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3 years ago

Can someone helppp plss show work

Mathematics

2 answers:

Vladimir79 [104]3 years ago

3 0

Answer:

m = 3/5

b = -5

Step-by-step explanation:

Equation for y-intercept form is y=mx + b

No math is needed, you have the answer already

faust18 [17]3 years ago

3 0

put the number in y=mx+b form

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3 years ago

Monica measures the number of bacteria that are living on her petri dish. Each day, she measures the amount of change in the num

den301095 [7]

Answer:

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Step-by-step explanation:

The sequence 2, -8, 32, -128 has a first term (a1) of 2 and a common ratio (r) of -8/2 = -4. The sum of n terms is given by ...

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4 years ago

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4 years ago

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3 years ago

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Answer:

$654.16-2.02\frac{165.23}{\sqrt{42}}=602.66$

$654.16+2.02\frac{165.23}{\sqrt{42}}=705.66$

So on this case the 95% confidence interval would be given by (602.66;705.66)

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".

$\bar X=654.16$ represent the sample mean

$\mu$ population mean (variable of interest)

s=165.23 represent the sample standard deviation

n=42 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)

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

$df=n-1=42-1=41$

Since the Confidence is 0.95 or 95%, the value of $\alpha=0.05$ and $\alpha/2 =0.025$ , and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-T.INV(0.025,41)".And we see that $t_{\alpha/2}=2.02$

Now we have everything in order to replace into formula (1):

$654.16-2.02\frac{165.23}{\sqrt{42}}=602.66$

$654.16+2.02\frac{165.23}{\sqrt{42}}=705.66$

So on this case the 95% confidence interval would be given by (602.66;705.66)

7 0

4 years ago