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Lilit [14]
2 years ago
3

Brenna rolled a number cube 16 times and recorded each roll. The data are listed below. 2, 5, 5, 1, 4, 6, 2, 3, 5, 6, 3, 1, 4, 6

, 1, 5 Create a dot plot for the data set. Which value has the most dots displayed above it?

Mathematics
2 answers:
Katen [24]2 years ago
5 0
Your answer would be that 5 would have the most dots above it :)
navik [9.2K]2 years ago
4 0
<h3>Answer with explanation:</h3>

We are given the results on rolling a number cube 16 times as:

2, 5, 5, 1, 4, 6, 2, 3, 5, 6, 3, 1, 4, 6, 1, 5

Now for creating a dot plot we need to first find the frequency table of these set of values or results .

The table is given as follows:

Number on cube              Frequency

      1                                       3

      2                                       2

      3                                       2

      4                                       2

      5                                       4

      6                                       3

 Total                               3+2+2+2+4+3=16  

Hence, for making a dot plot we will draw a horizontal line that represents the number on the cube and the number of dots above that number represents the frequency of that number.

The value that has the most dot value displayed on it is:

5 ( Since it's frequency is highest i.e. 4)

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The center of a hyperbola is (−2,4) , and one vertex is (−2,7) . The slope of one of the asymptotes is 1/2 .
maxonik [38]

Answer:

<h2>The equation is \frac{(y - 4)^{2} }{9 } - \frac{(x + 2)^{2} }{36 } = 1.</h2>

Step-by-step explanation:

The equation of a hyperbola is represented by \frac{(y - k)^{2} }{b^{2} } - \frac{(x - h)^{2} }{a^{2} } = 1, where (h, k) is the center of the hyperbola.

As per the given condition, h = -2 and k = 4.

Thus, the equation becomes \frac{(y - 4)^{2} }{b^{2} } - \frac{(x + 2)^{2} }{a^{2} } = 1.

One vertex is (-2, 7).

Hence, putting x = -2 and y = 7, we get b^{2} = 9.

The slope of the asymptote is \frac{b}{a}.

Hence, \frac{b^{2} }{a^{2} } = \frac{1}{4} \\a^{2} = 36.

Thus, the equation is \frac{(y - 4)^{2} }{9 } - \frac{(x + 2)^{2} }{36 } = 1.

7 0
2 years ago
renu purchased an air conditioner for rs 40500 including 8% VAT. what was the price before including VAT?
jekas [21]

Answer:

₹ 37500

Step-by-step explanation:

Let the price before VAT be ₹x.

\therefore \: x + 8 \% \: of \: x = 40500 \\  \therefore \: x +0.08x = 40500 \\  \therefore \: 1.08x  = 40500 \\  \therefore \: x =  \frac{40500}{1.08}  \\ \huge  \red{ \boxed{ \therefore \: x = Rs.  \: 37,500}}

Hence the price before including VAT of air conditioner was ₹ 37,500.

7 0
2 years ago
A local library claims it has 2.73x103 books. If there are 42 people in the building, how many books per capita are there?
sveticcg [70]

Answer:

Per\ Capita = 64

Step-by-step explanation:

Given

Books = 2.7  * 10^3

People = 42

Required

Determine the per capita

The per capita is calculated by dividing number of books by people as follows;

Per\ Capita = \frac{Books}{People}

Substitute 2.7 * 10^3 for books and 42 for people

Per\ Capita = \frac{2.7 * 10^3}{42}

Per\ Capita = 64 (Approximated)

<em>Hence, the per capita is 64</em>

5 0
2 years ago
Explain how knowing 1+7 helps you find the sum for7+1
ss7ja [257]
1+7 and 7+1 are the same equations. The numbers are just switched around .
Example:
1+2=3
2+1+3

<span>They add up to the same answer no matter where they are placed, therefore knowing 1+7 helps you find the sum of 7+1 (again, because they are the same)  </span>
8 0
2 years ago
The organizers of a fair projected a 25 percent increase in attendance this year over that of last year, but attendance this yea
Gnom [1K]

Answer: 64 %

Step-by-step explanation:

Assume attendance last year to be equal to "x"

- An increase in percentage sees us add the percentage amount to 100.

- A decrease in percentage sees us subtract the percentage amount from 100.

Projected attendance = ((100+25)/100) * x = 1.25x

Actual attendance = ((100-20)/100) * x = 0.80x

Hence ratio of a actual to projected attendance = 0.80x/1.25x = 0.64

Convert into percentage = 0.64 * 100 = 64 %

5 0
2 years ago
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