Answer:
The correct answer is A. Both samples are dependent samples.
Step-by-step explanation:
Both samples are dependent samples, since to verify the effects of one, it is necessary to compare it with the effects and characteristics of the other.
Thus, in the case, it is intended to check the effects of caffeine on taste by using a regular soda sample first, and then comparing it with a decaffeinated soda sample. Therefore, the effects of one sample will be checked and compared with the other sample, so that there is a dependency relationship between the two, since neither could prove the hypothesis on its own.
The thousands place value is the fourth digit (number) to the left of the decimal point. If the decimal point is not present, it goes to the right of the digit at the end of the number. So 4 over from that is the starting number, 4. So there are 4 thousands in the thousands place
First, notice that, by the Pythagorean Theorem,
meaning that:
Also, since the volume of a cone with radius r and height h is we know that the volume of the cone is:
Therefore, we want to maximize the function subject to the constraint .
To find the critical points, we differentiate:
Therefore, when
meaning that or . Only is in the interval so that’s the only critical point we need to concern ourselves with.
Now we evaluate at the critical point and the endpoints:
Therefore, the volume of the largest cone that can be inscribed in a sphere of radius 3 is
The quadratic equation may be expressed in a form, ax² + bx + c =0. From the given equation, a = 2, b = 1, and c = -3. Substituting these value to the equation of the discriminant (D).
D = b² - 4ac
D = 1² - (4)(2)(-3) = 25
Thus, the discriminant of the equation of 25.