Solution for f(g(5)):
The notation f(g(5)) or (f • g)(5) means that we first plug 5 into the function g(x), simplify, then plug the answer that we got to f(x). We will do this step-by-step:
Step 1: Plugging 5 to g(x)
Step 2: Plugging the answer to f(x)
ANSWER: f(g(5)) is equal to 3.
Domain:
For the function f(g(x)), we can find the domain by analyzing the domains of each individual functions separately and excluding certain values depending on the restrictions from the outermost function.
However, since both functions have all real numbers as its domain, we will not need to do any exclusion anymore.
ANSWER: The domain of the function is all real numbers.
which of the following group of numbers are all prime numbers a.2,5,15,19 b.7,17,29,49 c.3,11,23,31 d.2,3,5,9,
antoniya [11.8K]
Prime numbers are those that cannot be divided by another number (other than themselves and 1). In other words, prime numbers have factors of themselves and 1.
For example, 3 is a prime number because its only factors are 3 and 1.
6 is not a prime number because it can be factored to 3*2.
Therefore, the correct answer is c. 3,11,23,31
The probability of Event A is 5/10 which simplifies to 1/2.
The probability of Event B is 3/9 which simplifies to 1/3.
Because it says "and" we need to multiply them which gives us 1/2*1/3=1/6
I could try but I’m only in 7th grade
Answer:
P( At least one of the two cards was a heart)=7/16
Step-by-step explanation:
The solution to this question can be found in two ways.
First way: Since total number of heart in a deck are four,
Probability that neither of two cards had a heart is that at both times the card drawn was not a heart, since it is an independent event, thus probability both were not heart= 
×
=
Thus, Probability that at least one of the two cards was a heart= 1- P( Neither of two cards had a heart= 1-
=
Second way:
Probability that first card drawn is a heart and the second one is not a heart= 
×
=
Probability that the first card drawn is not a heart and the second one is a heart= ×
=
Probability that both cards drawn are hearts= ×
=
Adding all these probabilities, we have the probability that at least one of the card drawn was heart=
