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eduard
3 years ago
6

A spinner is divided into sections of equal size, of which some are red, some are blue, and the remaining are green. The probabi

lity of the arrow landing on a section colored red is 20%. The probability of the arrow landing on a section colored blue is 10%. What is the probability of the arrow landing on a section colored green.
10%
20%
30%
70%
Plz help
Mathematics
2 answers:
elena55 [62]3 years ago
8 0
So, the full percentage would be 100%.
First, add the two percentages of red and green that has been taken up.
10+20=30
So, subtract that 30% from 100%.
100-30=70
So, the probability of the arrow landing on the green section is 70%.
docker41 [41]3 years ago
7 0

Answer:

70%

Step-by-step explanation:

The total probability theorem allows us to calculate the probability of an event from conditioned probabilities. The events have to form a complete system, that is, they contemplate all possibilities (the sum of their probabilities must be 100%).

Be the events,

A = The arrow falls in the color red

B = The arrow falls in the color blue

C = The arrow falls in the color green

The odds given are as follows:

P (A) = 20%

P (B) = 10%

P (C) =?

According to the total probability theorem,

P (A) + P (B) + P (C) = 100%

Isolating P (C), we have

P (C) = 100% - P (A) - P (B)

Substituting the variables for the corresponding data,

P (C) = 100% - 20% - 10%

P (C) = 70%

Hope this helps!

 

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Using vector concepts, it is found that:

The component form is of approximately (-9.58, 7,22). It means that the ship is about 9.58 miles to the west and about 7.22 miles to the north of where the ship left the port.

<h3>How can a vector be represented in component notation?</h3>

Given a magnitude M and angle \theta, then a vector V can be represented as follows in component notation:

V = (M\cos{\theta}, M\sin{\theta})

In this problem, the magnitude and the angle are given, respectively, by:

M = 12, \theta = 143^\circ

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Which means a displacement of 9.58 miles to the west(negative x = west) and 7.22 miles to the north(positive y = north).

The component form is of approximately (-9.58, 7,22). It means that the ship is about 9.58 miles to the west and about 7.22 miles to the north of where the ship left the port.

More can be learned about vectors at brainly.com/question/24606590

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