Answer:
x>-5
Step-by-step explanation:
The mean is where you add all of the numbers in that set together, and divide it by the amount of numbers you have. E.g. For Set 1 - 10 + 15 + 20 + 25 + 30 + 50 = 150 ÷ 6 = 25
For Set 2 you just repeat the process:
1. Add the numbers in the set together, this gives you a total of 111
2. Then divide 111 by 5 as you have 5 numbers, giving you 22.2
Therefore set 1 has the higher mean :)
The answer is C, set 1, 25 :)
Assuming Earth's gravity, the formula for the flight of the particle is:
s(t) = -16t^2 + vt + s = -16t^2 + 144t + 160.
This has a maximum when t = -b/(2a) = -144/[2(-16)] = -144/(-32) = 9/2.
Therefore, the maximum height is s(9/2) = -16(9/2)^2 + 144(9/2) + 160 = 484 feet.
Answer: 80 miles for the first ship, and 150 miles for the other.
Explanation:
First thing we should do is correspond each number with a letter:
Let x be the distance travel by ship heading east
Let y be the distance travel by ship heading south
y = x + 70 -- (1)
sqrt(x^2 + y^2) = 170 -- (2)
Subtract (1) into (2):
sqrt(x^2 + (x + 70)^2) = 170
x^2 + x^2 + 140x + 4900 = 28900
2x^2 + 140x - 24000 = 0
x ^2 + 70x - 12000 = 0
(x - 80)(x + 150) = 0
x = 80 or -150
Since the distance for the first ship can’t be negative, therefore, x = 80 -- (3)
Subtract (3) into (1), therefore, y = 150
Hope this helps! :)
