Write (5x-2)^2 as a trinomial in expanded form.
2 answers:
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Answer:
144 sq. ft.
Step-by-step explanation:
In order to find the area, we have to know the length of the sides.
Since the figure is a cube, the way that the volume was found was by multiplying one side length by itself two times.
s^3 = cube volume.
So, to find the length of one side, we have to find the cube root of the volume.
= 12
Now that we know the side length, we just need to multiply it by itself to find the area of the floor space.
12 * 12 = 144
Answer:
a) E(X) = 71
b) V(X) = 20.59
Sigma = 4.538
Step-by-step explanation:
<em>The question is incomplete:</em>
<em>According to a 2010 study conducted by the Toronto-based social media analytics firm Sysomos, 71% of all tweets get no reaction. That is, these are tweets that are not replied to or retweeted (Sysomos website, January 5, 2015). </em>
<em> Suppose we randomly select 100 tweets. </em>
<em>a) What is the expected number of these tweets with no reaction? </em>
<em>b) What are the variance and standard deviation for the number of these tweets with no reaction?</em>
This can be modeled with the binomial distribution, with sample size n=100 and p=0.71, as the probability of no reaction for each individual tweet.
The expected number of these tweets with no reaction can be calcualted as the mean of the binomial random variable with these parameters:
The variance for the number of these tweets with no reaction can be calculated as the variance of the binomial distribution:
Then, the standard deviation becomes: