Xy = 6
x + y = 9
x + y = 9
x - x + y = -x + 9
y = -x + 9
xy = 6
x(-x + 9) = 6
x(-x) + x(9) = 6
-x² + 9x = 6
-x² + 9x - 6 = 0
-1(x²) - 1(-9x) - 1(6) = 0
-1(x² - 9x + 6) = 0
-1 -1
x² - 9x + 6 = 0
x = -(-9) ± √((-9)² - 4(1)(6))
2(1)
x = 9 ± √(81 - 24)
2
x = 9 ± √(57)
2
x = 4.5 ± 0.5√(57)
x + y = 9
4.5 ± 0.5√(57) + y = 9
- (4.5 ± 0.5√(57)) - (4.5 ± 0.5√(57))
y = 4.5 ± 0.5√(57)
(x, y) = (4.5 ± 0.5√(57), 4.5 ± 0.5√(57))
The two numbers that multiply to 6 and add up to 9 are 4.5 ± 0.5√(57).
"one" will fill both blanks.
Answer:
The number of times the variability in the heights of the sixth graders is the variability in the heights of the seventh graders is approximately 1.4
Step-by-step explanation:
From the question, the mean absolute deviation (MAD) of the sixth graders = 1.2 and that of the seventh graders = 1.7
The variability in the heights of the sixth graders = 1.2
The variability in the heights of the seventh graders = 1.7
To calculate how many times the variability in the heights of the sixth graders is the variability in the heights of the seventh graders, we will divide the variability of the seventh graders by the variability of the sixth graders
That is, 1.7/ 1.2 = 1.4167 ≅ 1.4
Hence, the number of times the variability in the heights of the sixth graders is the variability in the heights of the seventh graders is approximately 1.4
To know how many correspond to each tray if we divide the total cookies equally, we need to make a division of the total cookies divided by the amount of trays, that is:
567 cookies / 7 trays = 567/7
= 81
therefore, there will be 81 cookies in each tray
Answer:
u = 
Step-by-step explanation:
Since u varies inversely as s³, then
u ∝ 
To convert to an equation multiply by k the constant of variation
u = k × =
