Jake's guesses are illustrations of probabilities.
The probability that Jake's guesses are correct is 1/720
The sample size is:
--- 10 different numbers
The probability that Jake's guesses are correct is as follows:
- 1st guess = 1/10
- 2nd guess = 1/9
- 3rd guess = 1/8
So, the required probability is:


Hence, the probability that Jake's guesses are correct is 1/720
Read more about probabilities at:
brainly.com/question/11234923
Using the Laplace transform to solve the given integral equation f(t) = t, 0 ≤ t < 4 0, t ≥ 4 is 
explanation is given in the image below:
Laplace remodel is an crucial remodel approach that's particularly beneficial in fixing linear regular equations. It unearths very wide programs in var- areas of physics, electrical engineering, manipulate, optics, mathematics and sign processing.
The Laplace transform technique, the function inside the time domain is transformed to a Laplace feature within the frequency area. This Laplace function could be inside the shape of an algebraic equation and it may be solved without difficulty.
Learn more about Laplace transformation here:-brainly.com/question/14487437
#SPJ4
I= Prt
I= 5000*0.05*5
I= $1,250
So she will pay $ 1,250 in interest .
I hope that's help !
The domain of the inverse of a function is the range of the original function
so find the range of f(x)
this is lowest to highest
we got the vertex is at (0,4)
and it goes to infinity
so range is from 4 to infinity
inverse
replace f(x) with y
switch x and y
solve for y
replace y with finverse
f(x)=x^2+4
y=x^2+4
x=y^2+4
x-4=y^2
y=√(x-4)
f⁻¹(x)=√(x-4)
inverse is f⁻¹(x)=√(x-4)
the domain is x≥4
Answer:
the last one it goes in the opposite direction