A survey of 140 pet owners yielded the following information: 47 own fish; 53 own a bird; 50 own a cat; 68 own a dog; 2 own all four; 11 own only fish; 14 own only a bird; 10 own fish and a bird; 21 own fish and a cat; 26 own a bird and a dog; 29 own a cat and a dog; 3 own fish, a bird, a cat, and no dog; 1 owns fish, a bird, a dog, and no cat; 9 own fish, a cat, a dog, and no bird; and 10 own a bird, a cat, a dog, and no fish. How many of the surveyed pet owners have no fish, no birds, no cats, and no dogs? (They own other types of pets.)

Answers

Answer 1

Answer:

18

Step-by-step explanation:

This is venn diagram with 4 elements

Fish = n(F)

Bird = n(B)

Dog = n(D)

Cat = n(C)

The formula is given as

n (F ∪ B ∪ C ∪ D) - n(pet owners that have not fish, bird, cat or dogs) = n(F ) + n ( B ) + n (C) + n(D) - n ( F ∩ B) - n ( F ∩ C) - n ( F ∩ D) - n ( D ∩ B) - n ( D ∩ C) - n ( C ∩ B) + n(F ∩ D ∩ C) + n(F ∩ D ∩ B) + n(F ∩ C ∩ B) + n(D ∩ B ∩ C)- n (A ∩ B ∩ C ∩ D)

= 140 - n(pet owners that have not fish, bird, cat or dogs) = 47 + 53 + 50 + 68 - 21 -26 - 29- 10 - 2

140 - n = 218 - 88

140 - 218 - 88 +[(9 + 4 + 10) -(11 + 14)] = n

140 - 218 - 88 + (33 - 25)= n

140 - 130 + 8 = n

10 + 8 = n


Related Questions

What is the solution of the equation 8x^3 = -64?

Answers

Answer:

[tex]x=-2[/tex]

Step-by-step explanation:

[tex]8x^3=-64[/tex]

Divide both sides by 8:

[tex]\frac{8x^3}{8}=\frac{-64}{8}[/tex]

[tex]x^3=-8[/tex]

Cube root both sides:

[tex]\sqrt[3]{x^3} =\sqrt[3]{-8}[/tex]

[tex]x=-2[/tex]

Think of a number. Double the number. Substract 6 from the result and divide the answer by 2. The quotien will be 20. What is the number?

Answers

Answer:

23 is your answer hope this helps

Answer:

The number is 23

Step-by-step explanation:

23*2=46

46-6=40

40/2=20

The answer is 23

Hope that helps!

Question 2 : There are 40 students in Mrs. Jackson's class, and
1/4 of the class has their own cell phone. Of this group of
students, 1/2 of them are allowed to use social media. How many
of the students have a cell phone and can use social media?

Answers

Answer:

5

Step-by-step explanation:

First find the number that have their own cell phone

1/4 * 40 = 10

There are 10 students with their own cell phone

1/2  of the 10 can use social media

1/2 * 10  =5

5 have their own cell phone and can use social media

Answer: 10 students have a cell phone and only 5 of them can use social media

Step-by-step explanation: We see there are 40 students in total and 1/4 OF the class have their own cell phone. The OF means multiplacation so we do 40 X 1/4 which is 10 students who have their cellphone. We then again see 1/2 OF the 10 students can use social media meaning we do 10 X 1/2 which is equal to 5 students out of the 10 can use social media.

HELP !! Find the x with the details in this picture^^

Answers

Answer:

x = 3.9

Step-by-step explanation:

So the whole angle PQS = 111 degrees

it gave you part of it so subtract that off . 111 - 72 = 39 degrees

10 times what equals about 39 degrees.

39/ 10 = 3.9

whats the answer of 23,869 in long division

Answers

Answer:THIS IS THE ANSWER WHILE DIVIDING IT INTO TWO.

2 | 23,869---- -2

----------

038 -38

-------------

08 -8

----------

90 -90TOTAL ANS; 1194.45

THE REASON WHY THE 9 TURNED INTO 90 WAS BECAUSE: 9 CAN NOT BE DIVISIBLE BY TWO SO I HAD TO ADD A 0 AND REPLACE THE symbol (.)IN THE ANSWER.

