Utilize the! operation to determine the count of combinations.
8!/5! = 40,320/120 = 336
Answer:
15/28
Step-by-step explanation:
There are 28 participants total, with 15 being male, resulting in a fraction of 15/28
Step-by-step answer:
The base of the exponential function is set at 1.29 for a period of 7 days, which is expressed as
f(x) = 86*(1.29)^x
To determine the daily rate, divide the variable x by 7 (keeping x as the number of weeks), resulting in
f(x) = 86*1.29^(x/7)
Applying the exponent rule, b^(x/a) = b^(x*(1/a)) = (b^(1/a))^x
we can simplify by setting b=1.29, a=7 to arrive at
f(x) = 86*(1.29^(1/7))^x
f(x) = 86*(1.037)^x since evaluating 1.29^(1/7) yields approximately 1.037
Rounding 1.037 to 1.04 gives a (VERY) rough estimate function
f(x) = 86 * (1.04^x)
1.04 is only an approximation because 1.04^7 is expected to return 1.29, it actually results in 1.316; meanwhile, 1.037^7 returns 1.2896, which is much closer to 1.29.
Response:
The answer to the inquiry is 8 hours.
Step-by-step breakdown:
Information
Ladder length = 200 cm
Distance between rungs = 20 cm
Tide rise rate = 10 cm/h
Fifth rung =?
Procedure
1.- Determine the total height the tide must reach
Height = 20 cm x 4
= 80 cm as the first rung is touching the water.
2.- Calculate the time needed
Rate = distance / time
-Solve for time
Time = distance / rate
-Substitute values
Time = 80 cm / 10 cm/h
-Final outcome
Time = 8 hours.
