Case 1: Probabilities cannot add up to a number greater (or less) than 1. This would mean there is greater than a 100% chance of something happening which just doesn't make sense. 0.4 + 0.4 + 0.3 = 1,1
Case 2: You cannot have a negative probability. That is claiming that there is a -10% chance of an event happening, there is at the very least a 0%. Despite them "adding" up to 1, the negative probability makes no sense.
Hope I helped!
        
             
        
        
        
<u>Answer:</u>
The correct answer option is c. 
.
<u>Step-by-step explanation:</u>
We are given an expression 
 and we are supposed to simplify it.
We can also write 
 as 
.
We know the power rule (a^m)^n=a^{mn} which means that to raise a power to a power you need to multiply the exponents.
So multiplying the exponents to get:

Therefore, the correct answer option is c. 
.
 
        
             
        
        
        
Answer:
22.75 minutes or 22 minutes 45 seconds 
Step-by-step explanation:
Okay, this is a working together question. Let’s walk through it together! 
Firstly, let’s say the total volume of the swimming pool is x sq.meters
Now, the rate of the smaller hose would be x/65 while that of the larger will be x/35
Now, their combined rate would be x/65 + x/35 = 100x/2275
Now, since the volume is x, the time taken is simply, the volume divided by the joint rate. That is mathematically equal to x divided by 100x/2275
x * 2275/100x = 2275/100 = 22.75 minutes or 22 minutes 45 seconds 
 
        
             
        
        
        
If you factor it, you can get an equation that is equivalent. So take out a 6. that leaves you with 6(8+3x)
        
             
        
        
        
Answer:
Yes
Step-by-step explanation:
If you graph it and you go to the point (2,9) then the line will pass it