Answer: a) reflected over x-axis and reflected over y-axis
<u>Step-by-step explanation:</u>
Reflection over the x-axis changes the sign of the y-coordinate
Z = (x, y) → Z'(x, -y)
Reflection over the y-axis changes the sign of the x-coordinate
Z' = (x, -y) → Z''(-x, -y)
A = (-4, 1) → A'' = (4, -1)
B = (-3, 2) → A'' = (3, -2)
C = (-1, 2) → A'' = (1, -2)
D = (-2, 1) → A'' = (2, -1)
Answer:
2.5 hours
Step-by-step explanation:
Find unit rate so 1 page per 30 mins. 30 x 5 = 150 minutes. Since it asks for hours, 150/60= 2 hours and 30 minutes or 2.5 hours
Boys:girls
6:5
x:45
x = (45/5) x 6
45/5 = 9
9 x 6 = 54
there are 54 boys in the choir
Answer:
b. 3 treatments and 21 subjectcs
Step-by-step explanation:
Analysis of variance (ANOVA) "is used to analyze the differences among group means in a sample".
The sum of squares "is the sum of the square of variation, where variation is defined as the spread between each individual value and the grand mean"
On this case we have 4 degrees of freedom for the numerator and 95 for the denominator.
If we assume that we have
groups and on each group from
we have
individuals on each group we can define the following formulas of variation:
And we have this property
The degrees of freedom for the numerator on this case is given by
where k represent the number of groups or treatments. So then if we solve for k we got 
The degrees of freedom for the denominator on this case is given by
. And we can solve for N like this:
so we have 21 individuals in total
And the total degrees of freedom would be
On this case the correct answer would be:
b. 3 treatments and 21 subjectcs