Answer:
1. Five classes in the frequency distribution
2.The mid point of the third class is 24.5
3.The total number of frequency is 100
4.The relative frequency of the third class is (20/100=0.2)
5. We use n-1 because we are dealing with a sample data
6. The mean is 24.5
7. The value of the standard deviation is 11
Step-by-step explanation:
See attached picture for the solutions
Answer:
Step-by-step explanation:
Angles on a straight line add up to 180 so 180-135 equals 45. Vertically opposite angles are equal so the second angle inside the triangle equals 100. Henceforth, we can solve this equation:
x +45+100 = 180 (angles in triangle add up to 180)
x+145=180
x=35
Vertically opposite angles are equal so x will become 35.
Hope this helps!
Answer:
14 feet
Step-by-step explanation:
Let the shorter piece have length x.
Since the ratio is 2:3 and the longer piece is 21 feet long, we can write that as 2:3 = x:21.
Writing it as fractions, we get 2/3 = x/21 —(multiply by 21)—> x = 21*2/3 = 7*2 = 14 feet.
Thus, the shorter piece is 14 feet.
I hope this helps! :)
A = 180 - 143 = 37
b = 143
c = a = 37
e = a = 37
f = 90 - 37 = 53
d = 180 - 85 - 37 = 58
g = 48
h = 180 -48 -48 = 84
k = 180 -84 = 96
m = 180 - 58 - 96 = 26
p = 180 - 26 - 85 = 69
r = 180 -69 = 111
s = p = 69