Answer:
b. We are 95% confident that the proportion of coworkers who went on a vacation last year away from home for at least a week is between 50% and 66%.
Step-by-step explanation:
A confidence interval at the level of x% for a proportion being between a and b means that we are x% sure that the true proportion of the population is between a and b.
In this problem, we have that:
95% C.I is (0.5, 0.66)
Interpretation: 95% confident that the true proportion is between 0.5 and 0.66.
The correct answer is:
b. We are 95% confident that the proportion of coworkers who went on a vacation last year away from home for at least a week is between 50% and 66%.
 
        
             
        
        
        
Answer:
0.25 feet per minute
Step-by-step explanation:
Gravel is being dumped from a conveyor belt at a rate of 20 ft3/min. Since we are told that the shape formed is a cone, the rate of change of the volume of the cone.


Since base diameter = Height of the Cone
Radius of the Cone = h/2
Therefore,


Therefore: 
We want to determine how fast is the height of the pile is increasing when the pile is 10 feet high.
 
When the pile is 10 feet high, the height of the pile is increasing at a rate of 0.25 feet per minute
 
        
             
        
        
        
I believe the answer is the second answer
        
                    
             
        
        
        
Answer:
B: 54 square feet
Step-by-step explanation:
There are 3 feet in 1 yard. The scale model is 6 square yards. 
Multiply 6 by 3 to get the amount of square yards. 
There are 18 square yards in the actual playground. 
Since there are 3 feet in a yard, multiply 18 by 3. 
This gives you your answer:
54 square feet
 
        
                    
             
        
        
        
Remark
The proof is only true if m and n are equal. Make it more general.
m = 2k
n = 2v
m + n = 2k + 2v = 2(k + v). 
k and v can be equal but many times they are not. From that simple equation you cannot do anything for sure but divide by 2.
There are 4 combinations
m is divisible by 4 and n is not. The result will not be divisible by 4.
m is not divisible by 4 but n is. The result will not be divisible by 4.
But are divisible by 4 then the sum will be as well. Here's the really odd result
If both are even and not divisible by 4 then their sum is divisible by 4