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anygoal [31]
4 years ago
15

Will surveyed students at his school about whether they have ever gone snowboarding and whether they own a skateboard. He found

that 35 of the 99 students who own a skateboard have snowboarded. Also, there were 13 students who have snowboarded but do not own a skateboard, and 147 students who have never gone snowboarding and do not own a skateboard. Which two-way table correctly displays this data?
Mathematics
2 answers:
Aleonysh [2.5K]4 years ago
7 0

Answer:

We are given that,

The number of students who have gone snowboarding and who own a skateboard shown by the survey are,

Number of students who own a skateboard = 99

Out of these 99, the number of students who have snow-boarded = 35

So, the number of students who have not snow-boarded = 99 - 35 = 64

The number of students who have snow-boarded but do not own a skateboard = 13

And, the number of students who have never gone snowboarding and do not own a skateboard = 147

Thus, the two-way table is given by,

                           Have Snow-boarded       Never snow-boarded      Total

Skateboard                     35                                           64                     99

No skateboard                13                                           147                    160

Total                                48                                           211                    259                    

larisa [96]4 years ago
6 0

Answer:

third graph

Step-by-step explanation:

We represent the above information in a two way frequency table.


                             Have Snowboarded         Never Snawboarded          Total

Skateboard                          35                                     64                          99


No Skateboard                    13                                     147                        160


Total                                     48                                     211                        259


Therefore, the third graph is the correct answer.

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Which set of numbers could represent the lengths of the sides of a right triangle?
DiKsa [7]

Answer:

The first set: 8, 15, and 17.

Step-by-step explanation:

<h3>Pair: 8, 15, 17</h3>

By the pythagorean theorem, a triangle is a right triangle if and only if

\text{longest side}^2 = \text{first shorter side}^2 + \text{second shorter side}^2.

In this case,

\text{longest side}^2 = 17^2 = 289.

\begin{aligned}&\text{first shortest side}^2 + \text{second shortest side}^2 \\ &= 8^2 + 15^2\\ &=64 + 225 = 289 \end{aligned}.

In other words, indeed \text{hypotenuse}^2 = \text{first leg}^2 + \text{second leg}^2. Hence, 8, 15, 17 does form a right triangle.

Similarly, check the other pairs. Keep in mind that the square of the longest side should be equal to the sum of the square of the two

<h3>Pair: 10, 15, 20</h3>

Factor out the common factor 2 to simplify the calculations.

\text{longest side}^2 = 20^2 = 400

\begin{aligned}&\text{first shortest side}^2 + \text{second shortest side}^2 \\ &= 10^2 + 15^2\\ &=100 + 225 = 325 \end{aligned}.

\text{longest side}^2 \ne \text{first shorter side}^2 + \text{second shorter side}^2.

Hence, by the pythagorean theorem, these three sides don't form a right triangle.

<h3>Pair: 12, 18, 22</h3>

\text{longest side}^2 = (2\times 11)^2 = 2^2 \times 121.

\begin{aligned}&\text{first shortest side}^2 + \text{second shortest side}^2 \\ &= (2 \times 6)^2 + (2 \times 9)^2\\ &=2^2 \times(36 + 81) = 2^2 \times 117 \end{aligned}.

\text{longest side}^2 \ne \text{first shorter side}^2 + \text{second shorter side}^2.

Hence, by the pythagorean theorem, these three sides don't form a right triangle.

<h3>Pair: 7, 9, 11</h3>

\text{longest side}^2 = 11^2 = 121.

<h3>\begin{aligned}&\text{first shortest side}^2 + \text{second shortest side}^2 \\ &= 7^2 + 9^2\\ &=49+ 81 = 130 \end{aligned}.</h3>

\text{longest side}^2 \ne \text{first shorter side}^2 + \text{second shorter side}^2.

Hence, by the pythagorean theorem, these three sides don't form a right triangle.

6 0
4 years ago
Is 0.11 * 10-6 in scientific notation? If not, explain.
Nonamiya [84]

Answer:

No, it is not in scientific notation. The first factor is not greater than or equal to 1.​

Step-by-step explanation:

Scientific notation is a method of writing numbers as the product of two factors where the first factor is a number whose absolute value is greater than or equal to 1 but less than 10.

8 0
4 years ago
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Phoenix [80]
72.25 - 51.5= <span>20.75
it is 20.75 feet longer</span>
3 0
3 years ago
How can you write 5/7 as the sum of fraction two different ways
telo118 [61]
One solution could be:

2/7 + 3/7 = 5/7

Another could be:

4/14 + 6/14 = 10/14 = 5/7
3 0
3 years ago
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Can someone please help me please
Anarel [89]

Answer:

it's answer is C. 12/10 = 4 / x

Step-by-step explanation:

As the triangles are similar so

4/12 = x/10

Or cross multiply then

12/10 = 4/x

Hope it will help :)

3 0
3 years ago
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