3 years ago

Which of the following best describes the change in the mean when 1213 is included in the data set below?

Mathematics

1 answer:

Kruka [31]3 years ago

5 0

Answer:

Step-by-step explanation:

Given in the data set as

26, 34, 38, 49, 65, 76, 81

Sum = 369

No of entries = 7

Mean =52.71

When 1213 is included

New sum = 1582

No of entries =8

New mean = 197.75

Thus mean increases by 145.04

You might be interested in

Find an equation of the tangent plane to the given surface at the specified point. z = ln(x − 8y), (9, 1, 0)

Archy [21]

Answer:

x - 8y - z = 1

Step-by-step explanation:

Data provided according to the question is as follows

f(x,y) = z = ln(x - 8y)

Now the equation for the tangent plane to the surface

For z = f (x,y) at the point P $(x_0,y_0,z_0)$ is

$z - z_0 = f_x(x_0,y_0)(x-x_0) + f_y(x_0,y_0)(y-y_0)\\$

Now the partial derivatives of f are

$f_x(x,y) = \frac{1}{x-8y} \\\\f_y(x,y) = \frac{8}{x-8y} \\\\P(x_0,y_0,z_0) = (9,1,0)\\\\f_z(9,1,0) = (\frac{1}{x-8y})_^{(9,1,0)}$

$\\\\=\frac{1}{9-8}$

= 1

Now

$f_y(9,1,0)=(\frac{8}{x-8y})_{(9,1,0)}\\\\ = -\frac{8}{9 - 8}$

= -8

So, the tangent equation is

$z - 0 = 1\times (x - 9) -8\times (y - 1)$

Now after solving this, the following equation arise

z = x - 9 - 8y + 8

z = x - 8y - 1

Therefore

x - 8y - z = 1

4 0

2 years ago

4, 3, 2, 5, 6, 6, 10, 5, 6, 2, 3, 4, 6, 7, 14,5<br><br> 3. What is the mode(s) of the data set?

guapka [62]

Answer:

Step-by-step explanation:

6 shows up 4 times

5 0

3 years ago

Read 2 more answers

I used elimination to solve this system of equations and found out that y = 1. What does x equal?

stepan [7]

5x + 4y = 24
Substitute y for 1
5x + 4 = 24
5x =20
x = 4

5 0

2 years ago

Graph the function.<br> Y=[1/2x-1]

Scilla [17]

This should help you

3 0

2 years ago

A cube-shaped gift box has a volume of 8 cubic inches what is the side length of the box

mihalych1998 [28]

V = s^3

8 = s^3

8 = 2^3

s=2 inches

6 0

3 years ago

Read 2 more answers