When a certain drug is taken orally, the concentration of the drug in the patient's bloodstream after t minutes is given by

By direct comparison and definition of line segment we notice that the point (x, y) = (- 6, 0) lies on the line segment AB as each AP is a multiple of former. (Correct choice: C)

<h3>What point lies on a line segment?</h3>

According to linear algebra, a point lies in a line segment if its vector is a multiple of the vector that generates the line segment itself, that is:

AB = k · AP (1)

The vector that generates the line segment is:

AB = (2, 6) - (- 2, 3)

AB = (4, 3)

And the vectors related to each point are:

Case A

AP = (- 2, 12) - (- 2, 3)

AP = (0, 9)

Case B

AP = (6, 12) - (- 2, 3)

AP = (8, 9)

Case C

AP = (- 6, 0) - (- 2, 3)

AP = (- 4, - 3)

Case D

AP = (- 6, 6) - (- 2, 3)

AP = (- 4, 3)

By direct comparison and definition of line segment we notice that the point (x, y) = (- 6, 0) lies on the line segment AB as each AP is a multiple of former. (Correct choice: C)

To learn more more on line segments: brainly.com/question/25727583

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4 0

1 year ago

The diameter of a spindle in a small motor is supposed to be 4.1 millimeters (mm) with a standard deviation of 0.1 mm. If the sp

adoni [48]

Answer:

The null hypothesis is $H_0: \mu = 4.1$

The alternate hypothesis is $H_a: \mu \neq 4.1$

Step-by-step explanation:

The diameter of a spindle in a small motor is supposed to be 4.1 millimeters

This means that the null hypothesis is that the diameter has the supposed value, that is, $H_0: \mu = 4.1$

If the spindle is either too small or too large, the motor will not work properly. The manufacturer measures the diameter in a sample of 41 spindles to determine whether the mean diameter has moved away from the required measurement.

Tests if it has moved away, that is, if the mean is different from the specified value of 4.1. So the alternate hypothesis is $H_a: \mu \neq 4.1$

5 0

2 years ago