Answer:
k = 8
Step-by-step explanation:
Given
 =
 =  ( cross- multiply )
 ( cross- multiply )
3k = 24 ( divide both sides by 3 )
k = 8
 
        
             
        
        
        
Answer:
125in³
Step-by-step explanation:
A box that would perfectly fit the bowling ball will be a cube shape.
The box will have the dimensions 5in by 5in by 5in. These dimensions come from the diameter for the ball.
Calculate volume using V = s³, where "s" stands for a side.
V = s³
V = (5in)³
V = 125in³
Mr. Ryan needs a box with the volume 125 cubic inches.
 
        
             
        
        
        
Answer:
1.38
Step-by-step explanation:
2 cups is one pint so if 3/4 is .38 then you would put it together to get 1.38
 
        
             
        
        
        
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!
:)
 
        
             
        
        
        
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