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denpristay [2]
3 years ago
5

Just number 2 please i’ve tried many times... i need an equation and the answer :)

Mathematics
1 answer:
Triss [41]3 years ago
7 0

Keller collected $62.48 and Izzy collected $47.83 and J collected $19.98

Step-by-step explanation:

Step 1; Assume that J collected $x, Keller collected $y and Izzy collected $z. All three combined collected $125.95, so

x + y + z = 125.95, take this as equation 1.

From the given data, the following equations can be formed.

y = 42.50 + x or x = y - 42.50 take this as equation 2 and

y = 15 + z, take this as equation 3.

Step 2; Now we must determine x and y in terms of z, so that equation 1 can be solved (the equations can be in terms of any term x, y or z.)

Rearranging equation 2 and 3,

we get 15 + z so  x = y - 42.50, y = x = 15 + z - 42.50, take this as equation 4,

If we substitute equations 4, 2 in 1, we get

(15 + z - 42.50) + (15 + z) + z = 125.95,

3z - 12.5 = 129.95,

3z = 142.45, so z = 47.833.

Substitute z = 47.833 in equation 3.

y = 15 + 47.8333 = 62.4833.

Substitute y = 62.4833 in equation 2,

x = 62.4833 - 42.50 = 19.9833.

Rounding of the values of x,y, and z to nearest hundredth we get

x = $19.98, y = $62.48 and z = $47.48.

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Solve for x. 5 x − 19 ≤ 1 OR − 4 x + 3 < − 6
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5x - 19 \leqslant 1

change

\leqslant  \: to \:  =

given you

5x - 19 = 1

making x the subject by transferring the -19 to the right hand side of the equation

5x = 19 + 1

5x = 20

dividing through by 5

\frac{5x}{5}  =  \frac{20}{5}

x = 4

{{x:x  \leqslant 4}}

also given

- 4x + 3 < -  6

change the operation sign to =

- 4x + 3 =  - 6

- 4x =  - 6 - 3

- 4x =  - 9

dividing through by -4

\frac{ - 4x}{ - 4}  =  \frac{ - 9}{ - 4}

x =  \frac{9}{4}

so the truth set is

{x:x>9/4}.

The < sign changes to > because we divided by a negative number when solving for x

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The data below are the number of absences and the final grades of 9 randomly selected students from a statistics class. Calculat
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Answer:

r=\frac{9(5316)-(70)(740)}{\sqrt{[9(704) -(70)^2][9(62078) -(740)^2]}}=-0.9908  

Step-by-step explanation:

Previous concepts

The correlation coefficient is a "statistical measure that calculates the strength of the relationship between the relative movements of two variables". It's denoted by r and its always between -1 and 1.

Solution to the problem

In order to calculate the correlation coefficient we can begin doing the following table:

n      x     y      xy        x*x       y*y

1      2    100   200      4        10000

2     5    88     440     25      7744

3     8    82     656     64       6724

4     6    84     504     36      7056

5     11    73     803     121      5329

6     4     94     376     16       8836

7     17    57     969     289    3249

8     10   78      780     100     6084

9     7     84     588      49      7056

And in order to calculate the correlation coefficient we can use this formula:

r=\frac{n(\sum xy)-(\sum x)(\sum y)}{\sqrt{[n\sum x^2 -(\sum x)^2][n\sum y^2 -(\sum y)^2]}}  

For our case we have this:

n=9 \sum x = 70, \sum y = 740, \sum xy = 5316, \sum x^2 =704, \sum y^2 =62078  

r=\frac{9(5316)-(70)(740)}{\sqrt{[9(704) -(70)^2][9(62078) -(740)^2]}}=-0.9908  

6 0
3 years ago
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