Answer:
Step-by-step explanation:
The diagonals of the given parallelogram are QS and RT. We would first determine if its diagonals are congruent.
QS = √(1 - 5)² + (3 - 3)² = 16
RT = √(3 - 3)² + (4 - 2)² = 4
Since QS ≠ RT, it means that they are not congruent and this means that the parallelogram is not a rectangle.
Let us check if the diagonals are perpendicular.
Slope of QS = (3 - 3)/(5 - 1) = 0/4
Slope of RT = (2 - 4)/(3 - 3) = - 2/0
The slopes are not opposite reciprocals. It means that the diagonals are not perpendicular. Therefore, the correct option is
D. QRST is none of these because its diagonals are neither congruent nor perpendicular.
Answer:
4/76 or simplified as 1/19
Step-by-step explanation:
5/20 is for the probability of the first balloon
4/19 is for the probability of the second balloon
5/20 can be simplified to 1/4 so 1/4 x 4/19 = 4/76
4/76 can also be simplified to 1/19
Let x represent lower level tickets that cost $77
Let y represent upper level tickets that cost $99
Cost equation: 77x + 99y = 247,071
Tickets equation: x + y = 2615
Using the elimination method, multiply the second equation by -77:
77x + 99y = 247,071
-77x - 77y = -201,355
--> 22y = 45,716
--> y = 2,078
Now plug "y" into either equation and solve for "x". I chose the Tickets equation. x + y = 2615 → x = 2615 - y → x = 2615 - 2078 → x = 537
Answer: lower level = 537 tickets, upper level = 2078 tickets.
Answer:
The median and IQR are better statistical measures when a data set has outliers. Using the median, you can infer that the home prices for Cinnamon Court are higher than those of Pepper Hill Road. Using the IQR you can infer that home prices on Cinnamon Court are less variable than on Pepper Hill.
Step-by-step explanation:
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Answer + Step-by-step explanation:
let R be the set of farmers cultivating rice.
let W be the set of farmers cultivating wheat.
let n be the total number of farmers.
i) Check the attachment.
ii) Card R∪W = Card R + Card W - Card R∩W
Note : Card R denotes the number of farmers cultivating rice.
Card R∪W = Card R + Card W - Card R∩W
iiI) the number of farmers who are cultivating rice only :
