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fenix001 [56]
3 years ago
14

Find the distance between the pair of points (2,6) and (7,-4)​

Mathematics
1 answer:
ICE Princess25 [194]3 years ago
3 0
The distance will be 11.1803.
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What is the product in simplest form x^2+9x+18/x+2 times x^2-3x-10/x^2+2x-24
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\dfrac{x^2+9x+18}{x+2}\cdot\dfrac{x^2-3x-10}{x^2+2x-24}=\dfrac{x^2+6x+3x+18}{x+2}\cdot\dfrac{x^2-5x+2x-10}{x^2+6x-4x-24}\\\\=\dfrac{x(x+6)+3(x+6)}{x+2}\cdot\dfrac{x(x-5)+2(x-5)}{x(x+6)-4(x+6)}

=\dfrac{(x+6)(x+3)}{x+2}\cdot\dfrac{(x-5)(x+2)}{(x+6)(x-4)}=\dfrac{(x+3)(x-5)}{x-4}\\\\=\dfrac{x^2-5x+3x-15}{x-4}=\dfrac{x^2-2x-15}{x-4}
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3 years ago
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Find the area of Region IV for this figure. A) 16 square units B) 64 square units C) 32 square units D) 36 square units
mamaluj [8]
The answer is D 8 x 2
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You sign up for 13 weeks of swim lessons. the total cost is $325. what is the cost per week?
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The answer is 25 dollar per week
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48% of their readers own a particular make of car. A marketing executive wants to test the claim that the percentage is actually
oksian1 [2.3K]

Answer:

There is no sufficient evidence to support the executive claim

Step-by-step explanation:

From the question we are told that

     The  population proportion is  p =  0.48

      The  sample proportion is  \r p  =  0.45

       The sample  size is  n  =  300

       The  level of significance is \alpha  =  0.02

The null hypothesis is  H_o  :  p=  0.48

The  alternative hypothesis is  H_a  :  p \ne  0.48

   Generally the test statistics is mathematically evaluated as

           t =  \frac{\r p  -  p  }{ \sqrt{ \frac{p(1 -  p )}{n} } }

=>        t =  \frac{0.45   -  0.48   }{ \sqrt{ \frac{0.48 (1 -  0.48 )}{300} } }

=>       t =  -1.04

The  p-value is mathematically represented as

     p-value  =  2P(z  >  |-1.04|)

Form the z-table  

                 P(z  >  |-1.04|)  =   0.15

=>   p-value  =  2 * 0.15

=>   p-value  = 0.3

Given that  p-value  >  \alpha  we fail to reject the null hypothesis

   Hence we can conclude that there is no sufficient evidence to support the executive claim

5 0
3 years ago
reduce the following rational expression to lowest terms if possible 12/16 Please answer me fast Will mark as a brainlist
tatyana61 [14]

Answer:

3/4

Step-by-step explanation:

Find the number that can be divided into both numbers.

12÷4 =3 16÷4=3

8 0
3 years ago
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