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den301095 [7]
3 years ago
13

150% of what number is 105

Mathematics
2 answers:
solmaris [256]3 years ago
7 0

Answer:

70

Step-by-step explanation:

To do this, we can set up an equation that models the situation.

1.5x=105

Now we divide both sides by 1.5 to find the original number.

x=70

artcher [175]3 years ago
3 0

Step-by-step explanation:

Hello there!

Divide 105 into 3 parts:

105/3=35

Multiply that by 2 to get 100% of x:

35 x 2 =70

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The house has a form of a rectangle with one side two and a half times as long as the other side. a Construct the expression for
Nookie1986 [14]

Answer: A=2.5x^{2}


Step-by-step explanation:

1. Let's write the following formula for calculate the area of a rectangle:

A=yx

Where y is the lenght (the longer side) and x is the width (the shorter side).

2. You know that the length is 2.5 times as long as the other side, which indicates a multiplication. Then:

y=2.5x

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Step-by-step explanation:

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Semenov [28]

Complete Question

Pennsylvania Refining Company is studying the relationship between the pump price of gasoline and the number of gallons sold. For a sample of 14 stations last Tuesday, the correlation was 0.65.At the 0.01 significance level Can the company conclude that the correlation is positive

Answer:

Yes the company conclude that the correlation is positive

Step-by-step explanation:

From the question we are told that

   The  sample size is  n =  14

    The correlation is  r =  0.65

     

The  null hypothesis is  H_o :  r <  0

The  alternative hypothesis is  H_1 :  r > 0

Generally the standard deviation is mathematically evaluated as

       Sr =  \sqrt{1- r}

       Sr =  \sqrt{1- 0.65}

       Sr = 0.616

The  degree of freedom for the one-tail test is

       df =  n- 2

        df =  14- 2

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The standard error is evaluated as

        SE  =  \frac{0.616}{ \sqrt{12} }

        SE  =0.1779

The test statistics  is evaluated as

      t =  \frac{r }{SE}

       t =  \frac{0.65 }{0.1779}

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The p-value of of  t is obtained from the z table, the value is  

        p-value =  P(t <  3.654) =  0.00012909

Given that p-value  <  \alpha  then we reject the null hypothesis

           Hence the company can conclude that the correlation is positive

     

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