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ruslelena [56]
3 years ago
9

Find the value of the unique real number theta between 0 and 2pi that satisfies the given conditions.

Mathematics
1 answer:
romanna [79]3 years ago
3 0
135 and 225



Explanation: This one is very hard for me to explain sorry


Mark brainliest please
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In a population where 77% of voters prefer Candidate A, an organization conducts a poll of 19 voters. Find the probability that
Rus_ich [418]

Answer:

P(X=14)=(19C14)(0.77)^{14} (1-0.77)^{19-14}=0.1928

Then the probability that 14 of the 19 voters will prefer Candidate A is approximately 0.1928 or 19.28%

Step-by-step explanation:

We can define X the random variable of interest "number of voters that will prefer Candidate A", since we have a sample size given and a probability of success we can use the binomial distribution to model the random variable. And on this case we can assume the following distribution:

X \sim Binom(n=19, p=0.77)

The probability mass function for the Binomial distribution is given by:

P(X)=(nCx)(p)^x (1-p)^{n-x}

Where (nCx) means combinatory and it's given by this formula:

nCx=\frac{n!}{(n-x)! x!}

For this problem we want to find this probability:

P(X=14)

And usign the probability mass function defined before we got:

P(X=14)=(19C14)(0.77)^{14} (1-0.77)^{19-14}=0.1928

Then the probability that 14 of the 19 voters will prefer Candidate A is approximately 0.1928 or 19.28%

3 0
3 years ago
What it is the square root of 82 in decimal form
sergeinik [125]
The answer is 9.05538513814
7 0
3 years ago
Read 2 more answers
4. Find the value of r so that the line that passes through the following points has
makkiz [27]

Answer:

r = -9

Step-by-step explanation:

use the slope formula:

(2-0) / (r-3) = -1 /6

cross-multiply:

-1(r - 3) = 2(6)

-r + 3 = 12

-r = 9

r = -9

7 0
3 years ago
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