
Use FOIL to help expand the expressions
First
Outer
Inner
Last
When we foil out the expression we get:

Now start multiplying the expression to get:

Combine like terms; Final answer:
so A
Answer and Step-by-step explanation: P(X) calculated by the binomial probability formula is:
P(X) =
.
P(20) = ![\left[\begin{array}{ccc}53\\20\end{array}\right] .(0.3)^{20}.(1-0.3)^{33}](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D53%5C%5C20%5Cend%7Barray%7D%5Cright%5D%20.%280.3%29%5E%7B20%7D.%281-0.3%29%5E%7B33%7D)
P(20) = 
P(20) = 0.0552
To determine whether the normal distribution can be used to estimate this probability, both n.p and n.(1-p) must be greater than 5:
n . p = 53*0.3 = 15.9
n.(1-p) = 53(1-0.3) = 37.1
Since both ARE greater than 5, normal distribution can be used.
To approximate:
mean = n . p = 15.9
standard deviation =
= 3.34
Find the z-score:
z =
= 
z-score = 0.8907
Comparing values:
0.8907 - 0.0552 = 0.8355
9514 1404 393
Answer:
y = 12
Step-by-step explanation:
The angle bisector divides the sides proportionally.
y/6 = 8/4
y = 6·8/4
y = 12
Answer:Meepo
Step-by-step explanation:
Meepo
Answer:
The common difference is 14
Step-by-step explanation:
The series goes 11,25,39,53,67
To find the common difference, take the second term and subtract the first term.
25-11 = 14
Check with the third term and the second term
39-25 = 14
The common difference is 14