Answer: The value of k is 5 units.
Step-by-step explanation:
Since we have given that
The graph of f(x)=0.5x is replaced by the graph of g(x) = 0.5x-k
If g(x) is obtained by shifting f(x) down by 5 units,
Then the graph of f(x) = 0.5x is replaced by the graph of g(x) = 0.5x-5
Hence, k = 5 units
Therefore, the value of k is 5 units.
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The independent events are illustrations of probability, and the value of P(B) is 0.40
<h3>How to determine the value of P(B)?</h3>
The given parameters are:
P(A) = 0.50
P(A and B) = 0.20
Two events A and B are independent, if
P(A and B) = P(A) * P(B)
So, we have:
0.50 * P(B) = 0.20
Divide both sides by 0.50
P(B) = 0.40
Hence, the value of P(B) is 0.40
Read more about probability at:
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When there's a strong positive, the points are: B. Close together.
<h3>Strong Positive Relationship</h3>
- On a scatter plot, if the data points are close together along the trend line sloping upwards, it means there's a strong positive correlation.
- Strong positive correlation means the two variables change in the same direction.
Therefore, when there's a strong positive, the points are: B. Close together.
Learn more about strong positive relationship on:
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Answer:
Acute angle
Step-by-step explanation: