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IceJOKER [234]
2 years ago
6

⦁ Find the area of the trapezoid. Show your work and explain how you solved using First, Next, and Last. (Please help! and thank

u. )

Mathematics
1 answer:
STALIN [3.7K]2 years ago
5 0

Answer:

  110 in²

Step-by-step explanation:

The area of a trapezoid is given by the formula ...

  A = (1/2)(b1 +b2)h . . . . . . where b1 and b2 are the lengths of the parallel bases, and h is the perpendicular distance between them.

In your problem, b1 and b2 are 13 in and 9 in, and h is 10 in. Putting these values into the formula, we find the area to be ...

  A = (1/2)(13 in + 9 in)(10 in) = 110 in²

The area of the trapezoid is 110 square inches.

_____

First, we identify the appropriate formula to use for the geometry shown in the diagram.

Next, we determine from the diagram the values to use in the formula.

Last, we evaluate the formula and make a summary statement of results.

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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
AveGali [126]

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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Answer:

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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