Answer: -1/9
Step by step explanation:
The common difference of an arithmetic sequence can be found by picking 2 consecutive terms, and subtracting the second from the first. For example, if I chose the terms 2 and 1 8/9, I would find the common difference by:
1 8/9 - 2, which is equal to -1/9.
You can confirm this by picking another pair of consecutive terms. Let's pick 1 7/9 and 1 2/3:
1 2/3 - 1 7/9 = -1/9, as 1 2/3 = 1 6/9, so 1 6/9 - 1 7/9 = -1/9
Answer:
(x, y ) → (x + 5, y - 3 )
Step-by-step explanation:
5 units right means add 5 to the x- coordinate
3 units down means subtract 3 from the y- coordinate
the translation rule is
(x, y ) → (x + 5, y - 3 )
Answer:
A graph that goes through (4, 0), (8, -3), (0, 3), and (-4, 6)
Step-by-step explanation:
Hello!
To find what this looks like it is easier to put it into slope-intercept form which is y = mx + b
To get our equation to look like that we have to get y by itself
3x + 4y = 12
Subtract 3x from both sides
4y = -3x + 12
Divide both sides by 4

We now know the y-intercept is (0, 3)
Now we follow the slope to give us more points
More points are (4, 0), (8, -3), and (-4, 6)
The answer would be a graph that goes through those points.
Hope this helps!
Answer:
0.0906
Step-by-step explanation:
Given that the prevalence of a certain type of tree allergy is 0.26 in the general population
X- the no of persons having tree allergy is binomial since each persons is independent of the other and there are two outcomes.
Here n = 100
Required probability = the probability that exactly 26 of them will have this allergy
=