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3 years ago

what is the equation, in point slope form, for a line that passes through the point 6, -2 and has a slope of -2

Mathematics

1 answer:

tatuchka [14]3 years ago

4 0

The point-slope form:

$y-y_1=m(x-x_1)$

We have the slope m = -2 and the point (6, -2). Substitute:

$y-(-2)=-2(x-6)\\\\\boxed{y+2=-2(x-6)}$

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Express the confidence interval

marissa [1.9K]

Answer:

$\hat p = \frac{0.244+0.326}{2}=0.285$

$ME = \frac{0.326-0.244}{2}=0.041$

$0.285 \pm 0.041$

Step-by-step explanation:

For this case we have a confidence interval given as a percent:

$24.4\% \leq p \leq 32.6\%$

If we express this in terms of fraction we have this:

$0.244 \leq p \leq 0.326$

We know that the confidence interval for the true proportion is given by:

$\hat p \pm z_{\alpha/2} \sqrt{\frac{\hat p(1-\hat p)}{n}}$

And thats equivalent to:

$\hat p \pm ME$

We can estimate the estimated proportion like this:

$\hat p = \frac{0.244+0.326}{2}=0.285$

And the margin of error can be estimaed using the fact that the confidence interval is symmetrical

$ME = \frac{0.326-0.244}{2}=0.041$

And then the confidence interval in the form desired is:

$0.285 \pm 0.041$

7 0

3 years ago

Which of the following are binomials? check all that apply

Ilia_Sergeevich [38]

Answer: A, D, F

Step-by-step explanation: Binomials are the sums of two terms (the sum two monomials). Therefore those with two terms being added are considered binomials.

5 0

3 years ago

Camden is working two summer jobs, making $10 per hour babysitting and making $18 per hour lifeguarding. In a given week, he can

nirvana33 [79]

Answer:

2 hours babysitting

Step-by-step explanation:

First you would multiply 14 by 9 and you would get 162

Then you would Subtract 180 by 162 and you would get 18

So than you would keep on multiplying 10 till you get 20 which would be 2

So therefore your answer would be 2

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3 years ago

PLEASEEEE ANSWER ASAP

Alona [7]

Answer:

x = -1, x = 1

Step-by-step explanation:

Factor the equation. (It's a difference of squares, so we know the form will be (a-b)(a+b).)

$y = x^{2} - 1\\y = (x-1)(x+1)$

Test this by FOILing it out, if you're unsure. This is something it can be good to memorize!

Set it equal to 0.

$0 = (x+1)(x-1)$

Separate the two parenthetical expressions by the Zero Product Property.

$0 = x+1\\0 = x-1$

Solve for x!

$x=-1, x=1$

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3 years ago

What is 1 1/12+4 5/12 pls

lilavasa [31]

Answer:

5 1/3 or 5.333 or 16/3

Step-by-step explanation:

Yespp

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3 years ago

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