Answer:

Step-by-step explanation:
Hello There!
Once again we are going to use trigonometry to solve for x 
Here are the <u>Trigonometric Ratios</u> 
sin = opposite divided by hypotenuse
cos = adjacent divided by hypotenuse 
tan = opposite divided by adjacent
we need to find x and we are given its opposite side length (58) and the adjacent side length (19) 
this corresponds with tangent so once again we will be using tangent to solve for x
Looking at tangent we see that its equal to opposite divided by adjacent so we create an equation 

now we have 

Once again we need to get rid of the tan 
to do so we take the inverse of tan ( tan^-1) and apply it to each side

finally we round to the nearest tenth 
we're left with x = 71.9
 
        
             
        
        
        
Step-by-step explanation:
<h3>t^2(3t-7) -1(3t-7)</h3>
(3t-7) (t^2-1)this is the answer 
 
        
             
        
        
        
2x^2y√6x
the image has the answer in a mor clear form 
 
        
             
        
        
        
Answer:
A i think
Step-by-step explanation:
 
        
             
        
        
        
Answer:
19 beers must be sampled.
Step-by-step explanation:
We have that to find our  level, that is the subtraction of 1 by the confidence interval divided by 2. So:
 level, that is the subtraction of 1 by the confidence interval divided by 2. So:

Now, we have to find z in the Z-table as such z has a p-value of  .
.
That is z with a pvalue of  , so Z = 1.645.
, so Z = 1.645.
Now, find the margin of error M as such

In which  is the standard deviation of the population and n is the size of the sample.
 is the standard deviation of the population and n is the size of the sample.
The population standard deviation for the temperature of beers found in Scooter's Tavern is 0.26 degrees.
This means that 
If we want to be 90% confident that the sample mean beer temperature is within 0.1 degrees of the true mean temperature, how many beers must we sample?
This is n for which M = 0.1. So






Rounding up:
19 beers must be sampled.