Holly had $5,000 in her bank account. She withdrew $800 to buy a new bike. What is the percent decrease in the balance of her ac
2 answers:
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The question is incomplete. But this explanation will help you very much.
1) Regarding the function
, its graph always passes through the points (1,0) and (a,1).
That is due to the properties of logarithm function:
a)
b)
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That in turn is due to the properties of the exponential functions.
a^0 = 1 and a^1 = a
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2) Regarding the y-axis.
The function will never touch the y-axis, because the logaritm of zero is not defined. So the graph lies to the righ of the y-axis (i.e. the domain of the function is x > 0)
1) Regarding the function
That is due to the properties of logarithm function:
a)
b)
<span>
That in turn is due to the properties of the exponential functions.
a^0 = 1 and a^1 = a
</span>
2) Regarding the y-axis.
The function
Answer:
0.02% probability that the average amount billed on the sample bills is greater than $500.
Step-by-step explanation:
The Central Limit Theorem estabilishes that, for a random variable X, with mean and standard deviation
, a large sample size can be approximated to a normal distribution with mean
and standard deviation
.
Normal probability distribution
Problems of normally distributed samples can be solved using the z-score formula.
In a set with mean and standard deviation
, the zscore 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 pvalue, we get the probability that the value of the measure is greater than X.
In this problem, we have that:
.
What is the probability that the average amount billed on the sample bills is greater than $500?
This probability is 1 subtracted by the pvalue of Z when . So
has a pvalue of 0.9998.
So there is a 1-0.9998 = 0.0002 = 0.02% probability that the average amount billed on the sample bills is greater than $500.