I HOPE IT HELPED YOU.

DON'T HESITATE TO ASK FOR FURTHUR EXPLANATION.

HELP ME FIND HIM (MY LOST LOVE).

THANK YOU.

# THE BEAUTIFUL EMPRESS!!

5
Select the correct answer.
if(t + 4) is a factor of polynomial p, which statement must be true?
OA. p(4)
0
B. p(4) < 0
OC. P(-4) = 0
OD. p(-4) > 0
What’s the answer

Answers

Answer:

[tex]p(-4) = 0[/tex]

Step-by-step explanation:

Given

[tex]Polynomial: p[/tex]

[tex]Factor: (t + 4)[/tex]

Required

Which statement is true

First we need to equate t + 4 to 0; then solve for t

[tex]t + 4 = 0\\[/tex]

[tex]t = 0 - 4[/tex]

[tex]t = -4[/tex]

Represent the polynomial as a function of t:

[tex]p(t) = 0[/tex]

Substitute -4 for t

[tex]p(-4) = 0[/tex]

Which number should go in the ?
5 + 3 = 3 + 0
5
3
8

Answers

Answer:

the answer is 5

Step-by-step explanation:

because 5+3 is 8 and 3+0 is 3 so you need 5 so it can be equal.

hoped i helped

The answer would be 5❤️


Order the following rational numbers from greatest to smallest.
- 7
0.40
4.1
-3/4

Answers

4.1
0.40
-3/4
-7
That’s it!

AVENGERS: The Avender movie made $1.6 million in ticket sales. Its sequel made $0.8 million in ticket sales. How much more than the first movie make than the sequel. (a) Write and equation and solve it (b) Write your answer in a complete sentence in context of the problem

Answers

Answer:

0.8 million

Step-by-step explanation:

0.8 million because the first movie made 1.8 mill iou on and the question is asking how much more the first one made than the second one.

Which number(s) below belong to the solution set of the inequality? Check all
that apply
5x 2>= 145
A. 31
B. 10
C. 55
D. 11
E. 29
F. 8

Answers

Answer: 29 for shure

Step-by-step explanation:

I got it on mine

One number is 19 larger than the other, and the sum of these numbers is 97. What is the larger number? Plz help asap

Answers

Answer:

58

Step-by-step explanation:

I have attached an image with this answer that will help you to visualise this question. I will now explain it.

The smaller number (Number 1) has 1 unit.

The bigger number (Number 2) has 1 unit, and 19.

If you add 19 to the smaller number, you will make two of the bigger number.

[tex]97+19=116[/tex]

This is equivalent to two of the bigger number. (Try to visualise it!)

Hence, divide it by 2 to get one of the bigger number.

[tex]116\div2=58[/tex]

Answer:

58

Step-by-step explanation:

The smaller number (Number 1) has 1 unit.

The bigger number (Number 2) has 1 unit, and 19.

If you add 19 to the smaller number, you will make two of the bigger number.

This is equivalent to two of the bigger number. (Try to visualise it!)

Hence, divide it by 2 to get one of the bigger number.

100 POINTS!! ASAP - Pls show all the WORK

Answers

Answer:

Solution: cot(52°)

Step-by-step explanation:

Remember that the cofunction of angle theta say, is the trigonometric complement of the angle. It represents the relationship between trigonometric functions. In this case you can use the formula:

tan(θ) = cot(90° - θ)

If we plug in '38 degrees' in replacement of 'theta' we can solve for tan(38) in terms of cot. Let's see what our solution is:

tan(38°) = cot(90° - 38°),

tan(38°) = cot(52°)

Therefore the cofunction with the same value as tan(38°) would be cot(52°). Remember this is only one example of it's 'cofunction.'

Answer:

cot(52)

Step-by-step explanation:

cofunction of tan (38)

The cofunction of and angle Ф is the trigonometric complement of an angle.

it shows the relationship between trigonometric  functions as:

list the cofunction formula for tan

tan(Ф) = cot(90° - Ф)

plugin Ф = 38 into the formula:

tan (38) = cot(cot(90° - 38)

tan(38 = cot(52)

A company’s sales increased 17% this year, to $8267. What were their sales last year?

