The formulas:
![\log_a (xy)=\log_a x + \log_a y \\ \log_a (\frac{x}{y})=\log_a x - \log_a y \\ \log_a (x^n)n \log_a x](https://tex.z-dn.net/?f=%5Clog_a%20%28xy%29%3D%5Clog_a%20x%20%2B%20%5Clog_a%20y%20%5C%5C%0A%5Clog_a%20%28%5Cfrac%7Bx%7D%7By%7D%29%3D%5Clog_a%20x%20-%20%5Clog_a%20y%20%5C%5C%0A%5Clog_a%20%28x%5En%29n%20%5Clog_a%20x)
Expand the expression:
![\log_b (\frac{m^2n}{p})=\log_b m^2 + \log_b n - \log_b p= 2 \log_b m+\log_b n - \log_b p](https://tex.z-dn.net/?f=%5Clog_b%20%28%5Cfrac%7Bm%5E2n%7D%7Bp%7D%29%3D%5Clog_b%20m%5E2%20%2B%20%5Clog_b%20n%20-%20%5Clog_b%20p%3D%202%20%5Clog_b%20m%2B%5Clog_b%20n%20-%20%5Clog_b%20p)
Plug the values into the expression:
9 and 1/12 inches of pipe remain because
30 and 3/4 = 30 and 9/12
4 and 1/3 = 4 and 4/12
4 and 4/12 x 5 = 20 and 20/12
which can be simplified to 21 and 8/12
30 and 9/12 - 21 and 8/12 = 9 and 1/12.
Step-by-step explanation:
Let Jim earned $ x
Therefore, Debbie earned = $(x + 1600)
According to the given information:
![x + (x + 1600) = 7200 \\ \therefore \: 2x = 7200 - 1600 \\ \therefore \: 2x =5600 \\ \\ \therefore \: x = \frac{5600}{2} \\ \\ \therefore \: x =2800 \\](https://tex.z-dn.net/?f=x%20%2B%20%28x%20%2B%201600%29%20%3D%207200%20%5C%5C%20%20%5Ctherefore%20%5C%3A%202x%20%20%3D%207200%20-%201600%20%5C%5C%20%5Ctherefore%20%5C%3A%202x%20%20%3D5600%20%5C%5C%20%20%5C%5C%20%5Ctherefore%20%5C%3A%20x%20%20%3D%20%5Cfrac%7B5600%7D%7B2%7D%20%20%5C%5C%20%20%5C%5C%20%5Ctherefore%20%5C%3A%20x%20%20%3D2800%20%5C%5C%20)
Thus, Jim`s earning = $2800
Debbie`s earning = 2800 + 1600 = $4400
Answer:
X= 81
Step-by-step explanation:
hope this helps.
For the answer to the question above, you will find probabilities for continuous r.v.'s like P(a < X < b) you just find the area under the density curve (what you have called the distribution). In this case, that's finding the area of a rectangle which means that if you can calculate sq ft for carpeting, you can do this problem.
For example,
<span>e) (0.76 - 0.23)*1 = 0.53
</span>
For this problem t<span>he answer is the area above the interval:
eg. the probability of a) is 0.4 x height or 0.4 x 1 = 0.4. </span>
I hope I helped you with my answer