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k0ka [10]
2 years ago
13

Which expression are differences of squares Select each correct answer

Mathematics
1 answer:
Gennadij [26K]2 years ago
4 0

Answer:

options are 3 and 4

Step-by-step explanation:

The difference of squares is defined as In option 1,

It can be written as

It is the sum of squares, therefore the option 1 is incorrect.

In option 2,

The number 40 is not a complete square of any number, therefore option 2 is incorrect.

In option 3,

It can be rewritten as

It is the difference of squares, therefore option 3 is correct.

In option 4,

It can be rewritten as

It is the difference of squares, therefore option 4 is correct.

have a good Day!

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Answer:

A

The  test statistics is  t  = -1.7

B

The  Null and  Alternative hypothesis are

      H_o  :  \mu = 47.2   and  H_a :  \mu \ne  47.2

Step-by-step explanation:

From the question we are told that

    The population mean is  \mu  =  47.2 miles/gallon(MPG)

    The sample size is  n =  250 \ van

     The  sample mean is  \= x  =  47.0

      The sample  standard deviation is  \sigma  =  1.9

      The level of significance is  \alpha  =  0.02

Given that the value which the manufacturer gave the automobile is  47.2 and  it is believed that this is not correct, then  

The  Null Hypothesis is  

        H_o  :  \mu = 47.2

The alternative Hypothesis  is  

        H_a :  \mu \ne  47.2

The test statistics can be mathematically evaluated as  

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

substituting values

        t  =  \frac{\= 47- 47.2}{\frac{1.9 }{\sqrt{250} } }

       t  = -1.7

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