Mai is filling her fish tank. Water flows into the tank at a constant rate. Complete the table and answer the question below.
1 answer:
Answer:
Step-by-step explanation:
Given
x ----- y
0.5. --- 0.8
1. --- 1.6
3.--- 4.8
25. --- 40
Required
Determine the constant of proportionality
This can be calculated using the following formula:
; Where r is the constant of proportionality;
Solve for r
When x = 0.5; y = 0.8
When x = 1; y =1.6
When x = 3; y = 4.8
When x = 25; y = 40
Notice that the value of r is constant throughout;
Hence:
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Answer:
Step-by-step explanation:
So we know that Aaliyah earns $1.25 commission for every computer she sells. No matter what, she will make $70 per day, so that would be our constant. The $1.25 would be our independent variable since it can change depending on the amount of computers x she sells. Therefore, our equation is:
P represents the total pay, 1.25x represents the total commission for x computers, and the 70 is the base pay.
And we're done!
Since we want just the top 20% applicants and the data is normally distributed, we can use a z-score table to check the z-score that gives this percentage.
The z-score table usually shows the percentage for the values below a certain z-score, but since the whole distribution accounts to 100%, we can do the following.
We want a z* such that:
But, to use a value that is in a z-score table, we do the following:
So, we want a z-score that give a percentage of 80% for the value below it.
Using the z-score table or a z-score calculator, we can see that:
Where z is the z-score we have, μ is the mean and σ is the standard deviation, so:
so, the cutoff score is approximately 72.