Answer:
18 Tons
Step-by-step explanation:
36,000 / 2000 = 18
 
        
             
        
        
        
Answer:
the probability that all tomatoes are sold is  0.919 (91.9%)
Step-by-step explanation:
since the random variable X= number of tomatoes that are demanded,  is normally distributed we can make the standard random variable Z such that:
Z=(X-μ)/σ = (83 - 125)/30 = -1.4 
where μ= expected value of X= mean of X (since X is normally distributed)  , σ=standard deviation of X
then all tomatoes are sold if the demand surpasses 83 tomatos , therefore
P(X>83) = P(Z>-1.4) = 1- P(Z≤-1.4) 
from tables of standard normal distribution →P(Z≤-1.4)=0.081 , therefore
P(X>83) = 1- P(Z≤-1.4)  = 1 - 0.081 = 0.919 (91.9%)
thus the probability that all tomatoes are sold is  0.919 (91.9%)
 
        
             
        
        
        
Answer:
i think 6 not sure tho sorry if its worng
 
        
             
        
        
        
Answer:
7^(1-3+1) = 7^-3
Step-by-step explanation:
Here is the rule you should know: when multiplying powers of the same base you add the exponents ans when dividing powers of the same base you subtract the exponents. 
Also, if there is no number at the exponent, it is 1.
 
        
                    
             
        
        
        
Answer:
If  is divisible by 3, the n is also divisible by 3.
 is divisible by 3, the n is also divisible by 3.
Step-by-step explanation:
We will prove this with the help of contrapositive that is we prove that if n is not divisible by 3, then,  is not divisible by 3.
 is not divisible by 3.
Let n not be divisible by 3. Then  can be written in the form of fraction
 can be written in the form of fraction  , where x and y are co-prime to each other or in other words the fraction is in lowest form.
, where x and y are co-prime to each other or in other words the fraction is in lowest form.
Now, squaring

Thus, 


It can be clearly seen that the fraction  is in lowest form.
 is in lowest form.
Hence,  is not divisible by 3.
 is not divisible by 3.
Thus, by contrapositivity if  is divisible by 3, the n is also divisible by 3.
 is divisible by 3, the n is also divisible by 3.