Answer:
The <em>p</em>-value is 0.809.
Step-by-step explanation:
In this case we need to perform a significance test for the standard deviation.
The hypothesis is defined as follows:
<em>H</em>₀: <em>σ</em>₀ = 4 vs. <em>Hₐ</em>: <em>σ</em>₀ ≤ 4
The information provided is:
<em>n</em> = 9
<em>s</em> = 3
Compute the Chi-square test statistic as follows:
The test statistic value is 4.5.
The degrees of freedom is:
df = n - 1
= 9 - 1
= 8
Compute the <em>p</em>-value as follows:
*Use a Chi-square table.
Thus, the <em>p</em>-value is 0.809.
33% of
4.3939 is 1.45
Convert your percentage into a decimal:
Divide both of your decimals:
Answer:
4
Explanation:
Since the third term is the sum of the two previous terms
Continuing in like manner
Since
Recall:
The sequence is therefore:
8,-5,3,-2,1,-1,0
The sum of the seven numbers is 4.
Answer:
C. Plane
Step-by-step explanation:
One definition of a circle is: "It is the set of all points in a plane that are at a given distance from a fixed point."
The undefined term is the word "plane."
You could define a plane as a flat surface with zero thickness and extends infinitely in all directions, but it isn't in the definition of a circle.
Euclid defined a plane as "a surface that lies evenly with the lines on it" before he defined a circle, so the meaning was understood.
A, B, and D are wrong. They aren't mentioned in the definition.
Since all the sides add up to 10x+2, that means that 10x-2-<side1>-<side2>=<side3>. Plugging it in, we have 10x-2-5x-(2x+9)=side3, and 5x-2-(2x+9)=side3, then expanding it to 5x-2-2x-9=3x-11=side3
