Answer:

Step-by-step explanation:
We are asked to find x, a missing side in a triangle. 
This is a right triangle because there is a small square in the corner representing a 90 degree or right angle. Therefore, we can use right triangle trigonometry. The three main functions are:
- sinθ= opposite/hypotenuse 
- cosθ= adjacent/hypotenuse 
- tanθ= opposite/adjacent 
Examine the triangle. We will use angle S, measuring 54 degrees, for theta. Side QR, measuring x, is <u>opposite</u> angle S. Side QS, measuring 2.3, is the <u>hypotenuse</u> because it is opposite the right angle. Since we have the opposite and hypotenuse, we will use sine. 

- θ= 54
- opposite= x 
- hypotenuse = 2.3 

We are solving for x, so we must isolate the variable. It is being divided by 2.3 The inverse operation of division is multiplication, so we multiply both sides by 2.3 




Round to the nearest tenth. The 6 in the hundredth place to the right tells us to round the 8 up to a 9. 

x is approximately <u>1.9</u>
 
        
             
        
        
        
Y=3 
Y=1.5x 
If X=2 insert 2 into the equation 
Y=1.5(2) 
Y=3
        
                    
             
        
        
        
If you would like to solve the equation 3 3/4 * a + 3 + 6 = 87, you can do it using the following steps:
3 3/4 * a + 3 + 6 = 87
15/4 * a = 87 - 3 - 6
15/4 * a = 78    /*4/15
a = 78 * 4/15
a = 104/5
a = 20.8
The correct result is 20.8.
        
             
        
        
        
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Answer:
The sample size needed if the margin of error of the confidence interval is to be about 0.04 is 18.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of  , and a confidence level of
, and a confidence level of  , we have the following confidence interval of proportions.
, we have the following confidence interval of proportions.

In which
z is the zscore that has a pvalue of  .
.
The margin of error is:

95% confidence level
So  , z is the value of Z that has a pvalue of
, z is the value of Z that has a pvalue of  , so
, so  .
.
Past studies suggest this proportion will be about 0.15
This means that 
Find the sample size needed if the margin of error of the confidence interval is to be about 0.04
This is n when M = 0.04. So






Rounding up
The sample size needed if the margin of error of the confidence interval is to be about 0.04 is 18.