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Dima020 [189]
3 years ago
5

A triangle has two side lengths 7 and 9. What value could the length of the third side be? Check all that apply

Mathematics
2 answers:
Licemer1 [7]3 years ago
7 0

Answer:

8,5,10,13

Step-by-step explanation:

Let

x----->  the length of the third side

we know that

The <u>Triangle Inequality Theorem</u> states that the sum of any two sides of a triangle must be greater than the measure of the third side

so

case A)

7+9 >x\\16> x\\x

case B)

7+x >9\\x>9-7\\ x>2\ units

The solution for the length of the third side is the interval------> (2,16)

All real numbers greater than 2 and less than 16

therefore

the solutions are

8,5,10,13

mamaluj [8]3 years ago
3 0
<span>Each side has to be less then the sum of the other two sides.
A, B, C, and E work.

</span>
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Answer:

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Step-by-step explanation:

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What’s the least common multiple of 30 50 and 200
exis [7]

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LCM of 30 and 50 is 150.

Step-by-step explanation:

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A running shoe store mounts a new promotional campaign. Purchasers of new shoes may, if dissatisfied for any reason, return them
Vitek1552 [10]

Answer:

a

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b

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The  standard deviation is  \sigma =  3.43

c

The mean is  E(C) =   E(105 K) =  1386

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Step-by-step explanation:

From the question we are told that

   The  cost to dealer for each refund is  C =  \$105

   The  probability  that a shoe will refunded is  P(x) =  0.11

   The number of shoes purchased is  n  =  120 pairs

Generally the probability distribution of the number of pairs of shoes that will be returned for refunds is

          P(K = k ) = \  ^nC_x * p^k  *  (1-p)^{n-k}

Here  k is the random number of number of pairs of shoes that will be returned for refund, which can be  k = 0,1 ,2,3,4 ..., 120

Generally the mean is mathematically represented as

     E(K) =  np =  120 * 0.11

=>    E(K) =  np =  13.2  

Generally the  standard deviation is mathematically represented as

     \sigma  =  \sqrt{ n*  p  (1-p)}

=>    \sigma  =  \sqrt{ 120* 0.11  (1-0.11)}

=>    \sigma =  3.43

Generally the total refund cost is mathematically represented as

     C =  105 K

Here K denotes the number of shoes returned

Generally the mean of the total refund cost is mathematically represented as

           E(C) =   E(105 K) =  105 E(K)

=>         E(C) =   E(105 K) =  105 * 13.2

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Generally the variance of the total refund cost is mathematically represented as

       Var(K) =  105^2 *  E(K)

=>     Var(K) =  105^2 *  13.2

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Answer:

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Meaning the final formula is

x = 5 + 3(15)
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