Answer:
The answer is (-3,7/2)
Step-by-step explanation:

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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:
{x | x∈ R, x < 2}
Step-by-step explanation:
Given
Open circle on 2
Arrow pointing left
Required
Determine the inequality
An open circle on 2 means represents either < or >
The arrow points to the left of -2 means that the number line represents numbers less than 2. i.e. < 2
Represent the numbers with x.
The inequality is: x < -2
Using proper notation, the inequality is: {x | x∈ R, x < 2}
Quotient is basically the answer produced when dividing two numbers.
For example, the quotient of 6 and 3 is 2 because when I divide 6 by 3, I get 2.
Eight less than the quotient of x and 3 =
Answer:
0.367
Step-by-step explanation:
i took the test and this is what i got x = 11/30 = 0.367
hope this helps you