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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The answers are C and E,
According to the interior and exterior angle theorem, this should be correct:
<3+<4+<6=180
<3+<1=180
<4+<6=<1
so they are the interior opposite of <1
Answer:
slope = 0
Step-by-step explanation:
point1 = (0,7)
point 2 =(7,7)
slope = (y2-y1)/(x2-x1) => (7-7)/(7-0)
slope = 0
Answer:
5 feet
Step-by-step explanation:
Using pythagoras' theorem a^2 = b^2 + c^2
13^2 = 12^2 + c^2
c^2 = 25
c = 5 feet
Cost per meter(C) = $60/m
Length of rectangular field(L) = 50m
L = 2W
-> W = L/2
-> W = 50/2
-> Width of rectangular field = 25m
Cost of one field length(l) = L x C
-> l = 50 x 60
-> l = $3000
Two of the lengths of the field = 2 x l
-> 2 x $3000
-> $6000
Cost of one field width(w) = W x C
-> w = 25 x 60
-> w = $1500
Two of the widths of the field = 2 x w
-> 2 x $1500
-> $3000
Cost of fencing entire field = $6000+$3000
Hence, total field cost = $9000
