Answer:
(D)
Step-by-step explanation:
The given data set is:
10, 12, 2, 4, 24, 2, 7, 7, 9
Firstly arrange the given data set in ascending order, we get
2, 2, 4, 7, 7, 9, 10, 12, 24
Now, the median of the above given data set is:
The upper quartile is:
9, 10, 12, 24
thus,
The lower quartile is:
2, 2, 4, 7
thus,
The highest value of the given data set is 24 and the lowest value is 2.
Therefore, option D is correct.
Answer:
145
Step-by-step explanation:
six can go into eight once with a remainder of two, next you bring down the seven and you will get twenty seven, six can go into twenty seven four times six by four is 24,27 take away 24 is 3 then you bring down the one, six can go into 31 five times, six by five is 30, 31 take away 30 is one
Focus of the parabola is (-5,5) and directrix is y = -1.
Let's assume a point (x,y) on parabola.
According to definition of parabola, the distance between point (x,y) and focus (-5,5) would be same as the distance between the point (x,y) and directrix y = -1.
Hence, option D is correct, i.e. f(x) = one twelfth (x + 5)2 + 2.
Answer:
The required equation is: y=-3
Option D is correct.
Step-by-step explanation:
We need to write equation of line that is perpendicular to y = 5 and passes through (-4,-3).
The equation of line in slope-intercept form is expressed as:
where m is slope and b is y-intercept.
Finding Slope:
Comparing with the given equation y=5, the slope m =0
The slope of required line will be opposite reciprocal of 0 as both lines are perpendicular. so it will be m=0
Finding y-intercept
The y-intercept can be found using slope m=0 and point (-4,-3)
So, y-intercept b is b=-3
The equation of required line having slope m=0 and y-intercept b=-3 is
So, required equation is: y=-3
Option D is correct.