Answer:
10.5
Step-by-step explanation:
there are 2 middle values when you have an even number of data items so you must take their average
(10+11)/2 = 21/2 = 10.5
Answer: QF = 5
Step-by-step explanation:
We know that if a triangle has a centroid, the ratio of the longer segment to shorter segment is 2:1. We can set up a proportion
, where x is the length of QF. By cross multiplying and dividing, you get x = 5 or QF = 5.
The intersection of 8th street and J street can be determined by setting up an equation for each line segment given the points mentioned above. Note that the equation of a line can be obtained from two points such that:
y - y1 = m(x-x1), where m = (y2-y1)/(x2-x1)
For instance, the equation for 8th street is given by: y - 4 = [(9-4)/(6-1)]*(x-1). On the other hand, the equation for J street is given by: y + 14 = [(4+14)/(-5-4)]*(x-4). Simplifying the 2 equations we get: Eqn. (1) y = x + 3 and Eqn. (2) y = -2x - 6
Solving the 2 equations simultaneously, we obtain x = -3, y = 0. Thus, if the city council extends 8th street in a straight line, it will intersect J street at (-3,0).
Answer: simplified is 4
[(3x6)+(5x2)] /7
(18+10)/7
28/7
4