-by-step explanation:
Given in the question an inequality
−4x + 2 ≤ −10
rearrange x terms to the left and constant to the right
-4x ≤ −10 - 2
-4x ≤ -12
cancel - on both sides, due to sign change inequality will also be change
4x ≥ 12
x ≥ 12/4
x ≥ 3
So, the solution of the inequality is x ≥ 3, x is greater than or equal to 3.
24x-70
1. Distribute aka mulitply the numbers inside the parenthesis by the numbers to the left of them.
2. Stack them to add them:
18x-30
+6x-70
______
24x-70
check the picture below.
so, the rocket will come back to the ground when h(t) = 0, thus
![\bf h(t)=-3t^2+12t\implies \stackrel{h(t)}{0}=-3t^2+12t\implies 0=-3t(t-4)\\\\[-0.35em]~\dotfill\\\\0=-3t\implies 0=t\impliedby \textit{0 seconds when it took off from the ground}\\\\[-0.35em]~\dotfill\\\\0=t-4\implies 4=t\impliedby \textit{4 seconds later, it came back down}](https://tex.z-dn.net/?f=%5Cbf%20h%28t%29%3D-3t%5E2%2B12t%5Cimplies%20%5Cstackrel%7Bh%28t%29%7D%7B0%7D%3D-3t%5E2%2B12t%5Cimplies%200%3D-3t%28t-4%29%5C%5C%5C%5C%5B-0.35em%5D~%5Cdotfill%5C%5C%5C%5C0%3D-3t%5Cimplies%200%3Dt%5Cimpliedby%20%5Ctextit%7B0%20seconds%20when%20it%20took%20off%20from%20the%20ground%7D%5C%5C%5C%5C%5B-0.35em%5D~%5Cdotfill%5C%5C%5C%5C0%3Dt-4%5Cimplies%204%3Dt%5Cimpliedby%20%5Ctextit%7B4%20seconds%20later%2C%20it%20came%20back%20down%7D)
Answer:
They each will get 1/3
Step-by-step explanation:
Answer:




And then replacing we have this for the expected value:

And after do the math we got:

And then the expected value for this game is -0.79998 a negative result means NOT a win.
Step-by-step explanation:
For this case we can define the random variable X as the amount that we can win. We can find the expected value with the following formula:

And we have the following probabilities and possible values given:




And then replacing we have this for the expected value:

And after do the math we got:

And then the expected value for this game is -0.79998 a negative result means NOT a win.