The coordinates of the new rectangle formed after transformation are; A'(3, -1); B'(6, -1); C'(6, 4); D'(3, 4)
<h3>How to carry out rotational transformation?</h3>
We are told that the original rectangle which I labelled ABCD in the attached image is rotated 90° clockwise about the origin.
Now, from the translation of Rectangle ABCD into A'B'C'D' using the transformation rule in the question, the new coordinates are;
A'(3, -1)
B'(6, -1)
C'(6, 4)
D'(3, 4)
Read more about Rotational Transformation at; brainly.com/question/4289712
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Answer:
The true estimate of the average annual income of all 700 families living in a four square block section lies within the 92% confidence interval below
Step-by-step explanation:
From the question we are told that
The sample size is n = 50
The sample mean is 
The population standard deviation is 
From the question we are told the confidence level is 92% , hence the level of significance is
=> 
Generally from the normal distribution table the critical value of 
is
Generally the margin of error is mathematically represented as
=> 
=> 
Generally 92% confidence interval is mathematically represented as
=> 
=>
So the true estimate of the average annual income of all 700 families living in a four square block section lies within the 92% confidence interval
Answer:
c This is the direct variation
Step-by-step explanation:
The equation for direct variation is y= kx
Solving this for k
y/x =k
So y/x must be a constant
a. 9/3 =3
2/7 does not =3 so this is not a direct variation
b 1/2 = .5
-3/6 = -.5
This is not the same so this is not a direct variation
c. 27/9 =3
18/6 =3
9/3 =3
This is a direct variation with a constant of 3
d 5/-7 = -5/7
1/-3 = -1/3
This is not the same so this is not a direct variation
Answer:
$25
Step-by-step explanation:
5% of 500 = 0.05 × 500 = 25
X= 2,-2
The Y value is (0,16)
