Answer:
Mean: 14
Median: 15
Mode: All values appear just once
Range: 7
97.2% on the final.
Find the total amount of points needed to get a 93%. 150+150+150+250 = 700 total points. 700*.93 = 651 total points needed to get 93%. find the points received from the other quizzes and subtract the sum from 651 to find how many points need to be scored on the final.
150*.88=132 (test 1)
150*.94=141 (test 2)
150*.90=135 (test 3)
132+141+135= 408
651-408 = 243 points to score on the final exam.
243/250 =.972 or 97.2%
Answer:
Step-by-step explanation:
x² - 2x + y² - 4y - 4 = 0
x² - 2x + y² - 4y = 4
complete the squares
(x² - 2x + x₀) + (y² - 4y + y₀) = 4
the unknown number will be the square of half of the x¹ coefficient
(x² - 2x + 1) + (y² - 4y + 4) = 4 + 1 + 4
(x - 1)² + (y - 2)² = 9
This tells us that the circle is centered on (1, 2)
Which is also a point on the diameter
2x - y + a = 0
a = y - 2x
a = 2 - 2(1)
a = 0
Take the first point (2, 4) a scale factor of 3/2 will move the x coordinate 2 to 2*3/2 = 3 and the y coordinate 4 will be moved to 4*3/2 = 6.
So the image of ( 2, 4) will be ( 3, 6) TH other verices will move in the same fashion.