Answer:
The first 4 guests can arrive in 32,760 ways.
Step-by-step explanation:
The order in which the guests arrive is important. For example, A,B,C,D is a different outcome to B,A,C,D. So we use the permutations formula to solve this question.
Permutations formula:
The number of possible permutations of x elements from a set of n elements is given by the following formula:
In this question:
4 guests from a set of 15. So
The first 4 guests can arrive in 32,760 ways.
Answer:
The length of the arc is 15.7 centimeters
Step-by-step explanation:
The central angle measures 90 degrees. In order to find the length of the arc, we need to find the total circumference of the circle.
Circumference formula = pi x diameter
The diameter is just the radius doubled
pi x (10 + 10)
pi x 20 = 62.8
The total circumference is 62.8. We know that there are 360 degrees in a circle and 90 is 1/4 of 360.
So 62.8 / 4 = 15.7
The arc should be 15.7 cm
i think this is correct, sorry if its not
Answer:
70 miles were driven this month
Step-by-step explanation:
suppose 100 miles were driven last month
30%= 30/100*100=30 miles
30% decreasewould be 100-30= 70 miles