You can solve this easily by using Pascal's Triangle (look that up if need be).
Here are the first four rows of P. Triangle:
1
1 1
1 2 1
1 3 3 1
example: expand (a+b)^3.
Look at the 4th row. Borrow and use those coefficients:
1a^3 + 3 a^2b + 3ab^2 + b^3
Now expand (4x+3y)^3:
1(4x)^3 + 3(4x)^2(3y) + 3(4x)*(3y)^2 + (3y)^3
Look at the 2nd term (above):
3(4x)^2(3y) can be re-written as 144x^2y.
The coeff of the 2nd term is 144. Note that (4)^2 = 16
The area equation is
the trapezoid is actually on its side
so a=10.2
b=12.2
h=12.6
Answer:
Event is not unusual(p>0.05).
Step-by-step explanation:
Given that :
#The sample proportion is calculated as:
#Mathematically, the z-value is the value decreased by the mean then divided the standard deviation :
#We use the normal probability table to determine the corresponding probability;
Hence, the probaility is more than 0.05, thus the event not unusual and thus this is not necessarily evidence that the proportion of Americans who are afraid to fly has increased.
Answer:
Top left is A
Top right is B
Bottom left is D
Bottom right is A
Step-by-step explanation:
D. (2,3)
Explanation:
We already know that x=2, so of we plug in 2 for x, we should get the y value.
Once we plug in 2 for x we should get the equation:
2(2)+3y=13.
Simplify that and we get:
4+3y=13.
Subtract 4 from both sides and we get:
3y=9.
Divide both sides by 3 and we get:
y=3.
This means that your ordered pair should be (2,3).
Hope this helps :)
