Answer:
A) A dilation by a scale factor of 2, centered at the origin, followed by a 180° clockwise rotation about the origin.
Step-by-step explanation:
a dilation by a scale factor of 2, centered at the origin will double its size and move point A from (-2,2) to (-4,4). Then the clockwise rotation of 180° degrees will rotate the figure so that it's point A (now called point D) will be at (4,-4).
(X+8)^2+(y-15)^2=289 would be the equation to the circle
Answer:
The probability is 
Step-by-step explanation:
From the question we are told
The population proportion is 
The sample size is 
The number of graduate who had job is k = 209
Generally given that the sample size is large enough (i.e n > 30) then the mean of this sampling distribution is

Generally the standard deviation of this sampling distribution is

=> 
=> 
Generally the sample proportion is mathematically represented as

=> 
=> 
Generally probability of obtaining a sample proportion as low as or lower than this, if the university’s claim is true, is mathematically represented as


From the z table the area under the normal curve to the left corresponding to -3.022 is

=> 
Answer:
x^2 + x-72=0
Step-by-step explanation:
x(x+1) =72
Distribute
x^2 +x = 72
Subtract 72 from each side
x^2 +x - 72 = 0
Now this is the equation we can factor
Answer:
B) 6.5 inches by 3.5 inches
Step-by-step explanation:
Multiplying the actual dimensions by the scale gives the scale dimensions:
(0.5 in)/(6 ft) × {78 ft, 42 ft}
= {39/6 in, 21/6 in}
= {6.5 in, 3.5 in}
The size on the scale drawing is 6.5 inches by 3.5 inches.