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%
Hello there! Thank you for asking your question here at Brainly! I will be assisting you today with answering this problem, and will teach you how to handle it on your own in the future.
First, let's take a look at our problem.
"The speed of a ship is given by D3, where D is the distance the ship travels in 3 hours. If the ship travels 48 miles in 3 hours, what is the speed of the ship?"
To solve for this, we need to understand the formula for speed.
The formula for speed is:
Speed = 
Now that we have our formula, let's
define our variables.
So, we have our distance, 48 miles, and our time, 3 hours.
Let's
plug in these numbers to the formula.
Speed =
Simplify the fraction to get the speed.

= 16.
Your final equation is:
Speed = 16.
Our final answer is
16 mph.I hope this helps!
Answer:
125
Step-by-step explanation:
that would be , by proportion. 5 * 800 / 32
= 125 students
Cos A will be 60°.
Because When, cos is 1/2 then theta or angle is degree 60°