Answer
63.2 degrees
Step-by-step explanation:
Using law of cosines:  19^2=8^2+14^2-2(8)(14) cos (x)
361=64+196-224 cos(x)
361=260-224cos(x)
101=224cos(x)
divide both sides by 224, which gets you (rounded to 4th decimal place) 0.4509. do inverse cos which gets you 63.2
 
        
             
        
        
        
Answer:
x < -8
Step-by-step explanation:
-x - 10 > 14 + 2x
Subtract 2x from both sides;
-3x - 10 > 14
Add 10 to both sides;
-3x > 24
Divide both sides by -3
The sign switches when divide by a negative number.
x < -8
 
        
             
        
        
        
Answer:
The parameters of this exponential distribution is  =
 =  .
 .
Step-by-step explanation:
We are given that the random variable X is known to be exponentially distributed and let X be the time it takes for a person to choose a birthday gift, where X has an average value of 27 minutes.
<u><em>So, X = time it takes for a person to choose a birthday gift</em></u>
The probability distribution function of exponential distribution is given by;
   where,
      where,  = parameter of distribution.
 = parameter of distribution.
Now, the mean of exponential distribution is =  which is given to us as average value of 27 minutes that means
  which is given to us as average value of 27 minutes that means   .
 .
So, X ~ Exp(  ) .
 ) .
Therefore, the parameter of this exponential distribution is  .
 .
 
        
             
        
        
        
Answer:yes
Step-by-step explanation:
 
        
             
        
        
        
" of " means multiply......and turn ur percent to a decimal
0.92x = 345...divide both sides by 0.92
x = 345 / 0.92
x = 375.......so 92% of 375 is 345