Answer:
A) 1/12
Step-by-step explanation:
The sample space of rolling a die is { 1,2,3,4,5,6}
P (getting 3)= The number of "3"'s in the sample space over the number of items in the sample space
P (getting a 3} = 1/6
P (getting even)= The number of evens in the sample space over the number of items in the sample space
P (getting an even} = 3/6= 1/2
Since these are independent events, we multiply the probabilities
P(3, even) = 1/6 * 1/2 = 1/12
Answer:
ab = 1
Step-by-step explanation:
A Reciprocal of a number is a number which when multiplied by the original number yields the multiplicative number, 1.
So the reciprocal of x would be x⁻¹ or ¹⁄ₓ
The information we are given states that the sum of the two non-zero numbers a and b equals the sum of their reciprocals.
So we can write this into an equation and solve,
(See image)
Once we solve, we get the equation (ab-1)(a+b) = 0
We are given info that a+b≠0
So for the above equation to be true, ab-1 has to equal 0
For <em>this</em> to be true, the product ab must equal 1
Answer:

Step-by-step explanation:
using the rule of exponents
⇔ 
f(- 5) =
=
= 
Answer:
x < 3 and x > -1
Step-by-step explanation:
Step 1: Subtract 2 from both sides.
Step 2: Solve absolute value.
- We know x - 1 < 2 and x - 1 > -2.
Condition 1:
Condition 2:
Therefore, the answer is x < 3 and x > -1.