Mark and Don are planning to sell each of their marble collections at a garage sale. If Don has 5 more than 3 times the number o
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Answer:
The return on assets in this business for Macrosoft is
ROA = 10.50%
Step-by-step explanation:
Return on Equity:
ROE represents how much a firm is generating profits by using the shareholder's money.
ROE is calculated as
Return on Assets:
ROA represents how much a firm is generating profits for every dollar of its assets.
ROA is calculated as
What is the return on assets in this business if Macrosoft has no debt?
Debt plays an important role in the calculations of return on assets.
We know that
Assets = Liabilities + Equity
Since the Macrosoft has no debt, its return on assets will be same as return on equity.
Assets = Equity
ROA = ROE
ROA = 10.50%
Answer:
0.64%.
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean and standard deviation
, the z-score of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean and standard deviation
, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean
and standard deviation
.
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
Mean of 75 grams and a standard deviation of 22 grams.
This means that
Sample of 144:
This means that
More than 80 or less than 70:
Both are the same distance from the mean, so we find one probability and multiply by 2.
The probability that it is less than 70 is the pvalue of Z when X = 70. So
By the Central Limit Theorem
has a pvalue of 0.0032
2*0.0032 = 0.0064.
0.0064*100% = 0.64%
The probability is 0.64%.