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Elan Coil [88]
2 years ago
11

10 The collection of distinct vowel letters from the words PNEUMONOULTRAMICROSCOPICSILICOVOLCANOCONIOSIS​

Mathematics
1 answer:
irina1246 [14]2 years ago
4 0

The collection of distinct vowel letters from the words PNEUMONOULTRAMICROSCOPICSILICOVOLCANOCONIOSIS​

The words' vowel letters are [A,,E,I,O,U].

A, E, I, O, U, Y, and, as we'll see, W are vowels, but let's go more precise now. They are symbols (letters) that represent a certain kind of spoken sound called a vowel. According to phoneticians, a vowel is a spoken sound that is made without severely limiting the airflow from the lungs.

The alphabet consists of 26 letters, five of which are vowels (a, e, I, o, and u). The other letters are consonants. A vowel is a sound made by opening the mouth and allowing air to escape without closing it or clearing the throat.

Learn more about Vowels brainly.com/question/11388415

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M<br> (2y+19)<br> (5x+20)<br> n<br> (4x-11)
AleksandrR [38]

Answer:

(5x+20)+(4x-11)=180(linear pair)

9x+9=180

9x=180-9

9x=171

x=171/9

x=19

now,

(2y+19)+(5x+20)=180(co-interior angle)

2y+19+5×19+20=180

2y+134=180

2y=180

y=180/2

y=90

7 0
2 years ago
The total cost of a sweater and a jacket was $71.55. If the price of the sweater was $3.19
Andrej [43]

Answer:

The cost of the sweater is $37.37

Step-by-step explanation:

71.55-3.19=68.36

68.36 ÷ 2=34.18

34.18+3.19=37.37

6 0
3 years ago
A player of a video game is confronted with a series of four opponents and an 80% probability of defeating each opponent. Assume
mixer [17]

Answer:

(a) 0.4096

(b) 0.64

(c) 0.7942

Step-by-step explanation:

The probability that the player wins is,

P(W)=0.80

Then the probability that the player losses is,

P(L)=1-P(W)=1-0.80=0.20

The player is playing the video game with 4 different opponents.

It is provided that when the player is defeated by an opponent the game ends.

All the possible ways the player can win is: {L, WL, WWL, WWWL and WWWW)

(a)

The results from all the 4 opponents are independent, i.e. the result of a game played with one opponent is unaffected by the result of the game played with another opponent.

The probability that the player defeats all four opponents in a game is,

P (Player defeats all 4 opponents) = P(W)\times P(W)\times P(W)\times P(W)=[P(W)]^{4} =(0.80)^{4}=0.4096

Thus, the probability that the player defeats all four opponents in a game is 0.4096.

(b)

The probability that the player defeats at least two opponents in a game is,

P (Player defeats at least 2) = 1 - P (Player losses the 1st game) - P (Player losses the 2nd game) = 1-P(L)-P(WL)

                                    =1-(0.20)-(0.80\times0.20)\\=1-0.20-0.16\\=0.64

Thus, the probability that the player defeats at least two opponents in a game is 0.64.

(c)

Let <em>X</em> = number of times the player defeats all 4 opponents.

The probability that the player defeats all four opponents in a game is,

P(WWWW) = 0.4096.

Then the random variable X\sim Bin(n=3, p=0.4096)

The probability distribution of binomial is:

P(X=x)={n\choose x}p^{x} (1-p)^{n-x}

The probability that the player defeats all the 4 opponents at least once is,

P (<em>X</em> ≥ 1) = 1 - P (<em>X</em> < 1)

             = 1 - P (<em>X</em> = 0)

             =1-[{3\choose 0}(0.4096)^{0} (1-0.4096)^{3-0}]\\=1-[1\times1\times (0.5904)^{3}\\=1-0.2058\\=0.7942

Thus, the probability that the player defeats all the 4 opponents at least once is 0.7942.

3 0
3 years ago
mrs.eng brought 4 packs of glue sticks. Each packs has 5 glue sticks. Her class uses 2 of the glue sticks for a project.
astraxan [27]

Answer:

same as other answer

Step-by-step explanation:

7 0
3 years ago
The sides of a square are all increased by 3 cm. The area of the new square is 64 cm'.
brilliants [131]

Side of the original square is 5 cm.

Step-by-step explanation:

  • Step 1: Let the side of the original square be x. Then side of the new square = x + 3 and Area of new square = 64 cm²

Area of a square = (side)²

⇒ 64 = (x + 3)²

⇒ 64 = x² + 6x + 9

⇒ x² + 6x - 55 = 0

⇒ x² + 11x - 5x - 55 = 0        (Since 6x = 11x - 5x as part of factorizing)

⇒ x(x + 11) - 5(x + 11) = 0

⇒ (x + 11)(x - 5) = 0

⇒ x = -11 and x = 5 (Lengths can't be negative)

Side of the original square is 5 cm.

4 0
3 years ago
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