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e-lub [12.9K]
3 years ago
14

Consider the following. (Assume that the coins are distinguishable and that what is observed are the faces or numbers that face

up.) Three coins are tossed; the result is at most one tail. What sets of elements are included in the sample space?
Mathematics
1 answer:
Nataliya [291]3 years ago
7 0

Answer:

a)  P(

b)  n=(HHH, HHT, HTH, HTT, THH, THT, TTH, TTT).

Step-by-step explanation:

From the question we are told that:

3 coin are tossed

Therefore

Sample space n=(HHH, HHT, HTH, HTT, THH, THT, TTH, TTT).

Generally the sets that correspond with the result of at most one tail is therefore given as follows

P(

Therefore

The result is at most one tail when

P(

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3 years ago
Portia bought 12 bushes and 30 flowers for $240 to plant in her yard. Later, she realized she did not have enough plants and bou
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Answer: the cost of each bush is $15

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Step-by-step explanation:

Let x represent the cost of each bush.

Let y represent the cost of each flower.

Portia bought 12 bushes and 30 flowers for $240 to plant in her yard. This is expressed as

12x + 30y = 240- - - - - - - - - - -1

Later, she realized she did not have enough plants and bought 7 more bushes and 10 more flowers for $125. This is expressed as

7x + 10y = 125- - - - - - - - - - -2

Multiplying equation 1 by 7 and equation 2 by 12, it becomes

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Subtracting, it becomes

90y = 180

y = 180/90

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Substituting y = 2 into equation 1, it becomes

12x + 30 × 2 = 240

12x + 60 = 240

12x = 240 - 60 = 180

x = 180/12

x = 15

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4 years ago
What is the length of the arc when the degree measure is 60° and the radius is 7?
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Step-by-step explanation:

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