Comparing with the original expression, the value that will go into the green box is 5
<h3>Exponents and indices</h3>
Given the indices expression below;
Since 4^-5 is equivalent to 1/4^5, hence the given expression will be equivalent to;
Comparing with the original expression, the value that will go into the green box is 5
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Answer:
Step-by-step explanation:
The exponential distribution is "the probability distribution of the time between events in a Poisson process (a process in which events occur continuously and independently at a constant average rate). It is a particular case of the gamma distribution". The probability density function is given by:
And 0 for other case. Let X the random variable that represent "The number of years a radio functions" and we know that the distribution is given by:
We can assume that the random variable t represent the number of years that the radio is already here. So the interest is find this probability:
We have an important property on the exponential distribution called "Memoryless" property and says this:
Where a represent a shift and t the time of interest.
On this case then
We can use the definition of the density function and find this probability:
SOLUTION
Given B is the midpoint of AC ABBC 1 and C is the midpoint of BD BCCD2 ie on adding 1 and 2 ART We get ABBCBCCD hence ABCD hence proved
Answer: x ≥ 6
Step-by-step explanation:
Recall that a rational function:
has a vertical asymptote at x₀ if and only if:
Also, the roots of the above rational function are the same as P(x).
Since the rational function has a vertical asymptote at x=-1, we get that its denominator must be:
Since the rational function has a double zero at x=2 we get that its numerator must be of the form:
Finally, since the rational function has y-intercept at (0,2) we get that:
Simplifying the above equation we get:
Dividing the above equation by 4 we get:
Therefore, the rational function that satisfies the given conditions is:
Answer:
The numerator is:
The denominator is: