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Ber [7]
3 years ago
5

Two bags each contain tickets numbered 1 to 10. John draws a ticket from each bag five times, replacing the tickets after each d

raw. He records the number on the ticket for each draw from both the bags: Bag 1 Bag 2 Draw 1 2 4 Draw 2 4 5 Draw 3 1 3 Draw 4 6 4 Draw 5 7 9 For the the first bag, the mean is 4 and the standard deviation is 2.5.
Mathematics
1 answer:
Serjik [45]3 years ago
3 0

The amount or level of relationship between the tickets in the bags is

described by the correlation coefficient.

Response:

  • The correlation coefficient, <em>r</em> is approximately <u>0.75</u>

<u />

<h3>Method by which the correlation coefficient is obtained</h3>

Required:

Based on a similar question online, the value of the correlation coefficient, <em>r</em>, is to be determined.

The table of values is presented as follows;

\begin{tabular}{c|c|c|}\underline{Draw}& \underline{ Bag 1}& \underline{Bag 2}\\Draw 1&2&4\\Draw 2&4&5\\Draw 3 &1&3\\Draw 4&6&4\\Draw 5&7&9\end{array}\right]

The mean of the first bag, \overline{x}_1 = 4

Standard deviation of the first bag, s₁ = 2.5

Mean of the second bag, \mathbf{\overline x_2} = 5

Standard deviation of the second bag, s₂ = 2.3

The sample size from each bag, <em>n</em> = 5

The given regression formula is presented as follows;

\displaystyle r = \mathbf{ \frac{1}{n - 1} \cdot \sum \left(\frac{x - \overline x}{s_x} \right) \cdot \left(\frac{y - \overline{y}}{s_y} \right)}

By calculation using the above data in the table on MS Excel, we have;

\overline x_1 = 4, s₁ = 2.54951

\overline x_2 = 5, s₂ = 2.345208

The following table of values can be calculated;

\begin{array}{|c|c|c|c|}&\dfrac{x - \overline x_i}{s_x} & \dfrac{y - \overline y_i}{s_y} & \left(\dfrac{x - \overline x_i}{s_x} \right)\times \left(\dfrac{y - \overline y_i}{s_y} \right) \\&&& \\i = 1&-0.78446&-0.4264&0.334497\\i = 2&0&0&0\\i = 3&-1.1767&-0.8528&1.00349\\i = 4 &0.784464&-0.4264&-0.3345\\i = 5&1.176697&1.705606&\underline{2.006981}\\&&&\\ \  \sum ()&&&3.010471\end{array}\right]

Therefore;

\displaystyle \sum \left(\frac{x - \overline x}{s_x} \right) \cdot \left(\frac{y - \overline{y}}{s_y} \right) = \mathbf{ 3.010471}

\displaystyle r = \frac{1}{5-1} \times 3.010471 = 0.752618

Rounding off to the nearest hundredth, we have;

  • The correlation coefficient, r ≈ <u>0.75</u>

<em>Possible question options are;</em>

  • <em>0.56</em>
  • <em>0.50</em>
  • <em>0.70</em>
  • <em>0.75</em>

Learn more about correlation coefficient here:

brainly.com/question/14753067

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Sonya's backpack can carry a maximum mass of 12 kg. Her backpack is currently carrying 3/4 of that mass
Kitty [74]

Answer:

12 notebooks

Step-by-step explanation:

3/4 = 9kg =3kg left

250g=4 per kg

3 x 4= 12

7 0
2 years ago
Find an equation of the tangent plane to the surface z=ln(x-6y) at the point(7,1,0)
expeople1 [14]

The tangent plane equation of tangent plane is

z = x - 6y -1

This is further explained below.

What is the equation of the tangent plane to the surface z=ln(x-6y) at the point(7,1,0)?

Generally, Given surface is z = ln(x − 6y) ,

Given point is (x_0, y_0 , z_0) = (7, 1, 0)

partially differentiating with respect to x

== >zx = [1/(x - 6y)] (1) = 1/(x - 6y)

zx (7 , 1 , 0) = 1/(7 - 6(1)) = 1

Partially differentiating with respect to y

zy = [1/(x - 6y)] (-6)

zy = -6/(x - 6y)

zy(7 , 1 , 0) = -6/(7 - 6(1)) = -6

Equation of tangent plane is z - z_0 = zx(x -x_0) + zy(y - y_0)

z - 0 = 1(x - 7) + (-6)(y - 1)

z = x - 7 -6y + 6

z = x - 6y -1

In conclusion, equation of tangent plane is z = x - 6y -1

Read more about the tangent plane

brainly.com/question/10542585

#SPJ4

8 0
2 years ago
A cube block has sides 8cm long. A cylindrical hole of radius 3.6 is drilled through the block. Find the volume of the block tha
djverab [1.8K]

Answer:

186.45 cm^3

Step-by-step explanation:

Given data

Side lenght of cube block= 8cm

Radius of cylindrical hole= 3.6cm

Volume of entire Shape= l^3

Volume of entire Shape= 8*8*8

Volume of entire block= 512cm^3

Volume of cylindrical hole= πr^2h

Volume of cylindrical hole= 3.14*3.6^2*8

Volume of cylindrical hole= 3.14*12.96*8

Volume of cylindrical hole= 325.55cm^3

Hence the volume of the block

=volume of entire shape- volume of cylinder

=512-325.55

=186.45 cm^3

7 0
3 years ago
HELP ME PLEASSDJDJXKKCKCKC
attashe74 [19]

the answers is

1 Inch = 4 Feet


Here is the explanation -


the side of square = 12


length of Ground - 48


ratio of length = 12 /48


= 1/4


1 : 4

bye

7 0
3 years ago
Help!! giving brainiest!!
Luda [366]

Answer:

The school is closest

Step-by-step explanation:

Plot the point of the library and measure the distance from the library to each location.

7 0
3 years ago
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