4. What is the result of 3^2x-5x+1 from 8x^2 -2x-9?

Mathematics

1 answer:

lina2011 [118]3 years ago

4 0

Answer:

a) 5 x² + 3 x -10

Step-by-step explanation:

Explanation:-

Given polynomials

3 x² - 5 x + 1 and 8 x² - 2 x -9

Given that

3 x² - 5 x + 1 From 8 x² - 2 x -9

⇒ 8 x² - 2 x -9 - ( 3 x² - 5 x + 1 )

= 8 x² - 2 x -9 - 3 x² + 5 x - 1

= 5 x² + 3 x -10

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patriot [66]

Answer:

8 is the correct answer because coefficient lies before Exponent. Exponent is variable

So 8 is the coefficient.

5 0

3 years ago

A population has a standard deviation of 80. A random sample of 400 items from this population is selected. The sample mean is d

Helga [31]

Answer:

$ME= 1.8808 * \frac{80}{\sqrt{400}} =7.5232$

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".

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

$\mu$ population mean (variable of interest)

$\sigma =80$ represent the population standard deviation

n=400 represent the sample size

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)

Since the Confidence is 0.94 or 94%, the value of $\alpha=0.06$ and $\alpha/2 =0.03$ , and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-NORM.INV(0.03,0,1)".And we see that $z_{\alpha/2}=1.8808$