How many yards are in 400 meters

What is 71,781 divided by 8

Mashutka [201]

The answer is 8,972.625

7 0

3 years ago

Somebody please help me on this!!

miskamm [114]

80 degrees because it decreases by a half each time so by the time it is E (the fourth letter) it has gotten to 20 so the answer is 160

5 0

3 years ago

Read 2 more answers

Which statement best reflects the solution(s) of the equation?

Inessa [10]

x=2 is only solution while x=1 is extraneous solution

Option C is correct.

Step-by-step explanation:

We need to solve the equation $\frac{1}{x-1}+\frac{2}{x}=\frac{x}{x-1}$ and find values of x.

Solving:

Find the LCM of denominators x-1,x and x-1. The LCM is x(x-1)

Multiply the entire equation with x(x-1)

$\frac{1}{x-1}+\frac{2}{x}=\frac{x}{x-1}\\\frac{1}{x-1}*x(x-1)+\frac{2}{x}*x(x-1)=\frac{x}{x-1}*x(x-1)\\Cancelling\,\,out\,\,the\,\,same\,\,terms:\\x+2(x-1)=x^2\\x+2x-2=x^2\\3x-2=x^2\\x^2-3x+2=0$

Now, factoring the term:

$x^2-2x-x+2=0\\x(x-2)-1(x-2)=0\\(x-1)(x-2)=0\\x-1=0\,\,and\,\, x-2=0\\x=1\,\,and\,\, x=2$

The values of x are x=1 and x=2

Checking for extraneous roots:

Extraneous roots: The root that is the solution of the equation but when we put it in the equation the answer turns out not to be right.

If we put x=1 in the equation, $\frac{1}{x-1}+\frac{2}{x}=\frac{x}{x-1}$ the denominator becomes zero i.e

$\frac{1}{1-1}+\frac{2}{1}=\frac{1}{1-1}\\\frac{1}{0}+2=\frac{1}{0}$

which is not correct as in fraction anything divided by zero is undefined. So, x=1 is an extraneous solution.

If we put x=2 in the equation,

$\frac{1}{x-1}+\frac{2}{x}=\frac{x}{x-1}$

$\frac{1}{2-1}+\frac{2}{2}=\frac{2}{2-1}\\\frac{1}{1}+1=\frac{2}{1}\\1+1=2\\2=2$

So, x=2 is only solution while x=1 is extraneous solution

Option C is correct.

Keywords: Solving Equations and checking extraneous solution

Learn more about Solving Equations and checking extraneous solution at:

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5 0

3 years ago

At what rate will £420 yield<br>£70 in 4 years

Bumek [7]

Answer:

4.17%

Step-by-step explanation:

Rate = interest earned / (principal x time)

70 / (4 x 420) = = 0.0417 = 4.17%

6 0

2 years ago

The proportion of a population with a characteristic of interest is p = 0.37. What is the standard deviation of the sampling dis

lukranit [14]

The standard deviation (SD) of a sample proportion obtained when the sample size is 1,600 is equal to 0.0121.

<h3>What is a sample proportion?</h3>

A sample proportion can be defined as the proportion of individuals in a sample that have a specified characteristic or trait.

Mathematically, sample proportion can be calculated by using this formula:

$\hat{p} = \frac{x}{n}$

Where:

x represent the number of individuals with a specified characteristic.
n represent the total number of individuals in a sample.

In Mathematics, the standard deviation (SD) of a sample proportion obtained when the sample size is 1,600 can be calculated by using this formula:

Standard deviation (SD) = √(p(1 - p)/n)

Substituting the given parameters into the formula, we have;

Standard deviation (SD) = √(0.37(1 - 0.37)/1,600)

Standard deviation (SD) = √(0.37(0.63)/1,600)

Standard deviation (SD) = √(0.2331)/1,600)

Standard deviation (SD) = √0.0001457

Standard deviation (SD) = 0.0121.

Read more on standard deviation here: brainly.com/question/14467769

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8 0

1 year ago