An election ballot asks voters to select 6 city commissioners from a group of 15 candidates. In how many ways can this be done

1 answer:

4 0

This is a combination since the order doesn't matter
C(15, 6) = (15 * 14 * 13 * 12 * 11 * 10)/(6 * 5 * 4 * 3 * 2 * 1)
C(15, 6) = 3603600/720
C(15, 6) = 5005 different combinations of votes

You might be interested in

Round decimals Write the place value of the underline digit

atroni [7]

So all you have to do is look at were the number is is it is in the first spot it is in the tenths place value, second spot hundredth and so

6 0

3 years ago

Find the best approximation of the volume of the sphere.

BabaBlast [244]

V = 4/3πr³
V = 4/3(3.14)(14)³
V = 4/3(3.14)(2744)
V = 4/3(8616.16)
V = 11488.21333cm³

5 0

3 years ago

Help me I’m begging you please

sertanlavr [38]

Answer:

Air pressure = $4.6\frac{\text{lb}}{\text{in}^{2} }$

Step-by-step explanation:

Relationship between air pressure and altitude can be modeled by,

P = 14.7e $14.7e^{-0.00004h}$

Where P = Air pressure

and h = altitude above the sea level

Air pressure on Mount Everest having altitude = 29028 feet abve the sea level will be,

P = $14.7e^{-0.00004\times 29028}$

= $14.7\times e^{-1.16112}$

= 4.603

≈ 4.6 $\frac{\text{lb}}{\text{in}^{2} }$

Therefore, air pressure on Mount Everest = 4.6 $\frac{\text{lb}}{\text{in}^{2} }$

7 0

4 years ago

A stain glass window is shaped like a semicircle. The bottom edge of the window is 36 inches long. What is the area of the stain

Lubov Fominskaja [6]

I don't really have a calculator on me. But I'll tell you how to go through it.
So the formula for the area of a circle is Pi x radius^2.
So since the diameter is 36, divide that by 2 to get the radius, and you're left with 18. Now do 18 squared and then times that by Pi. Now you've got the area of the whole circle, but since we only have a semicircle, you need to divide your answer by two to get the area of the semi circle

8 0

3 years ago

A right cone has radius 9cm and slant height 12cm. The radius and slant height are both multiplied by 2/3. Which of the followin

Olegator [25]

Answer:

The surface area is multiplied by 4/9.

Step-by-step explanation:

Surface Area of a Cone

Being r the radius and l the slant height of a cone, then its surface area is

$SA=\pi r^2+\pi r l$