The constant of proportionality is 1/3
and three more values are
x 1 2 3 4 5
y 3 6 9 12 15
<h3>Variation</h3>
From the question, we are to determine the constant of proportionality
The given equation is
k = x ÷ y
From the given information,
When x = 1, y = 3
∴ k = 1 ÷ 3
k = 1/3
Thus, the constant of proportionality is 1/3
Now, we will determine the values of y for the values x = 3, x = 4, and x = 5
Since
k = x ÷ y
Then,
y = x ÷ k
When x = 3
y = 3 ÷ 1/3
y = 3 × 3
y = 9
When x = 4
y = 4 ÷ 1/3
y = 4 × 3
y = 12
When x = 5
y = 5 ÷ 1/3
y = 5 × 3
y = 15
Hence, the constant of proportionality is 1/3
and three more values are
x 1 2 3 4 5
y 3 6 9 12 15
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Answer:69.66
r=9 so diameter is 18, and the shape being a square you do 18 x 18 = 324
now the circles area is 254.34 now find the difference... and it is 69.66
Step-by-step explanation:
Answer:
The probability that she wins exactly once before she loses her initial capital is 0.243.
Step-by-step explanation:
The gambler commences with $30, i.e. she played 3 games.
Let <em>X</em> = number of games won by the gambler.
The probability of winning a game is, <em>p</em> = 0.10.
The random variable <em>X</em> follows a Binomial distribution, with probability mass function:

Compute the probability of exactly one winning as follows:

Thus, the probability that she wins exactly once before she loses her initial capital is 0.243.
Solution of the equation: 
Step-by-step explanation:
The equation that we have to solve in this problem is:

The first step to do is to rewrite the mixed fractions as improper fractions. We have:

And

So the equation becomes

Now we multiply by 4 each term on both sides, and we get

Now we subtract 29 from both sides,

And finally, we divide both sides by 4:

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