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nikitadnepr [17]
3 years ago
12

What is the least common denominator of the fraction 3 x over x plus 1 plus the fraction x plus 1 over 2 x plus the fraction 5 o

ver x
Mathematics
1 answer:
Hoochie [10]3 years ago
3 0
3x/(x+1) + (x+1)/(2x) + (5/x)

To find the least common denominator, we multiply the denominators that cannot factor into eachother. x, the denominator in 5/x, fits into 2x, so we do not need to multiply this number.
Therefore, the least common denominator is:
2x(x+1) 

The first term will be multiplied by 2x/2x
The second term will be multiplied by (x+1)/(x+1)
The third term will be multiplied by 2(x+1)
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A certain tennis player makes a successful first serve 70% of the time. Assume that each serve is independent of the others. If
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this is a binomial problem: p = 0.7 and q = 0.3

a) (0.7)^6

b) (6C4)(0.7)^4(0.3)^2

c) Pr ( at least 4) = Pr(4) + Pr(5) + Pr(6) = (6C5)(0.7)^5(0.3) + (0.7)^6

d) Pr (no more than 4) = 1 - Pr(at least 4) = 1 - (answer from c)

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7 square root of 3 end root minus 4 square root of 6 end root plus square root of 48 end root minus square root of 54
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Which balloons traveled 11,595 feet farther than Martin? Draw a strip diagram and write a number sentence to solve the problem.
coldgirl [10]

From the table we notice that:

41507-29912=11595

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6 0
1 year ago
In a Pew Research Center poll of 745 randomly selected adults, 589 said that it is morally wrong to not report all income on tax
Nikolay [14]

Answer:

a

 

   The  null hypothesis is  H_o  :  p =  0.75

  The  alternative  hypothesis is  H_a  :  p \ne  0.75

b

   t = 2.51

c

   p-value  =  0.01207

d

 There no sufficient evidence to conclude that 75% of adults say that it is morally wrong to not report all income on tax returns

Step-by-step explanation:

From the question we are told that

    The  sample  size is  n  =  745

     The  number that said it is morally wrong is  k  =  589

       The  level of significance is  \alpha =  0.01

        The population proportion is p  =  0.75

Generally the sample  proportion is mathematically represented as

        \r p  =  \frac{k}{n}

=>     \r p  =  \frac{589}{745}

=>     \r p  =  0.79

 The  null hypothesis is  H_o  :  p =  0.75

  The  alternative  hypothesis is  H_a  :  p \ne  0.75

The  standard error is mathematically represented as

     SE =  \sqrt{\frac{p(1-p)}{n} }

=>    SE =  \sqrt{\frac{0.75(1-0.75)}{745} }

=>    SE  =0.0159

Generally the test statistics is mathematically represented as

      t =  \frac{\r p - p }{SE}

=>   t =  \frac{0.79 - 0.75 }{0.0159}

=>    t = 2.51

Generally the p-value is  mathematically represented as

        p-value  =  2 * P(Z >  2.51)

From the the z-table  

            P(Z >  2.51) = 0.0060366

=>   p-value  =  2 * 0.0060366

=>   p-value  =  0.01207

From the calculation  p-value >\alpha

    Hence we fail to reject the null hypothesis

Thus there no sufficient evidence to conclude that 75% of adults say that it is morally wrong to not report all income on tax returns

     

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