In a class of 25 students, 9 have a cat and 8 have a dog. There are 2 students who have a cat and a dog. What is the probability that a student has a cat given that they do not have a dog?

Answers

Answer 1

Answer:

20 + 14 = 34, there there are only 29 students, so 34 - 29 or 5 have both a dog and a cat

 

15 have only a dog

5 have a dog and a cat

9 have only a cat

Step-by-step explanation:

Answer 2

The probability that a student has a cat given that they do not have a dog  is 3/5

What is probability ?

Probability denotes the possibility of the outcome of any random event. The meaning of this term is to check the extent to which any event is likely to happen.

According to the question,

The number of student who do not have a dog is

25 - ( 8 + 2 ) = 15

9 have a cat { do not have a dog is a prerequisite }

So the probability that a student has a cat given that they do not have a dog = 9/15

       = 3/5

To learn more about probability from here

https://brainly.in/question/3144050

#SPJ2


Related Questions

Consider this function.
(r) = -3r + 3
Which graph represents the inverse of function ?

Answers

9514 1404 393

Answer:

  C.  graph Y

Step-by-step explanation:

Starting with f(r) = -3r +3, the inverse function can be found from ...

  r = f(y)

  r = -3y +3

  r -3 = -3y

  (r -3)/-3 = y

  y = -1/3r +1

The inverse function will have a slightly negative slope and a y-intercept of 1. This matches graph Y.

Convert 5700 milligrams into pounds. Round your answer to the nearest hundredth.

Answers

The value of the 5,700 milligrams in pounds is approximately 0.01 lb

What is a unit of measurement?

A unit of measurement is a specified magnitude of a quantity that is accepted and adopted by convention or backed by law, and used as a measurement standard.

In other to successfully convert a quantity in one unit to another unit, both units (initial and destination unit) should refer to the same characteristics of the object being measured.

Once both units are confirmed to refer to the same quantity, conversion factors are used to multiply the quantity in the first unit in order to express it in the other unit.

The given parameters are;

The quantity to be converted to pounds = 5,700 milligrams

The factor of conversion is 1,000 mg ≈ [tex]2.205 \times 10^{-6}[/tex] lb

Therefore;

[tex]5,700\: mg = 5,700 \times 2.205 \times 10^(-3) ≈ 0.0126[/tex]

Therefore, to the nearest hundredth, we have;

5,700 mg ≈ 0.01 lb

Learn more about unit conversion in mathematics here:

https://brainly.com/question/141163

#SPJ1

The largest prime number that is a factor of 35 is multiplied by the smallest prime number

Answers

Answer:

the largest factor of 35 is 35 and the smallest prime number is 2 so 35 times two is 70

Step-by-step explanation:

Simplify the expression by arranging the steps in sequence, based on the order of operations 1/6 (30x 24)-1/7(63x-7x)​ please help fast!!!!

Answers

Answer:

if you Simplify the expression it is 112x

(or 120-8x if 30x 24 is multiplication)

 

0.5= x djdododododododdodod

Answers

Answer:

25

Step-by-step explanation:

cuz

I need help on both these questions

Answers

a is 38720 i think.

Why are these triangles similar?​

Answers

Answer:

sas

Step-by-step explanation:

(a)
Evaluate each of the following:
(i)
10! X 20!
17! X 9!


Answers

Answer:

[tex]10!\:\times \:20!=\:8.82851\:\times\:10^{24}[/tex]

[tex]17!\:\times \:9!\:=\:1.29072\:\times \:10^{20}[/tex]

Step-by-step explanation:

1)

Given the expression

[tex]10!\times \:20![/tex]

[tex]\mathrm{Apply\:factorial\:rule}:\quad \:n!=1\times 2\times 3\times \ldots \times \:n[/tex]

[tex]10!=1\times \:2\times \:3\times \:4\times \:5\times \:6\times \:7\times \:8\times \:9\times \:10[/tex]

[tex]20!=1\times \:2\times \:3\times \:4\times \:5\times \:6\times \:7\times \:8\times \:9\times \:10\times \:11\times \:12\times \:13\times \:14\times \:15\times \:16\times \:17\times \:18\times \:19\times \:20[/tex]

