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:
7325.34
Step-by-step explanation:
Given rational expression is
Now we need to find the restricted values if any for this rational expression.
Restricted values means the possible values of the used variable (x) that will make denominator 0 as division by 0 is not defined.
So to find the restricted values, we just set denominator equal to 0 and solve for x
2x=0 or 4x+1=0
x=0 or 4x=-1
x=0 or x=-1/4
Hence final answer is x=0, -1/4
False...it does not include 3....it includes only numbers less then 3.
For it to include 3, u would need an equal sign in there..
Y < = 3...(thats less then or equal)...this would include 3
Answer:
The sequence is arithmetic with a common difference of -10
Step-by-step explanation:
From the question, we want to determine if the sequence is arithmetic or geometric
From the question
f(1) = 5
f(2) = -5
f(3) = -15
Mathematically for the common difference;
f(3) - f(2) = f(2) - f(1)
Since;
-15-(-5) = -5-5
-10 = -10
Since the common difference here is same , then the sequence is arithmetic with a common difference of -10
