Answer:
Step-by-step explanation:
If the diagonals of the rectangle are congruent,
AC = BD
By using formula to calculate the distance between two points,
Distance between two points = 
Distance between A(0, -3) and C(2, 8),
AC = 
= 
= 
Similarly, distance between two points B(-4, 0) and D(6, 5),
BD = 
=
=
Therefore, both the diagonals are congruent.
Hence, given quadrilateral ABCD is a rectangle.
Step-by-step explanation:
Given:
x = 26214.47
s = 5969.25
n = 15
t = 2.046
The confidence interval is:
CI = x ± t (s / √n)
CI = 26214.47 ± 2.046 (5969.25 / √15)
CI = (23061.06, 29367.88)
Answer:
Number of sodas sold: 78
Number of hot dogs sold: 24
Step-by-step explanation:
Number of sodas sold = x
Number of hot dogs sold = x - 54
Total number of sodas and hot dogs = x + x - 54 = 2x - 54
Total number = 102
2x - 54 = 102
2x = 156
x = 78
Number of sodas sold = x = 78
Number of hot dogs sold = x - 54 = 78 - 54 = 24
Answer:
Number of sodas sold: 78
Number of hot dogs sold: 24
