HELP ASAP MARKING BRAINLEST use the diagram to write the standard equation of the circle.
1 answer:
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Answer: <em>r</em> represents a significant linear correlation.
Step-by-step explanation:
GIven : Linear correlation coefficient: r = 0.543
Sample size: n= 25
Significance levle:
Degree of freedom : n-2 = 25-2=23
Now, we check <em>r</em> critical value table for value with df = 23 and .
Critical value = ±0.396 [From <em>r</em> critical value table]
Since r = 0.543 > 0.396, that means there is significant linear correlation.
Hence, <em>r</em> represents a significant linear correlation.
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Answer:
- 160 ft (out from the river)
- 320 ft (parallel to the river)
Step-by-step explanation:
Let x represent the length of fence parallel to the river. Then the dimension of perpendicular to the river will be half the remaining fence: (640-x)/2. The total area will be ...
A = x(640-x)/2
This is the equation of a parabola that opens downward. It has zeros at x=0 and x=640, so its axis of symmetry is x = (0+640)/2 = 320. That is, the peak of the area curve is found when x=320.
The dimensions of the garden with the largest area are 160 ft wide by 320 ft long, where the long side is the river side.
Answer:
Option (a) is true.
Step-by-step explanation:
Given the function
(f∘g)(x) = f(g(x)) = f(x²-3) = (x²-3)+5
= x² + 2
Thus,
f(g(x)) = x² + 2
Therefore, option (a) is true.