Part B:

Louis wants to buy skis that have a regular price of $328. They have been marked down 25% off the regular price. Louis calculates the new total price including tax.

How much money will Louis save on the total cost because of the markdown?

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:

Biased, because some students may not like that color, and thus going off of the most popular opinion is only supporting the most popular color. Adding onto that, not every student even gets to vote since it is only every 4th student.

I'm pretty sure its just the last 3

Answer: It’s UNBIASED!

Step-by-step explanation:

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

answer the question

Answer: I thinks it’s B

Step-by-step explanation:

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:

D..... 3 lines of Symmetry

Answer:

the price of an adult ticket is $3 and a child ticket is $2

Step-by-step explanation:

Answer:

22=22

Step-by-step explanation:

33-11

22

22=22

Answer:

Step-by-step explanation:

Can you at least put the questio here

Answer:

You have to find the greatest common factor of the numbers

Step-by-step explanation:

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:

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:

Here we want to complete the blank to make the equality true:

( ) = (2 - 6)*(-4)

The equality is true if we have the same value in both sides, so we can think of this as an algebraic equation:

x = (2 - 6)*(-4)

We just need to find the value of x.

Then let's solve the right side:

x = (2 - 6)*(-4) = (-4)*(-4)

Remember the rule of signs:

(-)*(-) = (+)

x = (-4)*(-4) = 4*4 = 16

Then we need to complete the blank with the number 16

(16) = (2 - 6)*(-4)

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

Answer:

1/15

Step-by-step explanation:

Answer:

$2640

Step-by-step explanation:

Sheila's car payment is 9% of her total income.

let i = total income

this equation can be used to represent the information :

9%  x i = $297

to determine i, divide both sides of the equation by 9%

$297 / 0.09 = $3300

After the marriage, the car payment which is 3300 would be 5% of the combined income.

let c = combined income

5% x c = $297

c = $297 / 0.05 = $5940

Ryan's income = combined income - Sheila's income

$5940 - $3300 = $2640

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:

Negative correlation.

Step-by-step explanation:

Negative correlation means that as x increases, y decreases

Positive correlation means that as x increases, y also increases.

No correlation means that neither of the two above cases happens.

In the graph, we can see that on the right (when x is negative) the general y values are larger.

As x increases, the y-values decrease.

(Particularly, we could adjust these data with a linear equation with a negative slope)

Then this is a negative correlation.

Answer:

2.4 pounds

Step-by-step explanation:

19.2 pounds÷ 8 bags= 2.4 pounds per bag

Answer:

The answer is 1/65

Step-by-step explanation:

Answer:

Step-by-step explanation:

7

3 = 7 - 4

-1 = 3 - 4

-5 = -1 - 4

so the 5th:  -5 - 4 = -9

     the 6th:   -9 - 4 = -13

and the 7th:   -13 - 4 = -17

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:

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]

Kayaker=12.5, so 12 knots

Commercials=9 commercials per hour

Dog= 7 miles

Tutoring=750 dollars