Answer:
(-1/3; 4)
Step-by-step explanation:
(-2, -1) , (-1, 6 ) and (2, 7).
x=(-2-1+2)/3= -1/3
y=(-1+6+7)/3=12/3=4
=> (-1/3; 4)
Answer:
d
Step-by-step explanation:
u just have to plug in the numbers
f(-3)= -3^2
f(-3)= 9
g(4)=2(4)-3
g(4)=5
9+5=14
I hope I'm right and hope I helped:)
Answer:
d. 112°
Step-by-step explanation:
m<A = 64° (given)
m<ABC = 180° - 132° (linear pair)
m<ABC = 48°
According to the exterior angle theorem of a triangle, the exterior angle of a ∆ is equal to the opposite interior angles of the ∆.
48° and 64° are interior angles of ∆ABC that are opposite to the exterior angle, x.
Therefore,
x = 48 + 64
x = 112°
Answer:
The total number of marbles in the bag is 50.
Step-by-step explanation:
Here, we have n trials, without replacement. So the hypergeometric distribution is used.
The mean of the hypergeometric distribution is:

In which n is the number of items in the sample, k is the number of items in the population that are classified a success and N is the size of the population.
15 marbles are drawn:
This means that 
A bag contains some number of marbles. It is known that 20 of them are red.
This means that
, since a success is drawing a red marble.
Assuming E(X)=6 red, what is the total number of marbles in the bag?
We have to find N when 
So





The total number of marbles in the bag is 50.