Answer:
The mean and standard devaition of W are 6 and 31 respectively.
Step-by-step explanation:
Given that:
W = 7 + 2X
Variance (W) = Variance(7 + 2X)
For a term constant term, the variance is zero.
So;
W = 4 × Var(X)
W = 4 × (SD (X))²
W = 4 × (3)²
W = 4 × 9
W = 36
Thus, Variance (W) = 36
The standard deviation of W =
W =
W = 6
Also;
E(W) = E(7 +2 X)
E(W) = 7 + 2 × E(X)
where;
mean X = 12
E(W) = 7 + 2(12)
E(W) = 31
Thus, the mean and standard devaition of W are 6 and 31 respectively.
14/16 divided by 2/2= 7/8
The simplest form of 14/16 is 7/8.
Hope this helps!
Answer:
The average rate of change = 4
Step-by-step explanation:
Given the function
x₁=-2, x₂=4
f(x₁) = f(-2) = 2x²-4 = 2(-2)²-4 = 8-4 = 4
f(x₂) = f(4) = 2x²-4 = 2(4)²-4 = 32-4 = 28
The average rate of change = f(x₂) - f(x₁) / x₂ - x₁
= (28-4)/(4-(-2))
= 24/6
= 4
Thus, the average rate of change = 4
Answer:
<em>Any incident ray traveling parallel to the principal axis on the way to the mirror will pass through the focal point upon reflection. Any incident ray passing through the focal point on the way to the mirror will travel parallel to the principal axis upon reflection.</em>
Step-by-step explanation:
Answer:
Step-by-step explanation: