Answer:
The Laplace transform of f(t) = 1 is given by
F(s) = (1/s) for all s>0
Step-by-step explanation:
Laplace transform of a function f(t) is given as
F(s) = ∫∞₀ f(t) e⁻ˢᵗ dt
Find the Laplace transform for when f(t) = 1
F(s) = ∫∞₀ 1.e⁻ˢᵗ dt
F(s) = ∫∞₀ e⁻ˢᵗ dt = (1/s) [-e⁻ˢᵗ]∞₀
= -(1/s) [1/eˢᵗ]∞₀
Note that e^(∞) = ∞
F(s) = -(1/s) [(1/∞) - (1/e⁰)]
Note that (1/∞) = 0
F(s) = -(1/s) [0 - 1] = -(1/s) (-1) = (1/s)
Hope this Helps!!!
Answer:
<h2>652 ft²</h2>
Step-by-step explanation:
Look at the picture.
It's a net of right rectangular prism.
We have three pairs of rectangles:
7ft × 8ft
7ft × 18ft
8ft × 18ft
The formula of an area of a rectangle l × w:
A = lw
Calculate the areas:
A₁ = (7)(8) = 56 ft²
A₂ = (7)(18) = 126 ft²
A₃ = (8)(18) = 144 ft²
The Surface Area :
S.A. = 2A₁ + 2A₂ + 2A₃
Substitute:
S.A. = 2(56) + 2(126) + 2(144) = 652 ft²
If the primeter is 1 meter it is 0.25 cetemeters on each side
2.5 is the mean of this distribution.
What is the distribution's mean?
- The expected value, commonly known as the mean of a statistical distribution with a continuous random variable, is calculated by integrating the product of the variable's probability as described by the distribution.
- The lowercase Greek letter mu () stands for the expected value. A probability of 50% equals zero standard deviations, and the mean is in the middle of the normal distribution.
Given: p = 0.05 and n= 50
Mean of the binomial distribution = n×p = 50 × 0.05 = 2.5
Therefore, option a is the correct answer. Other options are incorrect because these are irrelevant.
Learn more about binomial distribution
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Answer: X=55/2
Explanation: Set all the values equal to 180 since all the angles in a triangle equal to 180 degrees. I checked my answer with calculator!