The numbers 5, 12 and 13 can be used to correctly identify the sides of a right triangle, and this can be proven by using the Pythagorean Theorem.
5² + 12² = 13²
25 + 144 = 169
169 = 169
5 and 12 are the legs, and 13 is the hypotenuse. Hopefully this is what the question is asking. :)
Answer:
A is incorrect! <u>B. should be the correct answer</u>
Step-by-step explanation
After some research, i found that the correct answer is most likely <u><em>B. a regression line and trend line are equivalent terms</em></u>
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<em>A trendline and a regression can be the same.
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A regression line is based upon the best fitting curve Y= a + bX Most often it’s a least-squares fit (where the squared distances from the points to the line (along the Y-axis) is minimized).
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It can be quadratic or logistic or otherwise, but most often it is linear.
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A trendline is often constructed by smoothing of the results, making it less peaked. (often by using a moving average); but can also come from ARIMA projections or curve fitting techniques (such as regression).</em>
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Let me know if i helped you!
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4x + 14 = k
Do the opposite of PEMDAS
Isolate the x, subtract 14 from both sides
4x + 14 (-14) = k (-14)
4x = k - 14
divide 4 from both sides
4x/4 = (k-14)/4
x = (k-14)/4 is your answer
hope this helps
Answer:
1.5 kg of pepper cheddar cheese and 4.5 kg of Pennsylvania jack was used in the mixture.
Step-by-step explanation:
Pepper Cheddar cheese = $15 per kilogram
Pennsylvania jack = $11 per kilogram
The cheese sampler includes a Pepper Cheddar cheese and a Pennsylvania jack that cost $15 per kilogram and $11 per kilogram respectively.
The mixture = 6 kg
Let
a = kg of the pepper cheddar cheese
b = kg of the Pennsylvania jack
a + b = 6............(i)
Rate
15a + 11b/6 = 12
15a + 11b = 72.............(ii)
Combine the equation
a + b = 6............(i)
15a + 11b = 72.............(ii)
a = 6 - b
15(6 - b) + 11b = 72
90 - 15b + 11b = 72
90 - 72 = 15b - 11b
18 = 4b
divide both sides by 4
b = 18/4
b = 4.5 kg
insert the value of b in equation (i)
a + b = 6............(i)
a = 6 - 4.5
a = 1.5 kg
1.5 kg of pepper cheddar cheese and 4.5 kg of Pennsylvania jack was used in the mixture.
