9514 1404 393
Answer:
b. 255.5 to 499.5
Step-by-step explanation:
The middle 50% is the range between the first and third quartiles. In this group of 9 numbers, the first quartile is the average of numbers 2 and 3 when the numbers are listed from smallest to largest.
first quartile = (230 +281)/2 = 255.5 . . . . . . matches answer choice B
The third quartile is the average of numbers 7 and 8:
third quartile = (468 +531)/2 = 499.5 . . . . . also matches answer choice B
The middle 50% is 255.5 to 499.5.
_____
When I put the numbers in order, I get ...
198 230 ^ 281 246 376 426 468 ^ 531 540
^ indicates that the quartile here is the average of the adjacent numbers
bold indicates the median (2nd quartile)
Answer:
-8/5 or -1.6
Step-by-step explanation:
The coordinates of the function will be T (x , y ) = (2 x, y + 5) ; Option B is the answer.
<h3>What is a Function ?</h3>
A function is a mathematical statement that relates an independent and a dependent variable .
An inverse of a function is given
T⁻¹ (x, y) : (½x, y - 5)
T(x, y) : ?
As the inverse in given , to find the function , the reverse of all the transformation has to be done .
The x coordinate has been halved , so the original function will be double.
The y coordinate has 5 subtracted to it , so it will be added to the coordinate.
So the coordinates of the function will be
T (x , y ) = (2 x, y + 5)
Therefore Option B is the answer.
To know more about Function
brainly.com/question/12431044
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Based on the given focus (-1,-3) and directrix, y=1, it can be said that the parabola is opening downward since the equation of the directrix is a horizontal line, the latus rectum where the focus lies should be parallel to the directrix. By plotting the parabola, vertex can be drawn at point (-1,-1). Take note that the distance between focus and the vertex is equal to the distance from the vertex to the directrix, in this case this distance = 2. With this information known and by applying the standard equation for parabola opening downward, (x-h)^2 = -4a(y-k), or by substitution,
(x+1)^2 = -8(y+1) is the equation of the parabola.