I believe it would be 4
This is because when divided by 3, 3x+12y=3 turns into x+4y=3
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:

Step-by-step explanation:
A correlation coefficient is a number ranging from -1 and 1 that measures the strength and direction of a linear relationship.
- If it is a negative number, the linear relationship is also negative. If it's positive, the relationship is positive.
- The closer it is to -1 or 1, the stronger the relationship.
Since the question only asks for the strongest relationship and does not ask for the direction (positive/negative), we can simply choose the number closest to -1/1. Therefore, the answer is -0.92.
Answer:
x = 3
Step-by-step explanation:
1. 5x = 11 +4 (when the negative is moved, it turns positive)
2. 5x = 15
3. divide 15 by 5 and then you get your answer