X = (0 + 8)/2 = 4
<span>y = (0 + 4)/2 = 2 </span>
<span>so midpoint is (4, 2) </span>
we solved it by using mid point formulae
Answers:
Center = (4, 7)
Radius = 7
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Explanation:
The general template of any circle is
(x-h)^2 + (y-k)^2 = r^2
This general circle has these properties:
Based on the equation your teacher gave you, we see that
- h = 4
- k = 7
- r = 7, since 7^2 = 7*7 = 49
Therefore, this circle has center = (4,7) and radius = 7
Side note: The center's y coordinate and radius aren't always the same value.
Which characteristic of a data set makes a linear regression model unreasonable?
Answer: A correlation coefficient close to zero makes a linear regression model unreasonable.
If the correlation between the two variable is close to zero, we can not expect one variable explaining the variation in other variable. For a linear regression model to be reasonable, the most important check is to see whether the two variables are correlated. If there is correlation between the two variable, we can think of regression analysis and if there is no correlation between the two variable, it does not make sense to apply regression analysis.
Therefore, if the correlation coefficient is close to zero, the linear regression model would be unreasonable.
Answer:
yes
Step-by-step explanation:
the FIRST derivative of a function tells us the slope of a tangent line to the curve at any point. if is positive, then the curve must be increasing. If is negative, then the curve must be decreasing.
the SECOND derivative gives us the slope of the slope function (in other words how fast the slope of the original function changes, and if it is accelerating up - positive - or if it is avengers down - negative).
so, the first derivative would be fully sufficient to get the answer of if the slope of the function at that point is positive or negative.
but because it is only a "if" condition and not a "if and only if" condition, the statement is still true.
there are enough cases, where the slope is positive, but the second derivative is not > 0 (usually = 0).
but if even the second derivative is positive, then, yes, the slope of the original function must be positive too.
For 21 Oz, price is 2.94
So, for 1 Oz, it would be: 2.94 / 21 = 0.14
In short, Your Answer would be $0.14 cereal per oz.
Hope this helps!