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:
3/2
Step-by-step explanation:
We can use the slope formula to find the slope of the line
m = ( y2-y1)/(x2-x1)
Using the points (0,-4) and (2,-1)
m = ( -1 - -4)/( 2 - 0)
= (-1+4)/ (2 -0)
= 3/2
6 and 1/2= 13/2. 13/2*1/6=13/12 so they spent 1 and 1/12 of an hour on recess
Answer:
59
Step-by-step explanation:
They could buy 59
You solve this by dividing the total amount of money ($2183) by the other amount ($37) which is 59
