Answer:
<u>Option 2</u>
Step-by-step explanation:
Evaluating the options :
<u>Option 1</u>
- 2 |x - 5| - 4 < -8
- 2 |x - 5| < -4
- |x - 5| < -2
- Empty set as modulus cannot be less than 0
<u>Option 2</u>
- |2x - 1| - 7 < -6
- |2x - 1| < 1
- x < 1
- There is a solution set other than empty set
<u>Option 2</u> is the right answer.
Answer:

And we can use the following formula:

And replacing the info we got:

Step-by-step explanation:
We define two events for this case A and B. And we know the probability for each individual event given by the problem:


And we want to find the probability that A and B both occurs if A and B are independent events, who menas the following conditions:


And for this special case we want to find this probability:

And we can use the following formula:

And replacing the info we got:

Answer: 
Step-by-step explanation:
To solve this problem you must apply the proccedure shown below:
- By definition, the perimeter of the figure is the sum of the lenght of each side. Then, you must make the addition as following:

Where
is the perimeter of the figure.
- Add the like terms, then, you obtain the following expression in simplest form:

Answer:
19
Step-by-step explanation: