Given:
Student ticket price = $7
A group of 4 students and 3 adults paid $64 in all for movie tickets.
To find:
Each of the adult ticket cost.
Solution:
Let x be the cost of each adult ticket.
Then, cost of 3 adult tickets = 3x.
Cost of 1 student ticket = $7
Cost of 4 student ticket = $7(4)
According to the question,
Divide both sides by 3.
Therefore, the cost of each adult ticket is $12.
We're told that
where the last fact is due to the law of total probability:
so that and
are complementary.
By definition of conditional probability, we have
We make use of the addition rule and complementary probabilities to rewrite this as
By the law of total probability,
and substituting this into gives
Answer:
1. Some numbers, such as , have a decimal expansion that terminates.
2. All real numbers have a decimal expansion.
5. Some numbers, such as , have a decimal expansion that repeats but does not terminate.
Step-by-step explanation:
According to the options, we have,
1. Some numbers, such as , have a decimal expansion that terminates.
It is correct as the decimal expansion of is 0.1, which terminates.
2. All real numbers have a decimal expansion.
This is also correct as both rational and irrational numbers can be written in decimal form.
3. Some numbers, such as do not have a decimal expansion
This is not correct as i.e. it has a decimal expansion.
4. Only some real numbers have a decimal expansion.
It is not correct as 2 is correct.
5. Some numbers, such as , have a decimal expansion that repeats but does not terminate.
It is correct as , which is non-terminating decimal expansion.
So, the correct options are,
1. Some numbers, such as , have a decimal expansion that terminates.
2. All real numbers have a decimal expansion.
5. Some numbers, such as , have a decimal expansion that repeats but does not terminate.
Answer:
x = 5
Step-by-step explanation:
Hope this helps.