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olya-2409 [2.1K]
3 years ago
13

Please Help giving Brainliest1!! A die is rolled 16 times and the number that appeared for each roll was recorded. The results a

re shown below and should be used to answer questions 10–12.
10. If this data were to be displayed using a dot plot, what numbers would be displayed along the horizontal number line?
11.Which numbers along the horizontal number line would have the same amount of dots above them?

Mathematics
1 answer:
Gwar [14]3 years ago
4 0
10. The numbers on the horizontal line would be:
1, 2, 3, 4, 5, 6

11. Count how many of each number there is.
1- 3
2- 4
3- 2
4- 3
5- 2
6- 2
So numbers 1 and 4 will both have 3 dots above them and numbers 3, 5, 6 will have 2 dots above them.

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Given <br><img src="https://tex.z-dn.net/?f=%20log_%7B2%7D%28x%29%20%20%3D%20%20%5Cfrac%7B3%7D%7B%20log_%7Bxy%7D%282%29%20%7D%20
Naily [24]

Answer:

\displaystyle y = x^{-\frac{2}{3}}

Step-by-step explanation:

<u>Logarithms</u>

Some properties of logarithms will be useful to solve this problem:

1. \log(pq)=\log p+\log q

2. \displaystyle \log_pq=\frac{1}{\log_qp}

3. \displaystyle \log p^q=q\log p

We are given the equation:

\displaystyle \log_{2}(x) = \frac{3}{ \log_{xy}(2) }

Applying the second property:

\displaystyle  \log_{xy}(2)=\frac{1}{ \log_{2}(xy)}

Substituting:

\displaystyle \log_{2}(x) = 3\log_{2}(xy)

Applying the first property:

\displaystyle \log_{2}(x) = 3(\log_{2}(x)+\log_{2}(y))

Operating:

\displaystyle \log_{2}(x) = 3\log_{2}(x)+3\log_{2}(y)

Rearranging:

\displaystyle \log_{2}(x) - 3\log_{2}(x)=3\log_{2}(y)

Simplifying:

\displaystyle -2\log_{2}(x) =3\log_{2}(y)

Dividing by 3:

\displaystyle \log_{2}(y)=\frac{-2\log_{2}(x)}{3}

Applying the third property:

\displaystyle \log_{2}(y)=\log_{2}\left(x^{-\frac{2}{3}}\right)

Applying inverse logs:

\boxed{y = x^{-\frac{2}{3}}}

7 0
3 years ago
I know this isn’t math but help<br> What is the role of the Executive Office of the President?
Alexxx [7]

Answer:

The EOP has a ton of responibilities for tasks ranging from communicating the President's message to the American people to promoting our trade interests abroad. The EOP is overseen by the White House Chief of Staff and has traditionally been home to many of the President's closest advisers.

4 0
2 years ago
A 650-pund snowmobile trailer is sitting on an exit ramp inclined at 40 degrees
Dima020 [189]
Um what. This doesn’t make sense. Your not even asking a question
6 0
3 years ago
Which of the following are solutions to the system graphed below.
Kisachek [45]
Weird. I think you just need to look if the point falls on the shaded area. But only (-5,5) does ...

4 0
3 years ago
Find the axis of symmetry for y=3x^2 +5x-7
slamgirl [31]
A = the number before x^2 = 3
b = the number before x = 5
To find the axis of symmetry: -b/2a
x = -5/6

5 0
3 years ago
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