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3 years ago

Can a linear equation and a linear inequality be solved in the same way

1 answer:

8 0

You can solve them in the same way. you can add any positive or negative number to both the sides of an inequality.Also you can multiply or divide both sides of an inequality by any positive number hope this helps. :)

You might be interested in

Researchers are interested if a school breakfast program leads to taller children. Assume that the population of all 5 year-old

DedPeter [7]

Answer:

$39-1.96\frac{1}{\sqrt{25}}=38.608$

$39+1.96\frac{1}{\sqrt{25}}=39.392$

So on this case the 95% confidence interval would be given by (38.608;39.392)

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

$\bar X=39$ represent the sample mean for the sample

$\mu$ population mean (variable of interest)

$\sigma=1$ represent the population standard deviation

n=25 represent the sample size

Solution to the problem

The confidence interval for the mean is given by the following formula:

$\bar X \pm z_{\alpha/2}\frac{\sigma}{\sqrt{n}}$ (1)

The margin of error is given by:

$ME= z_{\alpha/2}\frac{\sigma}{\sqrt{n}}$

Since the Confidence is 0.95 or 95%, the value of $\alpha=0.05$ and $\alpha/2 =0.025$ , and we can use excel, a calculator or a tabel to find the critical value. The excel command would be: "=-NORM.INV(0.025,0,1)".And we see that $z_{\alpha/2}=1.96$

And replacing we got:

$ME= 1.96 *\frac{1}{\sqrt{25}}= 0.392$

Now we have everything in order to replace into formula (1):

$39-1.96\frac{1}{\sqrt{25}}=38.608$

$39+1.96\frac{1}{\sqrt{25}}=39.392$

So on this case the 95% confidence interval would be given by (38.608;39.392)

7 0

3 years ago

What is the greatest common factor for both terms: 24x + 8

Lyrx [107]

$24x=\boxed{2}\cdot\boxed{2}\cdot\boxed{2}\cdot3\cdot x\\\\8=\boxed{2}\cdot\boxed{2}\cdot\boxed{2}\\\\GCF(24x,\ 8)=\boxed{2}\cdot\boxed{2}\cdot\boxed{2}=8\\\\24x+8=8(3x+1)$

3 0

3 years ago

Convert 12 1/2% to a simplified fraction.

Scorpion4ik [409]

The answer is 1/8, hope this helps you :)

5 0

2 years ago

Read 2 more answers

-3x minus 2 minus -6x = -4 minus -4x plus 12

DochEvi [55]

-3x-2-6x=-4-<em>(-4x)</em>+12

-9x-2=-16x+12

7x=14

x=2.

You probably got confused with the italicized part.

6 0

3 years ago

What is numbers are difference of 5

stepladder [879]

Step-by-step explanation:

let the numbers x and y

so x + y =13

x - y = 5

add two equations together

2x = 18

divide both side by 2

x = 9

sub in any equation

9 + y =13

y = 4

the numbers are 9 and 4

8 0

3 years ago