All categories

3 years ago

Find the equations of the line. Y=x +

Mathematics

2 answers:

Tomtit [17]3 years ago

7 0

Answer:

y = 2/3x + 4

Step-by-step explanation:

Find slope (or m):

m = y2 - y1 / x2 - x1

Pick any 2 coordinates: I will pick (0, 4) and (3, 6).

m = 6 - 4 / 3 - 0

m = 2 / 3

m = 2/3

Find y-intercept (or b):

The y-intercept is when x = 0; in this case when x = 0, y = 4.

Shalnov [3]3 years ago

3 0

Answer:

y=2/3x+4

Step-by-step explanation:

You might be interested in

Y= 1/2x+ 2 to make the x the subject.

timofeeve [1]

Answer:

$x=2y-4$

Step-by-step explanation:

$y=\frac{1}{2} x+2$

"To make x the subject" means to have the equation with all the terms in x on one side. As of now, y is the subject of the equation.

You start by subtracting 2 from both sides, you should get the following.

$y-2=\frac{1}{2} x$

Then you multiply by 2 from both sides, you should end up with the following.

$2(y-2)=x$

Therefore, you get the following.

$x=2(y-2)$

Finally, you distribute and get the answer.

$x=2y-4$

5 0

2 years ago

A simple random sample of electronic components wil be selected to test for the mean lifetime in hours. Assume that component li

Serjik [45]

Answer:

189 components must be sampled.

Step-by-step explanation:

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

$\alpha = \frac{1 - 0.99}{2} = 0.005$

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 $1 - 0.005 = 0.995$ , so Z = 2.575.

Now, find the margin of error M as such

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

Assume that component lifetimes are normally distributed with population standard deviation of 16 hours.

This means that $\sigma = 16$

How many components must be sampled so that a 99% confidence interval will have margin of error of 3 hours?

n components must be sampled.

n is found when M = 3. So

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

$3 = 2.575\frac{16}{\sqrt{n}}$

$3\sqrt{n} = 2.575*16$

$\sqrt{n} = \frac{2.575*16}{3}$

$(\sqrt{n})^2 = (\frac{2.575*16}{3})^2$

$n = 188.6$

Rounding up:

189 components must be sampled.

4 0

3 years ago

What is the simplified version of −(−3)2−−−−−−√?

erastovalidia [21]

6+1ty is the best thing to do with this

5 0

3 years ago

The quotient of a number and 7 is greater than or equal to 20

Rina8888 [55]

Answer:

a is greater than or equal to 140

Step-by-step explanation:

Multiply both sides by 7, which cancels out the 7 and turns 20 into 140

6 0

2 years ago

Escriba larazon entre la distancia (d)recorrida por un automóvil y el tiempo (t)empleando velocidad (v) es una razón entre dista

Romashka [77]

Answer:

V = d / t

Step-by-step explanation:

La velocidad se define como la relación entre la diatancia cubierta por un cuerpo y el tiempo necesario para cubrir esa distancia.

Si el tiempo empleado se da como (t)

La distancia recorrida se da como (d)

Podemos escribir la velocidad (V) en términos de disance y tiempo como;

V = d / t

4 0

3 years ago

Find the equations of the line. Y=____x + ____

Find the equations of the line. Y=x +