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3 years ago

How do I write this in slope intercept form: (-3,-4) and (4,-3)

1 answer:

7 0

Slope intercept form is y = mx + b

Pick one of the coordinates, I’ll use (-3,-4) as the example.

Coordinates are just numbers plugged in for (x,y).

This means -3 would be your x and -4 would be your y.

So plug these numbers into the equation and you get -4 = m(-3) + b.

M is slope and to find slope, you need to do (y2-y1) / (x2-x1).

In other words, it would be (-3 - -4) / (4 - -3) = 1/7 which is your slope (m).

Now plug that in for m to get the b variable.

-4 = 1/7(-3) + b.

B = -3.57

Your answer is y = 1/7x -3.57

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Rainbow [258]

Answer:

C = 2πr or C = πd

Step-by-step explanation:

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2 years ago

Brewed decaffeinated coffee contains some caffeine. We want to estimate the amount of caffeine in 8 ounce cups of decaf coffee a

rusak2 [61]

Answer:

We would have to take a sample of 62 to achieve this result.

Step-by-step explanation:

Confidence level of 95%.

We have that to find our $\alpha$ level, that is the subtraction of 1 by the confidence interval divided by 2. So:

$\alpha = \frac{1 - 0.95}{2} = 0.025$

Now, we have to find z in the Ztable as such z has a pvalue of $1 - \alpha$ .

That is z with a pvalue of $1 - 0.025 = 0.975$ , so Z = 1.96.

Now, find the margin of error M as such

$M = z\frac{\sigma}{\sqrt{n}}$

In which $\sigma$ is the standard deviation of the population and n is the size of the sample.

Assume that the standard deviation in the amount of caffeine in 8 ounces of decaf coffee is known to be 2 mg.

This means that $\sigma = 2$

If we wanted to estimate the true mean amount of caffeine in 8 ounce cups of decaf coffee to within /- 0.5 mg, how large a sample would we have to take to achieve this result?

We would need a sample of n.

n is found when $M = 0.5$ . So

$M = z\frac{\sigma}{\sqrt{n}}$

$0.5 = 1.96\frac{2}{\sqrt{n}}$

$0.5\sqrt{n} = 2*1.96$

Dividing both sides by 0.5

$\sqrt{n} = 4*1.96$

$(\sqrt{n})^2 = (4*1.96)^2$

$n = 61.5$

Rounding up

We would have to take a sample of 62 to achieve this result.

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3 years ago

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kow [346]

Answer:

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3 years ago

What is the square root of 5

Zigmanuir [339]

Answer:

2.236

Step-by-step explanation:

you could estimate it to be between 2 and 3 (because 5 is between 4 and 9)

or you just put it into a calculator

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3 years ago

Two friends argue over who brushes their teeth more often. Who is more likely to brush both morning and evening? Assume all even

dolphi86 [110]

Answer:

Step-by-step explanation:

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3 years ago