Answer:
Variance = 1,227.27
Standard deviation = 35.03
Step-by-step explanation:
To calculate these, we use the following formulas:
Mean = (sum of the values) / n
Variance = ((Σ(x - mean)^2) / (n - 1)
Standard deviation = Variance^0.5
Where;
n = number of values = 20
x = each value
Therefore, we have:
Sum of the values = 29 + 32 + 36 + 40 + 58 + 67 + 68 + 69 + 76 + 86 + 87 + 95 + 96 + 96 + 99 + 106 + 112 + 127 + 145 + 150 = 1,674
Mean = 1,674 / 20 = 83.70
Variance = ((29-83.70)^2 + (32-83.70)^2 + (36-83.70)^2 + (40-83.70)^2 + (58-83.70)^2 + (67-83.70)^2 + (68-83.70)^2 + (69-83.70)^2 + (76-83.70)^2 + (86-83.70)^2 + (87-83.70)^2 + (95-83.70)^2 + (96-83.70)^2 + (96-83.70)^2 + (99-83.70)^2 + (106-83.70)^2 + (112-83.70)^2 + (127-83.70)^2 + (145-83.70)^2 + (150-83.70)^2) / (20 - 1) = 23,318.20 / 19 = 1,227.27
Standard deviation = 1,227.27^0.5 = 35.03
This question wants to know the domain. For example: (2,4) 2 is the domain and 4 is the range.
Then, they want you to solve by finding X the range when x =-1
x-4/x^2+5x-36
Put -1 everytime you see x
-1-4/-1^2+5(-1)-36
-5/1+(-6)-36
-5/-41 This is the range.
Let the number = 10x+y
x+y = 9
y-x = 1
(x+y)+(y-x) = 9+1
2y = 10
y = 10/2
<h3><u>y = 5</u></h3>
x+y = 9
9-y = x
x = 9 - 5
<h3><u>x = 4</u></h3>
<h2>So, your number is <u>45</u></h2>
... Hope this will help...
36 divided by 90 gives the percent so its 0.4 which is 40%
