Answer: 12.57
Step-by-step explanation:
 
        
             
        
        
        
Answer:
(b) 
Step-by-step explanation:
Let E: Event of getting a 3 in the spinner.
So, the number of favorable outcomes  =  11
Total number of outcomes = Number of times the outcomes is {1,2,3,4,5,6}
= {13 +10 +11+16+11}  = { 61}
So, the total number of outcomes = 61

So, here 
 
        
             
        
        
        
1.202
3/5 and 1/2 can be 6/10 and 5/10. then 0.1/2 is 0.05. for the other part, just plug 0.72 x 1.6 into a calculator.
        
             
        
        
        
Answer:
The number of bacteria at initial = 187
Step-by-step explanation:
Given that the population of bacteria in a culture grows at a rate proportional to the number of bacteria present at time t.


Integrating both side we get
㏑ N = k t + C ------- (1)
Now given that after 3 hours it is observed that 500 bacteria are present and after 10 hours 5000 bacteria are present.
⇒ ㏑ 500 = 3 k + C -------- (2)
⇒ ㏑ 5000 = 10 k + C ------ (3)
⇒ ㏑ 5000 -  ㏑ 500 = 7 k 
⇒ ㏑ = 7 k
 = 7 k
⇒  ㏑ 10 = 7 k
⇒ k = 0.329 
Put this value of k in equation (2),
⇒ ㏑ 500 = 3 × 0.329 + C
⇒ C = 5.23 
Put this value of C in equation 1 we get,
⇒ ㏑ N = k t + 5.23
Initially when t = 0 , then 
⇒ ㏑ N = 5.23
⇒ N =  187 
Thus the number of bacteria at initial = 187