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slamgirl [31]
3 years ago
14

 Can someone pleaseeee help if you’re correct I’ll give u brainlist

Mathematics
1 answer:
marusya05 [52]3 years ago
6 0

Answer:

JL = 8 m

KD = 8 m

Step-by-step explanation:

By 45° - 45° - 90° triangle theorem:

JK  =  \frac{1}{ \sqrt{2} } JD \\  \\JK  =  \frac{1}{ \sqrt{2} }  \times 8 \sqrt{2}  \\  \\  \red{JK  =   \boxed{8 }}\: m \\  \\ KD=  \frac{1}{ \sqrt{2} } JD \\  \\KD  =  \frac{1}{ \sqrt{2} }  \times 8 \sqrt{2}  \\  \\ \purple{ KD  =   \boxed{8 } }\:m\\  \\

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Answer:

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

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

And for this case the 95% confidence interval is given by (2.13; 2.37)

We have a point of estimate for the sample mean with this formula:

\bar X = \frac{Upper+ Lower}{2}= \frac{3.37+2.13}{2}= 2.75

And for the margin of error we have the following estimation:

ME= \frac{Upper -Lower}{2}= \frac{3.37-2.13}{2}= 0.62

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

\mu population mean (variable of interest)

s represent the sample standard deviation

n 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)

And for this case the 95% confidence interval is given by (2.13; 2.37)

We have a point of estimate for the sample mean with this formula:

\bar X = \frac{Upper+ Lower}{2}= \frac{3.37+2.13}{2}= 2.75

And for the margin of error we have the following estimation:

ME= \frac{Upper -Lower}{2}= \frac{3.37-2.13}{2}= 0.62

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3 years ago
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