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Katena32 [7]
2 years ago
11

Ollow the steps below to find the mean for the set of data. Use the work shown to help you.

Mathematics
2 answers:
Elza [17]2 years ago
7 0

Answer:

7

Step-by-step explanation:

63/9 = 7

Tom [10]2 years ago
6 0

Answer:

7

Step-by-step explanation:

To find the mean, add up all the values, then divide by the number of values.

1. Add the values

6 + 5 + 8 + 5 + 9 + 6 + 7 + 5 + 12 = 63

2.Divide by the number of values

9 values

63/9

7

The mean of the data set is 7

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Adjective: Made up of various parts or elements
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If A = {1, 2, 3} and B = {1, 2, 2, 3}, is B ⊆ A? If so, is A = B?
Serjik [45]

Answer:

yes, yes

Step-by-step explanation:

B={1,2,3} it doesn't matter if it has ten 2's or one!

so A=B and A⊆B

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Write the linear function y -
anzhelika [568]

Answer:

y=x+1

Step-by-step explanation:

please get some help

4 0
3 years ago
I need to find the surface area and volume of all three figures. If you could provide what equations you used to I will be grate
Margarita [4]

Answer:

Part 1) <em>Sphere</em> The surface area is equal to SA=196\pi\ m^{2} and the volume is equal to V=\frac{1,372}{3}\pi\ m^{3}

Part 2) <em>Cone</em> The surface area is equal to SA=(16+4\sqrt{65})\pi\ units^{2} and the volume is equal to V=\frac{112}{3}\pi\ units^{3}

Part 3) <em>Triangular Prism</em> The surface area is equal to SA=51.57\ mm^{2} and the volume is equal to V=17.388\ mm^{3}

Step-by-step explanation:

Part 1) The figure is a sphere

a) Find the surface area

The surface area of the sphere is equal to

SA=4\pi r^{2}

we have

r=14/2=7\ m ----> the radius is half the diameter

substitute

SA=4\pi (7)^{2}

SA=196\pi\ m^{2}

b) Find the volume

The volume of the sphere is equal to

V=\frac{4}{3}\pi r^{3}

we have

r=14/2=7\ m ----> the radius is half the diameter

substitute

V=\frac{4}{3}\pi (7)^{3}

V=\frac{1,372}{3}\pi\ m^{3}

Part 2) The figure is a cone

a) Find the surface area

The surface area of a cone is equal to

SA=\pi r^{2} +\pi rl

we have

r=4\ units

h=7\ units

Applying Pythagoras Theorem find the value of l (slant height)

l^{2}=r^{2} +h^{2}

substitute the values

l^{2}=4^{2} +7^{2}

l^{2}=65

l=\sqrt{65}\ units

so

SA=\pi (4)^{2} +\pi (4)(\sqrt{65})

SA=16\pi +4\sqrt{65}\pi

SA=(16+4\sqrt{65})\pi\ units^{2}

b) Find the volume

The volume of a cone is equal to

V=\frac{1}{3}\pi r^{2}h

we have

r=4\ units

h=7\ units

substitute

V=\frac{1}{3}\pi (4)^{2}(7)

V=\frac{112}{3}\pi\ units^{3}

Part 3) The figure is a triangular prism

a) The surface area of the triangular prism is equal to

SA=2B+PL

where

B is the area of the triangular base

P is the perimeter of the triangular base

L is the length of the prism

<em>Find the area of the base B</em>

B=\frac{1}{2} (2.7)(2.3)=3.105\ mm^{2}

<em>Find the perimeter of the base P</em>

P=2.7*3=8.1\ mm

we have

L=5.6\ mm

substitute the values

SA=2(3.105)+(8.1)(5.6)=51.57\ mm^{2}

b) Find the volume

The volume of the triangular prism is equal to

V=BL

where

B is the area of the triangular base

L is the length of the prism

we have

B=3.105\ mm^{2}

L=5.6\ mm

substitute

V=(3.105)(5.6)=17.388\ mm^{3}

5 0
3 years ago
Find the 7th term of the geometric sequence whose common ratio is 1/2 and whose first term is 5
Alchen [17]

Answer:

Step-by-step explanation:

We are given that:

First term (a) = 5

common ratio (r) =1/3

So, the t of 7 term is 5*1/729=5/729

8 0
2 years ago
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