You calculate it like this: first you make a fraction: 11 divided by 25 .Then you multiply it by a 100 % (100 % is 1 so you can always multiply by it):
simplifying:
so the answer is 44%
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simplifying:
so the answer is 44%
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Solve the system of equations by substitution. y=3x-10, 2x+3y=14Its 5-3 MathXL btw
1 answer:
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Answer:
a) 0.0885 = 8.85% probability that the mean annual return on common stocks over the next 40 years will exceed 13%.
b) 0.4129 = 41.29% probability that the mean return will be less than 8%
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 8.7% and standard deviation 20.2%.
This means that
40 years:
This means that
(a) What is the probability (assuming that the past pattern of variation continues) that the mean annual return on common stocks over the next 40 years will exceed 13%?
This is 1 subtracted by the pvalue of Z when X = 13. So
By the Central Limit Theorem
has a pvalue of 0.9115
1 - 0.9115 = 0.0885
0.0885 = 8.85% probability that the mean annual return on common stocks over the next 40 years will exceed 13%.
(b) What is the probability that the mean return will be less than 8%?
This is the pvalue of Z when X = 8. So
has a pvalue of 0.4129
0.4129 = 41.29% probability that the mean return will be less than 8%
Answer:
M= -2
B=1
Step-by-step explanation:
<u><em>Y-intercept</em></u><em> is the point where the line crosses through the y line, so you can clearly see that that point is (0,1) we only write the y value because for a y intercept the x value will always be zero</em>
<em><u>Slope</u></em> <em>is the rise over run, meaning how much the y value changes over how much the x value changes, so for the two points we use our formula:</em>
<em>So now input how much it changes by adding the numbers from each coordinate:</em>
<u>Simplify:</u>
<u /><u />
<em>But we write it as:</em>
-4/2
<em>This is because this looks more like division</em>
<u>Divide:</u>
-4/2=-2
So, your slope is <em><u>-2</u></em> and the y- intercept is <em><u>1</u></em>
I hope this helps u pls give a brainliest and a thx ;)