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Ad libitum [116K]
2 years ago
12

Find the equation of a line that has slope, m, of

Mathematics
1 answer:
masya89 [10]2 years ago
8 0

Answer:

The equation of line is y = 4x + c

Step-by-step explanation:

Given the following data;

Slope, m = 1/2

Points = (-6, 12)

To find the equation of line;

Equation of straight line is y = mx + c

Where;

m is the slope.

x and y are the points

c is the intercept.

Substituting the values in order to find the intercept, we have;

12 = ½(-6) + c

12 = -3 + c

c = 12 + 3

c = 15

Therefore, the equation of line is y = 4x + c

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Find the coordinates of the midpoint of the segment with the given pair of endpoints. J(6, 6); K(2, –4)
Levart [38]

Answer:

(4,1)

Step-by-step explanation:

let J(6,6) be x1, y1

let K(2,-4) be x2, y2

midpoint = (x1+x2)/2 , (y1+y2)/2

=(6+2)/2 ,(6-4)/2

= 8/2 ,2/2

=4, 1

3 0
3 years ago
Heyy! i’ll give brainliest please help
nydimaria [60]
The answer is absolute dictator
8 0
3 years ago
The graph of a line passes through the points (0, -2) and (6.0). What is
9966 [12]

Answer:

y=\frac{1}{3}x-2

Step-by-step explanation:

The equation of a line is given in the form  y=mx+b

Where

m is the slope with formula  m=\frac{y_2-y_1}{x_2-x_1}

and

b is the y-intercept [y axis cutting point of line]

Given the two points (0, -2) and (6,0),

x_1 = 0

y_1 = -2

x_2 = 6

y_2 = 0

Now, we find m using formula:

m=\frac{0+2}{6-0}=\frac{1}{3}

Now we have

y=\frac{1}{3}x+b

Finding b, we plug in any (x,y) point. Lets put (6,0) and find b:

y=\frac{1}{3}x+b\\0=\frac{1}{3}(6)+b\\0=2+b\\b=-2

Thus,

equation of line = y=\frac{1}{3}x-2

5 0
3 years ago
An NBA fan named Mark claims that there are more fouls called on his team 1 point
inn [45]

Answer:

t=\frac{12.2-11.5}{\frac{1.6}{\sqrt{34}}}=2.551    

df = n-1=34-1=33

p_v =P(t_{(33)}>2.551)=0.008  

Since the p value is less than the significance level of 0.05 we have enough evidence to reject the null hypothesis in favor of the claim

And the best conclusion for this case would be:

b)The p-value is 0.008, indicating sufficient evidence for his claim.

Step-by-step explanation:

Information provided

\bar X=12.2 represent the sample mean fould against

s=1.6 represent the sample standard deviation

n=34 sample size  

represent the value that we want to test

\alpha=0.05 represent the significance level for the hypothesis test.  

t would represent the statistic (variable of interest)  

p_v represent the p value for the test (variable of interest)  

System of hypothesis

We need to conduct a hypothesis in order to check if the true mean is higher than 11.5 fouls per game:  

Null hypothesis:\mu \leq 11.5  

Alternative hypothesis:\mu > 11.5  

The statistic is given by:

t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}  (1)  

The statistic is given by:

t=\frac{12.2-11.5}{\frac{1.6}{\sqrt{34}}}=2.551    

P value

The degreed of freedom are given by:

df = n-1=34-1=33

Since is a one side test the p value would be:  

p_v =P(t_{(33)}>2.551)=0.008  

Since the p value is less than the significance level of 0.05 we have enough evidence to reject the null hypothesis in favor of the claim

And the best conclusion for this case would be:

b)The p-value is 0.008, indicating sufficient evidence for his claim.

7 0
3 years ago
23) 2,747<br> What’s the quotient
Basile [38]

Answer:

119.434783

Step-by-step explanation:

Long division.

8 0
3 years ago
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