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Anastaziya [24]
3 years ago
9

4 1/10 as a mixed number?

Mathematics
2 answers:
nignag [31]3 years ago
8 0

Answer:

mixed fraction= 4 1/10....

Vlad [161]3 years ago
5 0

Answer:

41/10, a mixed number is just without the large nunber on the side but added to the answer

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Dina has a number cube that she uses for a game. The number cube has the shape of a triangular pyramid, with 4 faces numbered 1
yaroslaw [1]

Answer:

A) The relative frequencies in the table are reasonably close; C) The relative frequency of rolling an even number is 0.51.

Step-by-step explanation:

The relative frequencies given are at most 0.02 apart.  This means they are reasonably close.

The theoretical probability for each outcome would be 1/4, or 0.25; this means the theoretical probability of rolling an even number would be 0.50, not 0.51.

However, the relative frequency of rolling an even number would be 0.24+0.27 = 0.51.

Since the relative frequencies are reasonably close, the number cube is likely to be fair.

6 0
3 years ago
Read 2 more answers
Determine the number of real solutions of -2x^2+5x-3=0
Tema [17]

Answer:

Two distinct real solutions.

Step-by-step explanation:

Given the equation in the form ax^2+bx+c=0, you need to find the Discriminant with this formula:

D=b^2-4ac

For the equation -2x^2+5x-3=0 you can identify that:

a=-2\\b=5\\c=-3

Then, substituting these values into the formula, you get that the Discriminant is:

D=5^2-4(-2)(-3)

D=1

 Since D>0, then -2x^2+5x-3=0 has two distinct real solutions.

8 0
3 years ago
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
Write 7:30 in two ways pertaining to time
Vanyuwa [196]
Seven-thirty.
A half an hour past seven o'clock.
4 0
4 years ago
Read 2 more answers
Rosa has $117 in her savings account and $95 in her checking account. Each week she will put $21 into her savings account and $2
mr_godi [17]

Answer:

It will take Rosa 5 and a half (5.5) weeks to have the same amount of money in both accounts.

Step-by-step explanation:

For this problem, we will have to set two expressions equal to each other. The first expression will represent Rosa's saving account, which already has $117 in it. Every week (x), she adds $21 to her savings account:

21x+117

The second expression will represent Rosa's checking account. Rosa's checking account already has $95 in it. Every week (x), she adds $25 to her checking account:

25x+95

Now that we have our two expressions, set them equal to each other. This is our equation that will be used to find the number of weeks (x) it takes until Rosha has the same amount of money in both accounts:

21x+117=25x+95

Subtract 21x from both sides of the equation:

117=4x+95

Subtract 95 from both sides of the equation:

22=4x

Divide both sides of the equation by the coefficient of x, which is 4:

5.5=x

x=5.5

So it will take five and a half weeks for her accounts to have the same amount of money.

_

Check your work by substituting 5.5 into the initial equation:

21(5.5)+117=25(5.5)+95

115.5+117=137.5+95

232.5=232.5

Since the accounts have the same amount, the answer is correct!

6 0
3 years ago
Read 2 more answers
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