Answer:

Step-by-step explanation:
<em>Step 1: Define significance level</em>
In this hypothesis testing problem, significance levels α is selected:  , the associated z-value from Laplace table:
, the associated z-value from Laplace table: 
Φ( ) = α -
) = α - 
=>  =
 = 
<em>Step 2: Define null hypothesis (</em> <em>) and alternative hypothesis (</em>
<em>) and alternative hypothesis (</em> <em>)</em>
<em>)</em>
 : rate of flu infection
 : rate of flu infection  = 8.3% or 8.3/100 = 0.083
 = 8.3% or 8.3/100 = 0.083
 : rate of flu infection
 : rate of flu infection  < 8.3% or 8.3/100 = 0.083
 < 8.3% or 8.3/100 = 0.083
<em>Step 3: Apply the formula to check test statistic:</em>

with  is actual sampling percent,
 is actual sampling percent,  is rate of flu infection of
 is rate of flu infection of  ,
,  is number of samples.
 is number of samples.
The null hypothesis will be rejected if 
<em>Step 4: Calculate the value of K and compare with </em>
 
  
We have 
=>This is good evidence to reject null hypothesis.
=> The actual rate is lower. (As  states)
 states)
Hope this helps!
:)
 
        
             
        
        
        
Answer:
cos(49) = x/50
Step-by-step explanation:
(The answer to the equation is 32.8)
 
        
             
        
        
        
Ratios and proportions tie into each other. A ratio in real life would be basically comparing two quantities, as a proportion would be solving for the similar ratio or the equal ratio to another. 
        
             
        
        
        
Answer:
The answer is option 3.
Step-by-step explanation:
First we have to find the area of both rectangle and triangle :
Rectangle,

Let base = 9,
Let height = 3,

Triangle,

Let base = 3,
Let height = 3,

Lastly, in order to find the shaded region you have to substract the area of triangle from the area of rectangle :

 
        
                    
             
        
        
        
As an equation, we have:
69+42=5+(146-x)
You just have to simplify:
111=5+(146-x)
106=146-x
-40=-x
40=x
Your unknown number is 40