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Lena [83]
3 years ago
8

The complement of 25% is 52% true or false

Mathematics
2 answers:
ki77a [65]3 years ago
8 0

Answer:

False

Step-by-step explanation:

Complementary Percentages gives 100% after adding, where 100% represents the Grand Total amount.

Let x  be the complement percentage of 25 %,

Thus, by the above statement,

x + 25 % = 100 %

x = 100 % - 25 % = 75 %

So, the complement of 25 % is 75 %,

Hence, this is a false statement that the complement of 25% is 52% .

Anettt [7]3 years ago
3 0
False; it would be 75%.
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Step-by-step explanation:

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a yard width is 2 less than it's length. If the perimeter of the yard is 20 feet determine the length and the width of the yard
Arte-miy333 [17]

Answer:

The length is 6 feet and the width is 4 feet

Step-by-step explanation:

Let x represent the length of the yard

The width can be represented by x - 2, since it is 2 less than the length.

Use the perimeter formula, P = 2l + 2w, where l is the length and w is width

Plug in the expressions and perimeter:

20 = 2x + 2(x - 2)

Solve for x:

20 = 2x + 2x - 4

20 = 4x - 4

24 = 4x

6 = x

So, the length is 6. Plug this into x - 2 to find the width

x - 2

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5 0
3 years ago
It is advertised that the average braking distance for a small car traveling at 65 miles per hour equals 122 feet. A transportat
madreJ [45]

Complete Question

The complete question is shown on the first uploaded image

Answer:

the null hypothesis is  H_o  :  \mu =  122

the alternative hypothesis is H_a  :  \mu \ne  122

The test statistics is  t =  - 1.761

The p-value is  p =  P(Z  <  t ) = 0.039119

so

    p  \ge 0.01

Step-by-step explanation:

From the question we are told that

   The population mean is  \mu  = 122

     The sample size is  n=  38

    The sample mean is  \= x  =  116 \ feet

     The standard deviation is \sigma  =  21

     

Generally the null hypothesis is  H_o  :  \mu =  122

                the alternative hypothesis is H_a  :  \mu \ne  122

Generally the test statistics is mathematically evaluated as

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

substituting values

         t =  \frac { 116 -  122 }{\frac{ 21 }{ \sqrt{ 38} } }

         t =  - 1.761

The p-value is mathematically represented as

      p =  P(Z  <  t )

From the z- table  

     p =  P(Z  <  t ) = 0.039119

So  

     p  \ge 0.01

 

         

     

           

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