Let x represent gallons of $19 paint
let y represent gallons of $3 paint
first you make your 2 equations
x+y=16, y=16-x
(19x+3y) ÷ 16 = 14
then you use substitution
14 = (19x + 3(16-x) ) ÷16
224 = 19x + 48 - 3x
176 = 16x
11 = x, so there's 11 gallons of $19 paint
recall that x+y=16
11+y=16
5=y
so there are 11 gallons of $19 paint and 5 gallons of $3 paint
They are different rows of pennies that’s why they vary
Answer:
Jeff mows 9 yards of lawn in 30 minutes
Step-by-step explanation:
The equation that models the amount of time (t) in minutes it takes Jeff to mow an average sized yard is 
, where n is the number of yards he mows.
To find the number of yards Jeff mows in 30 minutes, we set the equation to 30 and solve for n.
Add -12 to both sides:
Divide both sides by 2
Hence Jeff mows 9 yards of lawn in 30 minutes.
A strong positive correlation.
Step-by-step explanation:
The question requires you to calculate the correlation coefficient and then make a conclusion about its value.
Form a table as shown where x is cost of items and y is shipping cost
x y xy x² y²
25 5.99 149.8 625 35.9
45 8.99 404.6 2025 80.8
50 8.99 449.5 2500 80.8
70 10.99 769.3 4900 120.8
190 34.96 1773.2 10050 318.3 ------sum
The formula for correlation coefficient follows;
r=n(∑xy)-(∑x)(∑y) ÷ √{[n∑x²-(x)²] [n∑y²-(y)²]}
where n=4
r=4(1773.2)-(190)(34.96) ÷ √{[4(10050)-190²] [4(318.3)-34.96²]}
r=450÷ √{4100*51)
r=450÷√209100
r=450÷457.3
r=0.98409
The value of r indicates a stronger positive correlation
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Correlation coefficient :brainly.com/question/12528676
Keywords :shipping costs,cost of items, strength of the model
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Answer:
See explanation
Step-by-step explanation:
The average rainfall when you add all 10 years of rainfall up and divide by 10 is an average of 59.946 inches of rain each year. The equation for the data is y = -0.53x + 64.45, this means that the rainfall is getting less each year at a -0.53 inches of rain each year.
x = year (2004 would be 4, etc)
