15.
1 answer:
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Answer:
d) Conclude that the population mean annual consumption of beer and cider in Milwaukee is greater than 26.8 gallons and hence higher than throughout the United States.
Step-by-step explanation:
We have a hypothesis test about the true mean consumptionof beer and cider for U.S. 21+ years-old consumers with the following null and alternative hypothesis:
The result of the test is to reject the null hypothesis.
This means that there is evidence to support the claim that beer and cider consumption was higher than the national average in Milwaukee in 2017 .
Answer:
28) E
31) D
32) B
26) E
Step-by-step explanation:
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<u>Question 28</u>
Equation of a circle: (x - a)² + (y - b)² = r²
where (a, b) is the center of the circle, and r is the radius
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Given:
- center = (-5, 5)
- radius = 3
⇒ (x + 5)² + (y - 5)² = 9
<u>Question 31</u>
Vertical Parabola Equation:
where
- vertex: (h, k)
- focus: (h, k + p)
- directrix: y = k - p
The vertex of the parabola is at equal distance between focus and the directrix.
If the focus is (9, 27) and the directrix is at y = 11,
then the y-coordinate of the vertex will be: (27 - 11)/2 + 11 = 19
So the vertex is (9, 19)
Also, y-coordinate of focus: 19 + p = 27 ⇒ p = 8
<u>Question 32</u>
Horizontal Parabola Equation:
where
- vertex: (h, k)
- focus: (h + p, k)
- directrix: x = h - p
The vertex of the parabola is at equal distance between focus and the directrix.
If the focus is (-1, 15) and the directrix is at x = -4,
then the x-coordinate of the vertex will be: (-1 + 4)/2 = -2.5
So the vertex is (-2.5, 15)
Also, -2.5 - p = -4 ⇒ p = 1.5
<u>Question 26</u>
Domain: 3 - 6 ≤ x ≤ 3 + 6 ⇒ -3 ≤ x ≤ 9
Range: -4 - 6 ≤ y ≤ -4 + 6 ⇒ -10 ≤ y ≤ 2
Therefore, the only point that satisfies the above domain and range is
(-3, -4)