I and III seem to be correct, II doesn't because, for example, if x = w = z = t = 70 and y = u = 40, then all three pairs of vertical angles in the figure have equal measure and the given condition x + y = u + w stands. But it means y is not equal to w.
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
Read more about standard deviation at:
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What class requires this tho? But its 300-850
Answer:
The dividend is 360, divisor is 6 and quotient is 60.
Step-by-step explanation:
Factors of 3= 3*1
Factors of 18= 3*2*3
Factors of 60= 3*2*2*5
Taking LCM= 3*2*2*2*3*5= 360
60 is a factor of 360
The dividend is 360
If 360 is divided by 6 we get 60 which is a multiple of 3
and 6 is a factor of 18.
Therefore the dividend is 360 divisor is 6 and quotient is 60.
Step-by-step explanation:
other team earned 1/3,
42/1 * 2/3 = 84/3
so 84/3 is 28
then the Falcons = 28
so other team = total score - the Falcons
which is 42 - 28 = 14
