The probability of rolling 1 number, a four, on a 6-sided number cube, is 1/6.
On the second roll, the probability of rolling 1 number, a four, is again 1/6 (remember theoretical probability for one event does not consider previous rolls).
But the probability of rolling a four on 2 on consecutive rolls will be the probability of the first event times the probability of the second event. Think of it as rolling a four on the first time <em>and</em> the second time, and whenever there is "and" you need to multiply the probabilities. The probability of rolling a four on two consecutive rolls is
(1/6)*(1/6) = 1/36.
The answer is (1,-10)
You solve this by equating the two equations:
-x2 -5x -4 = -x2 +9x -18
-14x = -14
x =1
You then substitute 1 to either of the equations to find y:
y = -(1)2 -5(1) -4
y = -10
Therefore, the solution is (1,-10)
Answer:
225°
Step-by-step explanation:
π radians is 180°, so ...
(5/4)·(π radians) = (5/4)·(180°) = 225°
4.258 - 2.012 = 2.246
If by “round to 3 decimal” you mean round to the thousandths, then your answer is 2.246