All categories

2 years ago

Which statement is true about the equations -3x + 4y = 12 and 1/4x-1/3y= 1?

Mathematics

1 answer:

Contact [7]2 years ago

4 0

Answer:

the third selection is corret

Step-by-step explanation:

Ax + by + c = 0, k = - a/b.

so The slope of the first line = $\frac{4}{3}$ ,

the slope of the second line = $\frac{4}{3}$ ;

So these two lines are parallel and they don't intersect

You might be interested in

PTC is a substance that has a strong bitter taste for some people and is tasteless for others. The ability to taste PTC is inher

lana66690 [7]

Answer:

a) $n=\frac{0.76(1-0.76)}{(\frac{0.01}{1.64})^2}=4905.83$

And rounded up we have that n=4906

b) For this case since we don't have prior info we need to use as estimatro for the proportion $\hat p =0.5$

$n=\frac{0.5(1-0.5)}{(\frac{0.01}{1.64})^2}=6724$

And rounded up we have that n=6724

Step-by-step explanation:

We need to remember that the confidence interval for the true proportion is given by :

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

Part a

The estimated proportion for this case is $\hat p =0.76$

Our interval is at 90% of confidence, and the significance level is given by $\alpha=1-0.90=0.1$ and $\alpha/2 =0.05$ . The critical values for this case are:

$z_{\alpha/2}=-1.64, t_{1-\alpha/2}=1.64$

The margin of error for the proportion interval is given by this formula:

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

The margin of error desired is given $ME =\pm 0.01$ and we are interested in order to find the value of n, if we solve n from equation (a) we got:

$n=\frac{\hat p (1-\hat p)}{(\frac{ME}{z})^2}$ (b)

Replacing we got:

$n=\frac{0.76(1-0.76)}{(\frac{0.01}{1.64})^2}=4905.83$

And rounded up we have that n=4906

Part b

For this case since we don't have prior info we need to use as estimatro for the proportion $\hat p =0.5$

$n=\frac{0.5(1-0.5)}{(\frac{0.01}{1.64})^2}=6724$

And rounded up we have that n=6724

3 0

3 years ago

I'm not sure of my answer I know that you have to multiply diagonally then add or subtract I'm not sure.

Dima020 [189]

-18(1) = -18,right?

4(3) = 12, right?

-18 - 12 = -30

From the looks of it, we had to "Subtract" the outcome of each problem that we went over

You're correct: -30 (option A.) would be your answer

7 0

3 years ago

A = 5bc<br> b = -4 and c = -3<br> Work out the value of a.

Misha Larkins [42]

Step-by-step explanation:

a=5*-4*-3

a=-2

hope this helps

4 0

3 years ago

An ant can run an inch per second. How long will it take the same ant to run a foot?

RideAnS [48]

12 seconds bc 12 in in a foor

8 0

3 years ago

Read 2 more answers

After dividing a piece of wood into four equal sections,each section is 4 in.long.How long was the piece of wood I started with

Cerrena [4.2K]

I'm going to out on a limb and say 16 in.

4 pieces * 4 in. = 16

5 0

3 years ago