Answer:
-2
Step-by-step explanation:
x + 3 = 2x + 5
-2 = x
 
        
             
        
        
        
Sample space is the set of possible outcomes of an experiment.
1. <span>Tossing a coin three times
There are possible outcomes.
Tossing the coin for the first time it can be a haid  (H) or a tail (T). So, we can have this outcomes:
HHH
HHT
HTH
THH
TTH
THT
TTT
total: 6 outcomes
2. </span><span>The order that the top 5 students will receive their diplomas.
Here we need to find the number of permutations:  5!=5*4*3*2*1=120
3. </span><span>Tossing a pair of dice
The possible outcomes are the following: (a,b), where a is the first dice and b is the second dice
</span>(1,1)(1,2)(1,3)(1,4)(1,5)(1,6)(2,1)(2,2)(2,3)(2,4)(2,5)(2,6)(3,1)(3,2)(3,3)(3,4)(3,5)(3,6)(4,1)(4,2)(4,3)(4,4)(4,5)(4,6)(5,1)(5,2)(5,3)(5,4)(5,5)(5,6)(6,1)(6,2)(6,3)(6,4)(6,5)(6,6) , total 36 possible outcomes.
        
             
        
        
        
Answer:-(9 - 4i) = 
Step-by-step explanation:
Given the complex number 9 - 4i, the additive inverse is the number that when added to the original number, would equate to zero. Another term this may be known as is the additive identity. The additive inverse is simply:
(a + bi) = -(a + bi)
Given: 9 - 4i
-(9 - 4i) = -9 + 4i
 
        
             
        
        
        
Ratio of boys to girls = 1 : 3
Unknown constant = x
x + 3x = 24
4x = 24
x = 6
No. of girls = 3 x 6 = 18