Which expression is equivalent to 4 7/8 ÷ 4 1/4
1 answer:
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(a) Take the Laplace transform of both sides:
where the transform of comes from
This yields the linear ODE,
Divides both sides by :
Find the integrating factor:
Multiply both sides of the ODE by :
The left side condenses into the derivative of a product:
Integrate both sides and solve for :
(b) Taking the inverse transform of both sides gives
I don't know whether the remaining inverse transform can be resolved, but using the principle of superposition, we know that is one solution to the original ODE.
Substitute these into the ODE to see everything checks out:
Answer:
option (D) 16.5
Step-by-step explanation:
Data provided:
Sleep time of , X = 15.9 is at the 10th percentile
Standard deviation, σ = 0.5 hour
also,
10th percentile of normal distribution is
Z = F⁻¹(0.10)
or
Z = - 1.28 (Using Standard Normal distribution)
Now,
or
X = μ + ( σ × Z )
or
μ = X - ( σ × Z )
on substituting the respective values, we get
μ = 15.9 - 0.5 × (-1.28)
or
μ = 16.5
Hence, the correct answer is option (D) 16.5
Slope intercept form is y = mx + b
7 tickets for $5 means that 1 ticket costs 5/7 dollars
So for part a, the slope intercept form would be:
where x is the number of tickets, and y is the price.
For part b)
The slope intercept form is:
where x is the number of all you can ride wristbands you buy, and y is the total price.
7 tickets for $5 means that 1 ticket costs 5/7 dollars
So for part a, the slope intercept form would be:
where x is the number of tickets, and y is the price.
For part b)
The slope intercept form is:
where x is the number of all you can ride wristbands you buy, and y is the total price.