If the cost of half a ton of cement is $185, what is the cost per pound.
1 answer:
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Check the picture below.
well, it's noteworthy to say that when dropping a perpendicular line from a right angle in a right triangleto the hypotenuse, we'd end up with 3 similar triangles, a Large a Medium and a Small one, all three similar.
3a)
is the Small similar to the Large one? well, let's notice, they both have a 90° angle and also they share the purple one, similar triangles by AA.
3b)
are the Medium and the Large one similar? well, let's notice, just like before, they both have a 90° and they also share the green one, similarity by AA.
3c)
are the Small and Medium similar?
if Large ~ Medium
and
Large ~ Small
then
Medium ~ Small.
Answer:
a) Figure attached
b)
c) For the case n= 6
For the case n= 5
So then we need at least n=5 or n=6 to satisfy the condition required.
Step-by-step explanation:
Previous concepts
The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".
Solution to the problem
Let X the random variable of interest, on this case we now that:
The probability mass function for the Binomial distribution is given as:
Where (nCx) means combinatory and it's given by this formula:
Part a
For this case we can use the following R code:
> x <- seq(0,9,by = 1)
> y <- dbinom(x,9,0.7)
> plot(x,y,main="Histogram",type = "h")
And we can see on the figure attached the solution.
We see that the higher probabilities are from 4 to 9
Part b
The expected value is given by:
The variance is given by:
And the standard deviation is:
Part c
First we can find the probability that at least two addresses will be found in the list of 9 that we have like this:
We can use the complement rule and we have:
We find the indicidual probabilities:
If we use the case of n=8 and we find , we got:
For the case n= 7
For the case n= 6
For the case n= 5
So then we need at least n=5 or n=6 to satisfy the condition required.
