Use the diagram attached below. Find the straight distance between the zoo and movie theater.
1 answer:
Answer:
The distance would be around 9.66 blocks
Step-by-step explanation:
If you draw a straight line from zoo to movie theater, we have a triangle.
The given angle is 86 degrees, the two sides adjacent to it are 6 and 8 and we want to find the side opposite (let it be "p") to the given angle.
We will use cosine rule to find this. The rule is:
Where
a and b are the two adjacent sides to the given angle
a = 6
b = 8
p is what we are looking for
P is the angle given
So, substituting and finding the value:
The distance would be around 9.66 blocks
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Answer:
$195.00
Step-by-step explanation:
perimeter is 54 feet
area is 152
54' * $1.50 = $81.00
152/8 = 19 bags of mulch needed
19*$6.00= $114.00
$195.00 you get away from the store for under 200 :P
P.S. since you said you'll do anything, send me $1,000,000.00 dollars :D
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