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
Answer:
point O, it is located on (-4.5, -7)
Answer:
∴
and
this two sides include 
Step-by-step explanation:
Given;
A triangle 
We can see the figure of the triangle 
Where the
or
made by two sides
and
.
So
and
this two sides include 
Answer:
468.75 square inches
Step-by-step explanation:
Let the length of Julian's tank be x
Let the width of Julian's tank be y
So, Area of Julian's tank=
Since we are given that Julian's tank is approximately 300 square inches
So,
--1
Now we are given that The dimensions of his friend's tank are each exactly
times the dimensions of Julian's tank.
So,length of his friend's tank =
So,width of his friend's tank =
So, Area of his friend's tank=
=
=
(Using 1)
=
Hence the approximate area of the rectangular base of his friend's tank is 468.75 square inches.
So, Option D is correct.