Answer with explanation:
Given : The computed r -value = 0.45
Sample size : n=18
Degree of freedom : 
Now, the critical value for Pearson correlation coefficient for a two-tailed test at a .05 level of significance will be :
( by critical correlation coefficient table)
Since , 
i.e. 0.45>0.468 , then we say that his Pearson correlation coefficient is not significant for a two-tailed test at a .05 level of significance.
Answer:
14.11
Step-by-step explanation:
.83*16.5=14.11
Answer:
- f(x + 5) = |x + 5|, represents the requested change of 5 units to the left,
- f(x) - 4 = |x| - 4, represents the requested change of 4 units down.
Step-by-step explanation:
The following rules will permit you to predict the equation of a new function after applying changes, especifically translations, that shift the graph of the parent function in the vertical direction (upward or downward) and in the horizontal direction (left or right).
- <u>Horizontal shifts:</u>
Let the parent function be f(x) and k a positive parameter, then f (x + k) represents a horizontal shift of k units to the left, and f (x - k) represents a horizontal shift k units to the right.
Let, again, the parent function be f(x) and, now, h a positive parameter, then f(x) + h represents a vertical shift of h units to upward, and f(x - h) represents a vertical shift of h units downward.
- <u>Combining the two previous rules</u>, you get that f (x + k) + h, represents a vertical shift h units upward if h is positive (h units downward if h is negative), and a horizontal shift k units to the left if k is positive (k units to the right if k negative)
Hence, since the parent function is f(x) = |x|
- f(x + 5) = |x + 5|, represents the requested change of 5 units to the left,
- f(x) - 4 = |x| - 4, represents the requested change of 4 units down.
Furthermore:
- f(x + 5) - 4 = |x + 5| - 4, represents a combined shift 5 units to the left and 4 units down.
Answer:
c. 8 1/3 cups
Step-by-step explanation:
3 1/3 * 2 1/2 = 25/3 or 8 1/3
