Answer:
For this case we want to conduct a test in order to see if the proportion of Clemson students who eat breakfast is different from 0.44 (alternative hypothesis). And the complement would represent the null hypothesis, and the system of hypothesis for this case are:
Null Hypothesis: 
Alternative hypothesis: 
Step-by-step explanation:
Previous concepts
A hypothesis is defined as "a speculation or theory based on insufficient evidence that lends itself to further testing and experimentation. With further testing, a hypothesis can usually be proven true or false".
The null hypothesis is defined as "a hypothesis that says there is no statistical significance between the two variables in the hypothesis. It is the hypothesis that the researcher is trying to disprove".
The alternative hypothesis is "just the inverse, or opposite, of the null hypothesis. It is the hypothesis that researcher is trying to prove".
Solution to the problem
For this case we want to conduct a test in order to see if the proportion of Clemson students who eat breakfast is different from 0.44 (alternative hypothesis). And the complement would represent the null hypothesis, and the system of hypothesis for this case are:
Null Hypothesis: 
Alternative hypothesis: 
Answer:
3.045%.
Step-by-step explanation:
We are asked to find the corresponding effective interest rate for 3% per year compounded continuously.
We will use effective interest formula to solve our given problem.
, where,
r = Effective interest rate,
e = Mathematical constant,
r = Interest rate in decimal form.
Let us convert given interest rate in decimal form.

Substitute values:




Convert into percentage:

Therefore, the corresponding interest rate would be 3.045%.
Answer:
Ans= 6720 ways
Step-by-step explanation:
From Combination rule from Permutation and Combination, nCr
We use 8^C3 or 8C3,
8x7x6x5x4x3x2x1
-------------------------- =6,720
3x2x1
or
8x7x6x5x4x3! /3!, here the 3! cancels each other out, and we're left with 8x7x6x5x4, which equals 6720.