You surveyed 350 students, out of which 182 were unsure.
The calculation gives: 182/350 = 0.52, indicating that 52% of the students were uncertain.
Now, apply this percentage to the national survey total:
50,000 x 0.52 = 26,000
The final result is 26,000 students who wouldn't know.
Response:
Resort A experiences a more uniform snowfall, indicating less fluctuation. In contrast, Resort B has a greater median snowfall and a higher interquartile range, making it likely for Kevin to encounter better snowfall conditions there.
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Detailed explanation:
Sample Answer: No, Ingrid's statement is incorrect. In this situation, the starting point is at 170 feet, which denotes the y-intercept. The reduction of 4 feet per year symbolizes the rate of change, or slope. In the slope-intercept equation format, y = mx + b, with 'm' denoting the slope and 'b' signifying the y-intercept, the accurate equation would be y = −4x + 170.
We can formulate the trajectory of the parabola using the vertex form equation: y = a (x – h)^2 + k. The coordinates for the vertex are at h and k, representing the peak height, thus h = 250 and k = 120. Consequently, the equation becomes y = a (x – 250)^2 + 120. At the starting point where x = 0 and y = 0, we find a: 0 = a (0 – 250)^2 + 120, which simplifies to 0 = a (62,500) + 120, leading to a = -0.00192. The complete equation is y = -0.00192 (x – 250)^2 + 120. To determine y when x = 400, we substitute: y = -0.00192 (400 - 250)^2 + 120, yielding y = 76.8 ft. Hence, the ball clears the tree by 76.8 ft – 60 ft = 16.8 ft.
