For this case we have that by definition, the equation of the line in the slope-intersection form is given by:

Where:
m: It is the slope of the line
b: It is the cut-off point with the y axis
We have the following points through which the line passes:

We find the slope of the line:

Thus, the equation of the line is of the form:

We substitute one of the points and find b:

Finally, the equation is:

Answer:

3:5=x:50
Therefore 5 ×x = 50
x = 10
Therefore 3 × 10 = 30
therefore 30 blue pens
proof = 30 blue + 50 red= 3+ 5
therefore 80 = 8x
Answer:
The large sample n = 190.44≅190
The large sample would be required in order to estimate the fraction of people who black out at 6 or more Gs at the 85% confidence level with an error of at most 0.04 is n = 190.44
<u>Step-by-step explanation</u>:
Given population proportion was estimated to be 0.3
p = 0.3
Given maximum of error E = 0.04
we know that maximum error

The 85% confidence level 


now calculation , we get
√n=13.80
now squaring on both sides n = 190.44
large sample n = 190.44≅190
<u>Conclusion</u>:-
Hence The large sample would be required in order to estimate the fraction of people who black out at 6 or more Gs at the 85% confidence level with an error of at most 0.04 is n = 190.44
Answer:
It would take 6 hours for you to travel 72 miles.
Step-by-step explanation:
This question can be solved by a simple rule of three.
We have that:
Each hour, you ride 12 miles.
How many hours will take for you to travel 72 miles?
So:
1 hour - 12 miles
x hours - 72 miles
12x = 72
x = 72/12
x = 6
It would take 6 hours for you to travel 72 miles.
<span><u>1/3x - 1/2y = 1</u>
At the 'x' intercept, y=0 , and the equation is 1/3 x = 1
Multiply each side by 3 : <em>x = 3 </em> <== the x-intercept
At the 'y' intercept, x=0, and the equation is -1/2 y = 1
Multiply each side by 2 : - y = 2
Multiply each side by -1 : <em> y = -2 </em> <== the y-intercept
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