The Greek alphabet contains 24 letters. How many fraternity names with Greek letters can be formed if each fraternity name contains 3 letters and repetition of letters is not permitted?a)69
B)12144
c)13824
Answers
The total number of combinations is thus: 24 x 23 x 22= 12,144
1st slot=24 options
2nd slot=23 options (1 went to 1st slot)
3rd slot=22 options (another to previous slot)
multiply them
24*23*22=12144 ways
B
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Answers
P ( P + W ) = 7/9 * 2/8 = 7/36
2. The probability of selecting two white marbles:
P( W + W ) = 2/9 * 1/8 = 1/36
3. P ( P +P ) = 7/9 * 6/8 = 21/36 = 7/12
The probability of selecting 2 purple marbles in a row is much greater than selecting two white marbles.
The probability of selecting a purple marble and then a white marble is 0.19.
The probability of selecting two white marbles is 0.03.
The probability of picking two purple marbles is greater.
What are the probabilities?
Probability is used to determine the likelihood that an event would occur.
The probability of selecting a purple marble and then a white marble = (number of purple marbles / total number of marbles) x (number of white marbles / total number of marbles- 1)
7/9 x 2/8 = 0.19
The probability of selecting two white marbles = (number of white marbles / total number of marbles) X (number of white marbles / total number of marbles- 1)
2/9 X 1/8 = 0.03
The probability of selecting two purple marbles = 7/9 x 6/8 = 0.58
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Answers
2=k/3
k=6
y=6/x
y=6/9=2/3
F(x)=[x]-2
Answers
Answer:
Shown below
Step-by-step explanation:
The most famous of the step functions is the greatest integer function, which is denoted by the parent function .
So, this function is defined as:
.
These are the characteristics of this function:
- The domain of the function is the set of all real numbers.
- The range of the function is the set of all integers.
- The graph has a
at
and
in the interval
- The graph is constant between each pair of consecutive integers.
- The graph jumps vertically one unit at each integer value.
The function represents the parent function shifted 2 units downward. Therefore, the correct option has been chosen in the attached figure.
Answers
We just keep adding
1/8 times 1=1/8
1/8 times 2=2/8
1/8 times 3=3/8
1/8 times 4=4/8
1/8 times 5=5/8
Group of answer choices
2x^2+20x+100
9x^2+24x+16
(7−3x)^2
(5x+4)(5x−4)
(1−2x)(−2x+1)
4^2+6+9/4
Answers
The expressions that are perfect squares are:
2x² + 20x + 100
9x² + 24x + 16
(7 - 3x)²
To determine which expressions are perfect squares, we need to check if they can be written in the form of (a + b)², where a and b are real numbers.
Let's go through each expression:
2x² + 20x + 100:
This expression can be factored as (x + 10)², so it is a perfect square.
9x² + 24x + 16:
This expression can be factored as (3x + 4)², so it is a perfect square.
(7 - 3x)²:
This expression is already in the form (a - b)², so it is a perfect square.
(5x + 4)(5x - 4):
This is the difference of squares, not a perfect square itself.
(1 - 2x)(-2x + 1):
This is the difference of squares, not a perfect square itself.
4² + 6 + 9/4:
Simplifying, we get 16 + 6 + 9/4 = 22 + 9/4.
This expression is not a perfect square.
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Answer:
2x^2+20x+100, 9x^2+24x+16, (1−2x)(−2x+1), (5x+4)(5x−4), (7−3x)^2
Answers
Answer:
distributive property because you must distribute the numbers in parenthesis
Step-by-step explanation: