Answer:
All the conditions for the chi square test of homogeneity are satisfied.
Step-by-step explanation:
The conditions for the chi square test are
1) the sample is a random sample
2) the variable under study is categorical
3) all expected value of the number of sample observations are greater or equal to 5.
A)The observations must be independent
B) for 2 categories the expected values must be at least 5
C) for the 3 categories the expected values must be at least 1 and no more than 20% may be smaller than 5
The observations given are independent that is not equally likely i.e do not have equal chances of occurrences or are not dependent on each other.
4) the overall sample must be resonably large that is greater than 50
Answer:
R= {7, 11, 15}
Step-by-step explanation:
Since we already know what the Domain is for f (2, 4, 6) we can use that to get the range
Since the domain is also x let's replace x for 2
y=2(2)+3= 4+3=7
One of the range is 7
Replace x for 4
y=2(4)+3= 8+3= 11
One of the other range is 11
Replace x for 6
y= 2(6)+3= 12+3= 15
The last range is 15
So the range is R= {7, 11, 15}
Let us find the co ordinates of each vertex of the triangle .
Vertex A ( in firs second quadrant) = ( -5 ,3)
vertex B in third quadrant = ( -5, -5)
vertex C in fourth quadrant = ( 4, -2)
let us use distance formula AB^2 = ( -5 - 3)^2 + (-5 - -5 )^2 = 64 + 0
AB= 8
BC^2 = ( -2 - -5 )^2 + ( 4 - - 5)^2 = 9 + 81 = 90
BC = 9.48
AC^2 = ( -2 -3)^2 +( 4- -5)^2 = 25 + 81 = 106
AC= 10.29
Perimeter = sum of length of AB+ BC+ Ac = 8 + 10.29 + 9.48= 22.77
Hey There!
The answer would be 4, this is the answer because 4*4*4*4=256
Thus,
=256
Thank You!