Find the product of the sum and difference. (Please try to answer all of them If not it's OK!)

Given:

Number of students who has a cat and a dog = 5

Number of students who has a cat but do not have a dog = 11

Number of students who has a dog but do not have a cat = 3

Number of students who neither have a cat nor a dog = 2

To find:

The probability that a student has a cat given that they do not have a dog.

Solution:

Let the following events:

A = Student has a cat

B = Do not have a dog

Total number of outcomes is:

[tex]5+3+11+2=21[/tex]

The probability that a student has a cat but do not have a dog is:

[tex]P(A\cap B)=\dfrac{11}{21}[/tex]

The probability that a student do not have a dog is:

[tex]P(B)=\dfrac{11+2}{21}[/tex]

[tex]P(B)=\dfrac{13}{21}[/tex]

The conditional probability is:

[tex]P\left(\dfrac{A}{B}\right)=\dfrac{P(A\cap B)}{P(B)}[/tex]

[tex]P\left(\dfrac{A}{B}\right)=\dfrac{\dfrac{11}{21}}{\dfrac{13}{21}}[/tex]

[tex]P\left(\dfrac{A}{B}\right)=\dfrac{11}{13}[/tex]

Therefore, the probability that a student has a cat given that they do not have a dog is [tex]\dfrac{11}{13}[/tex].

Answer:

hii

Step-by-step explanation:

[tex]( - 6 + 2y)[/tex]

answer the question

Answer:

lateral area = pi x radius x slant height

slant height = 40^2 + 30^2 = 1600 + 900= [tex]\sqrt{2500}[/tex] = 50

3.14 x 30 x 50 = 4710m^3

Hope that answers your question

Don't hesitate to leave a comment if you are confused about something

Step-by-step explanation:

Kayaker=12.5, so 12 knots

Commercials=9 commercials per hour

Dog= 7 miles

Tutoring=750 dollars

Answer:

literally none of these are correct i'm in college and none of these are right. bro talk to your teacher

Step-by-step explanation:

The above equation is equal to 6c x 3. NONE OF YOUR OPTIONS SIMPLIFY TO THAT???

Answer:

Step-by-step explanation:

Can you at least put the questio here

Answer:

Step-by-step explanation:

[tex]f(n)=41+(n-1)^5\\\\f(1)=41+(1-1)^5=41\\\\f(2)=41+(2-1)^5=41-1=40\\\\f(3)=41+(3-1)^5=41-32=9[/tex]

Answer:

Step-by-step explanation: Finding the height can be solved using a simple formula using the length of the base and the area. You should multiply length times area! hope this helps.

Answer:

MEAN 5.8 add all the points up then divide by the number of dots

MEDIAN 5 the middle of the data

MODE 5 most accruing one

RANGE 7 maximum minus minimum

Answer:

2.4 pounds

Step-by-step explanation:

19.2 pounds÷ 8 bags= 2.4 pounds per bag

Answer:

69

Step-by-step explanation:

Answer:

Step-by-step explanation:

Incomplete question!

But here are some "multiples of 30 degrees:"

60, 90, 120, 180, 150, and so on.  Start with "30 degrees" and multiply that by various positive integers:  2, 3, 4, 6, 5, and so on, to obtain "multiples of 30 degrees."

Answer:

D..... 3 lines of Symmetry

Answer: Perimeter = 74

Step-by-step explanation:

Answer:

opposite angle of trapezoid is supplementary

<Z+<X=180°

<X=180°-72°

<x=108°

is your answer

The required value of the measure of the angle x is 108°. Option A is correct.

The following image is a trapezoid. if XW is congruent to YZ and measure of m = 72 degrees. calculate the measure of X is to be determined.

The angle can be defined as the one line inclined over another line.

A trapezoid is defined as a quadrilateral with one couple of opposite sides parallel. the sum of the opposite angles is 180. Only one pair of opposite sides should be parallel not all the sides if all sides are parallel then the shape became a rectangle or rhombus.

Since the sum of the opposite angles in trapezoids is 180°
so,
x + 72° = 180°
x = 180° - 72°
x = 108°

Thus, the required value of the measure of the angle x is 108°.

Learn more about Angles here:
https://brainly.com/question/13954458

#SPJ2

Answer:

31 cents

Step-by-step explanation:

do 2.50 divided by 8 which is 31 cents per inch

If you roll a numbered cube once, your chance of getting a 4 is 1/6. If you roll twice, your chance of getting a 4 is 2/12. If you roll three times, your chance of getting a 4 is 3/18. You see the pattern here? Try it yourself and see if you can get it! If you can't understand it, let me know and I'll give you the answer!

(I like to try and help before I just give the answer straight away!)

Answer:

45

Step-by-step explanation:

180 in a triangle,

110 + 25 = 135

add on 45 = 180

Answer:

No

Step-by-step explanation:

The Triangle Inequality Theorem states that the sum of any 2 sides of a triangle must be greater than the measure of the third side.

2 + 5 is only equal to 7

not greater than 7

Answer:

CBD is 120 degrees

Step-by-step explanation:

x=30

4x30+30+30=180

Answer: 120°

Step-by-step explanation:

x + 4x + x = 180° (Since the sum of a straight line is 180°)

6x = 180°

x = 30°

To find the angle of 4x, we need to multiply 4 x 30°

120°

Answer:

Refer to image

Step-by-step explanation:

When creating a histogram it is best to create a range for the different variables that are available.

So for the sake of covering all the possible ranges from 1 - 22, let's divide it into 5 categories.

0 - 5        

6 - 10  

11 - 15

16 - 20

21 - 25

Now that we have set ranges for the different variables, we then find the frequencies.

0 - 5  : 3      

6 - 10 : 2

11 - 15 : 3

16 - 20 : 1

21 - 25 : 3

Now that we have all the values we can then create our histogram

/

Answer:

b; 1 real root and 2 imaginary roots

Step-by-step explanation:

From here, we have

x(x^2 + 121) = 0

x = 0 (1 real root)

or

x^2 + 121 = 0

x^2 = -121

x = √(-121) (2 imaginary roots)

so is would be two complex numbers from above

Just a little note you put 50 points and not 100

The y-axis doesn't start at zero.

The intervals on the y-axis are too large.

Different bar widths are used on the same graph.

The y-axis starts at zero but has different intervals.

Answer:

The y-axis starts at zero and uses consistent intervals.

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

it just is the answer have a nice day

Answer:

c

Step-by-step explanation:

c

Answer:

22=22

Step-by-step explanation:

33-11

22

22=22