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almond37 [142]
2 years ago
13

QUESTION 29

Mathematics
1 answer:
Shalnov [3]2 years ago
6 0

The sum of the set of x - values given to us is calculated as; ∑X = -1

<h3>How to find the the sum of a set of data?</h3>

We are given;

X1 = 2, X2 = -8, X3 = 4, X4 = -8 and Y1 = -3, Y2 = -8, Y3 = 10, Y4 = 6

1) ∑X = X1 + X2 + X3 + X4

∑X = 2 + (-8) + 4 + 1 = -1

2) ∑Y = Y1 + Y2 + Y3 + Y4

∑Y = 3 + (-8) + 10 + 6

∑Y = -11

3) ∑ X² = X₁² + X₂² + X₃² + X₄²

∑X² = (2)² + (-8)² + (4)² + (1)²

∑X² = 85

4) ∑Y² = Y₁² + Y₂² + Y₃² + Y₄²

∑X² = (-3)² + (-8)² + (10)² + (6)²

∑X² = 209

Complete question is;

Two variables, X and Y assume the values X1 = 2, X2 = -5, X3 = 4, X4 = 1 and Y1 = -3, Y2 = -8, Y3 = 10, Y4 = 6, respectively. Calculate (a) ∑X, (b) ∑ Y, (c) ∑ X² (d) ∑ Y²

Read more about Sum of data at; brainly.com/question/15858152

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A dinner check is to be split among 3 people. Greg’s portion of the check is twice Kelly’s. Joe’s portion is $1.50 less than 4 t
defon

Answer:

Kelly owes $16.5

Greg owes $33

Joe owes $64.5

Step-by-step explanation:

Let

Kelly's portion = x

Greg's portion = 2x

Joe's portion = 4x - 1.50

Total bill = $114.00

Total bill = Kelly's portion + Greg's portion + Joe's portion

114 = x + 2x + (4x - 1.50)

114 = 3x + 4x - 1.50

114 = 7x - 1.50

Add 1.50 to both sides

114 + 1.50 = 7x - 1.50 + 1.50

115.5 = 7x

Divide both sides by 7

x = 115.5 / 7

= 16.5

x = $16.5

Kelly's portion = x

x = $16.5

Greg's portion = 2x

= 2 × 16.5

= $33

Joe's portion = 4x - 1.50

= 4(16.5) - 1.50

= 66 - 1.50

= $64.5

Therefore,

Kelly owes $16.5

Greg owes $33

Joe owes $64.5

7 0
3 years ago
NASA performed aerodynamic and acoustic tests of two and three-dimensional airfoil blade sections. These tests were conducted in
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Answer:

a) ρ (X,Y) = 0.125

b)  The linear relationship is weak because ρ (X,Y) is almost 0

c) There is a positive linear relationship because ρ (X,Y) > 0

Step-by-step explanation:

The Pearson correlation coefficient is calculate as :

ρ (X,Y) = (σXY) / (σX)(σY)

-1 ≤ ρ ≤ 1

When ρ = 0 there is no linear relationship between the variables. This does not mean that the variables are independent.

When ρ = 1 the linear relationship is perfect positive. ρ = 1 means a direct relation between X and Y : When X increases also Y increases in constant proportion. When Y increases also X increases in constant proportion.

When ρ = -1 the linear relationship is perfect negative. ρ = -1 means a inverse relation between X and Y : When X increases Y decreases in constant proportion. When Y increases X decreases in constant proportion.

In our exercise ρ (X,Y) = 13.44 / (15.57)(6.90) = 0.125

a) ρ (X,Y) = 0.125

b)  The linear relationship is weak because ρ (X,Y) is almost 0

c) There is a positive linear relationship because ρ (X,Y) > 0

4 0
3 years ago
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