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4 years ago

What is the simplified form of 3 over x squared all over 1 over x-cubed ?

Mathematics

2 answers:

Ainat [17]4 years ago

8 0

5 I think I am a 5 th

Karo-lina-s [1.5K]4 years ago

4 0

Answer:

The answer is 3x....

Step-by-step explanation:

Lets re-write the given expression:

3/x² ÷ 1/x³

Now we know that the division will be changed into multiplication and the denominator of the second term will become numerator.

3/x² * x³/1

Now the expression becomes:

3x³/x²

According to the laws of exponents when you divide variables, just find the difference of their exponents. Therefore,

3x³/x² = 3x³-² = 3x

Thus the answer is 3x....

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3 years ago

Find the variance of the following data. Round your answer to one decimal place. x 1 2 3 4 5 P(X=x) 0.3 0.2 0.2 0.1 0.2

Reptile [31]

The variance of a distribution is the square of the standard deviation

The variance of the data is 2.2

<h3>How to calculate the variance</h3>

Start by calculating the expected value using:

$E(x) = \sum x* P(x)$

So, we have:

$E(x) = 1 * 0.3 + 2* 0.2 +3 * 0.2 + 4 * 0.1 + 5 * 0.2$

This gives

$E(x) = 2.7$

Next, calculate E(x^2) using:

$E(x^2) = \sum x^2* P(x)$

So, we have:

$E(x^2) = 1^2 * 0.3 + 2^2* 0.2 +3^2 * 0.2 + 4^2 * 0.1 + 5^2 * 0.2$

$E(x^2) = 9.5$

The variance is then calculated as:

$Var(x) = E(x^2) - (E(x))^2$

So, we have:

$Var(x) = 9.5 - 2.7^2$

$Var(x) = 2.21$

Approximate

$Var(x) = 2.2$

Hence, the variance of the data is 2.2