The standard deviation of the frequency distribution is 5.54
<h3>How to determine standard deviation?</h3>
The table of values is given as:
x f(x)
0-3 13
4-7 13
8-11 10
12-15 11
16-19 0
20-23 3
Rewrite the table by calculating the class midpoints:
x f(x)
1.5 13
5.5 13
9.5 10
13.5 11
17.5 0
21.5 3
Start by calculating the mean using:
This gives
Evaluate
The standard deviation is then calculated as:
So, we have:
Evaluate
Solve
Hence, the standard deviation is 5.54
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Answer:
x=4
Step-by-step explanation:
5(x-10) = 30- 15x
5x - 50= 30 - 15x
+15x +15x
20x - 50 = 30
+50 +50
20x = 80
/20 /20
x = 4
Hope this helps!
Answer:
dy/dx = (cos y + y sin x) / (cos x + x sin y)
Step-by-step explanation:
y cos x = x cos y
y (-sin x) + dy/dx cos x = x (-sin y dy/dx) + cos y
-y sin x + dy/dx cos x = -x sin y dy/dx + cos y
dy/dx (cos x + x sin y) = cos y + y sin x
dy/dx = (cos y + y sin x) / (cos x + x sin y)
∠M=90°-23.1°=66.9° - it's a right answer.
u=d/sin∠D=97.25
m=cos∠D*u=89.52
Answer:
160,000
Step-by-step explanation:
400 * 200 is 80,000 just walking around once, so then multiply it by two.
80,000 * 2 is 160,000
