In a class of students, the following data table summarizes how many students have a cat or a dog. What is the probability that a student has a cat given that they do not have a dog? ( NO LINKS )
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].
Ryan and Sheila are preparing to get married. Sheila has a car payment of $297.00 per month, which is 9% of her monthly income. After they are married, Sheila knows that her car payment will only be 5% of their combined monthly income. How much money does Ryan make per month?
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
Can you help me with this math question pls? I need help super fast.
Answer: I thinks it’s B
Step-by-step explanation:
Find the median, mean, and range.
68, 82, 43, 39, 83
Answer:
mean is 63 median is 68 and range is 44
which is an irrational number?
hallar el numero de intervalo de
33 - 11= 22
Answer:
22=22
Step-by-step explanation:
33-11
22
22=22
anyone know the answer to this?????
Answer:
15
Step-by-step explanation:
because you add them all up on god
Answer:
im not good at math
Step-by-step explanation:
how many lines of symmetry does does this triangle have ?
Answer:
D..... 3 lines of Symmetry
1/5 divided by 3 please! in fraction form!!
Answer:
1/15
Step-by-step explanation:
45 Points HELP RIGHT NOW!!!! Due in 2 hours!!!!! NO websites are allowed and please give me the order like this I need the steps too!!! I will mark you brainless too don’t answer for points or your reported
1 (table)
2(dog walker)
3(Ms Scholl)
Kayaker=12.5, so 12 knots
Commercials=9 commercials per hour
Dog= 7 miles
Tutoring=750 dollars
in a game the player wins if he rolls a 4 on a number cube if the numbered cube is rolled 24 times then what is the reasonable prediction for the number of unsuccesful rolls
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!)
Is this unbiased or biased?
The Bernal leadership class is going to sell spirit t-shirts for students and needs to order a color that most students would like to wear, so they ask every fourth student entering the school about their favorite t-shirt color to make a decision about all Bernal students.
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.
Given P(A)=0.64P(A)=0.64, P(B)=0.4P(B)=0.4 and P(A\cap B)=0.356P(A∩B)=0.356, find the value of P(A\cup B)P(A∪B), rounding to the nearest thousandth, if necessary.
Answer:
Step-by-step explanation:
P(A U B) = P (A) + P (B) - P (A and B)
= 0.64 + 0.4 - 0.356
= 0.684
The value of P(A∪B) is 0.684
What is probability?Probabilities are used to determine the chances of events
The given parameters are:
P(A)=0.64,
P(B)=0.4
P(A∩B)=0.356
To find the value of P(A∪B), we make use of the following formula
P(A∪B) = P(A) + P(B) - P(A∩B)
So, we have:
P(A∪B) = 0.64 + 0.4 - 0.356
Evaluate the expression
P(A∪B) = 0.684
Hence, the value of P(A∪B) is 0.684
Read more about probability at:
https://brainly.com/question/25870256
please answer correctly. i will give brainliest!!
I'm pretty sure its just the last 3
How many solutions does the equation
2 + 6(2 - 4) = 3x 18 + 3x have?
A infinite
B 0
C 1
D 2
which of these expression is equivalent to -2(3-y)
[tex]( - 6 + 2y)[/tex]
answer the question
Is algebra.
PLEASE HELP NO LINKS OR FILES.
I don't want links.
I don't want links.
I don't want links.
I don't want links.
Answer:
You have to find the greatest common factor of the numbers
Step-by-step explanation:
the product of a number and two more than the number .. what is the expression?
15 cm
30°
B
OAB is a sector of a circle, centre O.
The radius of the circle is 15 cm.
The angle of the sector is 30°.
Calculate the area of sector OAB.
Leave your answer in its simplest form.
Step-by-step explanation:
change the angle to radian
then use formula 1/2 × π × radius square
100 points
Choose the different ways that a graph can be misleading.
The y-axis starts at zero and uses consistent intervals.
Different bar heights are used on the same graph.
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.
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:
Which describes the number and type of roots of the equation x^3 + 121x = 0?
a. 2 real roots, 1 imaginary root
b. 1 real root, 2 imaginary roots
c. 3 real roots
d. 3 imaginary roots
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
Find the length of all segments in the triangle
Find LA, AE, SL
A water park keeps track of the number of times each visitor goes down water slides during their visit . The data shows the number of times 12 visitors went down a water slide.
4, 22, 16, 10, 11, 20, 20, 12, 6, 3, 11, 1
Create a histogram of this data.
To create a histogram, hover over each age range on the x-axis. Then click and drag up to plot the data.
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
/
I need help with this
Answer:
c
Step-by-step explanation:
it just is the answer have a nice day
Answer:
c
Step-by-step explanation:
c
The zeros of a function are the values of for which the function is equal to zero. Enter a number in each blank to make true statements about the function ()=(2−6)(−4).
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)
Find the measure of the
indicated angle
Answer:
45
Step-by-step explanation:
180 in a triangle,
110 + 25 = 135
add on 45 = 180
If i have 22 more questions to go out of 42 what question am i on?
Answer: 20
Step-by-step explanation:
can u guys help me with this
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.
How do you solve this? I really don't understand...
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
i will give brainliest tovthe first person that answers
Answer:
hii
Step-by-step explanation: