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ratelena [41]
3 years ago
13

Suppose the 100 people in society X all know the same 10 facts, while the 10 people in society Z specialize, with each person kn

owing 5 unique facts as well as 5 facts also known by the other 9 members of the society. If the standard of living is roughly equivalent to the average number of social facts known per person, which society has a higher standard of living
Mathematics
1 answer:
Ivan3 years ago
5 0

Answer:

29 times

Step-by-step explanation:

Given :

Society X ;

Population = 100

Number of facts known = 10

Average fact known per person = known fact / population = 10 / 100 = 0.1

Society X:

Population = 19

Common fact known by 9 = 5

Specialized fact, known by 10 = 5 * 10 = 50

Total facts = common + specialized = 55

Average fact known per person = 55 / 19 = 2.8947368 fact per person

Number of times society Z is better :

2.8947368 / 0.1 = 28.947 times

Approximately 29 times

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Sveta_85 [38]

Trigonometric Formula's:

\boxed{\sf \ \sf \sin^2 \theta + \cos^2 \theta = 1}

\boxed{ \sf tan\theta = \frac{sin\theta}{cos\theta} }

Given to verify the following:

\bf (cos^2a) (2 + tan^2 a) = 2 - sin^2 a

\texttt{\underline{rewrite the equation}:}

\rightarrow \sf (cos^2a) (2 + \dfrac{sin^2 a}{cos^2 a} )

\texttt{\underline{apply distributive method}:}

\rightarrow \sf 2 (cos^2a) + (\dfrac{sin^2 a}{cos^2 a} ) (cos^2a)

\texttt{\underline{simplify the following}:}

\rightarrow \sf 2cos^2 a  + sin^2 a

\texttt{\underline{rewrite the equation}:}

\rightarrow \sf 2(1 - sin^2a )  + sin^2 a

\texttt{\underline{distribute inside the parenthesis}:}

\rightarrow \sf 2 - 2sin^2a   + sin^2 a

\texttt{\underline{simplify the following}} :

\rightarrow \sf 2 - sin^2a

Hence, verified the trigonometric identity.

7 0
2 years ago
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What is the set of all solutions to the equation \sqrt{x + 2}= {-x} x+2 ​ =−xsquare root of, x, plus, 2, end square root, equals
NARA [144]

Answer:

x = 2 or x = -1

Step-by-step explanation:

Given

\sqrt{x + 2}= {-x}

Required

Find the possible values fo x

\sqrt{x + 2}= {-x}

Square both sides

( \sqrt{x + 2})^2= ({-x})^2

x + 2 = x^2

Equate to 0

x^2 - x - 2 = 0

Expand

x^2 + x -2x - 2 = 0

Factorize:

x(x + 1) - 2(x + 1) = 0

(x -2)(x +1) = 0

Split:

x - 2 = 0 or x + 1 = 0

x = 2 + 0 or x = 0-1

x = 2 or x = -1

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3 years ago
What is the range of y = -xsquared2 - 2x + 3?
Flura [38]

Answer:

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3 years ago
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Solve for a.
FinnZ [79.3K]

Answer:

iii) a=3b/2

Step-by-step explanation:

7a-2b= 5a+b

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Find all solutions of the given system of equations and check your answer graphically. HINT [See Examples 2–5.] (If there is no
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The values of (x,y)=(4,4). In terms of x, the value y(x)=8-x, If the given equation is x-y=0 and x+y=8.

Step-by-step explanation:

The given is,

                              x-y=0...............................(1)

                              x+y=8...............................(2)

Step:1

          Solution can be obtained by Elimination method,

          Equation (1) is multiplied by (-1)           ( Eqn (1) × -1 )

                             -x+y=0..............................(3)

          Substrate the equation (1) and equation (3),

                              -x+y=0

                                x+y=8

         ( - )

         (-x-x)+(y-y)=(0-8)

                             (-2x)=-8

                                -2x = -8

         we can cancel the minus because it is available in both sides,

                                  2x=8

                                    x = \frac{8}{2}

                                     x = 4

        From the value of x, Equation (2) becomes,

                              x+y=8

                               4+y=8

                                     y = 8-x    (Value of y in terms of x)

        Where, x = 4

                                     y = 8-4        

                                     y =4

Step:2

       Check for solution,

                             x+y=8.....................................(2)

       Substitute the values of x and y,

                             4 + 4 = 8

                                   8 = 8

Result:

         The values of (x,y)=(4,4). In terms of x, the value y(x)=8-x, where x=4. If the given equation is x-y=0 and x+y=8.

         

5 0
3 years ago
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