The function f(x) goes down by two and over by one:
slope = rise/run = -2/1 = -2.
The slope of f(x) is -2, while the slope of g(x) is -6.
Since -2 is a greater number than -6, the answer is:
C) <span>The slope of f(x) is greater than the slope of g(x). </span>
        
                    
             
        
        
        
If two positive angles have a sum of 180 degrees, they are called supplementary angles. 
        
             
        
        
        
In this question the main part is to convert the kilometer to miles and
then writing the answer to the nearest tenth of a mile. the information
given in the question is that the race is for a distance of 5
kilometers.
Now we already know
1 km = 0.6214 mile
Then 
5 km = ( 0.6214 * 5) miles
         = 3.107 miles
         = 3.11 miles
So
the actual distance when converted to miles will be 3.11 miles. I hope
this is the answer you were looking for. This is the simplest way for
doing such problems and in future you can follow this method to find the
answers without the need of any help.
        
                    
             
        
        
        
The answer is 75° because all three angles of a triangle must add to 180°
 
        
             
        
        
        
Answer:
0.8413 = 84.13% probability that a bolt has a length greater than 2.96 cm.
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 of 3 cm and a standard deviation of 0.04 cm.
This means that 
What is the probability that a bolt has a length greater than 2.96 cm?
This is 1 subtracted by the p-value of Z when X = 2.96. So



 has a p-value of 0.1587.
 has a p-value of 0.1587.
1 - 0.1587 = 0.8413
0.8413 = 84.13% probability that a bolt has a length greater than 2.96 cm.