Answer:
a) 4,096
b) 0.000244
Step-by-step explanation:
a)
By the Fundamental rule of counting, there are
4*4*4*4*4*4 = 4,096
ways of forming six-digit arrangements where each position has 4 possibilities (1 to 4)
b)
The probability of entering the correct code on the first try, assuming that the owner does not remember the code is
1/4096 = 0.000244
Answer:
25π
Step-by-step explanation:
1) for whole circuit: A=π*r², where r - radius of the given circle;
2) for a quater of the circuit: A=πr²/4;
3) finally, A=π*100/4=25π.
Answer:
B. (x-3)
Step-by-step explanation:
Factorise the equation with suitable values.
In order to get 6 from x²-5x+6,
as an example, use the numbers 3 and 2.
We will get to factorise it to become (x-3)(x-2)
Based on the choice answers given, the answer is B. (x-3)
Answer:
2nd graph (image)
Step-by-step explanation:
The function to graph is:
It follows the general pattern of the function: 
, which is general shape and in 1st and 3rd quadrants. So, we can eliminate 3rd and 4th choices (because of quadrants).
The answer is either 1st, or 2nd graph.
Now, we simply can check a point in both.
lets take x = 4, so the function would be:
f(4) = 4/4 = 1
Hence, point is:
(4,1)
The first graph doesn't go through this point. The second graph does.
hence, we can successfully choose the 2nd graph as our answer.
Answer:
5 1/3 gallons
Step-by-step explanation:
Equation: 8 1/6 - 2 5/6
8-2=6
1/6-5/6= -4/6
6-4/6=5 2/6
Simplify:
5 1/3 gallons
