The range is 39
The interquartile range is 32
Explanation:
The given data is
Let us arrange the data in ascending order.
Thus, we have,
We need to determine the range and interquartile range of the data.
Range:
The range of the data is the difference between the highest and the lowest value in the given data.
Highest value = 96
Lowest value = 57
Range = Highest value - Lowest value
= 96 - 57
= 39
Thus, the range of the data is 39
Interquartile range:
The interquartile range is the difference between the upper quartile and the lower quartile in the given data.
From, the given data, we have, 3 quartiles. They are and
Interquartile range =
=
=
The interquartile range is 32
Answer:
(1, -3)
Step-by-step explanation:
Where those broken lines cut the X the Y axis
You need to calculate the height of the cone which would be OV, not VB
Using Pythagorean theorem:
OV = sqrt(37^2-12^2)
OV = 35
Now you have the height to solve everything.
This is a semi circle so volume and surface area would be 1/2 of a full cone.
A) v = 1/2 x pi x r^2 x h/3
V = 1/2 x pi x 12^2 x 35/3
V = 1/2 x pi x 144 x 35/3
V = 840pi
B) sa =1/2 x pi x r(r + sqrt(h^2+r^2))
Sa = 1/2 x pi x 12(12+ sqrt(35^2+12^2))
Sa= 923.63 round as needed.
C) volume of hemisphere with 4cm diameter:
2/3 x pi x 2^3 = 5.33pi
Divide volume of semi cone by volume of hemisphere:
840pi/5.33pi = 157.5
<span>The perimeter of a rectangle is:
P = 2(l + w)
So we have:
P = 2(l + x)
This is one of our expressions.
It says the length is 3 times the width.
So we have 3 * x or 3x.
We can write:
l = 3x
Now plug this into the formula:
P = 2(l + x)
Plug in '3x' for 'l'</span>
Answer: 10
Step-by-step explanation:
The formula used for standard error is :-
, where is population standard deviation and n is the sample size.
Given: n = 4
Then, the difference would expected between the sample mean and the population mean will be :
Hence, the expected difference between the sample mean and the population mean = 10