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FinnZ [79.3K]
2 years ago
14

16. You found a shortcut to school that saves 5 minutes off of taking the freeway. About 1 in every 10 trips

Mathematics
1 answer:
kykrilka [37]2 years ago
6 0

Answer:

  it saves 2.5 minutes

Step-by-step explanation:

The expected value of a random variable is the sum of products of possibilities and the probability of each.

Here, you have a probability of 0.9 of saving 5 minutes, and a probability of 0.1 of adding 20 minutes.

__

The expected value of the shortcut is ...

  0.9(-5) +0.1(20) = -4.5 +2.0 = -2.5

The shortcut is expected to save 2.5 minutes on average.

_____

<em>Additional comment</em>

The probability of 0.9 comes from the 9 of 10 trips that result in a time saving.

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grigory [225]

Answer: There are 9 outcomes in this experiment.

Step-by-step explanation:

Rock-Paper- Scissor is a simple game, in which Rock beats scissor, scissor beats paper, paper beats rock. If any two people made the same gesture it will be a tie.

So if two roommates are playing the game , total outcomes in the sample space = 3 x 3   [By fundamental principal of counting]

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Hence, there are 9 outcomes in this experiment.

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3 years ago
Rhea got a new e-scooter. She wanted to show it to her friend on the way to the library.Her friend ronan's house is due north of
Zepler [3.9K]

The distance between rhea and her friend's house could be 8 km and The distance of the library from the rocks house could be 15 km.

<h3>What is Pythagoras' Theorem?</h3>

If ABC is a triangle with AC as the hypotenuse and angle B with 90 degrees then we have:

|AC|^2 = |AB|^2 + |BC|^2    

where |AB| = length of line segment AB. (AB and BC are rest of the two sides of that triangle ABC, AC being the hypotenuse).

rhea got a new e-scooter. She wanted to show it to her friend on the way to the library.

Her friend Ronan's house is due north of her house.

After showing him the new scooter she went to the library which is due west from rocks house.

while returning back she drove 17km diagonally to her house.

By Pythagoras' theorem

|AC|^2 = |AB|^2 + |BC|^2    

Here we can assume that

AB = The distance between rhea and her friend's house.

BC = The distance of the library from rocks house.

The triplet of the 17 would be (8, 15, 17)

So, we can say that the AB could be 8 km and BC could be 15 km or vice versa.

Learn more about Pythagoras' theorem here:

brainly.com/question/12105522

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