The confidence interval at 95% level is
7106.87 < μ< 14255.27
<h3>What is meant be mean and standard deviation?</h3>
The ratio of sum of observations to the total number of observation is known as mean. It is one of the central tendency in the statistics. It gives an idea about the central value present in the data. The most sensitive measure of central tendency is mean. It is very easy to calculate. Mean playa a crucial role in daily life. The two types of means are Arithmetic mean and Geometric mean.
Standard deviation is a measure in the statistics. The amount of variation of a set of values is known as standard deviation. Standard deviation is denoted by σ.
As per given data
90% confident level for amount of electricity used in community of Austin is
X-tx/2(n-1)s/√n < μ < X+ tx/2(n-1)s/√n
Here , n=12 , X=10681.07 , s=6893.87
Margin of error = tx/2(n-1)s/√n
=(1.796×6893.87)/√12
=3574.1996
=3574.19(approximately)
Therefore, 90% CI is,
10681.07-3574.19 ≤ μ<10681.07+3574.19
7106.87 < μ< 14255.27
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Answers:
- Lateral Area = No lateral area (choice D)
- Surface Area = 25.97 square inches (choice E)
- Volume = 12.44 cubic inches (choice A)
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Explanation:
Lateral area only applies to prisms and cylinders. Spheres do not have lateral sides, so there is no lateral area.
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The radius is 1 & 7/16
Let's convert this to decimal form
1 & 7/16 = 1 + (7/16)
1 & 7/16 = 1 + 0.4375
1 & 7/16 = 1.4375
The radius is r = 1.4375 inches.
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SA = Surface area the sphere
SA = 4*pi*r^2
SA = 4*pi*(1.4375)^2
SA = 25.9672267773281
SA = 25.97 square inches (choice E)
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V = Volume of the sphere
V = (4/3)*pi*r^3
V = (4/3)*pi*(1.4375)^3
V = 12.4426294974698
V = 12.44 cubic inches (choice A)
Where are the graphs? a function is when every input is paired with exactly one output(every x value must have exactly 1 y value). the vertical line test helps determine a function, a vertical line can’t intersect a graph at more then one point, if it does intersect in more then 1 point then it’s not a function
Answer:
6.67 miles per hour
Step-by-step explanation: Im 97.99% sure this is right!! :)