Y=-2/5x+1/10=4x+10y=10
y=-3x=3x+y=0
hope these answers help
Answer: Magnum = $2.10
Paddlepop = $1.20
<u>Step-by-step explanation:</u>
Let M represent Magnum and P represent Paddlepop, then create a system of equations using the cost as one equation and the difference in price as the other. Use the elimination method to solve for one of the variables and substitution to solve for the other.
3M + 2P = 8.70 → 1(3M + 2P = 8.70) → 3M + 2P = 8.70
M - P = 0.90 → 2(M - P = 0.90) → <u>2M - 2P = 1.80 </u>
5M = 10.50
M = 2.10
M - P = 0.90
2.10 - P = 0.90
-P = -1.20
P = 1.20
Answer:
Firstly, the moon keeps changing its shape with 4 distinct moon phases that depend on the position of the moon and also on the position of the Earth. The moon orbits around the planet Earth, and the Earth orbits around the Sun.
Step-by-step explanation:
Answer:
Step-by-step explanation:
Percent Error = | Actual Yield-Theoretical/ Theoretical Yield | *100%
Error= |-1/7|*100%= 14.29%
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
