Answer:
Size of N(S) = 90, or S=90
Step-by-step explanation:
So since there are 10 items:
Each single item has 9 possibilities to be paired with, since it is drawn without replacement, and 1 item can't be drawn again.
So : 10 items x 9 possibilites = array of 90
SO ANSWER : 90
Hope I helped :)
Answer:
constant of variation = 3
Step-by-step explanation:
we know that b varies jointly with c and d
so:
b∝c∝d
and b varies inversely with e, so
b∝
and i will call the constant of variation k, this way we can make an equation for b in the following form:

this satisfy that b varies jointly with c and d (if b increases, c and d also increase) and inversely with e (if b increases, e decreases)
we know that when b is 18, c is 4, d is 9, and e is 6:

substituting this in our equation for b:

and we solve operations and clear for the constant of variation k:

the constant of variation is 3.
Answer:
7.06 x 10^(-7) ft 3
Step-by-step explanation:
We have the formula to calculate the volume of an octagonal Pyraamid as following:
<em>+) Volume of octagonal pyramid = 1/3 * Area of the base * Height</em>
As given, the base of the pyramid is an octagon with area equal to 15mm2
=> Area of the base = 15 mm2
The height of the pyramid is the length of the line segment which is perpendicular to the base - which is the red line.
=> Height = 4mm
So we have:
<em>Volume of octagonal pyramid = 1/3 * Area of the base * Height</em>
<em>= 1/3 * 15 * 4 = 20 mm3</em>
<em />
As: 1 mm3 = 3.53 x 10^(-8) ft 3
=> 20 mm3 = 7.06x10^(-7) ft 3
So the volume of the pyramid is : 7.06 x 10^(-7) ft 3
20:50 as 40:100
so the answer is 40%