Answer:
6
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
- |Absolute Value| - makes any number positive
Step-by-step explanation:
<u>Step 1: Define</u>
|bc|
a = 5
b = -3
c = -2
<u>Step 2: Evaluate</u>
- Substitute: |-3 · -2|
- Multiply: |6|
- Evaluate: 6
Given that there are 12 persons, the first choice may be in 12 different ways, the second choice may be in 11 different ways, ther third in 10 different ways, the fourth in 9 different ways and the fith in 8 different ways, for a total of:
12x11x10x9x8 different combinations.
Now you have to take in account that 5x4x3x2 are repetitions. So you have to divide the previos counting by 5x4x3x2.
(12x11x10x9x8)/(5x4x3x2) = 792 different subcommittees.
Also, you can use the formula for combinations: C(m,n) = m! / (n! (m-n)!)
C (12, 5) = 12! / (5!) (12-5)! = [12x11x10x9x8x7!] / [5! 7!] = [12x11x10x9x8]/[5x4x3x2] = 792
Answer:
sec (x)
Step-by-step explanation:
sec (x) tan (x) cos (x) csc (x) =
We know sec = 1/ cos
Tan = sin/cos
csc = 1/sin
Replacing into the expression
1/ cos (x) * sin(x)/ cos (x) * cos (x) * 1 / sin(x)
Canceling like terms
1/ cos (x)
sec(x)
Answer:x= 8/√3, y= 16/ √3
Step-by-step explanation:
See the picture below
Answer:
P(A and B) is greater than 1 is never happened ⇒ C
Step-by-step explanation:
Two events are independent if the result of the second event is not affected by the result of the first event
If A and B are independent events, the probability of both events is the product of the probabilities of the both events P (A and B) = P(A) · P(B)
∵ The probability of any event is less than 1
∵ P(A) < 1
∵ P(A) > 
- That means P(A) is greater than half and less than 1
∴
< P(A) < 1
∵ P(B) < 1
∵ P(B) > 
- That means P(B) is greater than half and less than 1
∴
< P(B) < 1
∵ P(A and B) = P(A) . P(B)
- Remember the product of any fractions less than 1 is less than 1
∴
< P(A) . P(B) < 1
- That means any expression equals to P(A) . P(B) must be greater
than
and less than 1
∴
< P(A and B) < 1
∴ P(A and B) is greater than 1 is never happened