Answer:
The scale factor is

Step-by-step explanation:
Line segmentAB has vertices A(−3, 4) and B(1, −2) .
A dilation, centered at the origin, is applied to AB. The image has vertices
A'(-1,4/3) and B′(1/3, −2/3) .
We know the rule for dilation by scale factor of k, is

This means that;

But we know, A' has coordinates (-1,4/3)
This means that


We could also compare:
4k=4/3
Which gives
k=⅓
The option D is the correct option.
According to the statement
we have to define the sample variance in the words.
So,
The sample variance is the sum of the squared deviations from the mean divided by the number of measurements minus one.
and in the case of the population variance it becomes
The population variance is the average of the squared distances of the measurements on all units in the population from the mean.
This is the method by which we define the sample variance and population variance.
So, The option D is the correct option.
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the answer is rate hope it helps
Answer:
P = 5.5x + 9
Step-by-step explanation:
P = 5x + (0.3x + 24) + (0.2x - 15)
reduced
P = 5.5x + 9
9 x² + 16 y² = 144 /:144

General formula of ellipse ( the center is at the origin ):
a² = 16, b² = 9
Domain: [-a, a ] = [-4, 4]
Range:[-b, b ]
Answer:
B ) ellipse.Domain: { -4 ≤ x ≤ 4 }Range: { -3 ≤ y ≤ 3 }