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atroni [7]
2 years ago
11

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:
MakcuM [25]2 years ago
8 0
Given a data on the relationship between the number of students that have ever gone snowboarding and the number of students that own a skateboard.

Given from the survey that <span>35 of the 99 students who own a skateboard have snowboarded and 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.

We represent the above information in a two</span> 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.
Ahat [919]2 years ago
8 0
I believe the answer is number three 
You might be interested in
Object A travels in the +x-direction before hitting a stationary object B. Afterwards, object AÍs x-momentum is 5.7 _ 104 kilogr
ANEK [815]
Below are the choices that can be found from other sources:

A. 42 
<span>B. 45 </span>
<span>C. 47 </span>
<span>D. 48 </span>
<span>E. 49
</span>
The answer is C or 47. The object’s resultant angle of motion with the +x-axis after the collision is  47. The reason for that is f<span>rom object A’s x-momentum is 5.7 × 104 kilogram meters/second and its y-momentum is 6.2 × 104 kilogram meters/second, we know that tan of the angle from the x-axis is 6.2 / 5.7 = 1.09 and acrtan 1.09 = 47.4</span>
8 0
2 years ago
Read 2 more answers
The parallel dotplots below display the girths (belly
liraira [26]

Answer:

The standard deviation for the distribution of girths is

about the same for both male and female pigs.

Step-by-step explanation:

Step 1

We will interprete the dotplots

For the Male pigs

24, 26, 26, 26, 26, 26, 26, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 30, 30, 30, 30, 30, 30, 32

Range

Maximum value - Minimum value

= 32 - 24

= 8

IQR = Interquartile range = Q3 - Q1

Q1 formula = 1/4(n + 1)th

=n = 25

= 1/4(25 + 1)

= 1/4(26)

= 26/4

= 6.5

This mean the value is between the 6th and 7th value

6th value = 26

7th value = 26

Q1 = 26 + 26/2

Q1 = 26

Q3

Q3 formula = 3/4(n + 1)th

=n = 25

= 3/4(25 + 1)

= 3/4(26)

= 78/4

= 19.5

This mean the value is between the 19th and 20th value

19th value = 30

20th value = 30

Q3= 30+ 30/2

= 30

IQR = 30 - 26

= 4

Standard deviation

Mean

First we find the mean

= 24+ 26+26+ 26+ 26+ 26+26+28+ 28+ 28+ 28+28+ 28+ 28+28+ 28+28+28+30+ 30+30+ 30+30+30+32/28

= 700/25

= 28

Standard deviation Formula = √(x - mean)²/n - 1

= √[(24-28)² + (26- 28)² + (26 -28)² + (26 - 28)² +................ (32 - 28)²]/25 - 1

= √(16 + 4 + 4+ 4+ 4+4+ 4+0+ 0+ 0+ 0+0+ 0+ 0+ 0+0+0+0+ 4+ 4+4+4+4+ 4+ 16)/25 - 1

= √80/25 - 1

=√3.333333333

1.825741858

Female Pigs

21, 23, 23, 23,23,23,23,25, 25, 25, 25, 25, 25, 25, 25, 25, 25,25, 27, 27, 27, 27,27, 27, 29

Range:

Maximum value - Minimum value

= 29 - 21

8

IQR

IQR = Interquartile range = Q3 - Q1

Q1 formula = 1/4(n + 1)th

=n = 25

= 1/4(25 + 1)

= 1/4(26)

= 26/4

= 6.5

This mean the value is between the 6th and 7th value

6th value = 23

7th value = 23

Q1 = 23 + 23/2

Q1 = 23

Q3

Q3 formula = 3/4(n + 1)th

=n = 25

= 3/4(25 + 1)

= 3/4(26)

= 78/4

= 19.5

This mean the value is between the 19th and 20th value

19th value = 27

20th value = 27

Q3= 27+ 27/2

Q3 = 27

IQR = 27 - 23

= 4

First we find the Mean

=(21+23+23+23+23+23+23+25+ 25+ 25+ 25+25+ 25+ 25+ 25+25+25+25+27+27+ 27+27+27+ 27+29)/25

