Answer with explanation:
It is given that, there is positive correlation between drinking coconut milk and eating potato chips.
→Correlation coefficient is denoted by r.
→The value of r lies between , -1 and 1 which is represented as , -1 ≤r≤1.
→Correlation that is relation between two variables is said to be strongly positive, if r is equal to 1, and it is said to be strongly weak, if it is equal to -1 , and said to have no association if r=0.
→ The meaning of positive correlation is that value of r, is greater than >0.8 but less than 1.
The two variables which are positively correlated ,can have following relationship.
1. With increase in one other increases.
2.With decrease in one other decreases.
3. Slope will be a linear that is a straight line not passing through origin.
Answer:
7
Step-by-step explanation:
First expand 2/3 (9x-6) = 4 (x+2)+ 2 By doing 2/3 (9x - 6)/3
Which gives you 2/3 (9x - 6)
Then you factor it 2/3 (9x - 6) 6 (3x - 2) get 6 (3x - 2) / 3
then you divide 6/3 with 2
Getting 2 (3x - 2)
The use the distributive law
2 x 3x - 2 x 2
simplify the equation
6x - 4
expand 4 (x +2) + 2: 4x + 10
which then equals 6x-4=4x+10
add 4 to both sides
6x-4+4=4x+10+4
simplify
6x=4x+14
subtract 4x from both sides
simplify again
2x=14
divide both sides by 2
2x/2 = 14/2
simplify one last time and get the answer
x=7
PART A
Change the fractions into improper fractions
pablo - rosa = 4 4/9 - 3 5/12
pablo - rosa = 40/9 - 41/12
Equalize the denominator of the fractions
I equalize them to 36. If the denominator 9 is multiplied by 4, so is the numerator. If the denominator 12 is multiplied by 3, so is the numerator.
pablo - rosa = 40/9 - 41/12
pablo - rosa = (40 × 4)/(9 × 4) - (41 × 3)/(12 × 3)
pablo - rosa = 160/36 - 123/36
pablo - rosa = 37/36
Change it to mixed fraction
pablo - rosa = 37/36
pablo - rosa = 1 1/36
Pablo has 1 1/36 quarts more than Rosa
PART B
Calculate the iced tea Pablo gave to Rosa
Change into proper fraction/improper fraction
iced tea given = 15% × 4 4/9
iced tea given = 15/100 × 40/9
iced tea given = 600/900
iced tea given = 2/3
Calculate Pablo's iced tea after giving
Pablo's = 40/9 - 2/3
Pablo's = 40/9 - (2 × 3)/(3×3)
Pablo's = 40/9 - 6/9
Pablo's = 34/9
Pablo's = 3 7/9
Calculate Rosa's iced tea
Rosa's = 41/12 + 2/3
Rosa's = 41/12 + (2 × 4)/(3 × 4)
Rosa's = 41/12 + 8/12
Rosa's = 49/12
Rosa's = 4 1/12
Pablo has 3 7/9 quarts and Rosa has 4 1/12 quarts
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