Answer:
The change in x = Δx = -1
Step-by-step explanation:
Given the ordered pairs
Here,
Change in x can be calculated by subtracting the value of x₁ = 6 from x₂ = 5.
Change in x = Δx = x₂ - x₁ = 5 - 6 = -1
Thus, the change in x = Δx = -1
Answer:
1x-2y
Step-by-step explanation:
You have to go down 2 on the y-axis and over to the right 1 on the x axis
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.
Answer: 14⅝ hiurs
Step-by-step explanation:
Based on the information given in the question, we can form an equation which will be:
8 + 6h = 125
where, h = number of hours
6h = 125 - 8
6h = 117
h = 117/8
h = 14 ⅝hours
Therefore, minimum amount of hours he will need to walk the dog in order for him to buy a new pair of Jordans is 14⅝ hours.
Answer:
<u>The area of the hexagon is A. 96√3 cm²</u>
Step-by-step explanation:
Let's recall the formula of the area of an hexagon, this way:
Area = (3√3/2) * s²
Area = (3√3/2) * 8²
Area = (3√3/2) * 64
Area = 192√3/2
Area = 96√3 cm²
<u>The area of the hexagon is A. 96√3 cm²</u>
