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
Answer:
The equation is y = 4x + 5
Step-by-step explanation:
To find the equation to this table, pick two ordered pairs and use the slope formula to find the slope. For this we'll use (4, 21) and (8, 37).
m(slope) = (y2 - y1)/(x2 - x1)
m = (37 - 21)(8 - 4)
m = 16/4
m = 4
Now we can use that slope along with any point in point-slope form to find the equation.
y - y1 = m(x - x1)
y - 21 = 4(x - 4)
y - 21 = 4x - 16
y = 4x + 5
Here we have one large triangle with two smaller triangles drawn inside. The two smaller triangles are similar.
Thus, a/12 = 12/16, or a/12 = 3/4, or 4a=36, or a = 9.
Find b in the same way: b/20 = 9/12 (and so on).
Answer:
14
Step-by-step explanation:
70
1 * 70
5 * 14
7 * 10
42
1 * 42
3 * 14
7 * 6
28
1 * 28
2 * 14
7 * 4
pick the largest factor from 70 and check it they also work with the other two. 14 is the GCF.
