Answer: Number 1 is c=89 ft
Number 2 is b=3 cm
Step-by-step explanation: a²+b²=c²
For number 1, 39 ft is a and 80 ft is b so
39²+80²=c² so 39² is 39x39=1521 and 80² is 80x80=6400 so 6400+1521=7921
7921=c² and the square root of 7921 is 89 so c=89 ft
For number 2, a=1.6 cm and c=3.4 cm so 3.4²-1.6²=b²
3.4² so 3.4x3.4 which is 11.56
1.6² so 1.6x1.6 which is 2.56
11.56-2.56=c² and 11.56-2.56=9
Square root of 9 is 3 so b=3
So number 2 answer is b=3 cm
I hope this helps
Answer:
(A) 0.0244
(B) 1 (not 1.47 as is calculated) since probability values are between 0 and 1; 0 and 1 inclusive
Step-by-step explanation:
The rare mutation only occurs in 1 generation, out of every 2048 generations. This implies that the next occurrence will fall in or within the next 2048 generations (2 generations in 4096 generations, will have the rare mutation).
(A) The probability of occurrence of this mutation at least once (at most infinity) in 50 generations of fruit flies will surely be less than, as 50 is less than 2048.
The accurate probability is gotten when 50 is divided by 2048
50÷2048 = 0.0244
(B) The probability of seeing this mutation at least once (at most infinity) in 3000 generations would have been 1.47 but for 3 reasons;
- The full question already tells that the mutation will occur once in every 2048 generations and 3000 is greater than 2048, hence there will be a sure occurrence within 3000 generations.
- Question (b) asks you to calculate the probability of seeing this mutation at least once in 3000 generations so, the probability is 1 (representing full probability).
- In probability theory or statistics, all probability values fall within 0 and 1; with 0 representing no occurrence at all and 1 representing full occurrence.
I believe the answer is 0.24
25
The triangle given by 9, unknown, and 15 and the triangle given by 15, unknown, and x are similar triangles and therefore 9:15 = 15:x
X is 25 in this case
