Answer:
a) b) the standard deviation and the mean is affected by the conversion factor as well
c) the mean is displaced by b units
Step-by-step explanation:
for a new variable
Y=a*X , where a= constant (conversion factor= 1 kg/2.2 pounds)
then
p(y)= p(a*X) = p(X)
a) mean =μ=E(Y)= ∑ a*X*p(y) = a ∑ X*p(x) = a* E(X)
mean =μ=a*μₓ
b) σ² = ∑ (Y-μ)²* p(y) = ∑ (a*X-a μₓ)²* p(y) = a²*∑ (X-μₓ)²* p(x) = a²*σₓ²
then
standard deviation = σ= √σ²=√(a²*σₓ²) = a*σₓ
standard deviation = σ= a*σₓ
then the standard deviation and the mean is affected by the conversion factor as well
c) nevertheless for a displacement b
Y₂=X + b (b= constant= 50 gr)
p(Y₂)= p(X + b) = p(X)
then
mean =μ=∑ (X-b)*p(y)=∑ X*p(x)- b ∑ p(x) = E(X) -
mean =μ=μₓ - b
then the mean is displaced by b units
Answer:
f(x)=-13
Step-by-step explanation:
Substitute x with -2
4 times -2 is -8
-8-5 is -13
Thus f(x)=-13
Hope this helps!
Find the circumference:
Circumference = 2 x pi x radius
Circumference = 2 x 3.14 x 9 = 56.52 inches
the arc length is 45 degrees/360 degrees of the circumference.
Marc length = 56.52 x 45/360 = 7.065 inches
Rounded to the nearest tenth = 7.1 inches
Answer:
y
=
3
2x
−
5
Step-by-step explanation:
Answer: 8 and 10 Step-by-step explanation: Consecutive means right beside. For example, the consecutive of 4 is 5 and 3. Since it's asking for EVEN integers, you need to add 2 to the x... for example, the nearest consecutive even number to 4 is 6 (you add 2). Then, solve like normal!
