Answer:
y = 14x
Step-by-step explanation:
Use the direct variation equation, y = kx
Plug in 7 as y and 0.5 as x, and solve for k:
y = kx
7 = k(0.5)
14 = k
Plug this into the equation:
y = kx
y = 14x
So, the equation of variation is y = 14x
 
        
             
        
        
        
Answer:
-2(x+2)(4x-35)
Step-by-step explanation:
 
        
             
        
        
        
Answer:
0.7486 = 74.86% observations would be less than 5.79
Step-by-step explanation:
I suppose there was a small typing mistake, so i am going to use the distribution as N (5.43,0.54)
Problems of normally distributed samples can be solved using the z-score formula.
In a set with mean  and standard deviation
 and standard deviation  , the zscore of a measure X is given by:
, the zscore 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 pvalue, we get the probability that the value of the measure is greater than X.
The general format of the normal distribution is:
N(mean, standard deviation)
Which means that:

What proportion of observations would be less than 5.79?
This is the pvalue of Z when X = 5.79. So



 has a pvalue of 0.7486
 has a pvalue of 0.7486
0.7486 = 74.86% observations would be less than 5.79
 
        
             
        
        
        
4500 feet
Step-by-step explanation:
We can begin by finding x using the tangent rule;
The tangent of the angle = the length of the opposite side / the length of the adjacent side
Tan 35 = 3500 / x
X = 3500 / tan 35
X  = 3500 / 0.7 
X = 5000 
Now that we have x we can calculate the value of ? using the same tangent rule;
Tan 42 = ? / 5000
? =  tan42 * 5000
? = 0.9 * 5000
? = 4500
Learn More:
For more on trigonometry check out;
brainly.com/question/12710176
brainly.com/question/11275089
#LearnWithBrainly
 
        
                    
             
        
        
        
The most simple form (I'm defining the parabola to be an upwards-opening one) would be 
