Answer:
H0 : The variables are independent
H1 : The variables are not independent
Step-by-step explanation:
In a Chisquare test ; The null hypothesis is used to lay claim that the variables are independent, that is no relationship exists between the categorical variables in the population while the alternative hypothesis negates the null thus claiming that the variables aren't independent.
The null hypothesis, H0 : The variables are independent, A = B = C
The alternative hypothesis ; H1 : The variables are not independent, A ≠ B ≠ C
Area of parallelogram = base x height
area of large parallelogram
8 x 12 = 96
area of small parallelogram
4 x 6 = 24
96 - 24 = 72
the area of the shaded region is 72 m^2
Answer:
<u>169 sq. cm.</u>
Step-by-step explanation:
<u>Surface Area</u>
- SA (base) + SA (2 sides) + SA (2 faces)
- 9 × 5 + 2 × 7 × 5 + 1/2 × 2 × 6 × 9
- 45 + 70 + 54
- <u>169 sq. cm.</u>
There are as many palindromic 12-bit binary strings as there are permutations with repetition of 6-bit binary strings, which is equal to

.
There are also only two permutations with repetition of 6-bit binary strings, that when each of them is mirrored and the result is "glued" to the right side of the original string, will give a palindromic string without 10 as a substring.
Those strings are 000000 and 111111.
Therefore there are

palindromic 12-bit binary strings with 10 as substring.
To get more bang for his buck