Answer: There are 495 possible different sets of answers the could contain exactly 8 correct answers of false.
Basically, we are looking for the number of different ways of selecting 8 objects out of a set of 12 objects. Our objects are answers of false and the set is the test.
This is a combination problem. The formula would be:
12! / (8! x 4!) = 495
Answer:
CAB = 30.71 BCA = 90 ABC = 59.29
Step-by-step explanation:
BCA = 90
9x + 6 + 5x = 90
14 x = 90-6 = 84
x = 43/7
(43/7 ) * 5 = 30.71
90 - 30.71 = 59.29
4.133 kilometers
2.063 + 2.07 = 4.133
Answer:
-864
Step-by-step explanation:
The determinant of a matrix product is the product of the determinants. The determinant of a transpose is the same as the determinant of the original. Hence ...

The multiplication of an n×n matrix by a scalar 'a' multiplies its determinant by a^n, so the desired determinant is ...

0.4(420) = 4(420)/10
(0.4 is essentially 4/10)
1680/10 = 168
There are 168 sixth graders