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Vitek1552 [10]
3 years ago
6

25 points!! Can postulates always be proven true?

Mathematics
1 answer:
pav-90 [236]3 years ago
8 0

Answer:

The basic answer to your question is that we have to start somewhere.

The essence of mathematics (in the sense the Greeks introduced to the  

world) is to take a small set of fundamental "facts," called  

postulates or axioms, and build up from them a full understanding of  

the objects you are dealing with (whether numbers, shapes, or  

something else entirely) using only logical reasoning such that if  

anyone accepts the postulates, then they must agree with you on the  

rest.

It can sometimes be proven.

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What is the answer please help
satela [25.4K]

0.9 seconds is the correct answer

7 0
3 years ago
Each year, more than 2 million people in the United States become infected with bacteria that are resistant to antibiotics. In p
Bingel [31]

Answer:

A)

<u><em>Null hypothesis:H₀:-</em></u><em> There is no significant difference between in drug resistance between the two states</em>

<u><em>Alternative Hypothesis :H₁:</em></u>

<em>There is  significant difference between in drug resistance between the two states</em>

<em>B)</em>

<em>The calculated value Z =  2.7261 > 2.054 at 0.02 level of significance</em>

<em> Rejected H₀</em>

<em>There is a significant difference in drug resistance between the two states.</em>

C)

P - value = 0.0066

<em>P - value = 0.0066 < 0.02</em>

<em>D) </em>

<em>1) Reject H₀   </em>

<em>There is a significant difference in drug resistance between the two states.</em>

Step-by-step explanation:

<u><em>Step(i):-</em></u>

<em>Given first sample size n₁ = 174</em>

Suppose that, of 174 cases tested in a certain state, 11 were found to be drug-resistant.

<em>First sample proportion </em>

                    p_{1} = \frac{x_{1} }{n_{1} } = \frac{11}{174} = 0.0632

<em>Given second sample size n₂ = 375</em>

Given data  Suppose also that, of 375 cases tested in another state, 7 were found to be drug-resistant

<em>Second sample proportion</em>

<em>                  </em>p_{2} = \frac{x_{2} }{n_{2} } = \frac{7}{375} = 0.0186<em></em>

<u><em>Step(ii):-</em></u>

<u><em>Null hypothesis:H₀:-</em></u><em> There is no significant difference between in drug resistance between the two states</em>

<u><em>Alternative Hypothesis :H₁:</em></u>

<em>There is  significant difference between in drug resistance between the two states</em>

<em>Test statistic</em>

<em>           </em>Z = \frac{p_{1}-p_{2}  }{\sqrt{PQ(\frac{1}{n_{1} }+\frac{1}{n_{2} } ) } }<em></em>

<em>        Where </em>

<em>         </em>P = \frac{n_{1}p_{1} +n_{2} p_{2}  }{n_{1} +n_{2} }<em></em>

<em>        </em>P = \frac{174 (0.0632) + 375 (0.0186) }{174+375 } =  \frac{17.9718}{549} = 0.0327<em></em>

<em>       Q = 1 - P = 1 - 0.0327 = 0.9673</em>

<u><em>Step(iii):-</em></u>

<em></em>

<em>  Test statistic</em>

<em>           </em>Z = \frac{p_{1}-p_{2}  }{\sqrt{PQ(\frac{1}{n_{1} }+\frac{1}{n_{2} } ) } }<em></em>

<em>          </em>Z = \frac{0.0632-0.0186  }{\sqrt{0.0327 X 0.9673(\frac{1}{174 }+\frac{1}{375 } ) } }<em></em>

<em>       Z  =   2.7261</em>

<em>   </em>

<em>Level of significance = 0.02 or 0.98</em>

<em>The z-value = 2.054</em>

<em>The calculated value Z =  2.7261 > 2.054 at 0.02 level of significance</em>

<em>    Reject H₀   </em>

<em>There is a significant difference in drug resistance between the two states.</em>

 <u><em>P- value </em></u>

<em>P( Z > 2.7261) = 1 - P( Z < 2.726)</em>

<em>                         = 1 - ( 0.5 + A (2.72))</em>

<em>                         = 0.5 - 0.4967</em>

<em>                          = 0.0033</em>

we will use two tailed test

<em>2 P( Z > 2.7261)  = 2 × 0.0033</em>

<em>                            = 0.0066</em>

<em>P - value = 0.0066 < 0.02</em>

<em>  Reject H₀   </em>

<em>There is a significant difference in drug resistance between the two states.</em>

8 0
3 years ago
4x-y=20 and -2x-2y=10
lara31 [8.8K]

You can use Substitution to solve this problem:


4x-y=20

-y=-4x+20

y=4x-20


Now you have two equations, and you use the first one to substitute into the second one.


y=4x-20     and     -2x-2y=10


-2x-2(4x-20)=10

-2x-8x+40=10

-10x+40=10

-10x=-30

-x=-3

x=3


Now that we have figured out what x is, we can substitute x in to one of the equations to figure out y.


4x-y=20       x=3

4(3)-y=20

12-y=20

-y=8

y=-8



<em><u>So your answer would be x=3 and y=-8</u></em>

6 0
3 years ago
Which is the product of 15 and 5/12 ?
zysi [14]

Answer:

6 1/4

Step-by-step explanation:

15 x 5/12 = 15 x 5/12 = 75/12

75/12= 6 3/12 = 6 1/4

4 0
2 years ago
Let f(x) = x ^ 2 - x - 2 and g(x) = - 6x - 8. Find g(2) and f(g(2)). Mathfrak g (2)= Box (Simplify your answer. ) f(g(2)) = ( Si
jek_recluse [69]

The value of the function f(g) after simplifying and putting 2 in place of <em>x</em> is -20 and the value of f(g(2)) is 418.

<h3>What is composite function?</h3>

When a function is written inside the another function, then such function is called the composite function.

The first function given in the problem is,

f(x) = x^2 - x - 2

The second function given,

g(x) = - 6x - 8

To find out the value of g(2), put the 2 on place of variable x in the above equation as,

g(2) = - 6(2) - 8\\g(2)=-12-8\\g(2)=-20

The composite function f(g(x)) can be given as,

f(g(2))= (-20)^2 - (-20) - 2\\f(g(2))=418

Thus, the value of the function f(g) after simplifying and putting 2 in place of <em>x</em> is -20 and the value of f(g(2)) is 418.

Learn more about the composite function here:

brainly.com/question/10687170

5 0
2 years ago
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