Given <br> m<br> ∥<br> n<br> m∥n, find the value of x.

Is the system of equations consistent and independent, consistent and dependent, or inconsistent? y=4x−4y=−4x 4 Select the corre

Amiraneli [1.4K]

System of equations helps us to compare two different situations. The system is Independent Consistent System.

<h3>What is System of equation?</h3>

Inconsistent System

A system of equations to have no real solution, the lines of the equations must be parallel to each other.

Consistent System

1. Dependent Consistent System

A system of the equation to be Dependent Consistent System the system must have multiple solutions for which the lines of the equation must be coinciding.

2. Independent Consistent System

A system of the equation to be Independent Consistent System the system must have one unique solution for which the lines of the equation must intersect at a particular.

Given to us

y = 4x - 4

y = -4x + 4

As we have the two equations, substitute the value of y of both the equations,

4x - 4 = -4x + 4

8x = 8

x = 1

We have the value of x as 1, substitute the value of x in the equation of y,

y = 4(1) - 4

y = 0

Since the two equations have a unique solution, therefore, the system is Independent Consistent System.

Learn more about System of equation:

brainly.com/question/12895249

8 0

3 years ago

A publisher reports that 65% of their readers own a laptop. A marketing executive wants to test the claim that the percentage is

muminat

Answer:

$z=\frac{0.60 -0.65}{\sqrt{\frac{0.65(1-0.65)}{340}}}=-1.933$

The p value for this case can be calculated with this probability:

$p_v =2*P(z$

For this case is we use a significance level of 5% we have enough evidence to FAIL to reject the null hypothesis and we can't conclude that the true proportion is different from 0.65 or 65%. We need to be careful since if we use a value higher than 65 for the significance the result would change

Step-by-step explanation:

Information given

n=340 represent the random sample taken

$\hat p=0.60$ estimated proportion of readers owned a laptop

$p_o=0.65$ is the value that we want to test

z would represent the statistic

$p_v{/tex} represent the p valueHypothesis to testWe want to check if the true proportion of readers owned a laptop if different from 0.65
Null hypothesis:[tex]p=0.65$

Alternative hypothesis: $p \neq 0.65$

The statistic is given by:

$z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}$ (1)

Replacing we got:

$z=\frac{0.60 -0.65}{\sqrt{\frac{0.65(1-0.65)}{340}}}=-1.933$

The p value for this case can be calculated with this probability:

$p_v =2*P(z$

For this case is we use a significance level of 5% we have enough evidence to FAIL to reject the null hypothesis and we can't conclude that the true proportion is different from 0.65 or 65%. We need to be careful since if we use a value higher than 65 for the significance the result would change

5 0

4 years ago

Plsssssssss helpppppppppp

JulsSmile [24]

Answer:

B

Step-by-step explanation:

Angle S doesn't correspond to angle V. Angle S measures 98 degrees, but angle V measures 37.6 degrees.

7 0

3 years ago

MUST HELP!!!! (+10 POINTS +BRANILEST +5 STARS +THANKS ON PROFILE)

g100num [7]

Answer:

Imagery

Imagery includes language that appeals to all of the human senses, including sight, hearing, taste, touch, and smell.

I think its imagery because the narrator describes that the character stood firmly, was held, rootless in mid air, etc..

Step-by-step explanation:

:))

6 0

3 years ago

If cos theta = 3/5 and theta is in quadrant 4, tan 2 theta =

Neko [114]

Answer:

16/9.

Step-by-step explanation:

I am assuming you mean tan^2 theta.

The adjacent side of the triangle drawn in Q 4 = 3 (as cos theta = 3/5.

The opposite side of the triangle drawn in Q 4 = sqrt(5^2-3^2) = 4.

The tangent is negative in Q 4

So tan theta = -4/3.

tan^2 theta = 16/9.

7 0

3 years ago

Given m ∥ n m∥n, find the value of x.