Answer:
Step-by-step explanation:
To find the inverse of a function you take it in y=f(x) form, switch x and y and then solve for the new y.
So I'll do the first one.
f(x) = 8x-10
y=8x-10 Now switch x and y
x = 8y-10 Now solve for y.
x+10=8y
(x+10)/8 = y
g(x) is not that, so it is not the inverse. Can you figure out the second one?
Answer:
5/4 P dollars
Step-by-step explanation:
Given that,
price of pony = P
Tax which is to added in the total price of pony = 25% of pony price
so, now total price of pony including its tax = P + 25%P
= P + 25/100 P
= P + 1/4 P
= 5/4 P dollars
= 1.25 P dollars
Answer:
And we can find the individual probabilities:
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 associated to a failure would be p =1-0.09 = 0.91
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 find the individual probabilities:
And replacing we got:
Answer:
I'm pretty sure it's the first one