Answer:
\[y < = 300\]
Step-by-step explanation:
Let x = number of out-of-state students at the college
Let y = number of in-state students at the college
As per the given problem, the constraints are as follows:
\[x < = 100\] --------- (1)
\[y = 3 * x\] --------- (2)
From the given equations (2), \[ x = y/3 \]
Substituting in (1):
\[y/3 < = 100\]
Or, \[y < = 300\] which is the constraint representing the incoming students.
Answer:
The sum of the measures of the angles in a triangle is equal to 180 degree.
In triangle FGH;

or

Substitute the given values from the given figure we have;


Simplify:

Given that:
Using Cosine ratio:

In a given figure:
Base = GH = x and Hypotenuse = FH = y = 80 cm
Then;

or
cm
Therefore, the value of :

x = 43.57 cm
y = 80 cm
Answer:
option-C
Step-by-step explanation:
we are given
Let P(A)=0.5
P(B)=0.9
P(A and B)=0.15
we know that

now, we can plug values


but we have
P(A)=0.5
we can see that both are not equal

so, A and B are not independent
so, option-C........Answer