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alex41 [277]
3 years ago
10

What is 6a^2b^2/2ab^2 in lowest terms

Mathematics
2 answers:
Alexxx [7]3 years ago
4 0
(-2ab^3)(-3a^2b^5)<span>Simplifying (-2ab3)(-3a2b5) Remove parenthesis around (-2ab3) -2ab3(-3a2b5) Remove parenthesis around (-3a2b5) -2ab3 * -3a2b5 Reorder the terms for easier multiplication: -2 * -3ab3 * a2b5 Multiply -2 * -3 6ab3 * a2b5 Multiply ab3 * a2b5 6a3b<span>8</span></span>
anzhelika [568]3 years ago
4 0
The answer for this question would be: (3a^2b^2  -1) over (b^2)
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A manufacturer of running shoes knows that the average lifetime for a particular model of shoes is 15 months. Someone in the res
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Answer:

The decision rule is  

Fail to reject the null hypothesis

 The conclusion is  

There is no sufficient evidence to show that  the  designer's claim of a better shoe is supported by the trial results.

Step-by-step explanation:

From the question we are told that

  The population mean is  \mu = 15 \ months

   The sample size is  n =  25

   The sample mean is  \= x  = 17 \ months

   The standard deviation is  s = 5.5 \ months

Let assume the level of significance of this test is  \alpha  = 0.05

    The null hypothesis is  H_o :  \mu = 15

     The alternative hypothesis is  H_a : \mu  > 17

Generally the degree of freedom is mathematically represented as  

         df = n -1

=>       df = 25 -1

=>       df = 24

Generally the test statistics is mathematically represented as

        t = \frac{\= x- \mu }{\frac{s}{\sqrt{n} } }

=>   t = \frac{ 17 - 15 }{\frac{5.5}{\sqrt{25} } }

=>   t =  1.8182

Generally from the student t distribution table the probability of obtaining   t =  1.8182 to the right of the curve at a degree of freedom of df = 24  is  

    p-value  = P(t > 0.18182 ) = 0.4286

From the value obtained we see that  p-value > \alpha hence

The decision rule is  

Fail to reject the null hypothesis

 The conclusion is  

There is no sufficient evidence to show that  the  designer's claim of a better shoe is  supported by the trial results.

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2 years ago
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nata0808 [166]
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