Answer:
<h2>x = 3 and y = 6 → (3, 6)</h2>
Step-by-step explanation:
![\left\{\begin{array}{ccc}2x-y=0&\text{add y to both sides}\\3x-2y=-3\end{array}\right\\\\\left\{\begin{array}{ccc}2x=y&\to y=2x&(1)\\3x-2y=-3&&(2)\end{array}\right\\\\\\\text{Substitute (1) to (2):}\\\\3x-2(2x)=-3\\3x-4x=-3\\-x=-3\qquad\text{change the signs}\\\boxed{x=3}\\\\\text{Put the value of x to (1)}:\\\\y=2(3)\\\boxed{y=6}](https://tex.z-dn.net/?f=%5Cleft%5C%7B%5Cbegin%7Barray%7D%7Bccc%7D2x-y%3D0%26%5Ctext%7Badd%20y%20to%20both%20sides%7D%5C%5C3x-2y%3D-3%5Cend%7Barray%7D%5Cright%5C%5C%5C%5C%5Cleft%5C%7B%5Cbegin%7Barray%7D%7Bccc%7D2x%3Dy%26%5Cto%20y%3D2x%26%281%29%5C%5C3x-2y%3D-3%26%26%282%29%5Cend%7Barray%7D%5Cright%5C%5C%5C%5C%5C%5C%5Ctext%7BSubstitute%20%281%29%20to%20%282%29%3A%7D%5C%5C%5C%5C3x-2%282x%29%3D-3%5C%5C3x-4x%3D-3%5C%5C-x%3D-3%5Cqquad%5Ctext%7Bchange%20the%20signs%7D%5C%5C%5Cboxed%7Bx%3D3%7D%5C%5C%5C%5C%5Ctext%7BPut%20the%20value%20of%20x%20to%20%281%29%7D%3A%5C%5C%5C%5Cy%3D2%283%29%5C%5C%5Cboxed%7By%3D6%7D)
Answer:
Step-by-step explanation:
how stressed are you? if it goes up that means you are more stressed if it goes down you are less stressed for example mine would be the 3rd answer because my week has been pretty normal. someone who just started school and has a lot of work might be the 1st one. my explanation would be i have gotten somewhat stressed due to school but not too much. elaborate more than me tho lol hope this helps :)
Answer:16x-6
Step-by-step explanation:4(4x-1) distributed is 16x-6
Question has missing details (Full question below)
Measurement error that is continuous and uniformly distributed from –3 to +3 millivolts is added to a circuit’s true voltage. Then the measurement is rounded to the nearest millivolt so that it becomes discrete. Suppose that the true voltage is 219 millivolts. What is the mean and variance of the measured voltage
Answer:
Mean = 219
Variance = 4
Step-by-step explanation:
Given
Let X be a random variable measurement error.
X has a discrete uniform distribution as follows
a = 219 - 3 = 216
b = 219 + 3 = 222
Mean or Expected value is calculated as follows;
E(x) = ½(216+222)
E(x) = ½ * 438
E(x) = 219
Variance is calculated as follows;
Var(x) = ((b-a+1)²-1)/12
Var(x) = ((222-216+1)²-1)/12
Var(x) = (7²-1)/12
Var(x) = 48/12
Var(x) = 4