Micah is buying items for a birthday party. If he wants to have the same amount of each item, what is the least number of packag
2 answers:
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Let numbers of books be 'b' and numbers of CDs be 'c'
We can set up two equations:
Equation [1] ⇒
Equation [2] ⇒
We are solving for the number of books and the number of CDs bought
When we have two equations in terms of two different variables;
and 
, that we need to solve, then this becomes a simultaneous equation problem.
First, rearrange Equation [1] to make either or the subject:
Then we substitute into Equation [2]
Now we know the value of which is , substitute this value into we have 
Answer:
Numbers of books = 13
Numbers of CDs = 7
We can set up two equations:
Equation [1] ⇒
Equation [2] ⇒
We are solving for the number of books and the number of CDs bought
When we have two equations in terms of two different variables;
First, rearrange Equation [1] to make either
Then we substitute
Now we know the value of
Answer:
Numbers of books = 13
Numbers of CDs = 7
Answer:
a) Mean = 1030; Standard deviation = 12.38.
b) The county result is unusually high.
Step-by-step explanation:
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
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. Subtracting 1 by the pvalue, we This p-value is the probability that the value of the measure is greater than X.
(a) Find the mean and standard deviation for the number of high school graduates in groups of 1210 Americans over the age of 25.
This first question is a binomial propability distribution.
We have a sample of 1210 Amricans, so .
The mean of the sample is 1030.
The probability of a success is .
The standard deviation of the sample is
(b) Is that county result of 1030 unusually high, or low, or neither?
The first step is find the zscore when .
Then we find the pvalue of this zscore.
If this pvalue is bigger than 0.95, the county result is unusually high.
If this pvalue is smaller than 0.05, the county result is unusually low.
Otherwise, it is neither.
The national mean is 82%. So,
has a pvalue of 0.9989.This means that the county result is unusually high.