The stem-and-leaf plot shows cholesterol readings for a group of
patients. Two additional readings
will be added to the plot.
Cholesterol Readings
12
13
0 1 2 5 6 6 9
2 2 5 7
3 3 58
3 3 48
14.
15
16
4 4
17
3
17 / 3 represents 173.
If the two additional readings
are 158 and 146, by how many
points will the median of the
readings increase?

6 points

EXPLANATION:

Original readings

120, 121, 122, 125, 126, 126, 129, 132, 132, 135, 137, 143, 143, 145, 148, 153, 153, 154, 164, 164, 173

The median is the 11th number (137).

Additional readings added

120, 121, 122, 125, 126, 126, 129, 132, 132, 135, 137, 143, 143, 145, 146, 148, 153, 153, 154, 158, 164, 164, 173

The median is the 12th number (143).

I'm not sure exactly what it means by 'points' but I think that means 143-137, which is 6 points?

center (1,3) with radius 6

step-by-step explanation:

we must complete the square to find the center and radius of the circle.

first make sure the x and y squared terms have 1 as their coefficients. we also make sure x and y terms together.

we now create space between the x and y terms with parenthesis.

we complete the square by taking the middle terms -2x and the -6y - divide each and square them.

we add the squares to both sides.

simplify.

and write the quadratics in factored form.

the center is (h,k) or (1,3). the radius is the square root of 36 which is 6.

the 8 in 8,420 is in the thousands place so it's value is 8 thousand.

the 8 in 6,870 is in the hundreds place so it's value is 8 hundred.

divide 8000 by 800 to find the answer:

8000 / 800 = 10

the 8 in 8,420 is 10 times greater than the 8 in 6,870