IM 20 MIN AWAY FROM FAILING PLZZZ HELPPPP
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The easiest way to find a parallel equation is to write your equation in slope-intercept form. The general equation for slope-intercept form is y = mx + b, where m = the slope of the equation, b = the y intercept, and x and y are your variables.
You're given 5x + 10y = -4.
1) Move 5x to the right side by subtracting 5x from both sides:
5x + 10y = -4
10y = -5x - 4
2) Divide both sides by 10 to get y by itself on the left. Simplify:
<span>Remember that for parallel lines, the slope, m, is the same for both equations. You can make the y-intercept, b, whatever number you want.
When the equation is in slope-intercept form, </span>
, you can see that 
.
A parallel equation is in the form:
Plug in anything you want for b. One example is:
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Answer: (just one example)
You're given 5x + 10y = -4.
1) Move 5x to the right side by subtracting 5x from both sides:
5x + 10y = -4
10y = -5x - 4
2) Divide both sides by 10 to get y by itself on the left. Simplify:
<span>Remember that for parallel lines, the slope, m, is the same for both equations. You can make the y-intercept, b, whatever number you want.
When the equation is in slope-intercept form, </span>
A parallel equation is in the form:
Plug in anything you want for b. One example is:
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Answer:
Answer:
a) Figure and code attached
b)
c)
And we can calculate this with the complement rule.
So then we have:
And we are interested on the valueof n who satisfy this expression.
And for this we can verify this with the following code:
"=BINOM.DIST(6,E54,0.2,TRUE)"
And as we can see on the second figure attached the value who satisfy the condition would be n = 60.
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
We can use the following R code to generate the histogram for this case:
> x <- seq(0,8,by = 1)
> y <- dbinom(x,8,0.2)
> plot(x,y,type = "h",main="Histogram")
And as we can see we got the result on the figure attached. And the distribution seems to be skewed to the right.
Part b
For this case the expected value is given by:
The variance is given by:
And the standard deviation would be:
Part c
For this case we have the following inequality:
And we can calculate this with the complement rule.
So then we have:
And we are interested on the valueof n who satisfy this expression.
And for this we can verify this with the following code:
"=BINOM.DIST(6,E54,0.2,TRUE)"
And as we can see on the second figure attached the value who satisfy the condition would be n = 60.
