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4 years ago

What is the slope of a line that is parallel to the line shown

Mathematics

1 answer:

Angelina_Jolie [31]4 years ago

3 0

Answer:

$\frac{1}{4}$

Step-by-step explanation:

Parallel lines have the same slope

The slope of the line shown is $\frac{1}{4}$

Therefore, the slope of the parallel line will also be $\frac{1}{4}$

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Write an equation of a line in slope intercept form that is parallel to y = 3x+6 and passes through the point (-10, 2.5)

TiliK225 [7]

1) Line should be parallel to y = 3x+6, so slope of this line should be =3.

y=mx +b

y=3x +b

Now we have to find b (y-intercept), using the point (-10, 2.5).

2.5 = 3*(-10)+b

b=2.5+30=32.5

y=3x + 32.5

2) The line should be perpendicular to y = -4x -2, so its slope is going to be negative reciprocal m= 1/4.

Now we have to find b (y-intercept), using the point (-16, -11).

y=(1/4)x +b

-11=(1/4)*(-16) + b

-11 = -4 +b

b = -7

y=(1/4)x - 7

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3 years ago

Question 9 of 25<br> 2 Points<br> What is g(x)?

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4 years ago

Is F=((x,y) | x+y=10 a function or a relation

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3 years ago

Clarice adopted a puppy at the pound. He weighed 3.2 lb when she adopted him. Clarice graphed on a number line the weight of her

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3 years ago

70% of voters in a certain state support an increase in the minimum wage. A researcher believe that the percentage of fast food

Artist 52 [7]

<h2><u>Answer with explanation:</u></h2>

Let p be the proportion of voters in a certain state support an increase in the minimum wage.

As per given , we have

$H_0: p =0.70\\\\ H_a: p >0.70$

Since alternative hypothesis is right-tailed so the test is a right-tailed test.

Test statistic : $z=\dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}}$

, where n= sample size.

p= population proportion.

$\hat{p}$ = sample proportion.

. In a random sample of 300 fast food workers for 240 supporters increase an minimum-wage.

i.e. n= 300 and $\hat{p}=\dfrac{240}{300}=0.8$

Then,

$z=\dfrac{0.8-0.7}{\sqrt{\dfrac{0.7(1-0.7)}{300}}}\approx3.78$

For significant level α = .05 , the critical z-value is

$z_{0.05}=1.645$

Decision : Since calculated z-value (3.78) is greater than the critical value (1.645) , so we reject the null hypothesis.

Conclusion : We have sufficient evidence o support researcher's claim that that the percentage of fast food workers for support and increase is higher than 70%..

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3 years ago