Answer: the cost of an adult ticket is $21.5
the cost of a child ticket is $15.5
Step-by-step explanation:
Let x represent the cost of an adult ticket.
Let y represent the cost of a child ticket.
At an amusement park, the cost of 3 adult tickets and 4 children's tickets is $126.50. It means that
3x + 4y = 126.5- - - - - - - - - - - -1
Another customer paid $120.50 for 2 adult tickets and 5 children's tickets. It means that
2x + 5y = 120.5- - - - - - - - - - - -2
Multiplying equation 1 by 2 and equation 2 by 3, it becomes
6x + 8y = 253
6x + 15y = 361.5
Subtracting, it becomes
- 7y = - 108.5
y = - 108.5/ - 7
y = 15.5
Substituting y = 15.5 into equation 1, it becomes
3x + 4 × 15.5 = 126.5
3x + 62 = 126.5
3x = 126.5 - 62
3x = 64.5
x = 64.5/3
x = 21.5
Answer:
10%
Step-by-step explanation:
The appropriate formula for the future value of an account with compound interest is ...
A = P(1 +r)^t
where r is the annual rate, and t is the number of years.
Fill in the given values and solve for r:
4840 = 4000(1 +r)^2
4840/4000 = (1 +r)^2
√1.21 = 1 +r
1.1 = 1 +r
r = 1.1 -1 = 0.10
r = 10%
The rate is 10%.
Answer:
If you want someone to give a good answer, you'll need to give a lot more detail than this, explain the question more.
Answer:
74
Step-by-step explanation:
(73 + 85 + 70 + 63 + x)/5 = 73.
You find the average by adding all of the test scores and dividing that number by the number of tests. We had four test, so will will take that total, plus some mystery number (let's call it x), we divide that total by 5 because now there are 5 tests and not 4. We already know what we want the average to be, we want the average to be 73. We now have:
(291 + x)/5 = 73 Multiply both sides by 5
291 + x =365 Subtract 291 from both sides to get
x = 74
Answer:
Forty-seven percent is the statistic and 31% is the parameter
Step-by-step explanation:
Various terms are used in mathematics when it comes to carrying out particular studies in statistics.
A) Parameter
A parameter when is comes to statistical studies can be defined as the term that tells us more about a group or population of people.
B) Statistic
Statistic is a measure that tells us about is a characteristic of a sample or part of a given population.
In the above question, we are told that: a study of parents of kindergarteners included 349 parents who were chosen at random. Of these parents, 47% said they sent their children to pre-kindergarten. School records show that only 31% of parents of kindergarteners sent their children to pre- kindergarten.
According to the definition of Parameter and Statistic that I explained above,
A) The Parameter is 31% . This is
because it tell us about percentage ( a sample) of parents whose children are in kindergarten that sent their children to prekindergarten first.
B) The Statistic is 47% . This is because, it tell us about the percentage of parents that sent their children to prekindergarten.