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Alenkinab [10]
2 years ago
10

Find the sum of deviation of all observations of the data 5, 8, 10, 15, 22 from their mean.​

Mathematics
1 answer:
ivann1987 [24]2 years ago
3 0

Answer:

the sum of deviation of all observations of the data 5, 8, 10, 15, 22 from their mean. =26

Step-by-step explanation:

Mean=sum of observation/ No. of observation

={5+8+ 10+ 15 + 22}/5

=60/5=12

Sum of deviations

= |5- 12| + |8 – 12| + |10- 12| + |15- 12| + |22-12|

= 7+4+2+ 3+ 10

= 26

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The junior and senior students at Mathville High School are going to present an exciting musical entitled, "Math, What is it Goo
xeze [42]

Some parts are missing in the queston. Find attached the picture with the complete question

Answer:

                   \large\boxed{\large\boxed{161}}

Explanation:

Let's put the information in a table step-by step.

                                                (number of remaining students)

                                                        Juniors          Seniors

Condition

  • Initially                                           J                     S
  • 15 seniors left                                                   S - 15
  • Twice juniors as seniors         2(S - 15)
  • 3/4 of the juniors left              1/4×2(S - 15)
  • 1/3 of seniors left                                             2/3×(S - 15)

At the end, there were 8 more seniors than juniors:

  • 2/3×(S - 15) -  1/4×2(S - 15) = 8

Now you have obtained one equation, which you can solve to find S, the number of senior students, and then the number of junior students.

Solve the equation:

2/3\times (S - 15) -  1/4\times 2(S - 15) = 8

  • Mutilply all by 12:

8(S - 15)-6(S - 15)=96

  • Distribution property:

8S-120-6S-90=96

  • Addtion property of equalities:

8S-6S=96+120+90

  • Add like terms:

2S=306

  • Division property of equalities:

S=306/2=153

That is the number of senior students that came out to the information meeting, but the number of students remaining to perform in the school musical is (from the table above):

2/3\times (S-15)+1/4\times 2(S-15)

Just substitute S with 153 fo find the number of students that remained to perfom in the musical:

          2/3\times (153-15)+1/4\times 2(153-15)\\ \\ 2/3(138)+1/2(138)

          161

5 0
2 years ago
The following system of equations is _____.<br><br> y = -x + <br> 2x + 6y = 4
sergiy2304 [10]
It looks as though you missed a number, but you would factor out an x or a y to get your answer and subtract the whole thing
8 0
3 years ago
Read 2 more answers
A meteorologist is monitoring the atmospheric pressure as his height above sea level varies. The meteorologist determines that t
Burka [1]

Answer:

The function p(n) is represented by p(n) = 103\cdot (0.88)^{n}.

Step-by-step explanation:

Statement indicates that atmospheric pressure decreases exponentially when height above sea level is increased. This fact is represented by the following model:

p(n) = p_{o}\cdot r^{n} (Eq. 1)

Where:

p_{o} - Atmospheric pressure at sea level, measured in kilopascals.

r -Atmospheric pressure decrease rate, dimensionless.

n - Height above sea level, measured in kilometers.

p(n) - Current pressure, measured in kilopascals.

If we know that p_{o} = 103\,kPa and r = 0.88, the function p(n) is represented by:

p(n) = 103\cdot (0.88)^{n}

4 0
3 years ago
−<br> 1<br> 4<br> (<br> −<br> 8<br> x<br> +<br> 12<br> y
lawyer [7]

Answer:

I am assuming the question is

-14(-8×12y)

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Step-by-step explanation:

you have to expand the brackets first.

then you can't do anything after expanding the brackets because they are not like terms

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8 0
2 years ago
Which of the following expressions could give the total amount of a $45 restaurant bill with a 15% tip added on?
Elina [12.6K]

Answer:

Option B: 1.15($45) is the correct answer.

Step-by-step explanation:

Given that:

Total amount of restaurant bill = $45

Tip = 15%

As the bill would be 100% and a 15% tip will be added.

Thus total bill,

Total bill = (100+15)% = 115% of restaurant bill

Total bill = \frac{115}{100}(45)

Total bill = 1.15($45)

Hence,

Option B: 1.15($45) is the correct answer.

8 0
2 years ago
Read 2 more answers
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