Answer:
0.3745
Step-by-step explanation:
Data
mean ( ): 80
): 80
standard deviation ( ): 4
): 4
Normal distribution table is in figure attached
.

Z = (85 - 80)/4 = 1.25
Area below curve = 0.3944
Z = (82 - 80)/4 = 0.5
Area below curve = 0.0199
Proportion of exam scores between 82 and 85?
0.3944 - 0.0199 = 0.3745
 
        
                    
             
        
        
        
Answer:
Randomly selecting a six of diamonds - 1 / 52
Randomly selecting a 7, 8, 9 or 10 - 4 / 13
Step-by-step explanation:
There is only 1 six of diamonds in a standard deck of cards. There are 52 cards in a deck, thus the probability of pulling a six of diamonds is 1 in 52. 
There are 4 of each card in a deck. so they are 4 7's, 4 8's. 4 9's and 4 10's. And there are a total of 52 cards in a deck. So the probability of pulling a 7,8,9 or 10 are 4 + 4 + 4 + 4 in 52 
4 + 4 + 4 + 4 = 16 
16 / 52 simplified is 4 / 13 Therefore the is a 4 in 13 chance of pulling a 7 8 9 or 10 
The other ones are correct 
 
        
             
        
        
        
17
This is gonna be confusing but this is how you solve stuff like this 
8 x 8 = 64 15 x 15 = 225
64 + 225 = 289
Find the square root of 289
17