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Wittaler [7]
3 years ago
7

1

Mathematics
1 answer:
KonstantinChe [14]3 years ago
6 0
<h2>                     QUESTION # 1</h2>

Answer:

  • Total distance = 21 units (meters)
  • The average speed = 7 meter per second.

Step-by-step explanation:

To Determine:

If the whole run took the bug 3 seconds, what was its average speed?

Information Fetching and Solution Steps:

  • A beetle was running along a number line.
  • The beetle ran from 4 to 25.

Let suppose each unit on a number line represents 1 meter.

As the beetle ran from 4 to 25, so

the distance covered by beetle is:

                                           25 - 4 = 21 units. i.e. 21 meters

As the average speed can be determined by dividing the total distance by the total time, so

The average speed = total distance / total time

as

Total distance = 21 units (meters)

Total time = 3 seconds

so

The average speed = total distance / total time

                                 = 21/3

                                 = 7 meter per second

Therefore, the average speed = 7 meter per second.

                       

<h2>                       QUESTION # 2</h2>

Answer:

  • Total distance = 54 units (meters)
  • The average speed = 6 meter per second.

Step-by-step explanation:

To Determine:

If the whole run took the bug 9 seconds, what was its average speed?

Information Fetching and Solution Steps:

  • A beetle was running along a number line.
  • The beetle ran from 24 to 78.

Let suppose each unit on a number line represents 1 meter.

As the beetle ran from 24 to 78, so

the distance covered by beetle is:

                                         78 - 24 = 54 units. i.e. 54 meters

As the average speed can be determined by dividing the total distance by the total time, so

The average speed = total distance / total time

as

Total distance = 54 units (meters)

Total time = 9 seconds

so

The average speed = total distance / total time

                                 = 54/9

                                 = 6 meter per second

Therefore, the average speed = 6 meter per second.

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Answer:

0.025

Step-by-step explanation:

Given that the arrival time of a professor to her office is uniformly distributed in the interval between 8 and 9 A.M.

If the professor did not arrive till 8.20 he will arrive between 8.21 and 8.40

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This is conditional probability and hence

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What is the trigonometric ratio for sin Z ?
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