"Correlation does not imply causation<span>" is a phrase used in </span>statistics<span> to emphasize that a </span>correlation<span> between two variables does not imply that one </span>causes the other. Correlation is the relationship between two sets of variables used to describe or predict information. Causation<span>, also known as cause and effect, is when an observed event or action appears to have caused a second event or action.
Hope this helps. :)</span>
Answer:
z - 2*x - 1.5*y = 0 maximize
subject to:
3*x + 5*y ≤ 800
8*x + 3*y ≤ 1200
x, y > 0
Step-by-step explanation:
Formulation:
Kane Manufacturing produce x units of model A (fireplace grates)
and y units of model B
quantity Iron cast lbs labor (min) Profit $
Model A x 3 8 2
Model B y 5 3 1.50
We have 800 lbs of iron cast and 1200 min of labor available
We need to find out how many units x and units y per day to maximiza profit
First constraint Iron cast lbs 800 lbs
3*x + 5*y ≤ 800 3*x + 5*y + s₁ = 800
Second constraint labor 1200 min available
8*x + 3*y ≤ 1200 8*x + 3*y + s₂ = 1200
Objective function
z = 2*x + 1.5*y to maximize z - 2*x - 1.5*y = 0
x > 0 y > 0
The first table is ( to apply simplex method )
z x y s₁ s₂ Cte
1 -2 -1.5 0 0 0
0 3 5 1 0 800
0 8 3 0 1 1200
Answer:
Show an attachment so we can see what you mean.
Step-by-step explanation:
Invested amount in a government bond = $50.
Total returned amount after 1 year =$54.
We need to find the amount of interest earned first.
Amount of intrest earned in a year = Total returned amount after 1 year - Invested amount in the government bond.
Therefore, Amount of intrest earned in a year = $54 - $50.
= $4.
Therefore, earned interest is $4 in an year.
Now, we need to find the intrest rate.
We know the formula,
Plugging values in above formula, we get
Rate of interest = 
Dividing 100 by 50, we get 2.
Therefore, Rate of Interest (ROI) = 8% per year.
Based on the calculation below, the likelihood that if someone died they were a heavy smoker is 42.11%.
<h3>How do we calculate the likelihood of an occurrence?</h3>
Let:
Likelihood that a non-smoker will die = x
Therefore, we have:
Likelihood that a light smoker will die = 2 * x = 2x
Likelihood that a heavy smoker will die= 2 * 2x = 4x
From the above, we have:
Expected number of non smokers that will die = 50% * x = 0.5x
Expected number of light smokers that will die = 30% * 2x = 60%x = 0.6x
Expected number of heavy smokers that will die = 20% * 4x = 80%x = 0.8x
Total expected = 0.5x + 0.6x + 0.8x = 1.9x
Therefore, we have:
Likelihood that a heavy smoker died = Expected number of heavy smokers that will die / Total expected = 0.8x / 1.9x = 0.4211, or 42.11%
Learn more about likelihood here: brainly.com/question/14832179.
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