Answer:
a
b
Step-by-step explanation:
From the question we are told that
The proportion that has outstanding balance is p = 0.20
The sample size is n = 15
Given that the properties of the binomial distribution apply, for a randomly selected number(X) of credit card
Generally the probability of finding 4 customers in a sample of 15 who have "maxed out" their credit cards is mathematically represented as
=> 
Here C stand for combination
=>
Generally the probability that 4 or fewer customers in the sample will have balances at the limit of the credit card is mathematically represented as
![P(X \le 4) = [ ^{15}C_0 * (0.20)^0 * (1 - 0.20)^{15-0}]+[ ^{15}C_1 * (0.20)^1 * (1 - 0.20)^{15-1}]+\cdots+[ ^{15}C_4 * (0.20)^4 * (1 - 0.20)^{15-4}]](https://tex.z-dn.net/?f=P%28X%20%5Cle%204%29%20%3D%20%20%5B%20%5E%7B15%7DC_0%20%2A%20%280.20%29%5E0%20%2A%20%281%20-%200.20%29%5E%7B15-0%7D%5D%2B%5B%20%5E%7B15%7DC_1%20%2A%20%280.20%29%5E1%20%2A%20%281%20-%200.20%29%5E%7B15-1%7D%5D%2B%5Ccdots%2B%5B%20%5E%7B15%7DC_4%20%2A%20%280.20%29%5E4%20%2A%20%281%20-%200.20%29%5E%7B15-4%7D%5D)
=>
Answer:
400 miles
Step-by-step explanation:
150 miles/3 hours=50 miles per hour
50 miles per hour x 8 hours=400 miles
The answer is 13.57
First 25/7 which is 3.57
Second add 10
The common difference is -1/4.
You can figure this out by subtracting each value in the sequence by the value right before it. Ex. 1/4 - 1/2 = -1/4
Answer:
Reformatting the input :
Changes made to your input should not affect the solution:
(1): "b2" was replaced by "b^2". 1 more similar replacement(s).
STEP
1
:
5a + 5b
Simplify ———————
a2 - b2
STEP
2
:
Pulling out like terms
2.1 Pull out like factors :
5a + 5b = 5 • (a + b)
Trying to factor as a Difference of Squares:
2.2 Factoring: a2 - b2
Theory : A difference of two perfect squares, A2 - B2 can be factored into (A+B) • (A-B)
Proof : (A+B) • (A-B) =
A2 - AB + BA - B2 =
A2 - AB + AB - B2 =
A2 - B2
Note : AB = BA is the commutative property of multiplication.
Note : - AB + AB equals zero and is therefore eliminated from the expression.
Check : a2 is the square of a1
Check : b2 is the square of b1
Factorization is : (a + b) • (a - b)
Canceling Out :
2.3 Cancel out (a + b) which appears on both sides of the fraction line.
Final result :
5 / a -b
Step-by-step explanation:
