1/7(1000) = 1/7(7000/7)
1*7000
7*7
7000
49
1000
7
so 1/7(1000) = 1000/7 or 142 6/7
        
                    
             
        
        
        
Answer:
If Elizabeth randomly chooses her ride in the morning and in the evening, 2/3 is the probability that she'll use a cab exactly one time
 
        
                    
             
        
        
        
Answer:
0.000064 = 0.0064% probability that the box will contain less than the advertised weight of 466 g.
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.
N(489,6)
This means that 
What is the probability that the box will contain less than the advertised weight of 466 g?
This is the p-value of Z when X = 466. So



 has a p-value of 0.000064
 has a p-value of 0.000064
0.000064 = 0.0064% probability that the box will contain less than the advertised weight of 466 g.
 
        
             
        
        
        
Answer:
x = -1
y = 4
Step-by-step explanation:
i believe this shape is a rhombus because the diagonals are perpendicular and bisectors, meaning m∡A = m∡B = m∡C = m∡D
so AC = CB = BC = DA
y + 1 = 2y - 3
1 = y - 3
4 = y
Plugging in 4 for 'y' means all sides are equal to 5
find x:  2x + 7 = 5
2x = -2
x = -1