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Taya2010 [7]
3 years ago
10

Help needed asap pleas3​

Mathematics
1 answer:
Elis [28]3 years ago
5 0
17 is the answer your welcome
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In a data distribution, the first quartile, the median and the means are 30.8, 48.5 and 42.0
kolbaska11 [484]

Answer:

Q_3 = 56.45 --- The third quartile

Var = 370.18 -- Variance

Step-by-step explanation:

Given

Q_1  =  30.8 -- First quartile

Q_2 =  48.5 --- Median

\bar x = 42 --- Mean

Skp = -0.38 --- Coefficient of skewness

Solving (9): The third quartile Q_3

This is calculated from

Skp =  \frac{Q_1   + Q_3  - 2Q_2}{Q_3 - Q_1}

So, we have:

-0.38 =  \frac{30.8 + Q_3- 2*48.5}{Q_3 - 30.8}

Cross Multiply

-0.38 (Q_3 - 30.8)=  30.8 + Q_3- 2*48.5

Open bracket

-0.38Q_3 + 11.704=  30.8 + Q_3- 97.0

Collect like terms

-0.38Q_3 -Q_3=  30.8 - 97.0- 11.704

-1.38Q_3=  -77.904

Divide both sides -1.38

Q_3 = \frac{-77.904}{-1.38}

Q_3 = 56.45 --- approximated

Solving (b): The variance

First, calculate the standard deviation from:

3IQR  = 4SD

IQR= Q_3 - Q_1

So:

3IQR  = 4SD

3(Q_3 - Q_1) = 4SD

Make SD the subject

SD = \frac{3}{4}(Q_3 - Q_1)

SD = \frac{3}{4}(56.45 - 30.8)

SD = \frac{3}{4}*25.65

SD = \frac{3*25.65}{4}

SD = \frac{76.95}{4}

SD = 19.24

So, the variance is:

Var = SD^2

Var = 19.24^2

Var = 370.18

5 0
3 years ago
-2x+y=-12, 3y- 2x=-12
inessss [21]

Answer:

x = 6

y = 0

Explanation:

−2x+y=−12;3y−2x=−12

Rewrite equations:

−2x+y=−12;−2x+3y=−12

Solve −2x+y=−12 for y

−2x+y=−12

−2x+y+2x=−12+2x(Add 2x to both sides)

y=2x−12

Substitute 2x−12 for y in −2x+3y=−12

−2x+3y=−12

−2x+3(2x−12)=−12

4x−36=−12 (Simplify both sides of the equation)

4x−36+36=−12+36 (Add 36 to both sides)

4x=24

Divide both sides by 4

4x / 4 = 24 / 4

x = 6

Substitute 6 for x in y=2x−12

y=2x−12

y=(2)(6)−12

y=0 (Simplify both sides of the equation)

6 0
3 years ago
Read 2 more answers
Can you help me please
Ahat [919]

Answer:

split it in half then take that half and split it into 3rds

Step-by-step explanation:

Can i pls have brainliest

7 0
3 years ago
Read 2 more answers
You are ready to buy a house, and you have $20,000 for a down payment and closing costs. Closing costs are estimated to be 4% of
Viktor [21]
$160,105
i think. we can offer the house in $160,105
but am not totally sure abt it
8 0
3 years ago
Brent's neighbor paid him for fixing her roof. Brent shares the money equally with his brother who helped him on the job. If Bre
anygoal [31]
X/2 because he divided the money into two equal parts and gave one part to his brother, so he only has one part of the x divided into two. 
hope this helps.........
4 0
3 years ago
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