Step-by-step explanation:
given that 1.5 gram of fat =3% of 2000 calorie diet.
Thus, 1.5 gram of fat contributes to 3/100*2000= 60 calorie of diet.
Generally 6% of the diet must be fat.(recommended)
Since, 1.5 gram = 3%
thus, 3 gram =6%.
Well, he used one box to decorate his yard, that's for sure. Then he used 40 from the other box to decorate his porch and the rest inside his house. That rest might be anything between 1 and infinity. So there were at least 41 balloons in each box. I think the question is incomplete, please doublecheck it so I'll be able to give you more specific result.
Answer:
The solution is (2,6)
Step-by-step explanation:
Let
x-----> the number of hours to change a fuel injection unit
y-----> the number of hours to change a transmission
we know that
5x+10y=70 -----> equation A
8x+8y=64 -----> equation B
Solve the system of equations by graphing
Remember that the solution of the system of equations is the intersection point both graphs
The solution is the point (2,6)
see the attached figure
Correlation coefficient (r) = [nΣxy - (Σx)(Σy)] / [sqrt(nΣx^2 - (Σx)^2)sqrt(nΣy^2 - (Σy)^2)]
Σx = 21 => (Σx)^2 = 21^2 = 441
Σy = 671 => (Σy)^2 = 671^2 = 450,241
Σx^2 = 1 + 4 + 9 + 16 + 25 + 36 = 91
Σy^2 = 98^2 + 101^2 + 109^2 + 117^2 + 119^2 + 127^2 = 75,665
Σxy = 1(98) + 2(101) + 3(109) + 4(117) + 5(119) + 6(127) = 2,452
r = [6(2,452) - 21(671)] / [sqrt(6(91) - 441)sqrt(6(75,665) - 450,241)] = 621/sqrt(105)sqrt(3749) = 0.99
option b is the correct answer.