(PLEASE HELP/LAST QUESTION)

Mathematics

1 answer:

Mashcka [7]2 years ago

8 0

Answer:

Parallel: y=6x-19

Perpendicular: y=-1/6x-0.5

Step-by-step explanation:

To be parallel to a line, the slope must be the same as the line. Then, you plug 3,-1 into y=6x, and add or subtract to balance the equation. You do the same to find the perpendicular line, but the slope must be the negative reciprocal of the line it is perpendicular to.

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Write the fraction 14/2 as a mixed number

Alja [10]

14/2 results in 7.
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Nuno set up a series of dominoes. he starts by knocking over 10 dominoes. every second after that, the number of dominoes that a

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It will take 8 seconds for all of the dominoes to fall over.

This will be an exponential function. To find the growth rate, we can write out the terms of the sequence that goes along with it: 10, 20, 40, ...

"Growth rate" is the same as percent of increase or decrease. We find the amount of increase and divide by the original amount: 20-10 = 10 increase; 10/10 = 1.

The exponential function is of the form
f(x) = a*(1+r)ˣ, where a is the initial value (10), r is the growth rate (1), and x is the number of time periods. Using the variables given to us in the problem along with this information, we have:

$d(s)=10(1+1)^s
\\
\\2560=10(2)^s$

Divide both sides by 10:
$\frac{2560}{10}=\frac{10(2)^s}{10}
\\
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We will use logarithms to solve this:
$\log_2 256=s
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Novay_Z [31]

Answer:

$ME=z_{\alpha/2}\frac{\sigma}{\sqrt{n}}$ (1)

$n=(\frac{z_{\alpha/2} s}{ME})^2$ (2)

The critical value for 95% of confidence interval now can be founded using the normal distribution. And in excel we can use this formla to find it:"=-NORM.INV(0.025,0,1)", and we got $z_{\alpha/2}=1.96$ , replacing into formula (2) we got:

$n=(\frac{1.96(0.05)}{0.02})^2 =24.01$

So the answer for this case would be n=25 rounded up to the nearest integer

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 for the sample