This is a linear equation
y=mx+b
y=50x+400 (when x equals the number of hours played)
1000=50x+400
*first, isolate the variable (x)
-50x=-1000+400
*divide by -50 to get x by itself
x=20+8
The answer is x=28
        
                    
             
        
        
        
Easy the 3 is in the ten thousands place
        
             
        
        
        
In order for Andrea to make profit, the value of the C in the given function must not be 0 or less than zero. So, let's find the value of x when C is zero.
C = 0 = 10x - 50
x = 5
Hence, the number of candles sold represented by x must be more than 5 (< 5). Therefore, the domain is (5,+∞). When the value of x is more than 5, the C or the range would be greater than 0. Thus, the range is (0,+∞).
        
             
        
        
        
Answer:
0
Step-by-step explanation:
20 + 7 + 4 + 1 = 32 there is none left over
 
        
             
        
        
        
Answer:
This probability is the p-value of Z given  , considering X as less than X seconds,
, considering X as less than X seconds,  as the mean and
 as the mean and  as the standard deviation.
 as the standard deviation.
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.
In this question:
Mean  , standard deviation
, standard deviation  .
.
Find the probability that a randomly selected high school student can run the mile in less than X seconds.
This probability is the p-value of Z given  , considering X as less than X seconds,
, considering X as less than X seconds,  as the mean and
 as the mean and  as the standard deviation.
 as the standard deviation.