According to the Central Limit Theorem, the distribution of the sample means is approximately normal, with the mean equal to the population mean (1.4 flaws per square yard) and standard deviation given by:

The z-score for 1.5 flaws per square yard is:

The cumulative probability for a z-score of 1.11 is 0.8665. Therefore the probability that the mean number of flaws exceeds 1.5 per square yard is
1 - 0.8665 = 0.1335.
Given parameters:
y varies directly as w;
This interpreted implies that as y increases, we increases by a certain factor or amount;
So, y ∝ w
y = kw
where k is the constant of proportionality
Now, given that y = 8 and w = 2
Input in the equation to solve for k;
8 = k x 2
Solving k gives, k = 4
Now to the second part,
if v is directly proportional to w;
v = k w
So v = 4w
The equation that relates v to w is v = 4w
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Step-by-step explanation:



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Answer:
- check below for explanation.
explanation:
➢ Given coordinates:
- A( 1, 3 )
- B( 1, 6 )
- C( 4, 6 )
- D( 5, 2 )
➢ after a dilation with a scale factor of 1/2:
- A( 1, 3 ) ÷ 2 ☛ A'(0.5,1.5)
- B(1, 6 ) ÷ 2 ☛ B'(0.5, 3)
- C( 4, 6) ÷ 2 ☛ C'( 2, 3 )
- D( 5, 2) ÷ 2 ☛ D'( 2.5, 1)
➢ Plot the after dilation coordinates on the graph: