Natalie wants to create a visual representation of how much her monthly income is spent on her bills each month. Below is the li
ne graph she made. Explain why a line graph is suitable or unsuitable for her purposes. If it is not in the best format, explain which format should have been used.
1 answer:
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Sequence: 34, 42, 50, 58, 66
Since the difference between consecutive terms is 8, we deduce it is an arithmetic sequence, the recursive formula would be:
Given that the first term is 34 and the common difference is 8, the explicit formula would be:
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%
