Answer: Choice C) -1/3
The given line has a slope of -1/3 so anything parallel to that given line is also going to have an equal slope (of -1/3)
To find the slope of that line shown, notice how we drop down 1 unit and the move to the right 3 units when we go from the left point to the right point. Alternatively, you can use the slope formula m = (y2-y1)/(x2-x1) to get the same result.
Answer:
a. 62
Step-by-step explanation:
use the Bodmas method
=3×9-5+20×2
=<u>62</u><u> </u>
Move the 14 over and get
5x = 2
divide by 5
x = 2/5
Answer: Area of cross section that is parallel to face CDHG is 432 cm².
Step-by-step explanation:
Since we have given that
There is a cross section that is parallel to face CDHG.
So, Length of cross section would be 36 cm
Width of cross section would be 12 cm.
So, Area of cross section would be
Hence, Area of cross section that is parallel to face CDHG is 432 cm².
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
