The 3 inside angles of a triangle need to equal 180 degrees.
Since you are given 2 angles, subtract both of those from 180 to find X.
X = 180 - 70 - 30 = 80 degrees.
X = 80
Solution :
Given :
X = the number of boys in a family of four children
Families having four children are chosen randomly.
The gender distribution in the four child family are equally probable.
Thus,
X P(X) CDF
0 
= 1/16 
1 
= 1/4 
2 
= 3/8 
3 
= 1/4 
4 
= 1/16 1
C. translated down 2 units
---The "-2" located on the outside of f(x) tells us that the y-values are being changed. With that, the graph can be moved up or down. The presence of the negative/subtraction sign tells us that the graph is moved down.
D. translated right 4 units
---The "-4" located with the x in f(x) tells us that the x-values are being changed. The only tricky thing about this is that the direction of the movement is actually the opposite of the sign. So with the negative/subtraction sign, the graph is moved to the right instead of the left.
Hope this helps!
To write a ratio as a fraction, we simply take the first number in the ratio and make it the numerator while taking the second number in the ratio and making it the denominator.
Because we want the ratio of engines to box cars, our ratio should be:
number of engines/number of box cars
When we substitute in our respective values, we get:
4/18
To simplify this ratio, we have to find the GCF, or greatest common factor of the numerator and the denominator, which in this case is 2. To simplify, we divide both the numerator and the denominator by the GCF, as follows:
4/2 / 18/2
When we simplify, we get:
2/9
Therefore, your answer is 2/9.
Hope this helps!
