Answer: 3617.28 cubic millimeters.
Step-by-step explanation: I used the formula of a sphere since a gumball is a shape of a sphere and plugged the radius into the formula.
I got that the volume of a single gumball is 288π cubic millimeters.
Since there are 4 gumballs, i multiplied the volume by 4.
The total volume of the four gumballs add up to be 1152π .
Lastly, I multiplied 1152 by pi
and got the answer to be 3617.28 cubic millimeters
Answer:
Original claim is 
Opposite claim is 
Null and alternative hypotheses:


Significance level: 0.01
Test statistic:
We can use TI-84 calculator to find the test statistic and P-value. The steps are as follows:
Press STAT and the scroll right to TESTS
Scroll down to 2-SampTTest... and scroll to stats.
Enter below information.







Pooled: Yes
Calculate.
The output is in the attachment.
Therefore, the test statistic is:

P-value: 0.4412
Reject or fail to reject: Fail to reject
Final Conclusion: Since the p-value is greater than the significance level, we, therefore, fail to reject the null hypothesis and conclude that the there is sufficient evidence to support the claim that the samples are from populations with the same mean.
Answer:
3.4594
Step-by-step explanation:
To change the base of a logarithm
•
x = 
where c represents the new base
Changing the base from 2 to 10
11 =
≈ 3.4594
Answer:
5 min person wit 10 min person
5 min person wit 20 min person and 5 min person back
5 min person wit 25 min person and 5 min person back
5 min person need to slow down ea. time
This can solved using the cosine law which is:
c² = a² + b² - 2ab cos θ
Using the values given from the problem
6² = b² + b² - 2bb cos 112.62
And solving for b
36 = 2b² - 2b² cos 112.62
b = 3.6
The answer is the 3rd option.