Answer:
The graph in the attached figure
Step-by-step explanation:
we know that
A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form 
or 
In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin
Remember that
The unit rate of change is the same as the slope
so
In this problem
The linear equation is equal to
To graph the line we need two points
we have (0,0) because the line passes through the origin
Determine other point
assume a value of x and calculate the value of y
For x=8
The other point is (8,3)
Plot the points and join them to draw the line
The graph in the attached figure
Answer:
The probability that carbon emissions from the factory are within the permissible level and the test predicts the opposite to be true is 19.338% (Rounding to the next thousandth place)
Step-by-step explanation:
1. Let's review the information provided to us to answer the question correctly:
Probability that carbon emissions from the company’s factory exceed the permissible level = 35% = 0.35
Accuracy of the test of emissions level = 85% = 0.85
2. The probability that carbon emissions from the factory are within the permissible level and the test predicts the opposite to be true is?
These two events, carbon emissions from the company’s factory and the accuracy of the test are independent events, therefore:
Probability that carbon emissions from the factory are within the permissible level = 1 - 0.35 = 0.65
Probability that the test predicts the opposite to be true = 0..35 * 0.85 = 0.2975 (The opposite is that the carbon emissions from the company exceed the permissible level)
Probability that carbon emissions from the factory are within the permissible level and the test predicts the opposite to be true is:
0.65 * 0.2975 = 0.193375
The probability that carbon emissions from the factory are within the permissible level and the test predicts the opposite to be true is 19.338% (Rounding to the next thousandth place
MARK BRAINLIEST PLS
Answer:
a. Take a grid that shows represents the amount of money Frank has,
Say F,
( shown below ),
b. Since, Marissa has twice as much money as Frank,
So, the amount Marissa has = 2F
If M represents the amount Marissa has,
M = 2F
c. Now, Christina has $20 more than Marissa,
Add 20 to the grid M
d. The below diagram provides enough information to determine the value of the variable m
e. The amount Christina has = M + 20 = 2F + 20
According to the question,
2F + 20 = 100
2F = 80
F = 40
Hence, the amount frank has = $ 40,
Amount Marissa has = 2(40) = $ 80,
Answer: Annette will take 6 hours to do the entire job alone.
Step-by-step explanation:
Given: Time taken by Kelly to do 
of job = 2 hours
i.e. Time for complete job done alone by Kelly =
Rest of work = 
of the job
of the complete job done by both Kelly and Annette in 3 hours
Time would be taken by then to do entire job together = 
Let t be the time taken by Annette to do job alone.
Then, as per situation
hence, Annette will take 6 hours to do the entire job alone.
Answer: 
Step-by-step explanation:
<u>1.SEPARATE THE VARIABLES AS X & Y IN NUMERATOR</u>
NOW,we can changes in the numerator variable ADDING THE POWERS THEN THE VARIABLES ![X^{2+4} \times Y^{3+1}{/tex] [tex] X^{6} \times Y^{4}{/tex]2. KEEP THE DENOMINATOR AS ITS : [tex]X \times Y^{2}](https://tex.z-dn.net/?f=%20%3Cstrong%3EX%5E%7B2%2B4%7D%20%5Ctimes%20Y%5E%7B3%2B1%7D%3C%2Fstrong%3E%7B%2Ftex%5D%3C%2Fp%3E%3Cp%3E%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%5Btex%5D%20%3Cstrong%3EX%5E%7B6%7D%20%5Ctimes%20Y%5E%7B4%7D%3C%2Fstrong%3E%7B%2Ftex%5D%3C%2Fp%3E%3Cp%3E%3Cu%3E%3Cstrong%3E2.%20KEEP%20THE%20DENOMINATOR%20AS%20ITS%20%3A%3C%2Fstrong%3E%3C%2Fu%3E%3C%2Fp%3E%3Cp%3E%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%3Cstrong%3E%20%5Btex%5DX%20%5Ctimes%20Y%5E%7B2%7D)
