Kat is painting the edge of a triangular stage prop with reflective orange paint. The lengths of the edges of the triangle are (
2 answers:
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<u>Answer:</u>
X and Y are stochastically dependent RVs .
<u>Step-by-step explanation:</u>
Let ,
X = sum of the values that come up after throwing n (≥ 1) fare dice.
Y = number of times an odd number come up.
Let, n = 3
then, P(X =6) = p (say) clearly 0 < p < 1
and P (Y = 3) =
And,
P( X = 6, Y = 3) = 0 ≠
Hence, X and Y are stochastically dependent RVs
Answer:
Step-by-step explanation:
We will first need to determine the slope of the line shown.
We know that it passes through the two points (-2, -2) and (1, 4).
Thus, we can use the slope formula to find the slope between the two points:
Let (-2, -2) be (x₁, y₁) and let (1, 4) be (x₂, y₂). Substitute:
Hence, the slope of the original line was 2.
Since we want the new line to be parallel, the slope of the new line must also be 2.
We know that the slope is 2 and it passes through the point (2, 7).
So, we can use the point-slope form:
We will substitute 2 for m. We will also let (2, 7) be (x₁, y₁). Substitute:
Solve for y. Distribute the right:
Add 7 to both sides. Hence, our equation is:
Answer:
Step-by-step explanation:
Equation
5y = 3y + 4
combine like terms 3y becomes negative when moved to the left side being that its positive on the right. 4 has no variable so it stands alone on the right side.
-3y + 5y = 4
After adding a low negative to a high positive number. Turns into 2y.
2y = 4
Divide 2 on both sides to remove the number from the variable on the left.
y =
2 is canceled on the left side which gives the solution for Y.
y = 2