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Lady bird [3.3K]
2 years ago
13

Please i need this asap.

Mathematics
2 answers:
yKpoI14uk [10]2 years ago
4 0

<u>Answer (1):</u>

Coefficient of any term  means the number multiplied in that term including sign.

ab^2 is same as 1ab^2.

Hence required coefficient is 1.



<u>Answer (2):</u>

4(3-7)^2+102


=4(-4)^2+102


=4(16)+102


=64+102


=166


Hence final answer is 166


<u>Answer (3):</u>

\sqrt{\frac{49}{25}}


=\frac{\sqrt{49}}{\sqrt{25}}


=\frac{7}{5}


Hence final answer is \frac{7}{5}


AleksAgata [21]2 years ago
3 0

<u>Answer:</u>

1. Coefficient is 1

2. 166

3. \frac{7}{5} or 1\frac{2}{5}

<u>Step-by-step explanation:</u>

1. Since there is no number mentioned before the term ab^2 therefore its coefficient is 1. (1ab^2)


2. 4(3 – 7)^2 + 102

Using the order of operations, we will start by solving in the brackets first to get:

4(-4)^2+102

4(16)+102

64+102

166


3. \sqrt{\frac{45}{25}  }

SInce both the numerator and the denominator are under the square root so we can write them as:

\frac{\sqrt{49}} \sqrt{25}

\frac{7}{5}

\frac{7}{5} is an improper fraction so we can write it in mixed form as 1\frac{2}{5}

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The area of a rectangle is 105 square units. Its width measures 7 units. Find the length of its diagonal. Round to the nearest t
mezya [45]

Answer:

16.6

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The rectangle has an area of 105. It's width is 7.

1: Find the length

     \frac{area}{width}=length

     \frac{105}{7}= 15

      Length=15

2: Pythagorean theorem

      a^{2} +b^2=c^2

       7^{2}+15^2=c^2

       49+225=c^2

        275=c^2

         \sqrt{275} = \sqrt{c^2\\}

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           Rounded to nearest tenth

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6 0
3 years ago
. Imagine a game of 3 players where exactly one player wins in the end and all players have equal chances of being the winner. T
lbvjy [14]

Answer:

5/9

Step-by-step explanation:

Number of players = 3

number of times game is repeated = 4

P( any person wins a game ) = 1/3

P ( any person does not win a game ) = 1 - 1/3 = 2/3

P ( any person wins no game in 4 attempts ) = ( 2/3 )^4 = 16/81

<em>Note : each player has equal chance of winning </em>

<u>Find the probability that there is at least one person who wins no games </u>

lets represent the probability of each player not wining a game with alphabet A

A1 = player 1 wins no game

A2 = player 2 wins no game

A3 = players 3 wins no game

Applying the inclusion-exclusion formula

<em>P( A1 ∪ A2 U A3 )</em><em> = P(A1 ) + P(A2) + P(A3) - P( A1 ∩ A2 ) - P( A2 ∩ A3 ) - P( A1            ∩ A3 )  + P( A1 ∩ A2 ∩ A3 ) </em>

where

P( A1 ∩ A2 ) = P( A1 wins all games )

P ( A1 wins all games in 4 attempts ) = ( 1/3 )^4 = 1/81

P( A1 ∩ A2 ∩ A3 ) = P ( no players wins any game in 4 attempts ) = 0

Hence

P( A1 ∪ A2 U A3 ) = 16/81 + 16/81 + 16/81 - 1/81 - 1/81 - 1/81 - 0 = 5/9

6 0
2 years ago
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