MATHEMATICS COLLEGE

victor purchases 3 movie tickets for18.75$ at the movie hut which theater sells tickets for the same price per ticket

Answers

Answer 1

Answer: What do you need help on?

Answer 2

Answer:

Answer:

6.25

Step-by-step explanation:

price per ticket= 18.75/3

=6.25

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Does funko pop do custom orders?

Answers

yes they do on their website!!

Answer:

yeah i think so

HELP HELP 20 Points

Geometry

Answers

270° → $(3π)/(2)$ ≈ 4.7

360° → $2π$ ≈ 6.3

60° → $(π)/(3)$ ≈ 1.1

45° → $(π)/(4)$ ≈ 0.8

135° → $(3π)/(4)$ ≈ 2.4

225° → $(5π)/(4)$ ≈ 3.9

Solve the following quadratic equation. (x+12)^2=1 A. x = 11 and x = 13 B. x = -11 and x = -13 C. x = -11 and x = 13 D. x = 11 and x = -13Will make brainiest!!!

Answers

Answer:

Step-by-step explanation:

(x+12)^2=1

(x+12)= +or - 1

when

x+12=1

x=1-12 =-11

when

x+12=-1

x=-1-12 =-13

then

x=-11 and x= -13

Answer:

Step-by-step explanation:

Plato

Let P be the relation defined on the set of all American citizens by xPy if and only if x and y are registered for the same political party. Not being registered or being registered as an independent also counts as a registration. Check all properties that P has.anti-symmetric

reflexive

transitive

symmetric

Answers

Answer:

This relation is symmetric, reflexive and transitive, but not anti-symmetric. Therefore it is an equivalence relation.

Step-by-step explanation:

Let's first prove that it is reflexive:

$\forall x : xRx \quad ?$

The explanation is as follows: let x be some american citizen, $xRx$ means that this person x is registered for the same political party as himself. This is obviously truth, because we are talking about the same person.

Next comes symmetry:

$xRy \iff yRx$

What does this statement mean? It means that if a is in the same party as b, then b is in the same party as a, and viceversa. This must be true, for the statement $xRy$ tells us that x is in the same party as y, which can also be stated as "x and y are both in the same party". This last statement also implies that y is in the same party as x, which is written as: $yRx$ . That proves that:

$xRy \implies yRx$

And the converse follows from the same reasoning.

Now for Transitivity:

$aRb \, \wedge bRc \implies aRc$

What this statement means in this context is that if a,b and c are american citizens, and we have that it is simultaneously true that both a and b are in the same party, and that also b and c are in the same party, then a and c must be also in the same party. This is true because parties are exclusive organisations, you cannot be both a democrat and a republican at the same time, or an independent and a republican. Therefore if a and b belong to the same party, and b and c also belong to the same party, it must be true that a belongs to the same party as b, and the same holds for c, therefore a and c belong to the same party (b's party). which we write as: $aRc$ . Thus it is true that R is a transitive relation.

Finally, Antisymmetry is NOT a property of this relation.

Let's see why, antisymmetry means:

$xRy \wedge x \neq y \implies \neg yRx$

That would mean that if x and y are two distinct american citizens $x\neq y$ , then if x is in the same party as y ( $xRy$ ), then it is not true that y is in the same party as x! ( $\neg yRx$ )

Clearly this isn't true, for example if x and y are two distinct democratic party members, we can say that $xRy$ that is, x and y are registered for the same party, and given that this relation is symmetric, as we have shown, we can also say $yRx$ , but this comes in conflict with the definition of antisymmetry. Thus we conclude that the relation R is not antisymmetric.

On a final note, it's interesting to point out that reflexivity, symmetry and transitivity are the requirements for a relation to be an equivalence relation, which is a very useful concept in maths.

Final answer:

The relation P defined on the set of all American citizens by xPy is reflexive and symmetric, but not transitive.

Explanation:

The relation P defined on the set of all American citizens by xPy if and only if x and y are registered for the same political party has the properties of reflexivity, symmetry, but not transitivity.

Reflexivity means that every element is related to itself. In this case, every American citizen is registered for the same political party as themselves, including those who are registered as independent or not registered at all.

Symmetry means that if x is related to y, then y is related to x. In this case, if two American citizens are registered for the same political party, they are related to each other.

However, the relation P does not have the property of transitivity. Transitivity means that if x is related to y and y is related to z, then x is related to z. In the case of the relation P, if two American citizens are registered for the same political party and another two American citizens are registered for the same political party, it is not necessarily true that the first two citizens are also registered for the same political party as the second two citizens.

Learn more about Relation properties here:

brainly.com/question/25558669

#SPJ3

HELP PLEASE!!!!! WILL MARK AS BRAINLIEST!!!!

Answers

ASA we need a second angle that is next to the side

SAS we need a side next to the angle

Choice B

5. The length of similar components produced by a company are approximated by a normal distribution model with a mean of 5 cm and a standard deviation of 0.02 cm. If a component is chosen at random a) what is the probability that the length of this component is between 4.98 and 5.02 cm

Answers

Answer:

the probability that he length of this component is between 4.98 and 5.02 cm is 0.682 (68.2%)

Step-by-step explanation:

Since the random variable X= length of component chosen at random , is normally distributed, we can define the following standardized normal variable Z:

Z= (X- μ)/σ

where μ= mean of X , σ= standard deviation of X

for a length between 4.98 cm and 5.02 cm , then

Z₁= (X₁- μ)/σ = (4.98 cm - 5 cm)/0.02 cm = -1

Z₂= (X₂- μ)/σ = (5.02 cm - 5 cm)/0.02 cm = 1

therefore the probability that the length is between 4.98 cm and 5.02 cm is

P( 4.98 cm ≤X≤5.02 cm)=P( -1 ≤Z≤ 1) = P(Z≤1) - P(Z≤-1)

from standard normal distribution tables we find that

P( 4.98 cm ≤X≤5.02 cm) = P(Z≤1) - P(Z≤-1) = 0.841 - 0.159 = 0.682 (68.2%)

therefore the probability that he length of this component is between 4.98 and 5.02 cm is 0.682 (68.2%)

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