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guapka [62]
3 years ago
11

Enter the numerator and the denominator of the fraction in simplest form that is equal to 0.998¯¯¯¯¯¯¯¯.

Mathematics
2 answers:
damaskus [11]3 years ago
7 0

Answer:

998/999

Step-by-step explanation:

just  did it

Nookie1986 [14]3 years ago
6 0

Answer:

998/1000

or  

499/500 simplified

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Assume a recent sociological report states that university students drink 5.10 alcoholic drinks per week on average, with a stan
Lerok [7]

Answer:

Mean of sampling distribution = 5.10 alcoholic drinks per week

Standard deviation of the sampling distribution = 0.11

Step-by-step explanation:

We are given the following in the question:

Mean, μ = 5.10 alcoholic drinks per week

Standard Deviation, σ = 1.3401

Sample size, n = 150

a) Mean of sampling distribution

The best approximator for the mean of the sampling distribution is the population mean itself.

Thus, we can write:

\mu_{\bar{x}} = \mu = 5.10

b) Standard deviation of the sampling distribution

=\dfrac{\sigma}{\sqrt{n}} = \dfrac{1.3401}{\sqrt{150}} = 0.11

3 0
3 years ago
Solve this inequality:<br> -12a +7&lt;31
vagabundo [1.1K]

Answer:

a > -2

Step-by-step explanation:

-12a +7<31

Subtract 7 from each side

-12a +7-7<31-7

-12a <24

Divide by -12, remembering to flip the inequality

-12a/-12 >24/-12

a > -2

7 0
3 years ago
Read 2 more answers
The temperature at 6:00 pm was 24°. At midnight the temperature 36° lower than 6:00pm . What was the temp at midnight?
horrorfan [7]

Answer:

-12°

Step-by-step explanation:

Man... I just did 36 minus 24, and since it says 36° lower I decided it was -12 degrees (24 - 36 is more accurate but I find it easier just to do it the other way)

4 0
3 years ago
Use matrix addition to solve this equation: B + 15 −7 4 0 1 2 = 1 2 12 4 0 2 b11 = b12 = b13 = b21 = 4 b22 = −1 b23 = 0
Arada [10]

Answer:

b_{11}=-14,b_{12}=9,b_{13}=8,b_{21}=4,b_{22}=-1,b_{23}=0

Step-by-step explanation:

The given matrix addition is

B+\begin{bmatrix}15&-7&4\\ 0&1&2\end{bmatrix}=\begin{bmatrix}1&2&12\\ 4&0&2\end{bmatrix}

We need to find the elements of matrix B.

Let B=\begin{bmatrix}b_{11}&b_{12}&b_{13}\\ b_{21}&b_{22}&b_{23}\end{bmatrix}

Substitute the value of matrix.

\begin{bmatrix}b_{11}&b_{12}&b_{13}\\ b_{21}&b_{22}&b_{23}\end{bmatrix}+\begin{bmatrix}15&-7&4\\ 0&1&2\end{bmatrix}=\begin{bmatrix}1&2&12\\ 4&0&2\end{bmatrix}

After addition of two matrix we get

\begin{bmatrix}b_{11}+15&b_{12}-7&b_{13}+4\\ b_{21}+0&b_{22}+1&b_{23}+2\end{bmatrix}=\begin{bmatrix}1&2&12\\ 4&0&2\end{bmatrix}

On equating both sides.

b_{11}+15=1\Rightarrow b_{11}=-14

b_{12}-7=2\Rightarrow b_{12}=9

b_{13}+4=12\Rightarrow b_{13}=8

b_{21}+0=4\Rightarrow b_{21}=4

b_{22}+1=0\Rightarrow b_{22}=-1

b_{23}+2=2\Rightarrow b_{23}=0

Therefore, the elements of matrix B are b_{11}=-14,b_{12}=9,b_{13}=8,b_{21}=4,b_{22}=-1,b_{23}=0.

3 0
3 years ago
If it takes Andre 4 minutes to swim five laps how much will it take him to swim 22 laps at the same speed
Musya8 [376]

Answer:

17.6 minutes

Step-by-step explanation:

\frac{4}{5} = \frac{x}{22}

5x=22

x=\frac{22}{5}

4(\frac{22}{5} ) = \frac{88}{5} = 17.6

5 0
3 years ago
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