DJ has $24 more than twice as much as Tucker. Together they have $132. How much does DJ have?
1 answer:
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This is a polynomial of degree 2, and remember that complex roots always come in pairs; therefore, in a second degree polynomial you can only have 0 real roots and 2 complex roots, or 2 real roots and 0 complex roots. There is no way you can have 1 real root and 1 complex root because, as stated before, complex (non-real) roots always come in pairs; so the only way of having 1 real root is dumping the polynomial of degree 2 (
) by changing the 14 to 0. That way we'll left with 
which only has one real root:
If this is your graph then your answer is 41.41 if not ask again and put your graph or copy it then paste it in the comments
Answer:
a) The mean number is 745 and the standard deviation is 25.18.
b) 896 deaths is a significantly high number, which means that there is cause for concern.
Step-by-step explanation:
For each death, there are only two possible outcomes. Either it is attributable to myocardial infarctions, or it is not. The probability of a death being attributable to myocardial infarctions is independent of other deaths. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
Probability of exactly x sucesses on n repeated trials, with p probability.
The expected value of the binomial distribution is:
The standard deviation of the binomial distribution is:
A value X is significantly high is:
In this problem:
a. Find the mean and standard deviation for the number of such deaths that will occur in typical region with 5000 deaths.
The mean number is 745 and the standard deviation is 25.18.
b. In one region, 5000 death certificates are examined, and it is found that 896 deaths were attributable to myocardial infarction. Is there cause for concern? Why or why not?
Is 896 a significantly high number?
895 > 795.36
896 deaths is a significantly high number, which means that there is cause for concern.