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3 years ago

A^2-b^2 a^2b-ab^2-------------- ÷ ---------------a^2b+ab^2 a^2b- ab^2

Mathematics

1 answer:

Damm [24]3 years ago

5 0

Answer:

$\huge{= \frac{ {a}^{2} - {b}^{2} }{ {a}^{2b} + {ab}^{2} }}$

Step-by-step explanation:

$\huge{ \frac{ {a}^{2} - {b}^{2} }{ {a}^{2b} + {ab}^{2} } \div \frac{ {a}^{2b} - {ab}^{2} }{ {a}^{2b} - {ab}^{2} }}$

$\huge{\frac{ {x}^{2} - {b}^{2} }{ {a}^{2b} + {ab}^{2} } \div 1}$

$\huge{\boxed{\green{= \frac{ {a}^{2} - {b}^{2} }{ {a}^{2b} + {ab}^{2} }}}}$

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Write the equation of the line that passes through the points (5, - 1) an (7,-7)

Neko [114]

M=y2-y1/x2-x1
m=-7+1/7-5
m=-6/2 but Simplified Its -3/1 or -3

7 0

3 years ago

A manufacturer reported a sample mean = 22.0 g and a sample standard deviation = 2.5 g based on a sample of 20 of their products

tester [92]

Answer:

$n=(\frac{1.640(2.5)}{2})^2 =4.2 \approx 5$

So the answer for this case would be n=5 rounded up to the nearest integer

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".

$\bar X=22$ represent the sample mean

$\mu$ population mean (variable of interest)

s=2.5 represent the sample standard deviation

n represent the sample size

ME = 2 represent the margin of error accepted

Solution to the problem

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

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

The margin of error is given by this formula:

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

And on this case we have that ME =2 and we are interested in order to find the value of n, if we solve n from equation (2) we got:

$n=(\frac{z_{\alpha/2} s}{ME})^2$ (3)

We can use as estimator for the population deviation the sample deviation $\hat \sigma = s$

The critical value for 90% of confidence interval now can be founded using the normal distribution. And in excel we can use this formla to find it:"=-NORM.INV(0.05;0;1)", and we got $z_{\alpha/2}=1.640$ , replacing into formula (3) we got:

$n=(\frac{1.640(2.5)}{2})^2 =4.2 \approx 5$

So the answer for this case would be n=5 rounded up to the nearest integer

6 0

3 years ago

6. A surveyor walks the perimeter of a piece of government land. He notes that the area of the land

Vlada [557]

Answer:

A) l = w + 900

B) l * w = 4,000,000

B) l = 4,000,000 / w putting this into A)

A) 4,000,000 / w = w + 900

A) 4,000,000 = w^2 +900 w

A) w^2 +900 w - 4,000,000

Solving by quadratic formula

width = 1,600 length = 2,500

Double-Check

1,600 * 2,500 = 4,000,000

Length = width + 900

2,500 = 1,600 + 900

Answer is okay

Step-by-step explanation:

8 0

4 years ago

Help ASAP please with this question.

mr_godi [17]

The answer would be the bottom right one. This is because first, we know that to get the 2 into the one's place to convert it into scientific notation, you move it 3 places which give us 10^-3. Then when multiplying you add the exponents and multiply the other number. -3+4=1 and 2x4=8

Hope this helped!

3 0

4 years ago

Read 2 more answers

Which of the following is a factor of 15x2-14x-8

insens350 [35]

It can be 1 1/3 or -(2/5)

7 0

3 years ago

Read 2 more answers

A^2-b^2 a^2b-ab^2-------------- ÷ ---------------a^2b+ab^2 a^2b- ab^2​

A^2-b^2 a^2b-ab^2-------------- ÷ ---------------a^2b+ab^2 a^2b- ab^2