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2 years ago

5x/x^2-9 + 7/x+3 Simplify

Mathematics

1 answer:

rjkz [21]2 years ago

4 0

5x ÷ x² - 9 + 7 ÷ x + 3

Write the division as a fraction:

$\frac{5x}{x^{2} }\\$ - 9 + $\frac{7}{x}$ + 3

Simplify the expression:

$\frac{5}{x}$ - 9 + $\frac{7}{x}$ + 3

Calculate the sum:

$\frac{5}{x}$ - 6 + $\frac{7}{x}$

Write all numerators above the common denominator:

$\frac{5 - 6x + 7}{x}$

Add the numbers and you get the final answer:

$\frac{12-6x}{x}$

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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

Read more about variance at:

brainly.com/question/15858152

4 0

1 year ago

7 ∙ 1 – 4 ∙ 1/4. Please answer!!!

vazorg [7]

Answer: 3/4

Step-by-step explanation: Doing order of operations we first do 7x1=7, then 7-4=3, then finally do 4x1/4=3/4.

Hope this helps! :)

5 0

2 years ago

Read 2 more answers

A local school held a charity coat drive for two months the school collected 269 coats in the first month 542 coats were collect

adell [148]

Answer:

School collected 273 coats in second month.

Step-by-step explanation:

Given

Total number of coats collected in 2 months = 542

Number of coats collected in first month = 269

We need to find the number of coat school collected in second month.

Solution:

Now we can say that;

Total number of coats collected in 2 months is sum of Number of coats collected in first month and Number of coats collected in Second month.

Also We can say that;

Number of coats collected in Second month is equal to Total number of coats collected in 2 months minus Number of coats collected in first month.

framing in equation form we get;

Number of coats collected in Second month = $542-269 =273$

Hence School collected 273 coats in second month.

4 0

3 years ago

Write the vertices of each figure

saw5 [17]

Answer:

ABCDE = 5 vertices
PQR = 3 vertices
VWXYZ = 5 vertices
DEFF = 4 vertices

Explanation:

3 0

2 years ago

How do you solve by substitution in algebra?

Elden [556K]

Ok so lets say we have a system of equations:

y = x + 1
x + y = 5

All you would do is plug in what is equal to the variable so:

x + x + 1 = 5

Then you would just simplify and solve

2x + 1 = 5
-1 -1
_________

2x = 4
-- --
2 2

x=2

7 0

3 years ago