One key advantage of including multiple predictors in the regression equation is that it can detect the extent to which two or more predictor variables interact. In the multiple regression, it can define situations in which one variable or the predictor variable is used to predict another variable which the criterion variable. While a single variable can be used to make accurate predictions, many behaviors are often too complex to be represented by a simple linear equation. That is often the changes in a single predictor variable do not allow to accurately predict changes in a criterion variable. Predictions of many behaviors improve when it considers more information in predictor variable. Multiple regression is used when using multiple predictor variables to predict changes in a criterion variable.
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Answer:</h3>
- You pay a total duty of $112
- This is 23.6% of their total cost
- You would save more by buying in the US
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Step-by-step explanation:</h3>
1. Since the scarves are claimed as exempt, the total duty is ...
... $175 × 24% + 200 × 35% = $42 +70 = $112
2. The total cost of goods imported is ...
... 2×$50 +175 +200 = $475
so the percentage of duty is ...
... $112/$475 × 100% ≈ 0.235789... × 100% ≈ 23.6%
3. A duty of 23.6% is more than a markup of 20%, so the markup represents less cost. Buying in the US would save money.
Answer:
m∠CAO=8º
m∠SAC=82º
Step-by-step explanation:
We know that m∠OAS is 90º because it is a radius to a tangent. This will be useful later.
OA=OB because they are both radii. If we draw a line from A to B, this makes an isosceles triangle ABO with a vertex angle of 32 because of the central angle theorem. This means that m∠OAB and m∠OBA are both 74º.
Isosceles triangle CAB is also formed with the construction of AB. Using the inscribed angle theorem, we can find ACB, which is 16º. Solve for the other angles and you get 82º. To find m∠CAO, subtract m∠OAB from m∠CAB, and this returns 8.
To find m∠SAC, subtract m∠CAO from m∠OAS, which is 90º-8º, and you get 82º.
970 is the answer- i couldnt find how to get it ;(