<span>An impulse is the change in momentum. Momentum is mass times velocity.
Because the mass does not change, a change in velocity is what creates an impulse.
(14.0 m/s - 6.0 m/s) = 8.0 m/s.
(150 kg)x(8.0 m/s) = 1200 kgm/s.</span>
Answer:
Q1 = 54.25 ; Q3 = 82.75 ; IQR = 28.5 ; Outliers = 4, 6, 8
Step-by-step explanation:
Quartiles divide data into 4 equal parts. Q1 has 25% data below it & 75% above it, Q3 has 75% data below it & 25% data above it.
Quartile Calculation for 30 number of observations
- Ascending order : 4, 6, 8, 20, 45, 48, 52, 55, 56, 60, 63, 65, 67, 68, 70, 74, 75, 77, 78, 79, 80, 81, 82, 85, 87, 88, 90, 92, 95, 99
- Q1 = (N + 1) / 4th observation = [ (30 + 1)/4 ] th obs. = (31 /4) th = 7.75th = 7th item + 0.75 (7th - 8th item) = 52 + 0.75 (55-52) = 52 + 0.75(3) = 52 + 2.25 = 54.25
- Q3 = 3 [(N+1) / 4] th observation = 7.75 x 3 = 23.25th item = 23rd item + 0.25 (24th - 23rd item) = 82 + 0.25 (85-82) = 82 + 0.25 (3) = 82 + 0.75 = 82.75
- Interquartile range (IQR) = Q3 - Q1 = 82.75 - 54.25 = 28.5
Outliers are the observations less than Q1 - 1.5 (IQR) , more than Q3 + 1.5 (IQR)
- Q1 - 1.5 (IQR) = 54.25 - 1.5 (28.5) = 54.25 - 42.75 = 11.5 .So, numbers less than 11.5, ie 4, 6, 8 are outliers
- Q3 + 1.5 (IQR) = 82.75 + 1.5 (28.5) = 82.75 + 42.75 = 125.5 .There are no numbers > 125.5
I'm pretty sure y is 25.5, since you multiply 4 by 4.25 to get 17, so 6 x 4.25 is 25.5
Answer:
The number of kids NOT wearing socks in the gym = 20
Step-by-step explanation:
Here, the total number of kids in the gym = 80
Now, 75% of the kids are wearing socks.
Let us assume the number of kids wearing socks = m
⇒ 75 % of 80 = m
Calculating the value of m ,we get:
⇒ 60 kids are wearing socks.
Kids not wearing socks = Total kids in gym - Kids wearing socks
= 80 - 60 = 20
Hence, the number of kids NOT wearing socks in the gym = 60.
