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:
3456
Step-by-step explanation:
Ten times the dimensions is:
4.8 * 10 in by 7.2 * 10 in = 48 by 72 inches
The area is the product of the two numbers:
48*72 = 3456 inches squared
Answer:
a=6
Step-by-step explanation:
distribute:
3a-15-6=-15
combine like terms:
3a-21=-15
add 21 to each side:
3a=6
divide by 3:
a=2
Answer:
4 years
Step-by-step explanation:
Note that:
1 foot = 12 inches
1 2/3 feet = x inches
We cross multiply
1 foot × x inches = 1 2/3 feet × 12 inches
x inches = 1 2/3 feet × 12 inches/1 foot
x inches = 5/3 × 12 inches
x inches = 20 inches
A tree grows 5 inches each year. How many years will it take for the tree to be 1 2/3 feet tall = 20 inches
This is calculated as
5 inches = 1 year
20 inches = x year
Cross Multiply
5x = 20 inches × 1 year
x = 20/5
x = 4 years
It would take the tree 4 years to be 1 2/3 feet tall
Answers and Explanations:
4. They do not have a proportional relationship. For the first 3 sets, you can multiply x by 2.5 to get y. But that does not work for 8 and 18, so there is no proportional relationship between x and y.
5. Yes. For equilateral triangles, the side length is equal to the perimeter divided by 3, the number of sides. Vise versa, the side length times 3 equals the perimeter. If the side length is 3 in, multiply by 3 to get 9 in, the diameter.
6. Yes. it is proportional. X times 80 equals Y. In this case, in 8 hours, 640 tickets were sold.
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