Answer:
336 sq. in or 2.333333333 sq. ft.
Step-by-step explanation:
1 foot = 12 in
7 x 12 = 84 in
A = bh
A = 84 in x 4 in
A = 336 sq. in
1 sq. ft. = 144 sq. in
336 / 144 = 2.33333333 sq. ft.
Answer:
Tyler needs to make 0.025 of a batch of green paint
Step-by-step explanation:
See the attached file for explanation
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:
![\begin{gathered} P(zNow that we have the z-score cutoff, we can convert it to the score cutoff by using:[tex]z=\frac{x-\mu}{\sigma}\Longrightarrow x=z\sigma+\mu](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20P%28zNow%20that%20we%20have%20the%20z-score%20cutoff%2C%20we%20can%20convert%20it%20to%20the%20score%20cutoff%20by%20using%3A%5Btex%5Dz%3D%5Cfrac%7Bx-%5Cmu%7D%7B%5Csigma%7D%5CLongrightarrow%20x%3Dz%5Csigma%2B%5Cmu)
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.
<span>f(x) = –2/9x + 1/3
</span>y -intercept when x = 0
so
f(x) = –2/9(0) + 1/3 then f(x) = 1/3
answer
<span>y-intercept </span>(0, 1/3)