Answer:
52
Step-by-step explanation:
You have 8 eight hours and 416miles, and you need to distribute those 416 miles to eight hours. so 416/8=52
Well you already know your side lengths, so you use this formula S=1/2(A+B+C). For A put in one of your side lengths, for B put one of your side lengths, and for C put one of your side lengths. After you do that solve. But your not done. Once you find out what S equals by doing the formula I just showed you, you have to do another formula which is A= S(S-A)(S-B)(S-C). Once again plug in your side lengths for A,B, and C but then plug in your S value. (Remember you already found your S value by doing the first formula I showed you). Then do the math and then you will find your answer.
Answer:
M = 3000n(20 - n) dollars.
Step-by-step explanation:
Given that, each machine sets up in one day.
Therefore, n number of machines will take n days to set up.
Now, there are 20 days' time to deliver all the t-shirts.
And the machines are turned on after all the n machines are set up.
So, all the n machines will work for (20 - n) days and producing each machine 200 shirts in one day, then one machine will produce 200(20 - n) number of t-shirts and n machines will produce 200n(20 - n) number of t-shirts in the remaining (20 - n) days.
Now, the selling price for each t-shirt is $15.
Therefore, the total amount of money M she will receive will be, M = 15 × 200n(20 - n) = 3000n(20 - n) dollars. (Answer)
Slot method or permutations
top 3
6 for first slot
5 for 2nd slot
4 for 3rd
6*5*4=120
120 possiblites
answer is C
Answer:
(a) 3.75
(b) 2.00083
(c) 0.4898
Step-by-step explanation:
It is provided that X has a continuous uniform distribution over the interval [1.3, 6.2].
(a)
Compute the mean of X as follows:

(b)
Compute the variance of X as follows:

(c)
Compute the value of P(X < 3.7) as follows:
![P(X < 3.7)=\int\limits^{3.7}_{1.3}{\frac{1}{6.2-1.3}}\, dx\\\\=\frac{1}{4.9}\times [x]^{3.7}_{1.3}\\\\=\frac{3.7-1.3}{4.9}\\\\\approx 0.4898](https://tex.z-dn.net/?f=P%28X%20%3C%203.7%29%3D%5Cint%5Climits%5E%7B3.7%7D_%7B1.3%7D%7B%5Cfrac%7B1%7D%7B6.2-1.3%7D%7D%5C%2C%20dx%5C%5C%5C%5C%3D%5Cfrac%7B1%7D%7B4.9%7D%5Ctimes%20%5Bx%5D%5E%7B3.7%7D_%7B1.3%7D%5C%5C%5C%5C%3D%5Cfrac%7B3.7-1.3%7D%7B4.9%7D%5C%5C%5C%5C%5Capprox%200.4898)
Thus, the value of P(X < 3.7) is 0.4898.