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2 years ago

2. If a= 2, b= 3 and c= 3,evaluate: i) a+ 2b ii) a+b+c

Mathematics

2 answers:

scoundrel [369]2 years ago

7 0

Answer:

$i)a + 2b = 2 + 2(3) = 2 + 6 = 8 \\ ii)a + b + c = 2 + 3 + 3 = 2 + 6 = 8$

beks73 [17]2 years ago

7 0

Answer:

a = 2, b = 3 and c = 3

a + 2b

2 + 2(3) = 2 + 6 = 8

a + b + c

2 + 3 + 3 = 8

Thus, The answer of i.) is 8 and ii.) is 8

<u>-TheUnknownScientist</u><u> 72</u>

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Step-by-step explanation:

The population of the small town = 39,668

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3 years ago

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ss7ja [257]

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3 years ago

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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 $z_{\alpha/2}=1.8808$

The margin of error is given by:

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

4 0

4 years ago

2. If a= 2, b= 3 and c= 3,evaluate: i) a+ 2b ii) a+b+c​

2. If a= 2, b= 3 and c= 3,evaluate: i) a+ 2b ii) a+b+c