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ycow [4]
2 years ago
9

Find the range and standard deviation of the set of data. 210, 213, 216, 219, 222, 225, 228

Mathematics
1 answer:
cestrela7 [59]2 years ago
3 0

Answer:

range = 18 and SD = 6

Step-by-step explanation:

range = max - min

= 228 - 210

= 18

FOR STANDARD DEVIATION * USE A SCIENTIFIC CALCULATOR THEY WON'T PENALIZE YOU*

follow these steps:

1. press mode then STAT

2. then press 1-VAR

3. put all the numbers on the table in ascending order

4 after press AC

5. press shift then 1

6. you will see many things but we are only interested in standard deviation, press *Var*

7. then select the standard deviation sign and press the equal sign

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3 years ago
Solve the equation. -9×+1==×+17 O x=-8 O x = -2 O x=2 © ) x=8
finlep [7]
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6 0
1 year ago
Find the solution to the system of equations represented by the matrix shown below. 3 -1 7 53 1 7 1 61 9 1 1 67​
bonufazy [111]

Answer:

  (x, y, z) = (6, 7, 6)

Step-by-step explanation:

Maybe your matrix is ...

  \left[\begin{array}{ccc|c}3& -1& 7& 53\\ 1& 7& 1& 61\\ 9& 1&1&67\end{array}\right]

A calculator can tell you the solution is ...

  (x, y, z) = (6, 7, 6)

_____

For systems of equations in more than 2 variables the third variable can be defined in terms of the other two (as for solution by substitution). This can be substituted into the remaining equations to obtain two equations in two unknowns. That solution can then be used to find the value of the third variable. The attachment shows application of this method.

We used the last equation to define z, then used that definition in the first two equations. The same approach can be used for an algebraic solution.

The solution is (x, y, z) = (6, 7, 6).

5 0
2 years ago
Susan Marciano invested part of her $29,000 bonus in a fund that paid a 10% profit and invested the rest in a stock that suffere
dangina [55]

Answer:The amount invested at 10% is $16000

The amount invested in stock is $13000

Step-by-step explanation:

Let x represent the amount of money that Susan invested in the fund that paid a 10% profit.

Let y represent the amount of money that Susan invested in the stock that that suffered a 4% loss.

Total amount invested is 29000. This means that

x + y = 29000

The profit made on the fund is

10/100 × x = 0.1x

The loss made on the stock is

4/100 × y = 0.04y

if her overall net profit was $1,080, it means that

0.1x - 0.04y = 1080 - - - - - - - -1

Substituting x = 29000 - y. It becomes

0.1(29000 - y) - 0.04y = 1080

2900 - 0.1y - 0.04y = 1080

- 0.1y - 0.04y = 1080 - 2900

- 0.14y = - 1820

y = - 1820/ - 0.14 = 13000

Substituting y = 13000 into x = 29000 - y, it becomes

x = 29000 - 13000

x = 16000

3 0
3 years ago
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