Variance = summation of (x - mean)^2 all divided by the number of dataset.
mean = (17 + 5 + 11 + 1 + 11)/5 = 9
Variance = [(17 - 9)^2 + (5 - 9)^2 + (11 - 9)^2 + (1 - 9)^2 + (11 - 9)^2]/5 = (8^2 + (-4)^2 + 2^2 + (-8)^2 + 2^2}/5 = (64 + 16 + 4 + 64 + 4)/5 = 152/5 = 30.4
5-7 = -2 and 1-6= -5 so the slope would be 2/5. you would set it up like this:
y=2/5x and then your y-intercept
Your answer is
B) y= 5x +3
Hope this helps!!
:)
Answer:
x>-39
Step-by-step explanation:
-4x/-4=x
-4/-4=1
1-40=-39
Answer:
25 liters of the 16% solution should be added.
Step-by-step explanation:
pure acid amount + pure acid amount = total pure acid amount
0.02*10 + 0.16*x = 0.12*(10+x) <<<---=== it is your balance equation; x is the amount (in liters) of the 16% solution.
0.02*10 + 0.16x = 0.12*10 + 0.12*x
0.16*x - 0.12*x = 0.12*10 - 0.02*10
(0.16 - 0.12)*x = 0.12*10 - 0.02*10
x = %280.12%2A10-0.02%2A10%29%2F%280.16-0.12%29 = 25.
Answer. 25 liters of the 16% solution should be added.
Check. %280.02%2A10+%2B+0.16%2A25%29%2F%2810+%2B+25%29 = 0.12 = 12% of concentration of the final mixture. ! Correct !
