Answer: 27
Step-by-step explanation:  Look below for an attached explanation.
Hope this helps!
 
        
             
        
        
        
MrBillDoesMath!
Answer to #4:  81/256 * s^8 * t^ 12
Comments:
(7x^3) ^ (1/2)   =  7 ^ (1/2)  *  x^(3/2)   where  ^(1/2) means the square root of a quantity. The answer written (7x^3) is NOT correct.
---------------------
(1)             (27s^7t^11)^ (4/3)   
                = 27^(4/3) * (s^7)^(4/3) * (t^11)^ (4/3) 
As 27 = 3^3, 27 ^(4/3) = 3^4 = 81
                 
(2)  (-64st^2)^ (4/3)  =     (-64)^(4/3) * (s^4/3) * t(^8/3)
As 64 = (-4)^3,  (-64)^(4/3) = (-4)^4 = +256                                        
So (1)/(2) =
81 * s^(28/3)* t^(44/3)
-------------------------------     =
256 s^(4/3) * t^((8/3)
81/256 *  s ^ (28/3 - 4/3) * t^(44/3 - 8/3) =
81/256 * s^(24/3) * t (36/3) =
81/256 * s^8        * t^ 12
MrB
 
        
             
        
        
        
Answer:
25 times
Step-by-step explanation:
p(HT) p(hh) p(tt) p(HT)
h-heads
t-tails
p(hh)=(1/4*100)
25
 
        
             
        
        
        
Answer:
Option 3
Step-by-step explanation:
Pythagorean Theorem:

 
        
             
        
        
        
Answer:
b. There is sufficient evidence to indicate that exactly 65% of all e-commerce shoppers fail in their attempts to purchase merchandise on-line because Web sites are too complex.
Step-by-step explanation:
Not significant,accept null hypothesis that population proportion = 0.65
When we accept the null hypothesis that P= 0.65 
Then only option b is correct which states that  there is sufficient evidence to support that population proportion is exactly 0.65 . 
1) We obtain a P - value of 0.0522 which is greater than 0.5 indicating that the null hypothesis is not rejected.
The rejection region for this right-tailed test is z > 1.64
2) Test Statistics
z= p`-p0/ sqrt(p0(1-p0)/n)
The z-statistic is computed as follows:
z= 0.75-0.65/ √(0.65*0.35)60
z= 1.624
3) Decision about the null hypothesis
Since it is observed that z = 1.624 is less than z ∝=1.64, it is then the null hypothesis is not rejected.