The cube root is 1
The Answer is A. 1
Answer:
Step-by-step explanation:
Function f(x)=|x| is transformed to create function g(x)=|x+4|+3. What transformations are performed to function f to get function g? Select each correct answer.
Function f is translated 4 units to the right.
Function f is translated 3 units to the left.
Function f is translated 4 units down.
(this one is correct) Function f is translated 3 units up.
Function f is translated 4 units up.
(this one is correct) Function f is translated 4 units to the left.
Function f is translated 3 units to the right.
Function f is translated 3 units down.
Answer:
x = 4
Step-by-step explanation:
f(x) = I x+1 I
when x = -5
f(-5) = I (-5) +1 I
= I -5+1 I
= |-4|
= 4
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%