Answer:
*The function has a minimum in x=-1
*The function has a maximum in x=1
*The second derivative is not enough to determine if the function has either a maximum or a minimum in x=0.
Step-by-step explanation:
1. Evaluate the second derivative in the first critical point x=-1:




As the value is smaller than zero, the function has a minimum in x=-1
2. Evaluate the second derivative in the second critical point x=1




As the value is larger than zero, the function has a maximum in x=1
3. Evaluate the second derivative in the third critical point x=0




As the value is equal to zero, the second derivative is not enough to determine if the function has either a maximum or a minimum in x=0.
Okay first you need to do ×+1___×-3 then
Answer:
And solving we got:

So then for the problem given the probability that the entire bath will be accepted (none is defective among the 4) is 0.583
Step-by-step explanation:
For this case we can model the variable of interest with the hypergeometric distribution. And with the info given we can do this:
Where N is the population size, M is the number of success states in the population, n is the number of draws, k is the number of observed successes
And for this case we want to find the probability that none of the scales selected would be defective so we want to find this:

And using the probability mass function we got:
And solving we got:

So then for the problem given the probability that the entire bath will be accepted (none is defective among the 4) is 0.583
Answer:
162 months
Step-by-step explanation:
if I'm correct it should be 162