Answer:
Step-by-step explanation:
(b)
(i)
(ii)
(a) Cumulative frequency is 500, median is at 249, 250, the horizontal line from point 250 on y-axis intersecting the graph at approximately 52%, this is the median
(b) Vertical line from the 45% mark intersects the graph at approximately 177th point.
<u>The number of candidates passed the test:</u>
(iii) P(pass) = 323/500 = 0.626 or 62.6%
Answer: ![m = -3](https://tex.z-dn.net/?f=m%20%3D%20-3)
Step-by-step explanation:
slope is calculated with the formula :
![m = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%7By_%7B2%7D-y_%7B1%7D%7D%7Bx_%7B2%7D-x_%7B1%7D%7D)
![x_{1} =-1](https://tex.z-dn.net/?f=x_%7B1%7D%20%3D-1)
![x_{2} = 2](https://tex.z-dn.net/?f=x_%7B2%7D%20%3D%202)
![y_{1} = 6](https://tex.z-dn.net/?f=y_%7B1%7D%20%3D%206)
= ![-3](https://tex.z-dn.net/?f=-3)
Substituting into the formula , we have
![m = \frac{-3-6}{2-(-1)}](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%7B-3-6%7D%7B2-%28-1%29%7D)
![m = \frac{-9}{3}](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%7B-9%7D%7B3%7D)
![m = -3](https://tex.z-dn.net/?f=m%20%3D%20-3)
Answer:
You can use the midpoint formula, knowing the midpoint between two points (x1,y1) and (x2,y2) has the coordinates
[(x1 + x2)/2, (y1 + y2)/2]
Substituting what we are given, we get:
(2 + x2)/2 = 5 and (5 + y2)/2 = 1
so,
2 + x2 = 10 and 5 + y2 = 2
Solving for x2 and y2 puts the endpoint at (8,-3), which is in the 4th quadrant.
You could also graph the points to get the same result.
Step-by-step explanation:
Answer:6ft, 1 second
Step-by-step explanation:
A unit rate is a rate that has a denominator of 1. For example the Rate could be 48 kids per 4 classrooms. The unit rate for this would be 12 kids per 1 classroom. The denominator should always be one.