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3 years ago

Please help me I'm so bad at math and doing AFDA really doesn't help..

Mathematics

1 answer:

Mama L [17]3 years ago

4 0

Answer:

4x²√4√6√x⁶√x

Step-by-step explanation:

4x²√(24x⁷)

The above expression can be simplified as follow:

4x²√(24x⁷)

Recall

√(MN) = √M × √N = √M√N

Thus,

4x²√(24x⁷) = 4x²√24√x⁷

But:

√24 = √(4×6) = √4√6

√x⁷ = √x⁶√x

Thus,

4x²√24√x⁷ = 4x²√4√6√x⁶√x

Therefore,

4x²√(24x⁷) = 4x²√4√6√x⁶√x

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A researcher takes a simple random sample of 83 homes in a city and finds that the mean square footage is 1628 with a standard d

Anna [14]

Answer: (1583.63, 1672.37)

Step-by-step explanation:

Given : Sample size : n= 83

Sample mean : $\overline{x}=1628$

Sample standard deviation : $\sigma=243$

The population standard deviation $(\sigma)$ is unknown .

The confidence interval for population mean :

$\overline{x}\pm t_{\alpha/2}\dfrac{s}{\sqrt{n}}$

For 90% confidence , significance level = $\alpha=1-0.90=0.10$

Using t-distribution table , Critical t-value = $t_{(\alpha/2, n-1)}=t_{0.05,82}=1.6636$

, where n-1 is the degree of freedom.

Now , 90% confidence interval for the mean square footage of all the homes in that city will be :-

$1628\pm (1.6636)\dfrac{243}{\sqrt{83}}\\\\ 1628\pm (1.6636)(26.672715)\\\\\\\\\approx1628\pm 44.37\\\\=(1628- 44.37,\ 1628+ 44.37)\\\\=(1583.63,\ 1672.37)$

Hence, the 90% confidence interval for the mean square footage of all the homes in that city = (1583.63, 1672.37)

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3 years ago

The owner of a local restaurant surveyed her staff on their preference of uniform color. The results are displayed in the table

gayaneshka [121]

Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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3 years ago

Mr.O'Connor had $90 to spend at a football game. He spent 31/45 on his ticket. Then, he spent 3/7 of his remaining money at the

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Answer:

Step-by-step explanation:

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3 years ago