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Leno4ka [110]
3 years ago
7

What is the constant of proportionality in the equation y = 2/3x?

Mathematics
1 answer:
kobusy [5.1K]3 years ago
5 0

Answer:

2/3

Step-by-step explanation:

The constant of proportionality is the constant that is multiplied by x

The equation is in the form

y = kx where k is the constant

y = 2/3 x

the constant is 2/3

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If you are given that b = 2, then just plug it in:
2(2)-4 = 4-4 = 0

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3 years ago
Your hourly salary increased from $14 to $29. What is the percent increase in your<br> salary?
V125BC [204]

Answer:

107%

Step-by-step explanation:

$14 to $29

Original number/start = $14

End number = $29

Increase = $29 - $14 = $15

% increase = Increase ÷ Original Number × 100

Substitute in known values

% increase = 15 ÷ 14 × 100

Divide

% increase = 1.07 × 100

Multiply

% increase = 107%

The percentage increase is 107%

Hope this helps :)

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3 years ago
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2 years ago
Assume that a procedure yields a binomial distribution with a trial repeated n times. Use the binomial probability formula to fi
Keith_Richards [23]

Answer:

P(X = 12) = 0.0064.

Step-by-step explanation:

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

In this problem we have that:

n = 30, p = 0.2

We want P(X = 12). So

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 12) = C_{30,12}.(0.2)^{12}.(0.8)^{18} = 0.0064

P(X = 12) = 0.0064.

6 0
3 years ago
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