Find the mean ( average):
105 + 104 + 110 + 112 + 114 + 106 + 108 +109 = 868
Mean = 868 / 8 = 108.5
Standard deviation:
108.5 - 105 = 3.5, 3.5^2 = 12.25
108.5 - 104 = 4, 4^2 = 16
110 - 108.5 = 1.5, 1.5^2 = 2.25
112 - 108.5 = 3.5, 3.5^2 = 12.25
114 - 108.5 = 5.5, 5.5^2 = 30.25
108.5 - 106 = 2.5, 2.5^2 = 6.25
108.5 - 108 = 0.5, 0.5^2 = 0.25
109 - 108.5 = 0.5, 0.5^2 = 0.25
12.25 + 16 +2.25 + 12.25 + 30.25 +6.25+0.25+0.25 = 79.75
79.75/8 = 9.96875, SQRT(9.96875) = 3.1573
Standard Deviation = 3.1573
108.8 +/- 1.96 *(3.1573/sqrt(8) = 110.687 and 106.312
110.687 - 108.5 = 2.19
108.5 - 106.312 = 2.19
Margin of error = +/- 2.19
Answer:
x=17
Step-by-step explanation:
Since these angles are supplementary, they will add up to 180 degrees, so you can set up the equation like this:
4x+8+104=180
First, combine like terms:
4x+(8+104)=180
4x+112=180
Next, subtract 112 from both sides:
4x+112(-112)=180(-112)
4x=68
Then, divide each side by 4:
4x(/4)=68(/4)
x=17
17 is your answer.
The ratio of the volume of pipe a to the volume of pipe b is 27:1 .
<h3>What is cylinder?</h3>
A cylinder is a three-dimensional shape consisting of two parallel circular bases, joined by a curved surface. The center of the circular bases overlaps each other to form a right cylinder.
Given that,
Radius of pipe a is 6 cm, and the radius of pipe b is 2 cm.
We know that the volume of cylinder is :- ![\pi r^{2}h](https://tex.z-dn.net/?f=%5Cpi%20r%5E%7B2%7Dh)
where r is radius and h is height of the cylinder.
If two figures are similar then ratio of volume is equal to the cube of any dimension.
The ratio of the volume of Pipe a to the volume of Pipe b :-
![\frac{V(a)}{V(b)}=\frac{6^{3} }{2^{3} }](https://tex.z-dn.net/?f=%5Cfrac%7BV%28a%29%7D%7BV%28b%29%7D%3D%5Cfrac%7B6%5E%7B3%7D%20%7D%7B2%5E%7B3%7D%20%7D)
= ![\frac{27}{1}](https://tex.z-dn.net/?f=%5Cfrac%7B27%7D%7B1%7D)
Hence, The ratio of the volume of pipe a to the volume of pipe b is 27:1 .
To learn more about cylinder from the given link:
brainly.com/question/1392572
#SPJ4
Answer:
Analysis of variance (ANOVA) is the most accurate to estimate the difference
Step-by-step explanation:
Analysis of variance (ANOVA) is the best statistical method that can be used to determine the systematic difference between the mean values of two given set of population in any random experiment
In this case the two set of populations would be the one in which temperature is measured by thermometers on ground and sensor mounted in a space satellite.