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3 years ago

Solve the inequality and enter your solution as an inequality comparing the

Mathematics

1 answer:

Amiraneli [1.4K]3 years ago

4 0

Answer:

x - 33 < 8

x < 8 + 33

x < 41

x= {40, 39, 38, . . . }

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How many solutions exist for the given equation?

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Answer:

infinitely many

Step-by-step explanation:

12x + 1 = 3(4x + 1) - 2

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Many professional schools require applicants to take a standardized test.

Mars2501 [29]

Answer:

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Step-by-step explanation:

hope this helps :)

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3 years ago

You want to obtain a sample to estimate a population mean. Based on previous evidence, you believe the population standard devia

gtnhenbr [62]

Answer:

$n=(\frac{2.58(58.2)}{1})^2 =22546.82 \approx 22547$

So the answer for this case would be n=22547 rounded up to the nearest integer

Step-by-step explanation:

Let's define some notation

$\bar X$ represent the sample mean

$\mu$ population mean (variable of interest)

$\sigma=58.2$ represent the population standard deviation

n represent the sample size

$ME =1$ represent the margin of error desire

The margin of error is given by this formula:

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

And on this case we have that ME =+1 and we are interested in order to find the value of n, if we solve n from equation (a) we got:

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

The critical value for 99% of confidence interval now can be founded using the normal distribution. The significance would be $\alpha=0.01$ and the critical value $z_{\alpha/2}=2.58$ , replacing into formula (b) we got:

$n=(\frac{2.58(58.2)}{1})^2 =22546.82 \approx 22547$

So the answer for this case would be n=22547 rounded up to the nearest integer

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3 years ago