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Elena L [17]
3 years ago
10

candice is going to replace the top of a table with a new piece of wood. How many square feet of wood would she purchase? 8ft. ,

5 ft , 12 ft

Mathematics
1 answer:
lukranit [14]3 years ago
5 0

Answer:

She  needs to purchase  50  square feet of wood .

Step-by-step explanation:

we can find the number of square feet of wood needed to purchase by finding the area of the table

The area of the table  =  area of the triangle + area of the rectangle

Area of the triangle:

Area of the triangle  = \frac{1}{2}(base \times height)

On substituting the values from the attached figure , we get

Area of the triangle  = \frac{1}{2}(4\times  5)

Area of the triangle  = \frac{20}{2}

Area of the triangle  = 10 square feet

Area of the rectangle:

Area of the rectangle = Length X  Breadth

On substituting the values from the attached figure , we get

Area of the triangle  = 5 \times  8

Area of the triangle  =  40 square feet

Thus the area of the table  = 10 +  40 = 50  square feet

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Based on the sample of 500 people, 42% owned cats. Calculate the test statistic. Round to two decimal places.
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Answer:

z= 3.63

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Step-by-step explanation:

Here p = 42% = 0.42

n= 500

We formulate our null and alternative hypotheses as

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From this we can find q which is equal to 1-p= 1-0.42 = 0.58

Taking p`= 0.5

Now using the z  test

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Putting the values

z= 0.5- 0.42/ √0.42*0.58/500

z= 0.5- 0.42/ 0.0220

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For one tailed test the value of z for  significance level = 0.05 is ± 1.645

Since the calculated value does not fall in the critical region we reject our null hypothesis  and accept the alternative hypothesis that more than 42%  people owned cats.

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