Answer:
12:6 or 12 to 6
Step-by-step explanation:
Answer:
Step-by-step explanation:
We are given that G be a finite group with have two elements of order two.
We have to prove that <x,y> is either abelian or isomorphic to a dihedral group.
<x,y> means the group generated by two elements of order 2.
We know that is a cyclic group and number of elements of order 2 is always odd in number and generated by one element .So , given group is not isomorphic to
But we are given that two elements of order 2 in given group
Therefore, group G can be or dihedral group
Because the groups generated by two elements of order 2 are and dihedral group.
We know that is abelian group of order 4 and every element of is of order 2 except identity element and generated by 2 elements of order 2 and dihedral group can be also generated by two elements of order 2
Hence, <x,y> is isomorphic to or .
Answer: 0.2789
Step-by-step explanation:
Given: Mean :
Standard deviation :
The formula to calculate z-score is given by :_
For x= 9.96 mm, we have
For x= 10.01 mm, we have
The P-value =
Hence, the probability that a randomly selected gear has a diameter between 9.96 mm and 10.01 mm =0.2789
Yes, yes I can. But post them please haha
Answer:
35 mi²
Step-by-step explanation:
Let's subdivide the figure, as shown.
The lower part is a rectangle whose area is (5 mi)(18 mi) = 90 mi².
The upper part is a trapezoid whose area is found by averaging the length and multiplying the result by the width (8 mi - 5 mi), or 3 mi.
Area of trapezoid:
12 mi + 18 mi
------------------------ = 15 mi Width of trapezoid = 3 mi
2
Thus, the area of the trapezoid is (3 mi)(15 mi) = 45 mi²
and the total area of the entire figure is
45 mi² + 90 mi² = 135 mi²