Answer:
w==77
Step-by-step explanation:
The sum of the 2 opposite interior angles equals the exterior angle.
w-36 +w-20=w+21
combine like terms: 2w-56=w+21
subtract w from both sides: w-56=21
add 56 to both sides: <u>w=77</u>
 
        
             
        
        
        
Standard deviation is calculated by the square root of the variance. Now, how do we solve the variance? The variance is the <span>average of the </span>squared differences from the Mean. Calculating the variance, we can obtain a standard deviation of <span>3.74. Therefore, the correct answer is option A.</span>
        
                    
             
        
        
        
Answer:
The probability that a randomly selected call time will be less than 30 seconds is 0.7443.
Step-by-step explanation:
 We are given that the caller times at a customer service center has an exponential distribution with an average of 22 seconds.
Let X = caller times at a customer service center
The probability distribution (pdf) of the exponential distribution is given by;

Here,  = exponential parameter
 = exponential parameter
Now, the mean of the exponential distribution is given by;
 Mean =   
  
So,   ⇒
  ⇒  
 
SO, X ~ Exp( )
)   
To find the given probability we will use cumulative distribution function (cdf) of the exponential distribution, i.e;
      ; x > 0
  ; x > 0
Now, the probability that a randomly selected call time will be less than 30 seconds is given by = P(X < 30 seconds)
         P(X < 30)  =   
 
                          =  1 - 0.2557 
                          =  0.7443
 
        
             
        
        
        
Answer:
y = 2x + 3
Step-by-step explanation:
In the slope-intercept form of the equation of a line,
y = mx + b,
m = slope, and b = y-intercept.
Let's look at Adriana's equation and understand the parts:
y = 2x + 4
y = mx + b
m = slope = 2; b = y-intercept = 4
Now let's look at the description of Henry's equation.
He has the same slope as Adriana, so for Henry, m = 2 also.
His y-intercept is 1 less than Adriana's, so it is 1 less than 4. Henry's y-intercept is 3.
Now that we know that for Henry, m = 2, and b = 3, we can write his equation.
y = mx + b
y = 2x + 3
Answer: y = 2x + 3
 
        
                    
             
        
        
        
Answer:
5 x 6 = 30 - 4 = 26
so the answer is 6
Step-by-step explanation: