I wrote it somewhere else where I can’t copy and paste so hope this works!
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:
1 hr, 48 minutes
Step-by-step explanation:
you can create a proportion:
doughnuts/hours = doughnut/hours (h)
1500/9 = 300/h
cross-multiply to get:
1500h = 2700
h = 27/15
h = 1 12/15, which is 1 hr, 48 minutes because 12/15 = 48/60
- 3 ( x - 1 ) = 18
- or, 3x - 3 = 18
- or, 3x = 18 - 3
- or, 3x = 15
- or, x = 15 ÷ 3
- or, x = 5
<u>Answer</u><u>:</u>
<u>x </u><u>=</u><u> </u><u>5</u>
Hope you could understand.
If you have any query, feel free to ask.
The possible values of x are 3 and 7
<h3>Solving rational expressions</h3>
Given the rational expression below;
√60-8x = x - 9
Square both sides to have:
(60-8x)² = (x-9)²
60-8x = x²-18x+81
Equate to zero to have;
x²-18x+81 - 60 + 8x = 0
x² - 10x + 21 = 0
x² -3x-7x +21 = 0
x(x-3)-7(x-3) = 0
x = 3 and 7
Hence the possible values of x are 3 and 7
Learn more on rational expression here: brainly.com/question/25292194
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