From the graph shown we can describe the distribution as follows:
Majority of the data points are to the right of the mean, this implies that the median is greater than the mean of the data, thus we can conclude that the correct answer is:
B] <span> The median is greater than the mean, and the majority of the data points are to the right of the mean.</span>
Answer:
sorry dunno
Step-by-step explanation:
:c
1. x/(x - 5) = 4/(x - 4)
x (x - 4) / ((x - 5) (x - 4)) = 4 (x - 5) / ((x - 5) (x - 4))
x (x - 4) = 4 (x - 5)
x² - 4x = 4x - 20
x² - 8x = -20
Solving for x by completing the square gives
x² - 8x + 16 = -4
(x - 4)² = -4
x - 4 = ± 2i
x = 4 + 2i or x = 4 - 2i
2. Since -7 + 2i and -7 - 2i are roots of the given quadratic, we have
z² + bz + c = (z - (-7 + 2i)) (z - (-7 - 2i))
z² + bz + c = (z + (7 - 2i)) (z + (7 + 2i))
z² + bz + c = z² + ((7 - 2i) + (7 + 2i)) z + (7 - 2i) (7 + 2i)
z² + bz + c = z² + 14z + 53
so that b = 14 and c = 53, which makes b + c = 67.
3. If x + y = 4, then
x³ + y³ = 100
x³ + (4 - x)³ = 100
x³ + (64 - 48x + 12x² - x³) = 100
12x² - 48x + 64 = 100
12x² - 48x = 36
x² - 4x = 3
and by completing the square,
x² - 4x + 4 = 7
(x - 2)² = 7
x - 2 = ± 7
x = 2 + 7 or x = 2 - 7
x = 9 or x = -5
If x = 9, then y = -5, so one pair of solutions would be (x, y) = (9, -5).
