Answer:
What is the probability that a randomly selected family owns a cat? 34%
What is the conditional probability that a randomly selected family doesn't own a dog given that it owns a cat? 82.4%
Step-by-step explanation: We can use a Venn (attached) diagram to describe this situation:
Imagine a community of 100 families (we can assum a number, because in the end, it does not matter)
So, 30% of the families own a dog = .30*100 = 30
20% of the families that own a dog also own a cat = 0.2*30 = 6
34% of all the families own a cat = 0.34*100 = 34
Dogs and cats: 6
Only dogs: 30 - 6 = 24
Only cats: 34 - 6 = 28
Not cat and dogs: 24+6+28 = 58; 100 - 58 = 42
What is the probability that a randomly selected family owns a cat?
34/100 = 34%
What is the conditional probability that a randomly selected family doesn't own a dog given that it owns a cat?
A = doesn't own a dog
B = owns a cat
P(A|B) = P(A∩B)/P(B) = 28/34 = 82.4%
No 8 is the sum (not factor)of the factors 2 and 4
Answer:
24 miles per gallon
Step-by-step explanation:
Take the numbers of miles and divide by the number of gallons
96 miles / 4 gallons
24 miles per gallon
2/5 (rise/run) is the distance. You move up by 2 and 5 to the right
Answer: Yes it will, 3.75
Step-by-step explanation:
Ok lets break this down. Let's break it down like a EUROBEAT dubstep track hot off the rack (oh yea).
Look: area is width times height. ok... interesting.
Lets put this in some FANCY LOOKING EQUATION.
........can we actually replace some words with what we have in the question? OH YEA WE CAN.
DUDE. THERES ONLY ONE VARIABLE MISSING theoretically we can do some ALGEBRA and find out what the height is. ok? this sounds cool but man these fractions are annoying so lets convert them into numbers. what is 1 / 16? put that in a calculator, slam it in like youre putting a BAKED APPLE PIE in the oven and pull it out and 1 / 16 is equal to 0.0625. ok so lets combine that with 14. and we get 14.0625 (this is convenient).
can we do the same process with the other number? 3 / 4 is equal to 0.75. combine it with 3 and we get 3.75.
WOW I DONT KNOW ABOUT YOU BUT THIS LOOKS A LOT CLEANER.
lets do some algebra and this means that we must do opposite on both sides. 3.75 times the height.. what is the opposite of this? 3.75 divided by height. divide 3.75 on both sides by slamming it into a calculator like youre putting an apple pie in the oven and (14.0625 divided by 3.75)
the answer is 3.75. INTERESTING! THE HEIGHT IS 3.75!
what does this mean?
it will fit. because 3.75 is less than 4. THERE IS ENOUGH SPACE! YAAAAY! we have enough space for a mirror. Yes it will. because the height is 3.75 feet.
swag.
