Answer:
And using the probability mass function we got:
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:
And we want to find this probability:
And using the probability mass function we got:
Is there more to the question that we don't have yet?
The distributive property states:
Using that we get:
You could also do it like:
So an expression that is equivalent to 5(3+4) is:
That is your answer. It gets you the same final answer of 35.
Hope that helped :)
Answer:
Sum of the interior angles=900º
x=80º
∠A=110º
∠C=130º
∠E=125º
Step-by-step explanation:
The shape is a heptagon. Meaning, the sum of the interior angles is 180º(n-2) where n is the number of sides. So, 180º(7-2)=180º(5)=900º.
So, we can add up all the angles.
x+30º+140º+x+50º+115º+x+45º+140º+140º=900º
3x+660º=900º
3x=240º
x=80º
Then, we can substitute for ∠A, ∠C, and ∠E
∠A=80+30=110º
∠C=80+50=130º
∠E=80+45=125º