Answer:
Step-by-step explanation:
3
 
        
             
        
        
        
Answer:
apple
Step-by-step explanation:
 
        
             
        
        
        
For this case we have a direct variation of the form:

Where,
- <em>k: proportionality constant
</em>
We must find the value of k.
For this, we use the following data:

Therefore, replacing values we have:

Rewriting:

Clearing the value of k we have:

Therefore, the direct variation equation is given by:

Answer:
The quadratic variation equation for the relatonship is:

 
        
             
        
        
        
Answer:
<em>The dimensions of the tabletop: Length= 67.976... inches and Width= 33.988... inches and the perimeter will be 203.929... inches.</em>
Step-by-step explanation:
Suppose, the width of the rectangular tabletop is  inch.
 inch. 
As the tabletop has a length that is twice it’s width, so the length will be:   inch.
 inch.
The tabletop measures 76 inches on its diagonal. 
<u>Formula for length of diagonal of rectangle</u>:  
So, the equation will be..........

Thus, the width of the tabletop is 33.988... inches and the length will be:  (2×33.988...) = 67.976... inches. 
The perimeter will be:  2(33.988...+ 67.976...) inches = 203.929... inches. 
 
        
             
        
        
        
Answer:
 the probability that a random sample of 17 persons will exceed the weight limit of 3,417 pounds is 0.0166
Step-by-step explanation:
The summary of the given statistical data set are:
Sample Mean = 186
Standard deviation = 29
Maximum capacity 3,417 pounds or 17 persons.
sample size = 17
population mean =3417
The objective is to determine the probability  that a random sample of 17 persons will exceed the weight limit of 3,417 pounds
In order to do that;
Let assume X to be the random variable that follows the normal distribution;
where;
Mean  = 186 × 17 = 3162
 = 186 × 17 = 3162
Standard deviation = 
Standard deviation = 119.57






Therefore; the probability that a random sample of 17 persons will exceed the weight limit of 3,417 pounds is 0.0166