2/3(2x+1) - 1/2(3x-2)=2 solve for x
1 answer:
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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%
Answer:
y = x + 9
Step-by-step explanation:
Given parameters:
Coordinates = (-2,8)
Equation of the line y = 2x + 5;
Unknown:
Linear equation of a line perpendicular = ?
Solution:
From the given expression, a line perpendicular will have a negative inverse of the slope given.
y = 2x + 5
Equation of a line is y = mx + c;
y and x are the coordinates
m is the slope
c is the intercepts
y = 2x + 5 ;
The slope is 2;
A line perpendicular will have a slope of
Since y = 8 and x = -2, let us find c;
8 = 2 x + c
8 = -1 + c
c = 8+1 = 9
The equation of the line is;
y = x + 9