Answer:
a) 2048
b)164
c)54
d) 11
Step-by-step explanation:
a) A coin has two faces.
Outcome possible =2^11= 2048
b) 8 heads possible outcome = 11!/8!3! = 3971688/241/920= 164 ways
c)2 heads outcome= 11!/2!8!= 39716800/725760=54
d) 7 heads= 11!/7!6! =39716800/3628800 = 11
Answer: The answer will be 8x.
Step-by-step explanation:
Answer:
Original side of triangle = 6 units
Step-by-step explanation:
Given:
Perimeter = 45 units
Scale factor = 2.5 (Increase)
Find:
Original side of triangle = ?
Computation:
Original Perimeter = Perimeter / Scale factor
Original Perimeter = 45 units / 2.5
Original Perimeter = 18 units
Perimeter of an equilateral triangle = 3 (Side)
18 units = 3 (Side)
Side = 6 units
Original side of triangle = 6 units
Answer:
<u>The correct answer is 1. Hurricanes</u>
Step-by-step explanation:
To successfully perform this study, the population to be analyzed must be the total hurricanes that have happened in the last 50 years. If the population is reduced to only hurricanes that have caused damages of more than US $ 1 Million, we would be skewing the research, leaving many of the dispersion and central tendency analysis invalid. The objective is to obtain conclusions from all hurricanes and not only from a subset of them.
Let amount invested at 6% be S
Then amount invested at 8% = 16,000 - S
We therefore have: .06(S) + .08(16,000 - S) = 1,140 .06S + 1,280 - .08S = 1,140 .06S - .08S = 1,140 - 1,280 - .02S = - 140 S, or amount invested at 6% = $ 7,000Amount invested at 8% = $16,000 - 7,000, or $ 9,000