Answers

Answer:

eekk im not shure sorry but it might be 8156 i no no

Step-by-step explanation:

To solve x2−8x=10 by completing the square, what should be added to both sides?

Answers

Answer:

16 will be added.

Step-by-step explanation:

Given equation is,

x² - 8x = 10

To convert this equation into a square form we will follow the following steps,

Step (1). x² - 2(4x) = 10

Step (2). x² -2(x)(4) + 16 = 10 + 16

Step (3). x² - 2(4)(x) + 4² = 26

Step (4). (x - 4)² = 26

In step (2) we have added 16 to both the sides of the equation to make is a perfect square.

Regina, Phil and Joseph each wrote expressions to represent their hourly earnings for an after-school job where h represents the number of hours worked. Regina: 6.50h + 16 Phil: 3(2.5h + 5) Joseph: 7.50h + 10 How many hours will Regina and joseph have to work in order to make the same amount of money in one week? Show your work.

Answers

Answer:

Duration = 6 hours

Step-by-step explanation:

Given

[tex]Regina: 6.50h + 16[/tex]

[tex]Phil: 3(2.5h + 5)[/tex]

[tex]Joseph: 7.50h + 10[/tex]

Required

When will Ragina and Joseph earn equal amounts

To solve this:

[tex]Regina = Joseph[/tex] must be true

This gives:

[tex]6.50h + 16 = 7.50h + 10[/tex]

Collect Like Terms

[tex]7.50h - 6.50h = 16 - 10[/tex]

[tex]h = 6[/tex]

Hence, number of hours is 6

Describe what is means for slope to be a ratio

Answers

Answer:The slope of a line is the ratio of the 'change' in y to the 'change' in x (ratio of vertical change to horizontal change) often referred to as rise compared to run. .

Step-by-step explanation: heart it up

Factor by grouping
ab + 7a + 4b + 28

Answers

Answer:

(b + 7)(a + 4)

Step-by-step explanation:

ab + 7a + 4b + 28

separate the polynomial into 2 sections

(ab + 7a) (+ 4b + 28)

simplify each expression

a(b + 7)

4(b + 7)

you see that you have (b + 7) in both expressions. take that aside.

(b + 7)

you are left with a and positive 4. put these two together

(a + 4)

now put the expressions together

(b + 7)(a + 4)

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{(b + 7)(a + 4)}}}}}[/tex]

Step-by-step explanation:

[tex] \sf{ab + 7a + 4b + 28}[/tex]

Take a common

[tex] \dashrightarrow{ \sf{a(b + 7) + 4b + 28}}[/tex]

Take 4 common

[tex] \dashrightarrow{ \sf{a(b + 7) + 4(b + 7)}}[/tex]

Take ( b + 7 ) common

[tex] \dashrightarrow{ \sf{(b + 7)(a + 4)}}[/tex]

Hope I helped!

Best regards! :D

Given: f = {(0, 1), (2, 4), (4, 6), (6, 8)} and g = {(2, 5), (4, 7), (5, 8), (6, 9), (7, 5)} Complete the ordered pair below for the function shown.
f(x)
-----
g(x)

(4,__)

6/7
1
7/6

Answers

Answer: Choice A.  6/7

=======================================================

Explanation:

The given ordered pair is (4, ___) so we have x = 4 here.

We will plug this into f(x) and g(x) to get

f(4) = 6

g(4) = 7

So we have [tex]\frac{f(4)}{g(4)} = \frac{6}{7}[/tex]

-----------

If you're curious where f(4) = 6 came from, all we're doing is looking through the set of points

f = {(0, 1), (2, 4), (4, 6), (6, 8)}

to see which has 4 listed first as the x coordinate. That point is (4,6) so x = 4 leads to y = 6, ie, f(x) = 6 when x = 4. A similar situation happens with g(x) as well.

Directions: Find the number of hours worked each day.

Answers

Answer:

From my calculations it should be 9 hours

The average of four numbers is 26.
Three of these numbers are 20, 42
and 16. What is the fourth number?​

Answers

Answer: 26!!

