Answer:
0.9113
Step-by-step explanation:
Given :
Sample standard deviation of Stock X = 4.665
Sample standard deviation of Stock Y = 8.427
Sample Covariance = 35.826
The Correlation Coefficient, R is related to sample covariance and standard deviation using the formular :
R = Covariance(X, Y) / (SD(X) * (SD(Y))
R = 35.826 / (4.665 * 8.427)
R = 35.826 / 39.311955
R = 0.9113
Hence, correlation Coefficient, R = 0.9113 which depicts a strong positive relationship.
If a wheel makes a full turn, it will have traveled the entire distance around that wheel. After 3 revolutions, it should have traveled 3 times its circumfrence.
The circumfrence of a circle is equal to the diameter times pi. (about 3.14)
21 × 3.14 = 65.94 = circumfrence = 1 revolution
3 revolutions = = 65.94 × 3 = D. 197.82 in.
9514 1404 393
Answer:
- h = -2; k = 0; vertex = (-2, 0)
- h = 3; k = 0; vertex = (3, 0)
Step-by-step explanation:
Translation of a function to the right h units and up k units is accomplished by ...
g(x) = f(x -h) +k
Here, we have f(x) = |x|, so the translation will be ...
g(x) = |x -h| +k
or ...
y = |x -h| +k
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The function y = |x| has its vertex at (0, 0), so translation by (h, k) moves the vertex to (0 +h, 0 +k) = (h, k).
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You will notice that the given equations you are given have no "+k" added on, so k = 0 in both cases. The value of h is the opposite of the constant between the absolute value bars.
1. y = |x +2|
h = -2, k = 0
vertex: (-2, 0)
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2. y = |x -3|
h = 3, k = 0
vertex: (3, 0)
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<em>Additional comment</em>
This is all about <em>matching patterns</em>. You need to be able to identify the variable (x) and what has been added or subtracted to/from it. You need to be able to identify the "parent" function (what you have with nothing added or subtracted), and determine if something is added or subtracted to to/from that. Here, the parent function is |x|. Nothing has been added to the function (outside the absolute value bars), but something has been added to x (inside the absolute value bars).
D.) COLORFUL FLOWERS is the structural adaptation that some plants have to attract pollinators.