Now, multiplying the result

[tex]10!\times \:20!= 1\times \:2\times \:3\times \:4\times \:5\times \:6\times \:7\times \:8\times \:9\times \:10\times \:1\times \:2\times \:3\times \:4\times \:5\times \:6\times \:7\times \:8\times \:9\times \:10\times \:11\times \:12\times \:13\times \:14\times \:15\times \:16\times \:17\times \:18\times \:19\times \:20[/tex]

so

[tex]10!\:\times \:20!=\:8.82851\:\times\:10^{24}[/tex]

Thus, we conclude that:

[tex]10!\:\times \:20!=\:8.82851\:\times\:10^{24}[/tex]

2)

Given the expression

[tex]17!\:\times \:9![/tex]

[tex]\mathrm{Apply\:factorial\:rule}:\quad \:n!=1\times 2\times 3\times \ldots \times \:n[/tex]

[tex]17!=1\times \:2\times \:3\times \:4\times \:5\times \:6\times \:7\times \:8\times \:9\times \:10\times \:11\times \:12\times \:13\times \:14\times \:15\times \:16\times \:17[/tex]

[tex]9!=1\times \:2\times \:3\times \:4\times \:5\times \:6\times \:7\times \:8\times \:9[/tex]

Now, multiplying the result

[tex]17!\:\times \:9!=1\times \:2\times \:3\times \:4\times \:5\times \:6\times \:7\times \:8\times \:9\times \:10\times \:11\times \:12\times \:13\times \:14\times \:15\times \:16\times \:17\times \:1\times \:2\times \:3\times \:4\times \:5\times \:6\times \:7\times \:8\times \:9[/tex]

so

[tex]17!\:\times \:9!\:=\:1.29072\:\times \:10^{20}[/tex]

Thus, we conclude that:

[tex]17!\:\times \:9!\:=\:1.29072\:\times \:10^{20}[/tex]

Solve for x = X-16/x+6= 3/5

Answers

Answer:

-16/29

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

i did the test

Least to greatest 0.4, 5/8, 74%, 3/5

Answers

Answer:

0.4,3/5,5/8,74%

Step-by-step explanation:

Change them all into decimals.

Get 0.4,0.625,0.74,0.6

Then reorder and see what their original values were

For a Biology assignment, Lisa collected data on plant growth of a sunflower every week for 9 weeks. When Lisa first planted the sunflower, it was 10 centimeters tall. The time (in weeks) is plotted against the height (in centimeters) as shown below. Using the best-fit line, approximately how tall was the sunflower plant during the fifth week? 33 centimeters 34 centimeters 35 centimeters 30 centimeters

Answers

Answer:

I think it was 34 cm because it should be not too long

Step-by-step explanation:

this is from my logic perspective

If 1 yard = 3 feet and 1 mile = 5,280 feet, how many yards are there in 4 miles?

Answers

Answer:

7040 Yards

Step-by-step explanation:

First, you have to divide 5280 by 3, to get 1760 yards

Then you have to multiply 1760 by 4

Finally, you should get the answer of 7040 yards :D

Answer:

The other person who answered it already explained it but the answer is 7,040

Step-by-step explanation:

pitcher can hold 1,200 milliliters of tea. How many liters of tea are in the pitcher?​

Answers

Answer:

1.2 Liters

Step-by-step explanation:

There are 1000 mL in 1 L. divide 1200 by 1000 and you get 1.2

BRANLIEST TO CORRECT ANSWER!!!

Which statements describe vascular tissue?

Check all that apply.

The primary purpose of vascular tissue is to support the plant and help it stand upright.


Phloem carries food made during photosynthesis to other parts of the plant.


Phloem contains the chloroplasts.


Xylem moves water and nutrients throughout the plant.


Xylem is the protective, waxy layer on a plant that prevents water loss.

Answers

Answer:

Xylem moves water and nutrients throughout the plant.

Answer:

B and D

Step-by-step explanation:

most people in the comments said it was right so I tried it and got it right

Given
f
(
x
)
=

x

3
f(x)=−x−3, solve for
x
x when
f
(
x
)
=

2
f(x)=−2.

Answers

Answer:

-5

Step-by-step explanation:

Substitute every part of the equation where x appears with the value of x, which is -2

f(-2)=-2-3

f(-2)=-5

So, f(x)=-5

The answer is -5 I hope this helps

What is the value of x in the rhombus below?
O A. 17
O B. 35
O C. 53
O D. 37

Answers

Answer:

∴ x= 17

Step-by-step explanation:

the total of angel in 90°

∴ 2x+3+3x+2 =90

∴ 5x +5 =90

  5x=90-5

  5x = 85  (divide both side by 5)

∴ x= 17

Answer:17

Step-by-step explanation:

big brain knowledge

plz help! will give brainliest! really easy!

