Alice receives 9 out of the 24 pens.
Answer:
7.) Line, point
8.) Line
9.) Line, point, rotational
10.) Rotational
11.) None
12.) Line
Answer: 34 degrees of freedom should be used to find the p-value of the test .
Step-by-step explanation:
Degrees of Freedom relates to the maximum number of independent values, that have independence to vary in the sample.
Given : When testing the difference between two population means and the population variances are unknown and unequal, the degrees of freedom are calculated as 34.7.
But degree of freedom must be an integer , so we find the greatest integer less than equal to the calculated degree of freedom.
i.e. [df]=[34.7]= 34
Thus , 34 degrees of freedom should be used to find the p-value of the test .
6 / 2 = 3
21 / 7 = 3
Yes, 2/7 and 6/21 are equivalent ratios. The second number is simply the first number tripled.
Answer:
x - 5y = 22
Step-by-step explanation:
Step 1: rewrite the equation of the given line in to slope-intercept form by solving for y
x = 5y - 9
-5y = -x - 9 (subtract 5y and x from both sides)
y = x/5 + 9/5 (divide both side by -5)
Step 2: Our line is parallel to this line, so it has the same slope, but a different y-intercept, so set up the equation...
y = x/5 + b
We are given a point (x, y) of (2, -4), so plug that in and solve for b.
-4 = 2/5 + b
-4 - 2/5 = b (subtract 2/5 from both sides to isolate b)
-20/5 - 2/5 = b
-22/5 = b (simplify)
So the equation of our line is y = x/5 - 22/5
Step 3: Standard form is ax + by = c, where a is a positive integer
subtract x/5 from both sides...
-x/5 + y = - 22/5
multiply by -5 so x becomes a positive integer
x - 5y = 22