Calculate the factorization 16w^2+48w+36=(4w+[1])^2
1 answer:
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The complete question in the attached figure
Let
x-----------------> number of <span>paintbrushes----------- > $0.95 each
y---------------- > number of jar of paint-------------- > $0.99 each
we know that
0.95x+0.99y = </span><span>$4.87
</span><span>
using a graph tool
</span>the solution will be a pair of coordinates that are whole numbers -- > see the attached figure
<span>
the solution is the point (2,3)
x=2---------------------- > </span>number of paintbrushes
y=3---------------------- > number of jar of paint
the answer is
number of paintbrushes=2
number of jar of paint=3<span>
</span>
Let
x-----------------> number of <span>paintbrushes----------- > $0.95 each
y---------------- > number of jar of paint-------------- > $0.99 each
we know that
0.95x+0.99y = </span><span>$4.87
</span><span>
using a graph tool
</span>the solution will be a pair of coordinates that are whole numbers -- > see the attached figure
<span>
the solution is the point (2,3)
x=2---------------------- > </span>number of paintbrushes
y=3---------------------- > number of jar of paint
the answer is
number of paintbrushes=2
number of jar of paint=3<span>
</span>
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.