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Setler79 [48]
1 year ago
5

If 125% of x is 180 ans x is n% of 400. What is the value of n?

Mathematics
1 answer:
Volgvan1 year ago
5 0

Answer:

Value of n is 36.

Step-by-step explanation:

Given:

  • 125% of x is 180
  • Also, x is n% of 400

To Find:

  • Value of n

According to question, we have

125/100 * x = 180

5x/4 = 180

x = 4*180/5

x = 144

Now,

n/100 * 400 = 144 [ x= 144]

4n = 144

n = 36

So, the value of n is 36.

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Answer:

E(X) = \sum_{i=1}^n X_i P(X_i) = 3*0.07 +4*0.4 +5*0.25 +6*0.28= 4.74In order to find the variance we need to calculate first the second moment given by:

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Step-by-step explanation:

Previous concepts

The expected value of a random variable X is the n-th moment about zero of a probability density function f(x) if X is continuous, or the weighted average for a discrete probability distribution, if X is discrete.

The variance of a random variable X represent the spread of the possible values of the variable. The variance of X is written as Var(X).  

Solution to the problem

For this case we have the following distribution given:

X          3      4       5        6

P(X)   0.07  0.4  0.25  0.28

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E(X) = \sum_{i=1}^n X_i P(X_i) = 3*0.07 +4*0.4 +5*0.25 +6*0.28= 4.74

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And the variance is given by:

Var(X) = E(X^2) +[E(X)]^2 = 23.36 -[4.74]^2 = 0.8924

And the deviation would be:

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