Answer:

Step-by-step explanation:
A 6 sided die has 6 outcomes.
Your sister picks from a 13 - slice plate meaning the fact that there are 13 outcomes. 
There are 4 yellow slices so picking a yellow slice has a  chance
 chance
You need to mutiply both displayed values to solve this problem.

 
        
             
        
        
        
Answer:
a = 13, 
b = 28, 
c = 6, 
d = 22, 
e = 31
Step-by-step explanation:
E = 15 +16 = 31
6 males like cats ( the middle section) so C = 6
d = 6 +16 = 22
a = 19-6 = 13
b = 50-22 = 28
so in order: a = 13, b = 28, c = 6, d = 22, e = 31
 
        
             
        
        
        
Answer:
 
 
Step-by-step explanation:
Previous concepts
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  
Solution to the problem
Let X the random variable that represent the scores of a population, and for this case we know the distribution for X is given by:
 
  
Where  and
 and  
We are interested on this probability
 
And the best way to solve this problem is using the normal standard distribution and the z score given by:
 
If we apply this formula to our probability we got this:
 
And we can find this probability using the normal standard table or excel and we got:
 
 
        
             
        
        
        
Answer:
x=14/5
Step-by-step explanation:
Group like terms
2x+8x+7=35
Add similar elements: 2x+8x=10x
10x+7=35
Subtract 7 from both sides:
10x+7−7=35−7
Simplify
10x=28
Divide both sides by 10
10x/10 =28/10 
Simplify:
x=14/5