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:
Step-by-step explanation:
Here's the system graphed. Not sure what you meant by solution though, what are you trying to find?
Let the cost of one sheep and one cow be x and y respectively.
Therefore,
5x+5y=129
10x+17y =177
Solving the two equations,
Multiply the first equation by 2 and subtract the second from the results;
10x+10y = 258
10x+17y = 177
0x-7y = 81 => y= $-11.57 (cannot be a negative value). The details of the question need to be checked.
Now,
5x+5y = 129 => 5x-57.86 =129=>5x = 186.86 => x= $37.37
4c + 4t + 3s = total number of legs
example : Lets say u have 3 chairs (c) and 2 tables (t) and 4 stools (s)...
4c + 4t + 3s =
4(3) + 4(2) + 3(4) =
12 + 8 + 12 = 32 legs...then u would have 32 legs
Answer:
y = 28 degrees
Step-by-step explanation:
First thing: find the value of x. Note that the 34 degree angle and the angle x - 5 are equal because this is an isosceles triangle. Thus, 34 = x - 5, and so x = 39.
Second: the three interior angles must add up to 180 degrees.
Thus, 34 + 39 -5 + 4y = 180.
From this we get:
4y = 180 - 34 - 39 + 5, or
4y = 112.
Therefore, y must be 112/4, or 28.
