Answer:
1. Can be Paired or Not Paired
2. Paired
3. Not Paired
Step-by-step explanation:
Two sets of observations are paired if each observation in one set has a special correspondence or connection with exactly one observation in the other data set.
1. Can be Paired or Not paired
Reason -
We might look at testing the difference of means using a two sample t-test. However, we may also try running a paired t-test.
But its used in cases where the observations are usually from the same populations at different times or through different sources etc.
Hence can't conclude that it is paired or not paired.
2. Paired
Reason -
Each record is a price of the same item from different stores.
3. Not paired
Reason -
This is again a case of testing the difference of means of two-samples (2 independent samples precisely) that are not paired.
Answer:
Step-by-step explanation:
Given
Rotation = +270 degrees
Required
Determine the new coordinates of Q (i.e. Q')
When a point (x,y) is rotated +270° about the origin, the new coordinates is: (y,−x)
So:
Where:
and 
Q' will be:
Answer:
x = 6
y = 24
z = there is no z?
Step-by-step explanation:
All angles of a polygon add up to 360 degrees
The 2 parellel lines on top and bottom mean that there are 2 right angles on the left side
3y + 18 = 90
3y = 72
y = 24
15x + 30 + 10x = 180
25x = 150
x = 6
Answer is d, its simple....
Answer:
Result:
Step-by-step explanation:
Given
The parallelogram DEFG
DE = 6x-12
FG = 2x+36
EF = 4y
DG = 6y-42
We know that the opposite sides of a parallelogram are equal.
As DE and FG are opposite sides, so
DE = FG
substituting DE = 6x-12 and FG = 2x+36 in the equation
6x-12 = 2x+36
6x-2x = 36+12
simplifying
4x = 48
dividing both sides by 4
4x/4 = 48/4
x = 12
Therefore,
The value of x = 12
Also, EF and DG are opposite sides, so
EF = DG
substituting EF = 4y and DG = 6y-42 in the equation
4y = 6y-42
switching sides
6y-42 = 4y
6y-4y = 42
2y = 42
dividing both sides by 2
2y/2 = 42/2
y = 21
Therefore,
The value of y = 21
Result:
