When x 4, y = 1 х^2 + Зry — 7у^2 Can you explain the whole answer.
1 answer:
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Answer:
a)
b)
And adding these values we got:
c) We can find the expected value given by:
And the standard deviation would be:
We can use the approximation to the normal distribution and we have at leat 95% of the data within 2 deviations from the mean. And the lower limit for this case would be:
And then we can consider a value of 18 as unusual lower for this case.
Step-by-step explanation:
Let X the random variable of interest "number cleared by arrest or exceptional", on this case we can model this variable with this distribution:
The probability mass function for the Binomial distribution is given as:
Where (nCx) means combinatory and it's given by this formula:
Part a
We want this probability:
Part b
We want this probability:
We can find the individual probabilities:
And adding these values we got:
Part c
We can find the expected value given by:
And the standard deviation would be:
We can use the approximation to the normal distribution and we have at leat 95% of the data within 2 deviations from the mean. And the lower limit for this case would be:
And then we can consider a value of 18 as unusual lower for this case.
The length of CS is 11.0
Explanation:
Given that the length of the tangent AR is 12
The length of SR is 7.7
To find: The length of CS
The<u> tangent secant theorem</u> states that "if a tangent and a secant are drawn from an external point to a circle, then the square of the measure of the tangent is equal to the product of the measures of the secant’s external part and the entire secant."
Applying the tangent secant theorem, we have,
Rewriting the above equation, we get,
Substituting the values, we get,
Simplifying, we have,
Subtracting both sides by 59.29, we get,
Dividing both sides by 7.7, we have,
Rounding off to the nearest tenth, we get,
Thus, the length of CS is 11.0