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2 years ago

Addition properties and strategies to find sum

Mathematics

1 answer:

Oksana_A [137]2 years ago

6 0

Communitative property

I think

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Change 3/4 into its equivalent decimal form

svet-max [94.6K]

That would be 0.75:) hope this helps!

6 0

2 years ago

Read 2 more answers

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

Simply Each Expression

vitfil [10]

Answer:

$\frac{4}{9x^2}$

Step-by-step explanation:

$(\frac{2x^3}{3x^4} )^2$

$= (\frac{2}{3x} )^2$

$= \frac{4}{9x^2}$

3 0

3 years ago

Read 2 more answers

The figure below shows the net of a triangular pyramid. The given height is rounded to the nearest hundredth. If all the triangl

Nataly [62]

Answer: 43.3 square inches

Step-by-step explanation:

Formula for Triangle: A = bh/2

Key:

* = multiple

/ = divide

Fill in the formula with what you know:

A = bh/2

A = 5 * 4.33 / 2

A= 21.65 / 2 = 10.825 square inches

However, 10.825 is not our answer. 10.825 is the area of only one triangle. Since all four of the triangles are congruent (or the same) we can:

Add: 10.825 + 10.825 + 10.825 + 10.825 = 43.3 square inches

Multiple: 10.825 * 4 = 43.3 square inches

Thus, the surface area of the pyramid is 43.3 square inches.

4 0

3 years ago

- 10x - 5y = 5 - 4x + 5y = 23

Elina [12.6K]

The answer is (-2,3)

7 0

2 years ago