Answer: C:How many members are in the band when no one is absent.
Step-by-step explanation:
this is the answer for khan academy .i just got the answer wrong and looked at which one was right
Answer:
<u><em></em></u>
- <u><em>Event A: 1/35</em></u>
- <u><em>Event B: 1/840</em></u>
<u><em></em></u>
Explanation:
<u>Event A</u>
For the event A, the order of the first 4 acts does not matter.
The number of different four acts taken from a set of seven acts, when the order does not matter, is calculated using the concept of combinations.
Thus, the number of ways that the first <em>four acts</em> can be scheduled is:


And<em> the number of ways that four acts is the singer, the juggler, the guitarist, and the violinist, in any order</em>, is 1: C(4,4).
Therefore the<em> probability of Event A</em> is:

Event B
Now the order matters. The difference between combinations and permutations is ordering. When the order matters you need to use permutations.
The number of ways in which <em>four acts </em>can be scheculed when the order matters is:


The number of ways <em>the comedian is first, the guitarist is second, the dancer is third, and the juggler is fourth</em> is 1: P(4,4)
Therefore, <em>the probability of Event B</em> is:

Answer:
-8<k<-2
Step-by-step explanation:
-50<7k+6<-8
-56<7k<-14
-8<k<-2
Answer:
Internal angle = 
Number of sides = 18
Step-by-step explanation:
Given that:
We have a regular polygon with number of sides unknown.
Measure of an exterior angle of the polygon = 
To find:
Measure of an interior angle and the number of sides of the polygon?
Solution:
Let us have a look at the relation of sum of external angles.
Sum of one internal angle and its corresponding external angle = 
Internal angle + external angle = 
Internal angle =
-
= 
Sum of all the external of a regular polygon = 
All the external angles will be equal because it is a regular polygon.
Let the number of sides = 
Therefore,

Therefore, the answers are:
Internal angle = 
Number of sides = 18