Answers

Answer:

C

Step-by-step explanation:

I explained it in the comments of the other one

can somebody do this please

Answers

Answer:

12y - x - 28 = 0

Step-by-step explanation:

............

12y what the guy above my said is right

which of the following is a characteristic of the circumcenter of a triangle? multi-choice. A. it is the center of the only circle that can be inscribed in the triangle. , B. it is the center of the circle that can be inscribed in given a given triangle. C. it is the center of the only circle that can be circumscribed about the triangle. D. it is equidistant from all three sides of the triangle.

Answers

Answer:

C

Step-by-step explanation:

The circumcenter is called ”the circumcenter” because it is the center of the circle that ”circumscribes” the triangle.

I hope this helps!

Further explanation:

For a circle to circumscribe something, it circles it so that each of the vertices are on the circle, so each of the vertices are equidistant from the circumcenter. The circumcenter of a triangle is formed by the perpendicular bisectors of its sides.

Side note:

The rest of the choices describe an incenter.

n order to test the null hypothesis of equal means (alternative hypothesis says they are unequal), two simple random samples are obtained.In sample 1, the mean and standard deviation are 10 and 6 respectively.In sample 2, the mean and standard deviation are 16 and 4 respectively.Each sample is of size 6.The data are normally distributed.The true standard deviations of the two populations may be assumed to be equal.What can you say about the P-value for the test of equal means? --> It must be

Answers

Complete Question

In order to test the null hypothesis of equal means (alternative hypothesis says they are unequal), two simple random samples are obtained.In sample 1, the mean and standard deviation are 10 and 6 respectively.In sample 2, the mean and standard deviation are 16 and 4 respectively.Each sample is of size 6.The data are normally distributed.The true standard deviations of the two populations may be assumed to be equal.What can you say about the P-value for the test of equal means? -->

It must be that the resulting P-value must be

A) Greater than 0.2

B) Between 0.19 and 0.10

C) Between 0.09 and .05

D) Between .049 and .02

E) Less than 0.02

Answer:

The correct option is B

Step-by-step explanation:

From the question we are told that

   The mean of sample 1 is  [tex]\= x_1 = 10[/tex]

   The standard deviation is  [tex]s_1 = 6[/tex]

   The mean of sample two is  [tex]\= x_2 = 16[/tex]

   The standard deviation is  [tex]s_2= 4[/tex]

   The sample size for both samples is  [tex]n_1 = n_2 = n = 6[/tex]

  The null hypothesis is  [tex]H_o : \mu_1 = \mu_2[/tex]

  The alternative hypothesis is  [tex]H_a : \mu_1 \ne \mu_2[/tex]

Generally the test statistics is mathematically represented as

          [tex]z = \frac{ \= x_1 - \= x_2 }{ \sqrt{ \frac{s^2_1}{n_1} +\frac{s^2_1}{n_2} } }[/tex]

=>       [tex]z = \frac{ 10 - 16 }{ \sqrt{ \frac{6^2}{6} +\frac{4^2}{6} } }[/tex]

=>       [tex]z = -1.3646[/tex]

From the z table  the area under the normal curve to the left corresponding to  -1.3646   is

    [tex]P(Z < -1.3646) = 0.086189[/tex]

Generally the p-value is mathematically represented as

     [tex]p-value = 2 P(Z < -1.3646)[/tex]

=>  [tex]p-value = 0.086189 * 2[/tex]

=>  [tex]p-value = 0.1724[/tex]

So the p-value is  Between 0.19 and 0.10

   

MY HRW ‼️ Solve the equation. You may find using algebra tiles helpful in solving this problem.
X +6=-X-6

Answers

Answer:

x=-6

Step-by-step explanation:

x+6=-x-6

(-6)+6=(6)-6

0=0

Answer:

Solve the equation. You may find using algebra tiles helpful in solving this problem.  X +6=-X-6               X= -6


How much simple interest does $5,000 earn in 4 years at an interest rate of 5%. Round to
the nearest cent.

