Answer:
0.3085 = 30.85% probability that a randomly selected pill contains at least 500 mg of minerals
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean  and standard deviation
 and standard deviation  , the z-score of a measure X is given by:
, the z-score of a measure X is given by:

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Mean 490 mg and variance of 400.
This means that 
What is the probability that a randomly selected pill contains at least 500 mg of minerals?
This is 1 subtracted by the p-value of Z when X = 500. So



 has a p-value of 0.6915.
 has a p-value of 0.6915.
1 - 0.6915 = 0.3085
0.3085 = 30.85% probability that a randomly selected pill contains at least 500 mg of minerals
 
        
             
        
        
        
Answer:
13680
Step-by-step explanation:
(thank youuu)
 
        
                    
             
        
        
        
Step-by-step explanation:
angle ABC is a parallel to angle DEF
 
        
                    
             
        
        
        
Answer:<em>(3x-4)(5x+2)  </em>
Step-by-step explanation:
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Answer:
The football field is 360 feet long.
Step-by-step explanation:
Remember, there are 3 feet in 1 yard.
1 yard = 3 feet
To find out how long the football field in feet, we must convert 120 yards into feet.
To convert yards to feed, multiply the number of yards by 3 (3 feet per yard).
120 × 3 = 360
The football field is 360 feet long.
I hope this helps. :)