6:5. or 6/5 which ever way you choose
Answer:
is an asymptote
Step-by-step explanation:
Apply a table, and plug in values of x into the equation. For example f(2)=
. That's one of the points on the graph that we just found (2,6)
Answer:
Step-by-step explanation:
n=12.4+23.79-5.27
n=30.92
Answer:
There is a probability of 76% of not selling the package if there are actually three dead batteries in the package.
Step-by-step explanation:
With a 10-units package of batteries with 3 dead batteries, the sampling can be modeled as a binomial random variable with:
- n=4 (the amount of batteries picked for the sample).
- p=3/10=0.3 (the proportion of dead batteries).
- k≥1 (the amount of dead batteries in the sample needed to not sell the package).
The probability of having k dead batteries in the sample is:
![P(x=k) = \dbinom{n}{k} p^{k}q^{n-k}](https://tex.z-dn.net/?f=P%28x%3Dk%29%20%3D%20%5Cdbinom%7Bn%7D%7Bk%7D%20p%5E%7Bk%7Dq%5E%7Bn-k%7D)
Then, the probability of having one or more dead batteries in the sample (k≥1) is:
![P(x\geq1)=1-P(x=0)\\\\\\P(x=0) = \dbinom{4}{0} p^{0}q^{4}=1*1*0.7^4=0.2401\\\\\\P(x\geq1)=1-0.2401=0.7599\approx0.76](https://tex.z-dn.net/?f=P%28x%5Cgeq1%29%3D1-P%28x%3D0%29%5C%5C%5C%5C%5C%5CP%28x%3D0%29%20%3D%20%5Cdbinom%7B4%7D%7B0%7D%20p%5E%7B0%7Dq%5E%7B4%7D%3D1%2A1%2A0.7%5E4%3D0.2401%5C%5C%5C%5C%5C%5CP%28x%5Cgeq1%29%3D1-0.2401%3D0.7599%5Capprox0.76)
Step-by-step explanation:
Given
![p \: = \frac{1}{3} \\ 12p \: = 12 \times \frac{1}{3} \\ = 4](https://tex.z-dn.net/?f=%20%20p%20%5C%3A%20%20%3D%20%20%5Cfrac%7B1%7D%7B3%7D%20%20%5C%5C%2012p%20%5C%3A%20%20%3D%2012%20%5Ctimes%20%20%5Cfrac%7B1%7D%7B3%7D%20%20%5C%5C%20%20%3D%204)
Hope it will help :)