Answer:
About 135.
Step-by-step explanation:
As the sample is random the number of monkeys likely to be in the zoo
= (22/65) * 400
= 135.38
Answer:
100
Step-by-step explanation:
.15x + 23 = .10x + 28
Answer:
Step-by-step explanation:
Given
Two curves are given

and 
the two curves intersect at


to get the we need to integrate the curves over x axis


![A=2\left [ 3\left ( \frac{\sqrt{2}}{3}\right )-\frac{9}{3}\left ( \frac{\sqrt{2}}{3}\right )^3\right ]](https://tex.z-dn.net/?f=A%3D2%5Cleft%20%5B%203%5Cleft%20%28%20%5Cfrac%7B%5Csqrt%7B2%7D%7D%7B3%7D%5Cright%20%29-%5Cfrac%7B9%7D%7B3%7D%5Cleft%20%28%20%5Cfrac%7B%5Csqrt%7B2%7D%7D%7B3%7D%5Cright%20%29%5E3%5Cright%20%5D)
![A=2\sqrt{2}\left [ 1-\frac{2}{9}\right ]](https://tex.z-dn.net/?f=A%3D2%5Csqrt%7B2%7D%5Cleft%20%5B%201-%5Cfrac%7B2%7D%7B9%7D%5Cright%20%5D)

Answer:
Now we can find the p value using the alternative hypothesis with this probability:
Since the p value is large enough, we have evidence to conclude that the true proportion for this case is NOT significanctly higher than 0.75 since we FAIL to reject the null hypothesis at any significance level lower than 30%
Step-by-step explanation:
Information provided
n=100 represent the random sample selected
estimated proportion of students that are satisfied
is the value that we want to test
z would represent the statistic
represent the p value
System of hypothesis
We want to verify if more than 75 percent of his customers are very satisfied with the service they receive, then the system of hypothesis is.:
Null hypothesis:
Alternative hypothesis:
The statistic is given by:
(1)
Replacing the info given we got:
Now we can find the p value using the alternative hypothesis with this probability:
Since the p value is large enough we have evidence to conclude that the true proportion for this case is NOT significanctly higher than 0.75 since we FAIL to reject the null hypothesis at any significance level lower than 30%
Answer:
99.8% probability of at least one failure.
Step-by-step explanation:
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

In which
is the number of different combinations of x objects from a set of n elements, given by the following formula.

And p is the probability of X happening.
Probability of success is 30%.
This means that 
Five trials:
This means that 
Find the probability of at least one failure in five trials of a binomial experiment in which the probability of success is 30%.
Less than five sucesses, which is:

In which



0.998*100% = 99.8%
99.8% probability of at least one failure.