g People between the ages of 65 and 70 were studied to see if those who exercise more were healthier. One measure of health was
1 answer:
Answer:
If the person selected had high blood pressure, the probability that he or she did not exercise is P=0.643.
Step-by-step explanation:
We have a group of people between agss of 65 and 70.
They are divided in two groups regarding their amount of exercise: "none", "moderate" and "high".
The response variable is blood pressure, that was categorized as "normal"or "high".
Then, we have the frequencies table as:
Amount of exercise None Moderate High
Blood pressure High 54 23 7
Blood pressure Normal 86 76 32
We have to calculate the probability that, given that the person had high blood pressure, he or she did not exercise.
If the person had high blood pressure, it can be of the any of the 3 groups of exercise amount. There are 54 people with high blood pressure that did not exercise, 23 that did moderate amount of exercise, and 7 that did a high amount.
Then, the probability can be calculated dividing the amount of people that had high blood pressure and did not exercise, by all the people that have high blood pressure (regarding the amount of exercise):
If the person selected had high blood pressure, the probability that he or she did not exercise is P=0.643.
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9514 1404 393
Answer:
(a) none of the above
Step-by-step explanation:
The largest exponent in the function shown is 2. That makes it a 2nd-degree function, also called a quadratic function. The graph of such a function is a parabola -- a U-shaped curve.
The coefficient of the highest-degree term is the "leading coefficient." In this case, that is the coefficient of the x² term, which is 1. When the leading coefficient of an even-degree function is positive, the U curve has its open end at the top of the graph. We say it "opens upward." (When the leading coefficient is negative, the curve opens downward.)
This means the bottom of the U is the minimum value the function has. For a quadratic in the form ax²+bx+c, the horizontal location of the minimum on the graph is at x=-b/(2a). This extreme point on the curve is called the "vertex."
This function has a=1, b=1, and c=3. The minimum of the function is where ...
x = -b/(2·a) = -1/(2·1) = -1/2
This value is not listed among the answer choices, so the correct choice for this function is ...
none of the above
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The attached graph of the function confirms that the minimum is located at x=-1/2
_____
<em>Additional comment</em>
When you're studying quadratic functions, there are few formulas that you might want to keep handy. The formula for the location of the vertex is one of them.
