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Alexxx [7]
3 years ago
12

The product of two consecutive even integers is 360360. find the integers.

Mathematics
1 answer:
professor190 [17]3 years ago
5 0
There are no 2 consecutive integers which give a product 360360
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A doctor wants to estimate the mean HDL cholesterol of all​ 20- to​ 29-year-old females. The number of subjects needed to estima
Ludmilka [50]

Answer:

n=(\frac{1.64(14.7)}{3})^2 =64.57 \approx 65

So the answer for this case would be n=65 rounded up to the nearest integer

And the sample size would decrease by 160-65=95 subjects

Step-by-step explanation:

1) 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)

s represent the sample standard deviation

n represent the sample size  

ME represent the margin of error

The confidence interval for the mean is given by the following formula:

\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}   (1)

2) Solution to the problem

Since the new 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: "=-NORM.INV(0.05,0,1)".And we see that z_{\alpha/2}=1.64

Assuming that the deviation is known we can express 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 =\pm 3 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)

Replacing into formula (b) we got:

n=(\frac{1.64(14.7)}{3})^2 =64.57 \approx 65

So the answer for this case would be n=65 rounded up to the nearest integer

And the sample size would decrease by 160-65=95 subjects

8 0
3 years ago
Qt + a = -1 <br><br> when q = 3 and t = 4
Pachacha [2.7K]

Answer:

a=-13

Step-by-step explanation:

We can use substitution to find the value of a:

qt+a=-1

3(4)+a=-1

12+a=-1

a=-13

Hope this helps :)

5 0
3 years ago
PLZ HELP WILL MARK BRAINLIEST
azamat

You can't really tell anything without the picture of the graph its self

5 0
2 years ago
Write an equation in point-slope form of the line that passes through the given point and has the given slope. (3,5);m=-1
KIM [24]

\bf (\stackrel{x_1}{3}~,~\stackrel{y_1}{5})~\hspace{10em} slope = m\implies -1 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-5=-1(x-3) \\\\\\ y-5=-x+3\implies y=-x+8

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In analyzing a line graph, why is slope important?
alina1380 [7]

Answer:

The slope of the line reflects the actual d.

7 0
3 years ago
Read 2 more answers
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