The expression m over 5 indicates the miles traveled by the cyclist in a span of 5 minutes. This represents a value corresponding to speed. It describes the magnitude of velocity, reflecting the total distance covered within a specific time frame. As it lacks direction, it is classified as a scalar quantity. The dimensions include distance per time with SI units being meters per second. Alternative measurements can include kilometers per hour and miles per hour. In contrast, the vector equivalent known as velocity incorporates both speed and direction, signified through positive and negative indicators.
Part A: An attached stem and leaf plot is provided. A nonsplit system was applied for the stem and leaf plot to facilitate clearer analysis. Part B: The shape of the stem and leaf plot indicates an average rise in pulse rate of 20 beats across all 19 students post-exercise. There is minimal shape variation between the pre- and post-exercise plots, with only a small decrease of one in the third last row and an increase of one in the second last row of students. The distribution patterns were consistent in both scenarios, with the majority of students in the 60s range before exercise (7 students) and the 80s range after exercise (8 students). Step-by-step explanation: The provided data is as follows: 67, 87, 67, 88, 67, 89, 68, 89, 71, 91, 72, 93, 72, 93, 75, 95, 77, 96, 77, 97, 79, 98, 81, 98, 85, 101, 87, 105, 87, 105, 91, 119, 97, 125, 103, 125, 121, 147.
42. The permutation formula is P(n, r) = n! / (n - r)!. Given n = 7 and r = 2, we have: 7! / (7 - 2)! = 7! / 5!. This simplifies to 7 * 6 (since 5! cancels out), resulting in 42.
The question already provides multiple pieces of information. By utilizing the details given, the answer can be easily arrived at.
Lateral area of the solid = 216 cm^2
Lateral edge of the solid = 9 cm
Let's denote the length of one side of the section as x
Thus,
216 = 4s * 9
216 = 36s
s = 6
From this deduction, it is evident that the length of one side of the section is 6 cm. I trust this answer has been helpful for you.