Answer: 40
Step-by-step explanation:
Answer:
29.27% probability that it takes Ariana between 58 and 70 seconds to do a math problem
Step-by-step explanation:
An uniform probability is a case of probability in which each outcome is equally as likely.
For this situation, we have a lower limit of the distribution that we call a and an upper limit that we call b.
The probability that we find a value X between c and d, d being greater than c, is given by the following formula:

Uniformly distributed between 38 seconds and 79 seconds.
This means that 
What is the probability that it takes Ariana between 58 and 70 seconds to do a math problem


29.27% probability that it takes Ariana between 58 and 70 seconds to do a math problem
Performing laplace transform of the equation.
sY(s) - y(0) + 6Y(s) = 1/(s-4)
(s+6)Y(s) - 2 = 1/(s-4)
Y(s) = 2/(s+6) + 1/(s-4)(s+6), by partial fraction decomposition
Y(s) = 2/(s+6) + 1/10 * (1/(s-4) + 1/(s+6))
Y(s) = 0.1/(s-4) + 2.1/(s+6)
Performing inverse laplace transform,
y(t) = 0.1e^4t + 2.1e^(-6t)
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The answer is 34.05
The total distance (D) is the sum of three distances (d1, d2, and d3).
The distance formula is

Distance 1: Phoenix (–12, –16) to Blythe (–20, –9)<span>:
</span>

Distance 2: Blythe (–20, –9) to Los Angeles (–33, –4):

Distance 3: Los Angeles (–33, –4) to <span>San Francisco (–36, 5)
</span>

<span>
D = d1 + d2 + d3 = 10.63 + 13.93 + 9.49 = 34.05</span>
The difference between the maximum value of g(x) and the minimum value of f(x) is 5.
Given function is:
......(1)
<h3>What is the general form of a quadratic equation?</h3>
The general form of a quadratic equation is
with
.
As we know the minimum value of a quadratic function is
when a>0
For f(x) a>0 so minimum value of f(x) =
=7
From the graph, the maximum value of g(x) =12
So, the difference between the maximum value of g(x) and the minimum value of f(x) =12-7 =5
Hence, the difference between the maximum value of g(x) and the minimum value of f(x) is 5.
To get more about quadratic functions visit:
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