= 625/25

= 25

Standard deviation Formula = √(x - mean)²/n - 1

= √[(21-25)² + (23- 25)² + (23 -25)² + (23 - 25)² +................ (29 - 25)²]/25 - 1

= √(16 + 4 + 4+ 4+ 4+4+ 4+0+ 0+ 0+ 0+0+ 0+ 0+ 0+0+0+0+ 4+ 4+4+4+4+ 4+ 16)/25 - 1

= √80/25 - 1

=√3.333333333

1.825741858

Looking at the calculation above and comparing both the girths from the male and female

We can conclude that: The standard deviation for the distribution of girths is

about the same for both male and female pigs which is 1.825741858

5 0
2 years ago
Calculate the expected gain or loss for Stock ABC. Lose $25 Gain $5 Gain $45 Stock ABC 40% | 15% | 45% Stock JKL| 15% | 65% | 20
Rainbow [258]

Answer:

$11

Step-by-step explanation:

\left\begin{array}{c|ccc}&$Lose \$25&$Gain \$5&$Gain \$45\\$Stock ABC&40\%&15\%&45\%\end{array}\right

We want to calculate the expected gain or loss of Stock ABC with the probabilities above.

Note that loss is written in negative.

E$xpected Value =$ (-25  \times 40\%)+(5  \times 15\%) + (45  \times  45\%)\\=(-25 \times 0.4)+(5 \times 0.15)+(45 \times 0.45)\\=-10+0.75+20.25\\=\$11

Stock ABC has an expected gain of $11.

8 0
2 years ago
I need the answers thanks :)
bogdanovich [222]
1.) y=3
2.) y=13
     2y + y = 3y , 22+17= 39
     3y = 39 , divide 3 on each side (which cancels out the 3 with the y which leaves you with y)
3.) y=10
     3y - y = 2y , 35-15= 20
     2y=20 , do the same as # 2.
4.) y=4
     9y - 5y = 4y , 48-32= 16
     4y=16, do the same as #2 & #3
5.) (4,5)
     x + 3y = 19
   2x - 3y = -7
    solve for x first ; x + 2x= 3x , 19-7 = 12; 3x = 12 ; divide 3 ; x= 4. You know have to make the x's cancel out. so I will multiply -2 on the first equation. -2(x+3y=19)
     -2x - 6y = -38
      2x - 3y = -7
    Now solve for y ; -6y + -3y = -9y , -38 + -7 = -45; -9y=-45 ; divide by -9 (since they are both negative your answer will be positive) ; y= 5
6.) (6,8)
   x + 4y = 38
  -x - 3y = -30
solve for y first ; 4y - 3y = y , 38-30 = 8; y=8 (that simple!) Now you need to find a common multiple for 4 & 3 which is 12. So you will have to multiply each equation by either 4 or 3.
  (x + 4y = 38)*3      =     3x + 12y = 114         
 (-x - 3y = -30)*4     =     -4x - 12y = -120
solve for x ; 3x - 4x = -x , 114-120= -6 ; -x=-6. Since the x has a negative that means there's still a 1 there so -1x=-6 ; you will need to divide this which makes the 6 a positive; x=6


8 0
2 years ago
Find the area of the part of the sphere x2 + y2 + z2 = 100z that lies inside the paraboloid z = x2 + y2.
vekshin1
x^2+y^2+z^2=100z\iff x^2+y^2+(z-50)^2=50^2

The surface of interest can be parameterized by

\mathbf r(u,v)=\begin{cases}x(u,v)=50\cos u\sin v\\y(u,v)=50\sin u\sin v\\z(u,v)=50(\cos v+1)\end{cases}

with 0\le u\le2\pi and 0\le v\le\arccos\dfrac{49}{50}.

The area of the surface S is given by the surface integral

\displaystyle\iint_S\mathrm dA=\iint_T\left\|\mathbf r_u\times\mathbf r_v\right\|\,\mathrm du\,\mathrm dv

We have

\|\mathbf r_u\times\mathbf r_v\|=50^2\sin v

so the area is given by the double integral

\displaystyle50^2\int_{u=0}^{u=2\pi}\int_{v=0}^{v=\arccos(49/50)}\sin v\,\mathrm dv\,\mathrm du=100\pi
6 0
2 years ago
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