Help the skeleton in the closet out,
2 answers:
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Answer:
Assuming the slide is straight - 12 feet
Step-by-step explanation:
Assuming the slide is straight - it creates a right triangle with long side 13 feet and one of the short sides of 5 feet. We need to find the other short side.
We know that:
The values of x and y are 70/22 and 30/22 respectively by using the first-order condition of differential calculus.
<h3>What is the first-order condition in differential calculus?</h3>A first-order differential equation is represented by the equation with 2 variables x & y, including its function f(x,y) specified on a xy-plane.
Given that:
Let us first differentiate the above equation with respect to x, we have:
(multiply by -1)
44x - 22y = 110 ------ (equation 1)
Now, differentiating with respect to y, we have:
22x - 22y = 40 ----- (equation 2)
Now, we have a system of equations:
44x - 22y = 110
- ---- ( subtracting equation 2 from 1; elimination method)
<u> 22x - 22y = 40 </u>
<u>22x + 0 = 70 </u>
<u />
x = 70/22
Replacing the value of x into equation (1), we have:
44x - 22y = 110
44(70/22) - 22y = 110
140 - 22y = 110
140 - 110 = 22y
30 = 22y
y = 30/22
Learn more about the first-order conditions in differential calculus here;
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Answer:
(1) The between groups degrees of freedom is 2.
(2) TRUE.
(3) The correct option is (a).
Step-by-step explanation:
(1)
The between groups degrees of freedom for the study is:
Thus, the between groups degrees of freedom is 2.
(2)
The hypothesis for he one-way ANOVA is:
<em>H</em>₀: All the means are equal.
<em>Hₐ</em>: At least one of the mean is not equal.
The output of the ANOVA test is attached below.
The <em>p</em>-value of the test is 0.00005.
<em>p</em>-value = 0.00005 < <em>α</em> = 0.05
Thus, the result is statistically significant.
The statement is TRUE.
(3)
As the <em>p</em>-value of the test is less than the significance level, the researcher should make the decision to reject the null hypothesis.
The correct option is (a).
