Answer:
2/5
Step-by-step explanation:
Out of the available options on the spinner, only 1 and 5 are factors of 25.
=> Outcomes = 2
=> Total outcomes = 5
P (factor of 25) = 2/5
Hope it helps.
 
        
                    
             
        
        
        
Answer:
x=4
Step-by-step explanation:
tangent lines from the same point to a circle are congruent in length, so we can say that 
5x+8 = 8x-4
5x -5x +8 = 8x - 5x -4
8 = 3x - 4
8+4 = 3x -4 + 4
3x = 12
3x/3 = 12/3
x=4
 
        
             
        
        
        
Answer:
16%
Step-by-step explanation:
20/125 = 0.16 
0.16 x 100 = 16% (multiply by 100 to get a percentage)
 
        
             
        
        
        
Answer:
The probability is 0.683
Step-by-step explanation:
To calculate this, we shall be needing to calculate the z-scores of both temperatures
mathematically;
z-score = (x-mean)/SD
From the question mean = 78 and SD = 5
For 73
z-score = (73-78)/5 = -5/5 = -1
For 83
z-score = (83-78)/5 = 5/5 = 1
So the probability we want to calculate is within the following range of z-scores;
P(-1 <z <1 )
Mathematically, this is same as ;
P(z<1) - P(z<-1) 
Using the normal distribution table;
P(-1<z<1) = 0.68269 which is approximately 0.683