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2 years ago

Find the equation of the line That is perpendicular to y=-2x+1 and contains the point (8,2)

Mathematics

2 answers:

skelet666 [1.2K]2 years ago

5 0

Answer:

y=.5x-2

Step-by-step explanation:

If one line is perpendicular to another that means that their slopes are negative reciprocals

which means that the slope (or m in y=mx+b) is .5

so far we have

y=.5x+b

to solve for b we plug in (8,2)

2=.5(8)+b

2=4+b

-2=b

therefore our equation is

y=.5x-2

Flauer [41]2 years ago

3 0

Answer:

hope it helps

stay safe healthy and happy.

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2 years ago

Read 2 more answers

A data set includes 108 body temperatures of healthy adult humans having a mean of 98.3degrees°F and a standard deviation of 0.6

mylen [45]

<h2>Answer with explanation:</h2>

The confidence interval for population mean is given by :-

$\overline{x}\pm z_{\alpha/2}\dfrac{\sigma}{\sqrt{n}}$

Given : Sample size : n=106

Sample mean : $\overline{x}=98.3^{\circ}\ F$

Standard deviation : $\sigma= 0.69^{\circ}F$

Significance level : $\alpha: 1-0.99=0.01$

Critical value : $z_{\alpha/2}=2.576$

Then , 99% confidence interval estimate of the mean body temperature of all healthy humans will be :-

$98.3\pm (2.576)\dfrac{0.69}{\sqrt{106}}\\\\\approx98.3\pm0.173=(98.3-0.173,\ 98.3+0.173)=(98.127,\ 98.473)$

Since 98.6 is higher than the upper limit of the confidence interval (98.473), then this suggest that the mean body temperature could be lower then 98.6 degrees.

The best estimate of population mean is always the sample mean. $\mu=\overline{x}=98.3^{\circ}\ F$

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2 years ago

The DVD player shows the time of day as 1:43.

steposvetlana [31]

Answer:

The answer is 2:36

Step-by-step explanation:

The answer is 2:36 because 1:43 plus 56 minutes later would be 2:36

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3 years ago

timothy bought 12 of his cars to the babysitters. these toy cars represent 30% of his toy car collection. what is the total numb

omeli [17]

If 30% of his collection is 12 cars, then we can use the fraction

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3 years ago

If a drug has a concentration of 8.22 mg per 3.039 mL, how many mL are needed to give 7.469 gram of the drug? Round to 1 decimal

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Answer:

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2 years ago