The question is not complete because it is not written correctly
Complete Question:
The drama club is holding auditions for five different parts in a one act play. If 9 people audition, how many ways can the roles be assigned?
a. 362,880
b. 15,120
c. 126
d. 120
Answer:
b. 15,120
Step-by-step explanation:
In other to solve the question above, we would use the formula for permutation.
This is because when assigning 5 DIFFERENT roles to 9 people, the order of assigning the roles is important. The formula for permutation, is used when order is involved.
Permutation (n, r) = nPr = n!/(n - r)!
In the above question,
n = 9 people
r = 5 different parts
9P5 = 9!/(9 - 5)!
= 9!/4! = 9×8×7×6×5×4×3×2×1/ 4×3×2×1
= 362880/ 24
= 15,120
Therefore, the number of ways that the roles can be assigned is 15,120 ways
Answer:
B. Customer Dimension
Step-by-step explanation:
Custom dimensions is used to collect and analyze data that Analytics doesn't capture. You can send value to custom dimensions with a variable that pulls data from web page or use layer to pass specific values.
If you want to view data by different user such as Bronze , Gold , Platinum level Google Analytics feature set up the Custom Dimensions to collect the data.
Answer:
3/8 + 1/4 < 1
Check: Find common denominators, what you do to the denominator, you do to the numerator. Multiply 2 to both the top and bottom of the fraction:
(1/4)(2/2) = 2/8
3/8 + 2/8 < 1
5/8 < 1
5/8 < 8/8 (True).
Any fraction works in the second one, for regardless, you will get less than a whole number, so solve the third one first.
The 2 fractions needed will have to be greater than 1. 1/4 has already been used, so find two pairs of fractions that will, when added, be greater than 1.
(7/8 + 3/4)
Find common denominators, what you do to the denominator, you must do to the numerator:
(7/8)(2/2) + (3/4)(4/4) = (14/16) + (12/16) = 26/16
26/16 > 1 (True).
Finally, the last one will be 2/3.
2/3 - 1/8 < 1
Find common denominators, what you do to the denominator, you must do to the numerator:
(2/3)(8/8) - (1/8)(3/3) < 1
16/24 - 3/24 < 1
13/24 < 1 (True).
~
Answer:
8 hours
Step-by-step explanation:
The time required is the temperature difference divided by the rate of change of temperature:
(-54 -42)°F/(-12 °F/h) = -96/-12 h = 8 h
1. -4x > -16...divide by -4 and change inequality sign
x < -16/-4
x < 4
2. -y/2 < 6 ...multiply both sides by 2
-y < 12 ...multiply both sides by -1 and change inequality sign
y > -12
3. -5a < -20....divide both sides by -5 and change inequality sign
a > -20/-5
a > 4
4. -b/2 > -1....multiply both sides by 2
-b > -2...multiply both sides by -1 and change inequality sign
b < 2
5. -4b < 24....divide both sides by -4 and change inequality sign
b > -24/4
b > - 6
6. -7c < -14....divide both sides by -7 and change inequality sign
c > -14/-7
c > 2
7. -d/3 > -9...multiply both sides by 3
-d > -27...multiply both sides by -1 and change inequality sign
d < 27
