Answer:
330
Step-by-step explanation:
This is the "choose" formula.
The equation for the choose formula is this:
nCk = n! / k!(n-k)!
! = factorial.
Plug in our numbers:
11C4 = 11! / 4!(11-4)!
39916800 / 24(5040)
39916800 / 120960
330
Answer:
You didn't include the question.
Step-by-step explanation:
Answer: The answer for x is 28.
Step-by-step explanation: Divide 70 by 10 and you get 7, which is the slope. Then multiply 4x7 and that gets you 28!
Answer:
![c(t) = 120 [0.7]^{t}](https://tex.z-dn.net/?f=c%28t%29%20%3D%20120%20%5B0.7%5D%5E%7Bt%7D%20)
Step-by-step explanation:
At the moment a certain medicine is injected, its concentration in the bloodstream is 120 milligrams per liter.
From that moment forward, the medicine's concentration drops by 30% each hour.
Therefore, the medicine concentration c(t) in mg/liters after t hours will be modeled as
![c(t) = c(0) [1 - \frac{30}{100}]^{t}](https://tex.z-dn.net/?f=c%28t%29%20%3D%20c%280%29%20%5B1%20-%20%5Cfrac%7B30%7D%7B100%7D%5D%5E%7Bt%7D%20)
⇒ ![c(t) = c(0) [1 - 0.3]^{t}](https://tex.z-dn.net/?f=c%28t%29%20%3D%20c%280%29%20%5B1%20-%200.3%5D%5E%7Bt%7D%20)
⇒ . (Answer)
Answer in fraction form: 5/8
Answer in decimal form: 0.625
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Explanation:
There are 5 sides that aren't labeled "1" out of 6 total. So the probability of not rolling a "1" on the six-sided die is 5/6
Similarly, there are 3 sides that aren't labeled "1" out of 4 sides on the four-sided die. The probability of not rolling a "1" for this die is 3/4
Multiply the fractions
(5/6)*(3/4) = (5*3)/(6*4) = 15/24 = 5/8
The answer in fraction form is 5/8 which converts to 0.625 (use long division or a calculator)
Note: the multiplication of probabilities works because the two events (of rolling each die) are independent
