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polet [3.4K]
3 years ago
10

When using the binomial formula, which of the following is a correct step in the expansion of (x+y)^4?

Mathematics
1 answer:
Rama09 [41]3 years ago
5 0
(X+y)^2(x+y)^2
(X^2+2xy+y^2)(X^2+2xy+y^2)
X^2(x^2+2xy+y)+2xy(x^2+2xy+y)+y^2(x^2+2xy+y)

X^4+4x^3y+6x^2y^2+4xy^3+y^4 is the answer.i didn't write all the steps as I would have been too long and complicated
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A group of friends were working on a student film that had a budget of $700. They used 42% of their budget on equipment. How muc
goldfiish [28.3K]

Answer:

294

Step-by-step explanation:

100%-> 700

42%->294

5 0
3 years ago
The claim that 40% of those persons who retired from an industrial job before the age of 60 would return to work if a suitable j
Bad White [126]

Answer:

The p-value of the test is of 0.1922 > 0.02, which means that there is not significant evidence to reject the null hypothesis, that is, there is not significant evidence to conclude that the proportion is of less than 40%.

Step-by-step explanation:

Test if the proportion is less than 40%:

At the null hypothesis, we test if the proportion is of at least 0.4, that is:

H_0: p \geq 0.4

At the alternative hypothesis, we test if the proportion is of less than 0.4, that is:

H_1: p < 0.4

The test statistic is:

z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}

In which X is the sample mean, \mu is the value tested at the null hypothesis, \sigma is the standard deviation and n is the size of the sample.

0.4 is tested at the null hypothesis:

This means that \mu = 0.4, \sigma = \sqrt{0.4*0.6}

74 out of the 200 workers sampled said they would return to work

This means that n = 200, X = \frac{74}{200} = 0.37

Value of the test statistic:

z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}

z = \frac{0.37 - 0.4}{\frac{\sqrt{0.4*0.6}}{\sqrt{200}}}

z = -0.87

P-value of the test and decision:

The p-value of the test is the probability of finding a sample proportion below 0.37, which is the p-value of z = -0.87.

Looking at the z-table, z = -0.87 has a p-value of 0.1922.

The p-value of the test is of 0.1922 > 0.02, which means that there is not significant evidence to reject the null hypothesis, that is, there is not significant evidence to conclude that the proportion is of less than 40%.

7 0
2 years ago
Which are acute, obtuse, or right?
qaws [65]
5,7 and 8 are right angles, and 6 is an acute angle this is because of u look at 9 and 10 you can see a little box looking thing under the h and if u do that to all of them 5, 7 and 8 can fit the little box but 6 you can’t because it is an acute angle. Hope this helped!
8 0
3 years ago
16 inches to centimeters
asambeis [7]

Answer:

In centimeters, it would be 40.64 centimeters.

7 0
3 years ago
Read 2 more answers
Every positive real number has a positive and a negative square root, the ________ root is called the principal root. *
fomenos

9514 1404 393

Answer:

  B) positive

Step-by-step explanation:

For even-index roots, which may be either positive or negative, the <u> </u><u><em>positive</em></u><u> </u> root is called the principal root.

5 0
2 years ago
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