Answer:
480,700 sets (first choice)
Step-by-step explanation:
If all 25 questions are different,
When order of selection counts:
P(25,7)
= 25!/(25-7)!
= 15511210043330985984000000/6402373705728000
= 2422728000
When order of selection does not count count:
C(25,7)
=25!/(7!*(25-7)!)
=15511210043330985984000000/(6402373705728000*5040)
= 480,700
Hope this helps, have a nice day.
Answer:
12.5% increase OR 112.5% Percentage of Change
Step-by-step explanation:
For this problem consider that our original maximum value is 96 square feet, but our new maximum value is 108 square feet. So to find the change as a percentage (in this case the increase) use the following formula:
Percentage of Change = ( New Maximum / Old Maximum ) * 100
So, let's use this formula to find the percentage change of the room.
Percentage of Change = ( 108 / 96 ) * 100
Percentage of Change = (1.125) * 100
Percentage of Change = 112.5
So the percentage of Change is 112.5%. Note, the old maximum is the point of comparison which is 100%.
So to find the increase, we will do 112.5% - 100% to get 12.5%. Hence, we have a 12.5% increase of a 108 square foot room compared to a room of 96 square feet.
Cheers.
Answer:
This statement is true.
Step-by-step explanation:
The absolute value is how far the number is from zero, so how many steps will it take on a number line to get from that particular number to zero?
Since you can't have negative steps, The -13 in absolute value would be 13.
The -(-13) is the same thing as saying -1 ( -13 ). Since negative times a negative is a positive, 13=13 is a true statement.
Answer:
Step-by-step explanation:
Simplifying
3.4 + 2(9.7 + -4.8x) = 61.2
3.4 + (9.7 * 2 + -4.8x * 2) = 61.2
3.4 + (19.4 + -9.6x) = 61.2
Combine like terms: 3.4 + 19.4 = 22.8
22.8 + -9.6x = 61.2
Solving
22.8 + -9.6x = 61.2
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-22.8' to each side of the equation.
22.8 + -22.8 + -9.6x = 61.2 + -22.8
Combine like terms: 22.8 + -22.8 = 0.0
0.0 + -9.6x = 61.2 + -22.8
-9.6x = 61.2 + -22.8
Combine like terms: 61.2 + -22.8 = 38.4
-9.6x = 38.4
Divide each side by '-9.6'.
x = -4
Simplifying
x = -4
