Someone help me please

The diagram represents three statements about animals at the zoo: p, q, and r.

Butoxors [25]

Answer:

15 is the total number of animals for which (p ∨ q) ∧ r true.

Step-by-step explanation:

From the diagram it is clear that

p contains {2, 5, 8, 9}

q contains {2, 4, 7, 5}

r contains {2, 4, 6, 9}

p ∨ q is the union of p and q which include all the animals which are in p, in q, or in both p and q.

Note: p ∨ q can not have duplicate animals

So,

p ∨ q = {2, 4, 5, 7, 8, 9}

(p ∨ q) ∧ r contains the animals which need to be common in both (p ∨ q) and r.

As

p ∨ q = {2, 4, 5, 7, 8, 9}

r = {2, 4, 6, 9}

So,

(p ∨ q) ∧ r = {2, 4, 9}

As

$2 + 4 + 9 = 15$

Therefore, 15 is the total number of animals for which (p ∨ q) ∧ r true.

Keywords: union, and operation, or operation

Learn more about union, and operation, or operation from brainly.com/question/13637539

#learnwithBrainly

8 0

3 years ago

Read 2 more answers

PLEASE HELP....algebra 1

Studentka2010 [4]

The answer is f(x)=-2/3x-2 or the 3d down from the top

5 0

3 years ago

Alice and Bob are playing a game. Alice starts first. On Alice's turn, she flips a coin. If she gets a heads, she wins. If not,

trapecia [35]

Answer:

The probability that Alice wins the game= $\frac{1}{2}$

Step-by-step explanation:

We are given that Alice and Bob are playing a game .

We have to find the probability that Alice wins the game .

If Alice win when she gets head and lose when she gets tail.Bob wins when she gets tail and she lose when she gets head.

Total results in a coin=Head, tail=2

Number of head in a coin=1

Number of tail in a coin= 1

Probability is defined as the possibility of an event that occurred

$P(E)=\frac{Number\;of\;favourable\;cases}{total\;of\;cases}$

The probability that Alice wins the game= $\frac{Number\;of\;favourable\;cases}{Total\;number\;of\;cases}$

The probability that Alice wins the game= $\frac{number \;of \;heads}{Total\; results}$

The probability that Alice wins the game= $\frac{1}{2}$

8 0

3 years ago

Are all negative numbers really 0

algol13

Answer:

Thus every real number other than zero is either positive or negative, while zero itself is not considered to have a sign. Positive numbers are sometimes written with a plus sign in front, e.g. +3 denotes a positive three.

7 0

2 years ago

Simplify the function f(x)= 1/2 (27) 2x/3. Then determine the key aspects of the function

jeyben [28]

The given expression is:

$f(x)= \frac{1}{2}(27)^{ \frac{2x}{3} } \\ \\ 
f(x)= \frac{1}{2}((27)^{ \frac{2}{3} })^{x} \\ \\ 
f(x)= \frac{1}{2}(9)^{x}$

From the above equation, we can answer all the 4 questions.

a) Initial value occurs when x = 0

So,

$f(0)= \frac{1}{2}(9)^{0}= \frac{1}{2}$

So, the Initial value of the function is 1/2.

b) Simplified Base:
The base of an exponential function is the term which contains the exponent.
From the simplified equation, we can see that the base has been simplified and is equal to 9.

So, the simplified base is 9

c) Domain:
From the equation we can see that there is no such value which makes the function undefined. So all reall numbers are included in the Domain.

So, Domain is Set of All real numbers.
In Interval notation this can be expressed as: (-∞,∞)

d) Range:
Range is the set of all y values that a function can take. Since the graph is not shifted vertically up or down, the range will be the set of all real numbers greater than zero.

So, Range is equal to All real numbers greater than 0.
In Interval notation, this can be expressed as (0,∞)

4 0

3 years ago

Read 2 more answers