Answer:
12
Step-by-step explanation:
if you multiply everything by 5, then you can get rid of the fraction and the equation would now look like this:
x - 40 = 20
and now you can answer this simply
x - 40 = 20
+40 +40
x = 60
and since you multiplied 5 beforehand, now you have to divide by 5 to get the real answer
60 ÷ 5 = 12
therefore, x = 12
Answer:
see explanation
Step-by-step explanation:
Calculate the slopes between pairs of the 3 points using the slope formula
m = 
with (x₁, y₁ ) = (- 9, 3) and (x₂, y₂ ) = (- 3, 9)
m =
=
=
= 1
Repeat with (x₁, y₁ ) = (5, 1) and (x₂, y₂ ) = (- 3, 9)
m =
=
= - 1
If lines are perpendicular then the product of their slopes = - 1 , then
1 × - 1 = -1
Thus there is a right angle between the 2 lines
Then triangle is right- angled
Answer:
16 1/7
Step-by-step explanation:
simple add
start with the fractions
5/7+3/7 = 8/7
simplify 1 1/7
add your whole numbers 15+1= 16 and the add your fraction 16+1/7= 16 1/7
Answer:
Step-by-step explanation:
Part A:
The interquartile range is approximately 10
Part B:
The difference between the median values for each data set is approximately 6
Part C:
i) More widely distributed and concentrated to the beginning of the month
The better measure of the center for the male dataset is the median
ii) The skewed distribution
The mean is the better measure of center for the dataset
Part D;
A possible reason for the outlier is by chance
Answer:
Step-by-step explanation:
We are to find the equation a line that passes through the point (8, 1) and which is perpendicular to a line whose equation is
.
We know that the slope of line which is perpendicular to another line is the negative reciprocal of the slope of the other line so it will be
.
Then, we will find the y-intercept of the line using the standard equation of a line:
Therefore, the equation of the line will be
.