C. 5x - 2y = 16 is your answer
plug in each point into the equation.
(2, -3)
x = 2, y = -3
5(2) - 2(-3) = 16
10 + 6 = 16
16 = 16 (True)
(4,2)
x = 4, y = 2
5(4) - 2(2) = 16
20 - 4 = 16
16 = 16 (True)
hope this helps
Answer:
9.25 or or 9 1/4
Step-by-step explanation:
For the first one, you just need to divide the amount of feet by 3 to get the amount of yards (there are three feet in a yard).
1431 / 3 = 476 2/3
The 102nd floor of the Sears Tower is 476 2/3 yards from the ground.
Second, you just need to multiply the amount of centimeters by 10 (there are 10 millimeters in a centimeter).
16 * 10 = 160
The butterfly has a wingspan of 160mm.
Third, the measurements are indeed
7. =
8. =
9. <
10. >
11. >
12. =
Fourth, you just need to know your conversion factors.
1. There are 3 feet in a yard. 42 / 3 = 14 yards
2. There are 1000 meters in a kilometer. 2350 / 1000 = 2.35 km
3. 12 inches in a foot. 18 * 12 = 216 inches
4. 10 decimeters in a meter. 289 * 10 = 2890 dm
5. 1760 yards in a mile. 1760 * 5 = 8800 yds
6. 10 millimeters in a centimeter. 35 * 10 = 350 mm
Hope that was helpful =)
Answer: 0.0497870 ; 0.87754
Step-by-step explanation:
Given that :
λ = 0.0003
Defining a continuous distribution function :
F(x) = 1 - e^-λx = 1 - e^-0.0003x ; x ≥ 0
a. What proportion of the fans will last at least 10,000 hours?
P(x ≥ 10000) = e^-0.0003(10000) = 0.0497870
b. What proportion of the fans will last at most 7000 hours?
P(x ≥ 7000) = 1 - p(x ≤ 7000) = 1 - e^-0.0003(7000)
1 - 0.12245642825 = 0.87754