We have points (-3, 4), (-1, 2), (4, -3) and (6,-5)
Let's verify it's a line by calculating the slopes between successive points.
Slope is change in y over change in x.
(2 - 4)/(-1 - -3) = -2/2 = -1
(-3 - 2)/(4 - -1) = -5/5 = -1
(-5 - -3)/(6 - 4) = -2/2 =-1
Yup. We have a line of slope -1 through point (-1, 2)
y - 2 = -1(x - -1)
y = -x - 1 + 2
y = -x + 1
That's the linear equation for the table.
Answer: Linear equation: y = -x + 1 slope = -1
Answer:
69
Step-by-step explanation:
nice ;)
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.
Ok so let's start with what we know- the shortest piece is 8 inches so there's one length... then the middle piece is 6 inches longer than the shortest (6+ 8) so the middle piece would be 14 inches long. To find the last piece we can add up the other two pieces we know (14+8) which would be 22 and subtract that from how long the whole sandwich is (59-22) which would be 37 inches long. So in the end he shortest piece would be 8 inches, the middle 14 inches and the longest 37 inches.
4:1 means for every four soccer player there is 1 volleyball player
that means there are four times the number of soccer players than volleyball players
