What is the area of a right triangle 21 centimeters wide and 13 centimeters tall?
2 answers:
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Answer: x = 31
Step-By-Step:
<u>To Find x:</u>
<u /> (Angle Sum Property Of Triangles)
(Remove the brackets)
<u /><u />
(Group Accordingly)
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=
=
=
=
=
=
<u>Therefore</u> x = 31
So,
Angle A = x + 10 = 31 + 10 = 41
Angle B = 2*x + 20 = 2*31 + 20 = 82
Angle C = 2*x - 5 = 62 - 5 = 57
Answer:
18
Step-by-step explanation:
First, you would do a proportion
=
Then you would cross multiply, getting 50x=900.
After that, you would do 900/50, which is 18.
Answer:
See the proof below.
Step-by-step explanation:
Assuming this complete question: "For each given p, let Z have a binomial distribution with parameters p and N. Suppose that N is itself binomially distributed with parameters q and M. Formulate Z as a random sum and show that Z has a binomial distribution with parameters pq and M."
Solution to the problem
For this case we can assume that we have N independent variables with the following distribution:
bernoulli on this case with probability of success p, and all the N variables are independent distributed. We can define the random variable Z like this:
From the info given we know that
We need to proof that by the definition of binomial random variable then we need to show that:
The deduction is based on the definition of independent random variables, we can do this:
And for the variance of Z we can do this:
And if we take common factor we got:
And as we can see then we can conclude that