2/3 and 6/9 equal 18/18 = 1 whole
Step-by-step explanation:
1. 3 and 2 are complementary because when you add them up, they give a toral of 90°.
2. As you may tell from the picture, and that they stated it in the question, angles 1 and 2 are added and they give a total of 90°.
3. If we consider that angle 3 is somewhat equal to angle 1, then the statement is true.
4. As I mentioned, if angle 1 and angle 3 are equal, then the statement is also true.
5. It was kind of proven above that angle 1 and angle two are similar, so this is true.
6. Like option 5, this is also the same thing.
I hope it helped!
like horror movies hate horror movies total
like animated 21 22 43
doesn't like animated 56 3 59
total 77 25 102
if a student likes horror movies (there are 77 of them)...what is the probability that student also like animated movies.....21/77 or 27%
Answer:
The probability that a randomly selected high school senior's score on mathematics part of SAT will be
(a) more than 675 is 0.0401
(b)between 450 and 675 is 0.6514
Step-by-step explanation:
Mean of Sat =
Standard deviation = 
We will use z score over here
What is the probability that a randomly selected high school senior's score on mathe- matics part of SAT will be
(a) more than 675?
P(X>675)
Z=1.75
P(X>675)=1-P(X<675)=1-0.9599=0.0401
b)between 450 and 675?
P(450<X<675)
At x = 675
Z=1.75
At x = 450
Z=-0.5
P(450<X<675)=0.9599-0.3085=0.6514
Hence the probability that a randomly selected high school senior's score on mathematics part of SAT will be
(a) more than 675 is 0.0401
(b)between 450 and 675 is 0.6514
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!!!
