The correct options are:
A. The scatter plot has an outlier at (15, 2)
B. The scatter plot has a cluster with a range from 2 to 4
<u><em>Explanation</em></u>
Co ordinate of any point can be written in form of (x,y) where first value is the distance across x-axis and second value is the distance across y-axis.
We can see in the plot, that the outlier point is 15 unit across x-axis and then 2 unit across y axis from the origin. So the co ordinate of that point will be (15, 2).
Range means the values across the y-axis. We can see that the cluster starts at y=2 and ends at y=4. That means, the scatter plot has a cluster with a range from 2 to 4.
£1 = 99.72 rupees -> £450 = 44874 rupees.
As the post office only has 500 rupee papers, once we calculate out the result, we have to round down to the nearest whole number.
The amount of rupee papers we can change out is : 44874 : 500 = 89.748 (papers)
We round down to 89 papers.
Answer:
x = 20
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180°
Using ΔAHC , then
∠ACH = 180 - (2x + 100) = 180 - 2x - 100 = 80 - 2x
∠ECD = ∠ACB ( vertical angles are congruent ), thus
∠ECD = ∠ACH + ∠HCB, that is
3x = 80 - 2x + x
3x = 80 - x ( add x to both sides )
4x = 80 ( divide both sides by 4 )
x = 20
We can write this in math as x+y+z=104, x=y-6, and z=3y
Because we already know what x and z are in terms of y, we can substitute our values for x and z into the first equation. This now looks like (y-6) + y + (3y) = 104. Now we can simplify our equation to find our value for y.
y-6 + y + 3y = 104 simplifies to 5y - 6 = 104, then 5y=110, and finally y=22.
Now that we know our value for y we can find our values for x and z by substituting our value for y into the other two equations.
The second equation x = y-6 can be simplified as x = 22 - 6 and further simplified as x = 16.
The third equation z = 3y can be written as z = 3(22) or z = 66.
Our three numbers are 16, 22, and 66. Hope this helps you!