Answers

Answer:

1000

Step-by-step explanation:

Let V(t) represent the value of a bank account, in thousands of dollars, t years after the account is opened in the bank

Answers

Answer:

Step-by-step explanation:

False,true,true

18. Find the missing length indicated.
Find HJ
x+27
X+ 17

Answers

Answer:

The answer ia -30. Hope i help

Answer:

The answer is 30 hope it helps

please help
An auditorium sold 500 tickets for a play and raised $3400. Let x represent the number of adult tickets sold at $8 each and let y represent the number of student tickets sold at $5 each. Write and solve a system of equations to determine the number of adult tickets and the number of student tickets that were sold.

Answers

Answer:

answer is attached in the figure below hope it helps please mark it as brainlist

If Zuri continues to travel at 0.2 miles per minute. how far will she travel in one hour?

Answers

Answer:

1.2 miles yr welcome

12 miles — (60 x 0.2)

Explain how to graph 8 is greater than it equal to y

Answers

Answer:

t w e n t y c h a r e c t e r s l o n g

Stephanie needs to cover her yard with 410taft2of soil. She has enough for 125ft2in one bag and 65 ft2in another bag. How much more square feet of soil will she need covered?

Answers

Answer:

Stephanie needs 220ft² of more soil to cover the rest of her yard.

Step-by-step explanation:

First add the bags she already has:125ft²+65ft²+x=410ft² --> 190ft²+x=410ft²

Second use the subtraction property of equality: 190ft²-190ft²+x=410ft²-190ft² ---> x=220ft²

x - 2y =0
3x + y = 0
solve using the substitution method
to solve the linear system

Answers

Answer:

x=0, y=0

Step-by-step explanation:

① Label the 2 given equations.

x -2y= 0 -----(1)

3x +y= 0 -----(2)

② Make x the subject of formula in equation (1).

From (1): x= 2y -----(3)

③ Substitute equation (3) into (2):

3(2y) +y= 0

Expand:

6y +y= 0

Simplify:

7y= 0

y= 0

④ Find x.

Subst. y=0 into (3):

x= 2(0)

x= 0

A 15-foot statue casts a 20-foot shadow. How tall is a person who casts a 4-foot-long shadow?

Answers

Answer:

3 ft.

Step-by-step explanation:

15:20 and x:4 you can cross multiply or if you reduce 15:20, the answer is 3:4

Other Questions
30 POINTS!! SEND HELP ASAP IM BEING TIMEDWhich of the following statements is false?a. Having a first aid kit in an office is necessaryb. Accidents happen, so it is not necessary to prepare for themc. Your company does need an emergency action pland.OSHA inspects workplaces to look for unsafe conditionsPlease select the best answer from the choices providedABCD HelpWhat do we gain from watching media that do not present a universal truth? A. A better idea of how we should look and feel B. An expanded knowledge of the world around us c. Something completely removed from our own lives D. All of the above Give the equation of the line inslope intercept form.y = [?]x + []Enter the number that belongs in the green box.Enter The points (5,-2) and (9, r) lie on a line with slope 3/2. Find the missing coordinate r. Please select the word from the list that best fits the definition A phone call HELP PLZ!! WILL MAKR BRAINLIEST 1/3 + 3/4= 3/12 + 9/12 =12/12 = 1circle the one mistake can anyone please help. this is my last question!!!! What is one way that you will use your qualities to help you be successful in life?- how would i answer this question ?(this class/subject isnt SAT its called ECLR like a college prep class) Help 9th grade math please please please Which two phrases from the text best support answers to part a dipole dipole bonds are covalent bond? Write the slope-intercept form of the equation that is described below.Through (-3, 3) and perpendicular to y = 1/3x + 5What is the equation: Evaluate g(x)=4 -3x when x=-3,0, and 5 can someone send me pics of mad cats Dennis Company purchases Miles Company for $4,200,000 cash on January 1, 2015. The book value of Miles Company's net assets reported on its December 31, 2014 financial statement was $3,800,000. An analysis indicated that the fair value of Miles's tangible assets exceeded the book value by $600,000, and the fair value of identifiable intangible assets exceeded book value by $320,000. What amount of gain or goodwill is recognized by Dennis Please provide an explanation with your answer, thank you! HELP PLZ You dont have to solve all of them just do the ones you know! help asap, this topic is about immigration Une. Now match each answer with the question that triggered it.