Answer:
Blue Line: y = 4x - 1
Green Line: y = -x + 6
Red Line: y = -x
Step-by-step explanation:
Looking at the equation y = mx + b
- The first giveaway is that the green line is the highest y-intercept (b- value). So we can say it's y = -x + 6
- Second giveaway is that the blue line has the lowest y-intercept (again the b- value). So we can say it's y = 4x - 1
- Third giveaway is that the red line has the same x-intercept AND y-intercept which is y = -x. Both intercepts are (0, 0).
Lastly, the rest of the statements are true in correspondence of the last 3 statements.
Principle: divide the correct possibilities by the total nr. of possibilities to find the probability.
6. P(green) = 5 / (7+5+6) = 5/18
7. P(red) = 6 / 18 = 1/3
8. P(not green) = P(red | blue) = (6+7)/18 = 13/18
9. P(HH) = 5/25 = 1/5
10. P(HT) = 16/25
11. P(NOT TT) = P(HH | HT) = (5+16)/25 = 21/25
12. P(HH | TT) = (5+4)/25 = 9/25
13. P(5) = 1/6. P(H) = 1/2. P(5 & H) = 1/6*1/2 = 1/12. If you draw all the possibilities, you'll find there are 12. One of them is 5 & Heads.
Answer: 8/12 = 2/3
Step-by-step explanation: To find the answer you must find a fraction that will have a denominator equal to 12. When changing 3/4 to 9/12 you multiple the 4 and the 3 by 3. When done doing that you will have 9/12 and 1/12. You subtract 1/12 from 9/12 and you should get 8/12, simplified to 2/3
Calculate the circumference and then add the 1 cm overlap:
C = pi*(6.6 cm) + 1 cm = 21.7 cm.
Next, mult this C by the height, 8.8 cm: Total area is 21.7 cm times 8.8 cm,
or 191.3 cm^3 (answer)
