The sum of two numbers is 59. The difference between 2 times the first number and 6 times the second is -34. Find the two number
1 answer:
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Answer:
Area = square units
Step-by-step explanation:
<u>Key skills needed: Area of a parallelogram</u>
1) This shape is a parallelogram, and the way to find the area of a parallelogram is:
A = area
b = base (the side at the bottom
h = the height ( the length that runs from one side to another and makes a right angle)
2) The base (b) would be 3x. The height (h) would also be 3x
3) This means A =
3 times 3 is 9 --> and x times x is
Therefore the area is -->
<em>Hope you understood and have a nice day!! :D</em>
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