Answer:
B
Step-by-step explanation:
Let's eliminate the incorrect answers. C and D are incorrect, since anything to the power of 0 is equal to 1. A is incorrect, because -1 * -1 = 1 since the negatives cancel out. B is correct, because -1*-1*-1*-1*-1 has an odd number of negatives, and thus you are left with -1 instead of 1. Therefore, the answer is B.
Answer:
Probability = 1 / 5
Step-by-step explanation:
Assuming that rates are from 1 to 5 ; with equal probability of being 1, 2 , 3 , 4, 5 each.
So, probability of 3 stars = Outcomes with 3 stars / Total outcomes
= 1 / 5
Answer:
d. 0, 1.369
Step-by-step explanation:
Given:
The equation is: 
Adding
on both sides, we get

Using the identity
, we get

Factoring out
, we get

Therefore, the solution of the given equation is either 0 or 1.369.
The correct choice is d.
Answer:
C. 55s
Step-by-step explanation:
I'll refer to Wyndham as W and Michael as M.
Also, we will be assuming constant speed for both runners.
So, first of all, W ran with a speed of 8m/s;
400m/50s = 8 m/s
M ran with speed 9.2635.... m/s;
400m/43.18s = 9.26.... m/s
The difference is 1.26.... m/s, meaning every second, the distance between M and W would increase by 1.26.....m, starting from 0 at the start line;
9.26... - 8 = 1.26....
So, to find the desired distance, we simply multiply 1.26... by 43.18;
1.26... × 43.18 = 54.560....
(Rounded up to 55s)