Answer:

Step-by-step explanation:
Find the gradient of the equation

The equation will have the gradient -3x
Use the general equation of a line, and substitute the coordinates in to find the y-intercept.

(4, -6)


(0, 6)

The equation of the line is

Answer:
The relative frequency is found by dividing the class frequencies by the total number of observations
Step-by-step explanation:
Relative frequency measures how often a value appears relative to the sum of the total values.
An example of how relative frequency is calculated
Here are the scores and frequency of students in a maths test
Scores (classes) Frequency Relative frequency
0 - 20 10 10 / 50 = 0.2
21 - 40 15 15 / 50 = 0.3
41 - 60 10 10 / 50 = 0.2
61 - 80 5 5 / 50 = 0.1
81 - 100 <u> 10</u> 10 / 50 = <u>0.2</u>
50 1
From the above example, it can be seen that :
- two or more classes can have the same relative frequency
- The relative frequency is found by dividing the class frequencies by the total number of observations.
- The sum of the relative frequencies must be equal to one
- The sum of the frequencies and not the relative frequencies is equal to the number of observations.
Answer:
The range and mean will increase - False
(because only range will increase, mean will decrease)
The mean and median will decrease - True
The mean will decrease but the median will stay the same - False
(Both of mean and median will decrease)
An outlier is more likely to change the median than the mean - False
(An outlier is more likely to change the mean than the median)
Answer:
16
Step-by-step explanation:
If n is number of nickles and d is number of dimes:
5n + 10d = 440
n = 3.5d
Substitute:
5(3.5)d + 10d = 440
17.5d + 10d = 440
27.5d = 440
d = 16
Answer:
D. a is equal to 
Step-by-step explanation:
Let us assume that segment PQ is 8 units, so that its midpoint M is at 4 units to both P and Q.
Given that X is the midpoint of PM, this implies that X is at 2 units to both P and M.
Then;
PX = aPQ
⇒ = a x 8
= 8a
Therefore, a must be equal to
, so that;
PX = 8a
= 8 x 
= 2 units
Thus, a is equal to
is the correct option.