Step-by-step explanation: the average is like the mean which is all 4 numbers added together divided by 4. 26 times 4 is 104. 20 +42+16  = 78. 104 - 78 is 26 so the 4th number is 26. you can check the work by adding 20 42 16 and 26 together which equals 104. 104 divided by 4 is 26!! so our answer is correct!!

aey sample consisting of a portion of the population that is not scientifically drawn but instead collected because it easy to access is called

Answers

Answer:

See below

Step-by-step explanation:

A sample consisting of a portion of the population that is not scientifically drawn but instead collected because it easy to access is called ...

accidental sampleor  grab sampleor convenience sample or opportunity sample

All above refer to same method

Which is the equation of the function in the graph?

Answers

Answer  

B

Step-by-step explanation:

xxxxz

Answer:

D

Step-by-step explanation:

Look at the incomplete multiplication problem below. 632x28
5600
+[?]
What value is missing?
A)11,376
B)12,540
C)12.640
D)18,328​

Answers

12.640 is missing value

David is flying from Hong Kong to Buenos Aires. The total flight distance is 11,472 miles. If the plane has 7,793 miles left to travel, how far has it already traveled?

Answers

3679 your just gonna subtract 11,472 from the miles he still has left which is 7793 so your answer is 3679
3679 is the answer

Hope it helps

Set V is all the unique three-digit numbers using the digits 1, 2, 3, 4, and 5. Which set would be considered a subset of set V? Set W is all the unique three-digit numbers using the digits 1, 3, and 5. Set X is all the unique three-digit numbers using the digits 2, 4, and 6. Set Y is all the unique three-digit numbers using the digits 0, 2, and 4. Set Z is all the unique three-digit numbers using the digits 3, 5, and 7.

Answers

Answer: Choice A) Set W is all the unique three-digit numbers using the digits 1, 3, and 5

==========================================================

Explanation:

The original set uses the digits {1,2,3,4,5}. We can only use those digits. Nothing else. So that means we can't use 0, 2, 4, 6, or 7. This rules out choices B through D.

Only choice A is left. This answer choice involves 1,3 and 5 which is the correct subset of digits to use.

--------

Put another way, if set B was a subset of set A, then everything in B must also be found in A. Having B = {2,4,6} and A = {1,2,3,4,5} shows B is not a subset of A. We see a counter example has 6 in B, but not in set A.

This allows us to rule out choice B. Similar ideas apply to the answer choices C and D as well.

Answer:

A

Step-by-step explanation:

ed2020

Jamie has 175 in her savings account every year 75 is added to her account tanner has 50 in his savings account every year 100 is added to his account and how many do you have a

Answers

Hi! The answer seems to be incomplete; however, I will try my best to help.

For Jamie, the equation will be:

175 + 75(x)

For Tanner, the equation will be:

50 + 100(x)

I am assuming that whoever has the most money after the amount of years is the correct answer, but I do not know the years they do this to give you a complete answer.

Hope I helped!

* x is how many years she adds money

Find the sum. 4.88 * 1.6

Answers

Answer: 7.808.

Take the 2 values and multiply them together using the digits

Express the ratio DE/AB in simplest form

Answers

D. X/36cm

DE= X. And AB= 36cm

The product of 79 and -0.22 is a positive number. True Or False

Answers

Answer:

False

Step-by-step explanation:

We know that this statement is false because a positive number times a negative number will produce a negative answer.

Answer:

False

Step-by-step explanation:

You will get a positive number only by multiplying two positive numbers or two negative numbers.

Chris is going to play baseball every 2 days and he is going to play soccer every 3 days.   what are the first 3 days that he will do both on the same day?

Answers

Answer:

6,12,18 days

Step-by-step explanation:

Just add 6 to 12 or 6 x 3

6th, 12th and 18th are the first 3 days that he will do both on the same day.

What is Number system?

A number system is defined as a system of writing to express numbers

Given that Chris is going to play baseball every 2 days and he is going to play soccer every 3 days.

We need to find the three days that he will do  both on the same day

To find this we need to find the common multiples between 2 and 3.

The multiples of 2 are 4, 6, 8, 10,12, 14, 16, 18..

The multiples of 3 are 6, 9, 12, 15, 18...

Let us take first three common multiples of 2 and 3

Which are 6, 12 and 18

Hence, 6th, 12th and 18th are the first 3 days that he will do both on the same day.

To learn more on Number system click:

https://brainly.com/question/22046046

#SPJ3

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