Answer:
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- <u><em>Event A: 1/35</em></u>
- <u><em>Event B: 1/840</em></u>
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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:
I can't graph on this but x > -6
To graph you should draw a vertical (up and down) dotted line, and shade the graph to the right of the line.
Step-by-step explanation:
2x+3>-9 Subtract 3 from both sides of the inequality.
2x> -12 Divide both sides by 2
x> -6
Answer:
Step-by-step explanation:
k = 2h+9
h+16=k
h+16=2h+9
-h = -7
h = 7
hannah is 7 and kayla is 23
jacob is wrong because if u do 16*2+7 it’s 39 and 39-16 does not equal 16