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Gnesinka [82]
4 years ago
11

The Midtown Bakery sells Chinese specialities such as pineapple buns and lotus seed buns. Day-old goods at the bakery are sold a

t a discount of 60%. If the original price of a loaf of sweet bread was $2.98, how much would you save by buying a day-old loaf?
Mathematics
1 answer:
gayaneshka [121]4 years ago
3 0
You would save $1.79
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Charlie is at a small airfield watching for the approach of a small plane with engine trouble. He sees the plane at an angle of
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A randomly selected sample of college basketball players has the following heights in inches. See Attached Excel for Data. Compu
Illusion [34]

Complete Question

The complete question is shown on the first uploaded image

Answer:

The  confidence interval is  64.86

Step-by-step explanation:

From the question we are given the following data

   The following heights are

66, 65, 67, 62, 62, 65, 61, 70, 66, 66, 71, 63, 69, 65, 71, 66, 66, 69, 68, 62, 65, 67, 65, 71, 65, 70, 62, 62, 63, 64, 67, 67      

 The  sample size is n  =32

  The confidence level is k  = 95% = 0.95

The mean is evaluated as

          \= x = 66+ 65+ 67+ 62+ 62+ 65+ 61+ 70+ 66+ 66+ 71+63+ 69+ 65+ 71+ 66+ 66+ 69+ 68+ 62+ 65+ 67,+\\65+ 71+ 65+ 70+ 62+ 62+ 63+ 64+ 67+ 67 / 32

=>   \= x = \frac{2108}{32}

=>     \= x = 65.875

The standard deviation is evaluated as

           \sigma =  \sqrt{ v}

Now  

   v = ( 66-65.875 )^2+(65-65.875)^2+( 67-65.875)^2+ (62-65.875)^2+ (62-65.875)^2+ (65-65.875)^2+( 61-65.875)^2+ (70-65.875)^2+ (66-65.875)^2+ (66-65.875)^2+ (71+63-65.875)^2+ (69-65.875)^2+ (65-65.875)^2+ (71-65.875)^2+( 66-65.875)^2+ (66-65.875)^2+ (69-65.875)^2+ (68-65.875)^2+ (62-65.875)^2+ (65-65.875)^2+ (67-65.875)^2,+\\(65-65.875)^2+ (71-65.875)^2+ (65-65.875)^2+ (70-65.875)^2+( 62-65.875)^2+( 62-65.875)^2+ (63-65.875)^2+ (64-65.875)^2+ (67-65.875)^2+ (67-65.875)^2 / 32

=>v=  8.567329

=>   \sigma  =  \sqrt{8.567329}

=>   \sigma  =  2.927

The level of significance is evaluated as

        \alpha  =  1 - 0.95

        \alpha  =  0.05

The degree of freedom is  evaluated as

    Df =  n- 1 \equiv  Df  =  32 -1 = 31

The critical values for the level of significance is obtained from the z -table as

      t_c = t_{\alpha/2 } , Df =  t _{0.05/2}, 31 =\pm 1.96

The confidence interval is evaluated as

       \mu  = \= x \pm t_c *  \frac{\sigma }{\sqrt{n} }

substituting values

        \mu =65.875 \pm 1.96* \frac{2.927}{\sqrt{32} }

       \mu =65.875 \pm 1.01415

=>    64.86

4 0
3 years ago
Although a football field appears to be flat, some are actually shaped like a parabola so that rain runs off to both sides. The
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Answer:

The ends of the field are at the zeros (x-intercept) of the function.

 

0 = -0.000234(x - 80)2 + 1.5      subtract 1.5 from both sides

-1.5 = -0.000234(x - 80)2           divide both sides by right coefficient

6410.25641 = (x - 80)2              take square root of both sides

80.064 = x - 80                         add 8-0 to both sides

160.064 = x

 

The field is 160.064 feet wide.  

The maximum is at the vertex, y = 1.5 feet

Step-by-step explanation:

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of all the whole numbers that divide evenly into two or more numbers the one with the highest value is called the _____________.
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Greatest common factor (GCF)
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