A jar is filled with pennies and nickels in the ratio of 5 to 3. There are thirty nickels in the jar, how many coins are there?
2 answers:
You might be interested in
Answer with Step-by-step explanation:
Permutation : It is an arrangement of r elements out of n elements.
Combination : it is a selection of r element out of n elements .
Suppose we have a set
S={1,2,3}
If two elements are taken at a time then
Using permutation formula
Total number of outcomes=
Total number of outcomes=
Total number of outcomes=3!=
Using combination formula
Total number of outcomes=
Total number of outcomes=
Hence, total number of outcomes=3
Total number of outcomes determined by permutation have more outcomes.
Because permutation is an arrangement of elements therefore, it consider order of arrangement of element but combination is a selection of elements it does no consider order of elements
Arrangements of two elements out of 3 elements
{1,2},{2,3},{2,1},{3,2},{1,3},{3,1}
By using combination if two elements taken at a time then combination
{1,2},{2,3},{1,3}
Answer:
The answer is below
Step-by-step explanation:
The diameter of a tire is 2.5 ft. a. Find the circumference of the tire. b. About how many times will the tire have to rotate to travel 1 mile?
Solution:
a) The circumference of a circle is the perimeter of the circle. The circumference of the circle is the distance around a circle, that is the arc length of the circle. The circumference of a circle is given by:
Circumference = 2π × radius; but diameter = 2 × radius. Hence:
Circumference = π * diameter.
Given that diameter of the tire = 2.5 ft:
Circumference of the tire = π * diameter = 2.5 * π = 7.85 ft
b) since the circumference of the tire is 7.85 ft, it means that 1 revolution of the tire covers a distance of 7.85 ft.
1 mile = 5280 ft
The number of rotation required to cover 1 mile (5280 ft) is:
number of rotation =