Answer:
70
Step-by-step explanation:
If you use Pascal's Triangle, you will need 9 lines, since there are 9 terms in a binomial raised to the 8th power. Those 9 terms are:
1, 8, 28, 56, 70, 56, 28, 8, 1
The first expansion through the one we need are below (I hope you know how to use Pascal's Triangle!):
Start by finding the slope using m = (y2 - y1)/(x2 - x1). