The factorial ! just means we multiply by every natural number less that the value so
6! =6×5×4×3×2×1= 720
for permutations we use the formula n!/(n-r)!
so we have 8!/(8-5)!=8!/3!=8×7×6×5×4
for combinations s we have n!/(n-r)!r!
so we have 12!/(12-4)!4!=12!/8!4!=12×11×10×9/4×3×2=11×10×9/2=99×5
Answer:
Step 1) Convert the 3.15 percent to a decimal number.
To convert 3.15 percent to a decimal number, you divide 3.15 by 100. In other words, the quotient you get when you divide 3.15% by 100 is the decimal number.
3.15 ÷ 100 = 0.0315
Step 2) Convert the decimal number to a fraction.
To convert the decimal number to a fraction, we make the decimal number the numerator, and 1 the denominator.
0.0315 =
0.0315
1
Step 3) Remove the decimal point in the numerator.
To remove the decimal point in the numerator, multiply both the numerator and denominator by 10000.
0.0315 × 10000
1 × 10000
=
315
10000
Step 4) Simplify the fraction.
The greatest common factor of 315 and 10000 is 5. Therefore, to simplify the fraction, divide the numerator and denominator by 5.
315 ÷ 5
10000 ÷ 5
=
63
2000
Step 5) Convert the fraction to a ratio.
To convert the fraction to a ratio, replace the fraction divider line with a colon.
63
2000
= 63:2000
That was the final step. Below is the answer to 3.15 percent as a ratio.
3.15% = 63:2000
Step-by-step explanation:
8/200 is equivalent to 1/25 which as a decimal is 0.04
8/8=1
200/8=25
1/25=8/200
1/25=0.04
Answer:
The corresponding point is (1 , -8)
Step-by-step explanation:
∵ Point (4 , 8) on the graph of f(x)
∵ f(x+3) means the graph of f(x) moved horizontally 3 units to the left
∵ x-coordinate = 4 in f(x)
∴ x-coordinate = 4 - 3 = 1 in f(x+3)
∴The point is (1 , -8)
