Answer:
31
Step-by-step explanation:
The median is 8 and the mode is 6, therefore the difference between the median and the mode is 2
Answer:
47,643
Step-by-step explanation:
This question is basically asking you to add up all of these numbers together and present the end result.
1) 40,000 + 7,000 = 47,000
2) 600 + 40 + 3 = 643
3) 47,000 + 643 = 47,643.
Let the three gp be a, ar and ar^2
a + ar + ar^2 = 21 => a(1 + r + r^2) = 21 . . . (1)
a^2 + a^2r^2 + a^2r^4 = 189 => a^2(1 + r^2 + r^4) = 189 . . . (2)
squaring (1) gives
a^2(1 + r + r^2)^2 = 441 . . . (3)
(3) ÷ (2) => (1 + r + r^2)^2 / (1 + r^2 + r^4) = 441/189 = 7/3
3(1 + r + r^2)^2 = 7(1 + r^2 + r^4)
3(r^4 + 2r^3 + 3r^2 + 2r + 1) = 7(1 + r^2 + r^4)
3r^4 + 6r^3 + 9r^2 + 6r + 3 = 7 + 7r^2 + 7r^4
4r^4 - 6r^3 - 2r^2 - 6r + 4 = 0
r = 1/2 or r = 2
From (1), a = 21/(1 + r + r^2)
When r = 2:
a = 21/(1 + 2 + 4) = 21/7 = 3
Therefore, the numbers are 3, 6 and 12.
Answer:
I'm assuming it would be 3 hours
Step-by-step explanation:
It would be 3 hours because after three hours, the candle that can only burn for 3 hours will have burned out. This leaves the candles that can burn for 4 and 5 hours. I guess if you want to get really specific you could say 3 hours and 59 minutes but I'm not totally sure how your teacher wants the answer
