Answer:
Mean travel time = 10.33 minutes
Step-by-step explanation:
The mean of a distribution is a measure of central tendency that shows the centre of a set of data. Mathematically, it is represented as:
Mean = Sum of the terms ÷ Number of terms
Mean = (10 + 13 + 16 + 5 + 4 + 14) ÷ 6
Mean = 62 ÷ 6 = 10.33
∴ Mean travel time = 10.33 minutes
N:B 10.33 minutes = 10 minutes + 0.33 minutes
converting 0.33 minutes to seconds
1 minute = 60 seconds
∴ 0.33 minute = 60 × 0.33 = 19.8 seconds
∴ Mean time = 10 minutes 20 seconds
Answer:
Step-by-step explanation:
A) The diagonals of a parallelogram are perpendicular
B) The diagonals of a kite bisect each other
- Sometimes (one of the diagonals is bisected)
C) A polygon is a quadrilateral
- Sometimes (when it has 4 sides)
D) Thé diagonals of a rectangle are equal
- Always (definition of rectangle)
E) Thé opposite angles of a parallelogram are equal
- Always (definition of parallelogram)
F) A rhombus is a rectangle
- Never (when all interior angles are equal it becomes a square)
The first five terms of the recursively defined sequence are 6, 12, 48, 768, 196608
For given question,
We have been given the recursive formula of a sequence.
Also, the first term of the sequence is,
a1 = 6
Substitute k = 1 in given recursive formula.
⇒ 
⇒ a2 = 1/3 (6)²
⇒ a2 = (1/3) × 36
⇒ a2 = 12
Substitute k = 2 in given recursive formula.
⇒ 
⇒ a3 = (1/3) × (12)²
⇒ a3 = (1/3) × 144
⇒ a3 = 48
Substitute k = 3 in given recursive formula.
⇒ 
⇒ a4 = (1/3) × (48)²
⇒ a4 = (1/3) × 2304
⇒ a4 = 768
Substitute k = 4 in given recursive formula.
⇒ 
⇒ a5 = (1/3) × (768)²
⇒ a5 = (1/3) × 589824
⇒ a5 = 196608
Therefore, the first five terms of the recursively defined sequence are 6, 12, 48, 768, 196608
Learn more about the recursive formula of sequence here:
brainly.com/question/14457800
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