Write the equations of the line passing through the point (2, 4) and parallel to the line whose equation is y = x
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Answer:
16π square units.
Step-by-step explanation:
Please refer to the graph below.
So, if we draw a representative rectangle, the width of the rectangle will be (x), and the height of the rectangle at each (x) will be given by f(x) - g(x).
By the shell method:
We are integrating from x = 0 to x = 2. p(x) is x and h(x) is f(x) - g(x):
Evaluate. Simplify:
Hence:
Evaluate:
The probability that a bone density test score greater than 0.49 calculated using the Zscore formula is 0.312
Given the Parameters :
- Mean, μ = 0
- Standard deviation, σ = 1
- Score, X = 0.49
<u>Recall, the Z score formula</u> :
- Zscore = (X - mean) / standard deviation
Zscore = (0.49 - 0) / 1 = 0.49
<u>The Probability can be expressed thus</u> :
P(Z > 0.49) = 1 - P(Z < 0.49)
Using a probability calculator or normal distribution table ;
P(Z < 0.49) = 0.68793
P(Z > 0.49) = 1 - 0.68793
P(Z > 0.49) = 0.31207
Therefore, the P(Z > 0.49) will be 0.312
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