90 units needed 8units per case

Answers

Answer 1

Answer:

Answer: 90/8=11.25

Step-by-step explanation:

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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:

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A basketball player is 6ft 8in tall. A model of the basketball player is 5 inches tall. What is the scale factor

Answers

Answer:

1 ft. = 16 in.

Step-by-step explanation:

6 ft. 8 in. is 80 in.

then you would divide 80 by 5 to get 16.

not sure what scale factor you were looking for, so i did ft. to in.

not 100% sure though

best of luck!

add using the number line. −3+11 Drag and drop the word Sum to the correct value on the number line.

Answers

Answer:

the number line is attached below

Step-by-step explanation:

add using the number line. −3+11

Use the number line to add the numbers

Start at -3 on number line. then to add 11, move 11 units to the right

From -3, move 11 units the right. we reach at 8 on the number line

So -3+11 is 8

The number line is attached below

Answer:

-3 + 11 = 8

Step-by-step explanation:

Just plot 8 on the number line.

A hot air balloon descends to the ground. The function h(t) = 210 – 15t can be used to describe the altitude of the balloon as it approaches the ground. Which statement best describes the graph of the function that models the descent of the balloon?A) The graph is discrete because there cannot be fractional values for time.
B) The graph is discrete because there cannot be negative values for altitude.
C) The graph is continuous because there can be fractional values for time.
D) The graph is continuous because there can be negative values for altitude.

Answers

Answer:

Option c

Step-by-step explanation:

Given that a hot air balloon descends to the ground.

The function

$h(t) = 210 - 15t$

can be used to describe the altitude of the balloon as it approaches the ground.

Here t = time and h = height

Since t cannot be negative we can t starting from 0

t can take any fractional value and h is well defined for any value of t positive

So option c is right

C The graph is continuous because there can be fractional values for time

Adam is climbing up the stairs in a building. At a certain point, Adam starts counting the steps and when he reaches the last step, he has counted 56 steps. If he knows that there are a total of 100 steps in the building, how many steps did he climb before he started counting the steps?

Answers

Answer:

He climed 3 steps before he started counting the steps.

Step-by-step explanation:

pls mark me as a branliest

Answer:

The answer is he climbed 44 steps. Hope this helped :D

Step-by-step explanation:

What is the probability that a randomly drawn hand of four cards contains all black cards or all face cards? The probability is 6 Round to four decimal places as needed.)

Answers

Answer: 0.05699

Step-by-step explanation:

The total number of cards in a deck = 52

The total number of black cards = 26

Then , $\text{P(Black)}=(C(26,4))/(C(52,4))=0.00182842367\approx0.00183$

The total number of face cards = 12

Then , $\text{P(Face)}=(C(12,4))/(C(52,4))\approx0.05522$

The number of cards that are black and face cards = 6

Then , $\text{P(Black and Face )}=(C(6,4))/(C(52,4))\approx0.00006$

Then , the probability that a randomly drawn hand of four cards contains all black cards or all face cards is given by :-

$\text{P(Black or Face)}=\text{P(Black)+P(Face)-P(Black and Face)}\n\n\Rightarrow\ \text{P(Black or Face)}=0.00183+0.05522-0.00006\n\n\Rightarrow\ \text{P(Black or Face)}=0.05699$

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