A dentist selected 16 patients at random from a population of more than 1000 patients and asked them how many times the patient
flosses per week. The dentist made a line plot of the results.
What is the estimated mode of the number of times all patients floss per week?
5
5.5
6
7
What is the estimated mode of the number of times all patients floss per week?
5
5.5
6
7
1 answer:
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Answer:
A) The model exists: f(x) = -3x^2 +4x -4
Step-by-step explanation:
A quadratic model will always exist for 3 given points, provided they are not on a line. In that case, a linear model is appropriate.
Here, the slope between -1 and 0 is positive, and the slope between 0 and 3 is negative. Thus, we know these points are not collinear, and a model must exist.
The model is most easily found using a quadratic regression tool. Such is shown in the attachment. It tells us that ...
f(x) = -3x^2 +4x -4
Answer:
∠B ≈ 56.25°
Step-by-step explanation:
Since the triangle is right use the cosine ratio to solve for B
cosB = =
=
, thus
B = (
) ≈ 56.25°