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charle [14.2K]
3 years ago
13

In a relay race, the probability of the Galaxy team winning is 22%. In another unrelated relay race, the probability of the Kome

ts team winning is 47%. If the possibility of a tie is not an option, the probability of the Komets losing their race and the Galaxy winning theirs is %.
Mathematics
2 answers:
steposvetlana [31]3 years ago
4 0
In probability, an "or" means adding the probabilities, and an "and" means multiplying them.
The probability of Komets losing is 100-47 = 53% = .53. The probability of the Galaxy winning is 22% = .22.
Therefore, the probability of Komet losing AND Galaxy winning is

.53 × .22 = .1166
11.66%
Shalnov [3]3 years ago
3 0

Answer: There is probability of approximately 12% that Komets losing their race and the Galaxy winning their game.

Explanation:

Since we have given that

Probability of the Galaxy team wins = 22%

Probability of the Komets team wins = 47%

So, Probability of the Komets losing their race is given by

100-47=53\%

We need to find the probability of the Komets losing their and the Galaxy winning their game .

Let Event K : Komets losing their game

Event G : Galaxy winning their game

Since these are two independent events,

So,

P(K\cap G)=P(K).P(G)\\\\P(K\cap G)=0.22\times 0.53\\\\P(K\cap G)=0.1166=0.12=12\%

So, there is probability of 12% that Komets losing their race and the Galaxy winning their game.


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15 similar blouses and 2 similar skirts cost $505. 5 such blouses and 2 such
Luden [163]

Answer:

Cost of five blouses = $145

Step-by-step explanation:

Let

x = cost of blouse

y = cost of skirt

15x + 2y = 505 (1)

5x + 2y = 215 (2)

Subtract (2) from (1) to eliminate y

15x - 5x = 505 - 215

10x = 290

x = 290/10

x = 29

Substitute x = 29 into (2)

5x + 2y = 215 (2)

5(29) + 2y = 215

145 + 2y = 215

2y = 215 - 145

2y = 70

y = 70/2

y = 35

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y = cost of skirt = $35

How much do 5 such blouses cost?

cost of a blouse = $29

Cost of five blouses = $29 × 5

= $145

Cost of five blouses = $145

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In this line of circles, the ratio of red circles to blue circles is 1:3 How many more circles would need to be added to make th
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Answer:

The number of red circles to be added would be equal to 8 times the original amount of red circles

Step-by-step explanation:

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How many more circles would need to be added to make the ratio of red to blue 3:1

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