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.
Answer:
Shirts = $7
Shorts $17
Step-by-step explanation:
Let:
T - shirts
S - shorts
We can make two equations out of this problem:
4T + 3S = $79
7T + 8S = $185
Through substitution we can solve for one of the unknowns. We make one equation to solve for an unknown
We use the formula of S and insert it into the other equation:
Thus T-shirts are $7 each.
Now that we know T, we can use it to solve for the other unknown. You can use it on any of the formulas.
We know then that Shorts are $17 each.
Varying inversely means y=a number divided by x
find the number: 7=k/5 =>k=35
so the equation is y=35/x
<em>-9</em><span><em>º </em>
You can figure this out by doing every thing backwards:
</span> –6º plus 3 degrees the minus <span>6 degrees</span>
Answer:
3+9x-30
Step-by-step explanation:
Multiply the three into each number
3+9x-30