Answer:
41.67% probability that a student has a dog given that they have a cat
Step-by-step explanation:
We use the conditional probability formula to solve this question. It is

In which
P(B|A) is the probability of event B happening, given that A happened.
is the probability of both A and B happening.
P(A) is the probability of A happening.
In this question:
Event A: having a cat.
Event B: having a dog.
12 of 27 students have a cat:
This means that 
5 students who have a cat and a dog.
This means that 
What is the probability that a student has a dog given that they have a cat?

41.67% probability that a student has a dog given that they have a cat
Answer:
<h2>y = 7x-47</h2>
Step-by-step explanation:

<span> 0=4+n over 5
In number form the equation is
</span>

<span>We want to isolate n, so to undue division we multiply, we'll multiply each side by 5 Leaving the equation as
</span>

<span>
Next we'll subtract 20 from each side to isolate n
The equation would now be
</span>

<span>
So the answer is
N=-20</span>
Answer:
Part A) 
B) length of BC = x + 12 = x + 12 = 11 + 12 =23
length of EF = 4x - 18 = 4(11) - 18 = 44 - 18 =26
length of AD = 3x - 18 = 3(11) - 4 = 33 - 4 =29
Step-by-step explanation:
Median of trapezium is 
In provided figure, base1 is x+12 and base2 is 3x-4
A) solve for value of x
calculate the median 







B) To find the length of BC, AD and EF , put the value of x in equation of lines
length of BC = x + 12 = x + 12 = 11 + 12 =23
length of EF = 4x - 18 = 4(11) - 18 = 44 - 18 =26
length of AD = 3x - 4 = 3(11) - 4 = 33 - 4 =29
These are the steps:
1. Find the area of the trapezium {Whole figure).
2. FInd the area of the rectangle (unshaded).
3. Area of the shaded = Area of trapezium - Area of the rectangle.
<u>Step 1: Find the area of the trapezium</u>:
Formula : Area of trapezium = 1/2 (a + b)h
Area = 1/2 ( 25 + 15) (12) = 240 yd²
<u>Step </u><u>2 :</u><u> Find the area of the rectangle</u>:
Formula : Area = Length x Width
Area = 12 x 3 = 36 yd²
<u>Step 3: Find the shaded region:</u>
240 - 36 = 204 yd²
Answer: 204 yd²