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sashaice [31]
3 years ago
7

Which phrase best describes a theorem in an axiomatic system? A.) the accepted meaning of a term B.) an assumption made with lit

tle supporting evidence C.) an accepted fact that cannot be proven D.) a statement proven to be true using logic E.) a list of geometric facts
Mathematics
2 answers:
SOVA2 [1]3 years ago
8 0

Answer:

D

Step-by-step explanation:

In Maths, axioms are basically set of propositions from which we can derive true statements from logic. Then these statements are known as theorems.

Hence, defining theorem in an axiomatic way means that a statements that we derive from axioms (propositions) using logic and that is proven to be true.

From the answer choices, we see D goes with this, hence D is the correct answer.

Kay [80]3 years ago
6 0

Answer:

i took the test it is D plato to

Step-by-step explanation:

You might be interested in
This question has 2 parts.
Liula [17]

Answer:

um well i can do part A

Step-by-step explanation:

its 6/24 which equals 1/4 yards

3 0
3 years ago
In a chemical plant, 24 holding tanks are used for final product storage. Four tanks are selected at random and without replacem
Damm [24]

Answer:

a) P(A) = 0,4607     or   P(A) = 46,07 %

b) P(B) = 0,7120   or 71,2 %

c) P(C) = 0,2055  or P(C) = 20,55 %

Step-by-step explanation:

We will use two concepts in solving this problem.

1.- The probability of an event (A) is for definition:

P(A) = Number of favorable events/ Total number of events FE/TE

2.- If A and B are complementary events ( the sum of them is equal to 1) then:

P(A) = 1 - P(B)

a) The total number of events is:

C ( 24,4) = 24! / 4! ( 24 - 4 )!    ⇒  C ( 24,4) = 24! / 4! * 20!

C ( 24,4) = 24*23*22*21*20! / 4! * 20!  

C ( 24,4) = 24*23*22*21/4*3*2

C ( 24,4) = 24*23*22*21/4*3*2    ⇒  C ( 24,4) =  10626

TE = 10626

Splitting the group of tanks in two 6 with h-v  and 24-6 (18) without h-v

we get that total number of favorable events is the product of:

FE = 6* C ( 18, 3)  = 6 * 18! / 3!*15!  =  18*17*16*15!/15!

FE =  4896

Then P(A) ( 1 tank in the sample contains h-v material is:

P(A) = 4896/10626

P(A) = 0,4607     or   P(A) = 46,07 %

b) P(B) will be the probability of at least 1 tank contains h-v

P(B) = 1 - P ( no one tank with h-v)

Again Total number of events is 10626

The total number of favorable events for the ocurrence of P is C (18,4)

FE = C (18,4) = 18! / 14!*4! = 18*17*16*15*14!/14!*4!

FE = 18*17*16*15/4*3*2  = 3060

Then P = 3060/10626

P = 0,2879

And the probability we are looking for is

P(B) = 1 - 0,2879

P(B) = 0,7120   or 71,2 %

c) We call P(C) the probability of finding exactly 1 tank with h-v and t-i

having 4 with t-i tanks is:

reasoning the same way but now having 4 with t-i (impurities) number of favorable events is:

FE = 6*4* C(14,2) = 24 * 14!/12!*2!

FE = 24* 14*13*12! / 12!*2

FE = 24*14*13/2    ⇒  FE = 2184

And again as the TE = 10626

P(C) = 2184/ 10626

P(C) = 0,2055  or P(C) = 20,55 %

5 0
3 years ago
On the day before an election in a large city, each person in a random sample of 1,000 likely voters is asked which candidate he
gayaneshka [121]

Answer:

It's not possible to reach a conclusion about who will vote candidate Taylor because this is a random sample and not a population census or experiment.

Step-by-step explanation:

It is impossible to reach a conclusion about the proportion of all likely voters who plan to vote for candidate Taylor because the 1,000 likely voters in the sample represent only a small fraction of all likely voters in a large city.

6 0
3 years ago
Read 2 more answers
Given P(A)=0.5P(A)=0.5, P(B)=0.71P(B)=0.71 and P(A\cap B)=0.415P(A∩B)=0.415, find the value of P(A|B)P(A∣B), rounding to the nea
Marysya12 [62]

Answer:

0.585

Step-by-step explanation:

P(A|B) = P(A∩B) / P(B)

P(A|B) = 0.415 / 0.71

P(A|B) = 0.585

8 0
3 years ago
Which expression is the sun of cubes?
Nina [5.8K]

Answer:

Step-by-step explanation: We have been given 4 expressions. We are asked to choose the expression that represents sum of cubes.

We know that sum of cubes is in form .

We can see that 1st and 2nd option has a negative sign. Therefore, these options cannot be sum of cubes.

Let us check 3rd and 4th options one by one.

We can rewrite our expression by writing terms as cubes:

Therefore, expression  is a sum of cubes.

In 4th expression, we can see that . We cannot represent it as a cube. Similarly, we cannot represent  as a cube. Therefore, 4th expression is not correct.

7 0
3 years ago
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