answer:The total number of video clips is 15, so the median clip duration will be the eighth clip when ordered by duration. From the stem-and-leaf plot: - The durations in seconds are: 70, 95, 105, 132, 150, 170, 198, 205, 220, 240, 255, 270, 300, 320, 360. The 8th duration in this ordered list is 205 seconds (from entry 3 25). Thus, the median duration of these video clips is boxed{205} seconds.

answer:To find the distance covered by the wheel, we need to calculate the circumference of the wheel and then multiply it by the number of revolutions. The circumference (C) of a circle (or wheel) is given by the formula: [ C = pi times d ] where ( d ) is the diameter of the wheel. Given that the diameter (d) of the wheel is 10 cm, we can calculate the circumference as follows: [ C = pi times 10 text{ cm} ] Now, to find the total distance covered by the wheel after 19.108280254777068 revolutions, we multiply the circumference by the number of revolutions: [ text{Distance} = C times text{Number of Revolutions} ] [ text{Distance} = (pi times 10 text{ cm}) times 19.108280254777068 ] Using the value of ( pi ) as approximately 3.14159, we get: [ text{Distance} = (3.14159 times 10 text{ cm}) times 19.108280254777068 ] [ text{Distance} = (31.4159 text{ cm}) times 19.108280254777068 ] [ text{Distance} = 600.0000000000001 text{ cm} ] So, the distance covered by the wheel is approximately boxed{600} cm.

answer:Let's denote the number of kilograms of grapes Harkamal purchased as ( G ). The cost of the grapes is ( 70 ) per kg, so the total cost for the grapes is ( 70G ). The cost of the mangoes is ( 55 ) per kg, and Harkamal bought ( 9 ) kg of mangoes, so the total cost for the mangoes is ( 55 times 9 ). Harkamal paid a total of ( 1195 ) for both the grapes and the mangoes, so we can write the equation: [ 70G + 55 times 9 = 1195 ] Now, let's solve for ( G ): [ 70G + 495 = 1195 ] Subtract ( 495 ) from both sides of the equation: [ 70G = 1195 - 495 ] [ 70G = 700 ] Now, divide both sides by ( 70 ) to find ( G ): [ G = frac{700}{70} ] [ G = 10 ] Harkamal purchased ( boxed{10} ) kg of grapes.

answer:To find the length of the train, we need to convert the speed from km/hr to m/s and then multiply it by the time it takes to cross the electric pole. First, let's convert the speed from km/hr to m/s: Speed in m/s = Speed in km/hr * (1000 m / 1 km) * (1 hr / 3600 s) Speed in m/s = 144 km/hr * (1000 m / 1 km) * (1 hr / 3600 s) Speed in m/s = 144 * 1000 / 3600 Speed in m/s = 144000 / 3600 Speed in m/s = 40 m/s Now that we have the speed in m/s, we can calculate the length of the train by multiplying the speed by the time it takes to cross the electric pole: Length of the train = Speed in m/s * Time in seconds Length of the train = 40 m/s * 7.999360051195905 s Length of the train = 319.9744020478362 m Therefore, the length of the train is approximately boxed{319.97} meters.