Answer:
Mean : 47.48
Median : 46
Mode : 46
Step-by-step explanation:
1) Mean= Total sum / Total Entries
Sum = 41*3 +42*2+43*4+45*3+46*7+49*2+50*1+51*2+53*1+54*1+55*2+56*2+57*1
Sum = 123+84+172+135+322+98+50+102+53+54+110+112+57
sum = 1472
Total Entries = 3+2+4+3+7+2+1+2+1+1+2+2+1= 31
Mean = 1472/31
= 47.48
ii) Median = 16th Value
As there are total 31 entries , Hence the Median will be the entry coming on 16th place
Median = 46
iii) Mode
The entry which is repeated for the maximum number of times is called the mode. Here 46 is repeated the most. hence 46 is the mode
t_a = 7 s
t_w = 5 s
Given:
- The average speed in air v_a = 16 m/s
- The average speed in water v_w = 3 m/s
- The total distance D = 127 m
- The total time T = 12 s
Find:
How long did the stone fall in air and how long did it fall in the water?
Solution:
- Lets time taken by stone to drop through air as t_a = t_a.
- The time taken in water would be t_w = (12 - t_a)
- The total distance covered can be calculated as:
D = v_a*t_a+ v_w*(12 - t_a)
127 = 16*t_a + 3*(12 - t_a)
Simplify and solve for t:
91 = 16*t_a - 3t_a
13*t_a = 91
y= -3y - 1/3x
-2(x + 3y) = 18 Distribute the -2 to the x + 3y
-2x - 6y = 18
+2x +2x Add the 2x to both sides
-6y = 18 + 2x Divide both sides by -6
Ok the answer of 6 are 12, 18, 24, 30, 36, 42, and 48. The multiples of 9 are 18,27,36,45,54,63,72,81,90,99,108,117,126,135,144,153,162,171,180,189,198,. Hope it helps!
