Answer:
32 days is my final answer
Step-by-step explanation:
 
        
             
        
        
        
So we are given the mean and the s.d.. The mean is 100 and the sd is 15 and we are trying the select a random person who has an I.Q. of over 126. So our first step is to use our z-score equation:
z = x - mean/s.d.
where x is our I.Q. we are looking for
So we plug in our numbers and we get:
126-100/15 = 1.73333
Next we look at our z-score table for our P-value and I got 0.9582
Since we are looking for a person who has an I.Q. higher than 126, we do 1 - P. So we get
1 - 0.9582 = 0.0418
Since they are asking for the probability, we multiply our P-value by 100, and we get 
0.0418 * 100 = 4.18%
And our answer is
4.18% that a randomly selected person has an I.Q. above 126
Hopes this helps!
        
             
        
        
        
Answer:
92%
Step-by-step explanation:
because there are 100 squares and 92 are shaded
 
        
             
        
        
        
Answer:
C
Step-by-step explanation:
If we were to draw a horizontal line from the bottom of the ladder to the bottom of the tree and then draw a vertical line from the bottom of the tree to the top of the ladder, we'd get a right triangle with legs as the distance between the bottom of the tree and the bottom of the ladder and the height of the ladder, and the hypotenuse is the length.
Here, we know the hypotenuse is 10 feet and that the bottom of the ladder is 4 feet away from the bottom of the tree, so use the Pythagorean Theorem to find the height:
h =  ≈ 9.2 feet
 ≈ 9.2 feet
The answer is C.
 
        
                    
             
        
        
        
Answer: it will take 576000 gallons to fill the lap pool.
Step-by-step explanation:
The formula for determining the volume of water in the rectangular pool is expressed as 
Volume = length × width × height
The rectangular lap pool measures 80 feet long by 20 feet wide if it needs to be filled to 48. It means that the volume of water that would be pumped inside the pool is 
Volume = 80 × 20 × 48 = 76800 cubic feet
1 cubic foot = 7.5 gallons
76800 cubic feet = 76800 × 7.5 = 576000 gallons