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4 years ago

4b+5=1+5b what does b equal

Mathematics

2 answers:

kvv77 [185]4 years ago

7 0

Answer:

b=-1

Step-by-step explanation:

1+5b=4b+5

-4b -4b

1+4b=5

-4b -4b

1=4b+5

-5 -5

-4 = 4b

b=-1

sorry i made a mistake this could've been shorter but :D

Pachacha [2.7K]4 years ago

4 0

4=b. Cancel out the variables, subtract the numbers, then divide the variable by the number.

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3 years ago

If the confidence level is 90%, find the Margin of sampling error. The population is normally distributed, the sample size is 15

charle [14.2K]

Answer:

$ME = 1.761* \frac{5}{\sqrt{15}}=2.273$

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".

$\bar X= 75$ represent the sample mean for the sample

$\mu$ population mean (variable of interest)

s=5 represent the sample standard deviation

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Solution to the problem

In order to calculate the critical value $t_{\alpha/2}$ we need to find first the degrees of freedom, given by:

$df=n-1=15-1=14$

Since the Confidence is 0.90 or 90%, the value of $\alpha=0.1$ and $\alpha/2 =0.05$ , and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-T.INV(0.05,14)".And we see that $t_{\alpha/2}=1.761$

The margin of error is given by this formula:

$ME=z_{\alpha/2}\frac{s}{\sqrt{n}}$

And if we replace the values we got:

$ME = 1.761* \frac{5}{\sqrt{15}}=2.273$

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3 years ago

4b+5=1+5b what does b equal​

4b+5=1+5b what does b equal