Answer:
4.8
Step-by-step explanation:
took test
 
        
             
        
        
        
Answer:
y =  x²
 x²
Step-by-step explanation:
Given that y and x² are directly proportional then the equation relating them is
y = kx² ← k is the constant of proportion
When x = 2
y = k × 2² = 4k
When x = 5
y = k × 5² = 25k
Then
25k - 4k = 20 ( difference between values is 20 )
21k = 20 ( divide both sides by 21 )
k = 
y =  x² ← equation of proportion
 x² ← equation of proportion
 
        
             
        
        
        
Answer:
<h2>2</h2>
Step-by-step explanation:
The required number is 2. This divides 6 into 3 and 8 into 4. The simplified fraction is 3/4, which cannot be further simplified.
 
        
             
        
        
        
To perform the correct operation as to subtract numbers, make sure the denominators are the same, and then one can then subtract and remove a smaller number from the larger one.
This same method also holds true for adding fractions together as well.
Another way to subtract fractions is to convert them from fraction form to decimal form and then align the decimal points and subtract the values.
        
             
        
        
        
Given:
μ = 2 min, population mean
σ = 0.5 min, population standard deviation
We want to find P(x>3).
Calculate the z-score
 z= (x-μ)/σ = (3-2)/0.5 = 2
From standard tables, obtain
P(x ≤ 3) = P(z ≤ 2) = 0.9772
Therefore
P(x > 3) = P(z > 2) = 1 - 0.9772 = 0.0228
Answer: 0.02275