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leva [86]
3 years ago
5

Tasha has 8 more fish than Oscar, who had twice as many fish as Cecilia. If altogether they have 148 fish, how many fish do each

of them have
Mathematics
2 answers:
inn [45]3 years ago
4 0
I think Cecilia has 66 fishes and Tasha has 82 fishes. The way how I figured it out is that first you divide 148 and get 74. Then for Cecilia you subtract 8 from 74 and get 66. For Tasha, you take 74 and add 8 and get 82. If you add both 82 and 66, you will get 148 fishes. I'm not sure, but I think that is the answer. 
yKpoI14uk [10]3 years ago
3 0
Equation: x+2x+(2x+8)=148

Solve for x: 5x+8=148
                   5x=140
                   x=28

Plug back into original equation to find the other two amounts:
28+2(28)+[2(28)+8]=148
Cecilia = 28, Oscar = 56, Tasha = 64

Check: 28+56+64= 148
            148=148
            The solutions work

Cecilia has 28 fish, Oscar has 56 fish, and Tasha has 64 fish 



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The difference between the value of the sample statistic and the value of the corresponding population parameter is called the _
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Since, the sample is a subset of population , so there are chances for unavoidable variation in sample mean from the population mean that varies from sample to sample .

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Answer:

y=-2.95836 x +234.56159

Step-by-step explanation:

We assume that th data is this one:

x: 50, 55, 50, 79, 44, 37, 70, 45, 49

y: 152, 48, 22, 35, 43, 171, 13, 185, 25

a) Compute the equation of the least-squares regression line. (Round your numerical values to five decimal places.)For this case we need to calculate the slope with the following formula:

m=\frac{S_{xy}}{S_{xx}}

Where:

S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i)}{n}

S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}

So we can find the sums like this:

\sum_{i=1}^n x_i =50+ 55+ 50+ 79+ 44+ 37+ 70+ 45+ 49=479

\sum_{i=1}^n y_i =152+ 48+ 22+ 35+ 43+ 171+ 13+ 185+ 25=694

\sum_{i=1}^n x^2_i =50^2 + 55^2 + 50^2 + 79^2 + 44^2 + 37^2 + 70^2 + 45^2 + 49^2=26897

\sum_{i=1}^n y^2_i =152^2 + 48^2 + 22^2 + 35^2 + 43^2 + 171^2 + 13^2 + 185^2 + 25^2=93226

\sum_{i=1}^n x_i y_i =50*152+ 55*48+ 50*22+ 79*35+ 44*43+ 37*171+ 70*13+ 45*185+ 49*25=32784

With these we can find the sums:

S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}=26897-\frac{479^2}{9}=1403.556

S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i)}=32784-\frac{479*694}{9}=-4152.22

And the slope would be:

m=-\frac{-4152.222}{1403.556}=-2.95836

Nowe we can find the means for x and y like this:

\bar x= \frac{\sum x_i}{n}=\frac{479}{9}=53.222

\bar y= \frac{\sum y_i}{n}=\frac{694}{9}=77.111

And we can find the intercept using this:

b=\bar y -m \bar x=77.1111111-(-2.95836*53.22222222)=234.56159

So the line would be given by:

y=-2.95836 x +234.56159

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