Answer:
Variation constant =
Step-by-step explanation:
If two variables x and y represent a direct variation then they will have the relation as y = kx
Here k is the constant of variation.
Since the given equation that represent a direct variation is 5x = -3y
3y = -5x
If we compare this equation with y = kx then we find
Therefore constant of variation is
22.8 grams of element will be remaining after 7 minutes
Further explanation:
Given
The element reduces (1-22%) in one minute.
The process will be repeated 7 times for 7 minutes
If we have to calculate the amount of element after 7 minutes
then the total reduction will be: (1-22%)^7
22.8 grams of element will be remaining after 7 minutes
Keywords: Decay, Percentage
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Answer:
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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: