Answer:
Correct option: A
Step-by-step explanation:
To find the equation of the curve related to x and y, we can isolate t in the first equation and then use the value of t in the second equation:
x = 3 + t -> t = x - 3
y = t^2 - 4 -> y = (x-3)^2 - 4 = x^2 - 6x + 9 - 4 = x^2 - 6x + 5
Looking at the curve, we know it is a parabola. To find its vertex, we can use the formula:
x_vertex = -b / 2a
x_vertex = 6 / 2 = 3
To find y_vertex, we use x = x_vertex in the equation:
y_vertex = 3^2 - 6*3 + 5 = -4
So the vertex is (3, -4)
Looking at the first equation, we can see that an increase in t causes an increase in x, so we know that the parabola is traced from left to right for increasing values of t.
Correct option: A
X = 42/56 so 56 cancel and we have 42 = 42
so x = (42/56)%
Answer:
480.6 ; 440.5, 8 mode values
Step-by-step explanation:
Given that :
Given the data :
486, 358, 395, 759,496, 692, 353, 306
Rearranged data: 306, 353, 358, 395, 486, 496, 692, 759
The mean:
Σx/ n
n = sample size = 8
Σx = sum of all data values = 3845
Mean = 3845 / 8
Mean = 480.6
The median :
0.5(n + 1)th term
0.5(8 + 1) th term
0.5(9)th term
= 4.5term
(4th + 5th term) / 2
(395 + 486) / 2
= 440.5
The mode = most frequently occurring data value ; since all the data values have a frequency of 1, then the number of modes = 8.