.45x+.55x=200
Combine like terms
1x=200
So x is 100
Or you can do 45%+55%=100%
And 100% of 200 is 200
$2,500 • 7.5% (or 0.075) = $187.50 (for one year).
For two years, the interested added onto the original price is $375 because $187.50 • 2 (years) = $375.
$2,500 + $375 = $2,875
The total of the cost of the surgery and the interest is $2,875.
Hope this helps! ❤️
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:
<A= right
<B= acute
<C= obtuse
<D= acute
Step-by-step explanation:
