You calculate the number of ways that 2 people can be chosen from 10.
The formula:
n! / r! * (n-r)! =
10! / 2! * 8! =
10 * 9 * 8! / 2 * 8! =
10 * 9 / 2 =
45 handshakes
Source:
http://www.1728.org/combinat.htm
Answer:
The very first thing we want to do in this equation is to isolate x on one side (preferably the left side).
3/x - 4 = 1/5
We get rid of any constants first, by performing the inverse property;
The inverse property of subtraction is addition, so we add 4 to both sides:
+4 +4
3/x = 4 1/5
3 is being divided by x, so the inverse operation of division is multiplication. So we multiply by 1/3 on both sides.
x1/3 x1/3
X = 1 4/10 which simplifies to 1 2/5.
Answer:
Systematic sampling.
Step-by-step explanation:
The systematic sampling is a type of random sampling in which a unit is selected from k units and after this every kth unit is selected until population is serially numbered from 1 to N arranged in a systematic way.
The statement shows that every 18th truck is selected until a sample of 60 trucks is selected. It shows that a systematic random sample is obtained with k=18 and thus, systematic sampling is used.
Answer:
about 98 percent
Step-by-step explanation:
about 78.09% of the atmosphere is nitrogen and 20.95% of oxygen so when we add 78 and 20 we get 98% .Therefore about 98%of the earth is composed of nitrogen and oxygen
Answer:
96 in
Step-by-step explanation:
If the midpoints of the sides are joined to form the smaller triangle, then the perimeter of the smaller triangle is half the perimeter of the greater triangle, because the sides of the smaller triangle are midlines of the greater triangle. By the triangle's midline theorem, each triangle's midline is half the side to which this midline is parallel.
So, if the perimeter of 6th triangle is 3 inches, then the perimeter of 5th triangle is 6 inches, the perimeter of 4th triangle is 12 inches, the perimeter of 3rd triangle is 24 in, the perimeter of 2nd triangle is 48 in and the perimeter of the initial triangle is 96 in
