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Mariana [72]
3 years ago
12

By what percent will the product of two numbers decrease if one of them is decreased by 25% and the other one is decreased by 50

%?
Mathematics
1 answer:
weeeeeb [17]3 years ago
7 0

Answer:

62.5%

Step-by-step explanation:

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The residents of a certain dormitory have collected the following data: People who live in the dorm can be classified as either
Ad libitum [116K]

Answer:

The steady state proportion for the U (uninvolved) fraction is 0.4.

Step-by-step explanation:

This can be modeled as a Markov chain, with two states:

U: uninvolved

M: matched

The transitions probability matrix is:

\begin{pmatrix} &U&M\\U&0.85&0.15\\M&0.10&0.90\end{pmatrix}

The steady state is that satisfies this product of matrixs:

[\pi] \cdot [P]=[\pi]

being π the matrix of steady-state proportions and P the transition matrix.

If we multiply, we have:

(\pi_U,\pi_M)*\begin{pmatrix}0.85&0.15\\0.10&0.90\end{pmatrix}=(\pi_U,\pi_M)

Now we have to solve this equations

0.85\pi_U+0.10\pi_M=\pi_U\\\\0.15\pi_U+0.90\pi_M=\pi_M

We choose one of the equations and solve:

0.85\pi_U+0.10\pi_M=\pi_U\\\\\pi_M=((1-0.85)/0.10)\pi_U=1.5\pi_U\\\\\\\pi_M+\pi_U=1\\\\1.5\pi_U+\pi_U=1\\\\\pi_U=1/2.5=0.4 \\\\ \pi_M=1.5\pi_U=1.5*0.4=0.6

Then, the steady state proportion for the U (uninvolved) fraction is 0.4.

4 0
3 years ago
Solve the equation 2.7 + x = 17
olga55 [171]
Hello!

To solve this equation, we need to isolate the variable on one side of the equation to see what it equals. 

As you can see, 2.7 is added. To get it onto the other side and cancel it from the one side, you will subtract it from both sides as shown below. Note that because of the commutative property, we can switch the places of 2.7 and x.

x+2.7-2.7=17-2.7  (Note that 2.7=2.7 is 0 in this equation.
x=14.3

Our solution is x=14.3

I hope this helped you learn how to solve equations a bit better!
4 0
3 years ago
Find the base of an isosceles triangle whose area is 60 cm2 and the length of one of its equal sides is 13 cm​
Karolina [17]

Answer:

b≈10cm

or

24cm

Step-by-step explanation:

5 0
3 years ago
Match each term with the part of the expression 9m4−12m−6−12 it best describes. All terms will be used ONLY once.
RideAnS [48]

Answer:

see below...

Step-by-step explanation:

-12=constant [# doesn't change]

4=degree [exponent]

-6m= term [variable or 3]

9=coefficient [first #]

4 0
3 years ago
Which equations are true?
ohaa [14]

The correct answer from the task content is; Choice C; None of the above.

<h3>Which of the equations are true?</h3>

The equations can be evaluated as follows;

A) -x + (-x) =0

-x -x = -2x......Not True

B) x -(-x) = 0

x + x = 2x .....Not True.

On this note, it follows that none of the equations is true.

Read more on equations;

brainly.com/question/2972832

#SPJ1

3 0
2 years ago
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