The length of each side of octagon is 1.66 inches.
Answer:
a) 19 students
b) the mean 3 9/19
the median 3
the mode 3
c) the range 6
Step-by-step explanation:
The data set shows that
0 points gets 1 student,
1 point gets 1 student,
2 points get 2 students,
3 points get 6 students,
4 points get 4 students,
5 points get 3 students and
6 points get 2 students.
a) There are 1+1+2+6+4+3+2=19 students.
b) The mean is
The average score is 3 9/19 points.
The median is 10th term in the data set - 3 points (means the middle score in the data set)
The mode is 3 points (means most happened score)
c) The range of the data is 6-0=6 points.
Convert to a mixed number:
239/42
Divide 239 by 42:
4 | 2 | 2 | 3 | 9
42 goes into 239 at most 5 times:
| | | | 5
4 | 2 | 2 | 3 | 9
| - | 2 | 1 | 0
| | | 2 | 9
Read off the results. The quotient is the number at the top and the remainder is the number at the bottom:
| | | | 5 | (quotient)
4 | 2 | 2 | 3 | 9 |
| - | 2 | 1 | 0 |
| | | 2 | 9 | (remainder)
The quotient of 239/42 is 5 with remainder 29, so:
Answer: 5 29/42
If K is midpoint of JL then JK = 0.5JL
JL = 4x - 2; JK = 7
The equation:
0.5(4x - 2) = 7
2x - 1 = 7 |add 1 to both sides
2x = 8 |divide both sides by 2
<u>x = 4</u>
<u>JL</u> = 4(4) - 2 = 16 - 2 = <u>14</u>
<u>KL</u> = JK =<u> 7</u>
Answer: the number of adult and student tickets sold are (45, 29)
Step-by-step explanation:
Let x represent the number of adult tickets that were sold.
Let y represent the number of student tickets that were sold.
On Wednesday, a total of 74 tickets were sold. This means that
x + y = 74
x = 74 - y- - - - - - - - - - - - - - 1
If adult tickets are sold for $15 and student tickets are sold for $11 and the money collected was $994, it means that
15x + 11y = 994- - - - - - - - - - - - - - 2
Substituting equation 1 into equation 2, it becomes
15(74 - y) + 11y = 994
1110 - 15y + 11y = 994
- 15y + 11y = 994 - 1110
- 4y = - 116
y = - 116/ - 4
y = 29
Substituting y = 29 into equation 1, it becomes
x = 74 - 29 = 45
