Hello from MrBillDoesMath!
Answer:
Choice B ( (x+6)/5) )
Discussion:
y = f(x) = 5x - 6
To solve for the inverse of f, replace "y" by "x" and "x" by "y" in the original equation. That is, solve for "y" in
x = 5y -6 => add 6 to both sides
x + 6 = 5y => divide both sides by 5
y = (x+6)/5
"y" above is the inverse, which is Choice B
Thank you,
MrB
Answer:
The answer is 1
Step-by-step explanation:
- 3/4×13/3÷13/4
- 3/4×13/4×4/13
- =1
Im gonna assume you are solving for x, the equation (x + 3)2 = 49 x is equal to 21.5 or 21 and 1/2. however the rest aren’t equations they’re just x = number and there isn’t much to do with that
Answer and Step-by-step explanation:
× 12 can also be written as
because the 12 is multiplying the numerator of the fraction.
12 can also be written as
.
When we solve, this is what is happening:
× 
The 12 will be multiplying the 2, while the 1 will be multiplying the 3. Because 3 times 1 is 3, we don't show the 1. So, that can leave us with 2 being multiplied by 12 in the numerator.
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Answer:

And if we find the individual probability we got:

And replacing we got:

Step-by-step explanation:
Previous concepts
The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".
Solution to the problem
Let X the random variable of interest, on this case we now that:
The probability mass function for the Binomial distribution is given as:
Where (nCx) means combinatory and it's given by this formula:
And we want to find this probability:

And we can use the complement rule and we got:

And if we find the individual probability we got:

And replacing we got:
