Answer:
x = ± 2
Step-by-step explanation:
Given
x² + 5 = 3x² - 3 ( subtract x² + 5 from both sides )
0 = 2x² - 8 ( add 8 to both sides )
8 = 2x² ( divide both sides by 2 )
4 = x² ( take the square root of both sides )
x = ±  = ± 2
 = ± 2
 
        
             
        
        
        
SOLUTION
From the given data the mean is 62 and standard deviation is 4
It is required to find the probability that a data value is between 57 and 62
That is:

The z scores is calculated using:

Using the x values it follows:

Also,

Thus the required probability is:
![P(-1.25The proability is:[tex]P(-1.25This can be expressed as percentage as:[tex]P(-1.25\lt z\lt0.75)=66.8\%](https://tex.z-dn.net/?f=P%28-1.25The%20proability%20is%3A%5Btex%5DP%28-1.25This%20can%20be%20expressed%20as%20percentage%20as%3A%5Btex%5DP%28-1.25%5Clt%20z%5Clt0.75%29%3D66.8%5C%25)
Therefore the correct option is C
 
        
             
        
        
        
All you have to do is combine 3x and 5x to = 8x. You can't combine 8x and 67y because they have different variables. so it's 8x+67y. 
        
                    
             
        
        
        
Answer:
a) P) 0.25 = 1/4  both
b) P) 0.75 = 3/4  one
c) P) 0.25  = 1/4  none
Step-by-step explanation:
4 routes to D + H
6 routes to H + S
= D  H   S
      4  | 6
     - 2 | -3
=    2  |  3  = route 1 = 2/4  and route 2 = 3/6
= 1/2 route 1 and 1/2 route 2
Answer a ) = 1/2 x 1/2 = 0.25 = 1/4  = 0.25 probability
Answer b)  = 1- (1/2 x 1/2) = 1- 0.25 = 3/4 = 0.75 probability
Answer c)  = 1/2 x 1/2 = 0.25 = 1/4 = 0.25 probability