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AVprozaik [17]
3 years ago
8

A basketball team has 2 freshmen, 5 sophomores, 3 juniors, and 4 seniors. If a captain is chosen at random, what is the probabil

ity that it’s not a senior?
Mathematics
1 answer:
Colt1911 [192]3 years ago
7 0

Answer:

10/14 or about a 71% chance

Step-by-step explanation:

First you add up all of the players and you get 14. If, at random the coach picks a player, to find the chance that it is not a senior just add up all of the people that arent seniors. You then get a 10 out of 14 (about 71%) chance that the coach will pick somone that is not a senior. I hope this helps :)

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The distance from Parrot Point Airport to the Ivy Cliffs is 178 miles at and angle of 7.1 degrees northeast. There is a wind blo
Hitman42 [59]

Answer:

The speed is 74.0 miles per hour and the angle is 65.1° north-east

Step-by-step explanation:

We resolve the distance moved by the wind and plane into horizontal and vertical components. The direction moved horizontally by the plane is 178sin7.1 = 22 miles.

Since the wind is moving south east, it is at 45 south of east or a bearing of 135.

Since the wind speed is 30 mph and it takes 2 hours to complete the trip, the horizontal distance moved by the wind is vtcos135 = 30 × 2cos45 = 42.43 miles

Also, the vertical displacement moved by the wind is vtsin135 = -30 × 2 sin45 = -42.43 miles

The displacement moved vertically by the plane is 178cos7.1 = 176.64 miles

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Ф = tan⁻¹(total vertical displacement/total horizontal displacement)

= tan⁻¹(134.21/62.43)

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The speed is thus v = distance/ time = 148.02 miles/ 2 hours = 74.01 mph ≅ 74 mph. Since the direction of the displacement is the direction of the velocity, the velocity is thus 74 miles per hour at 65.1° north-east.

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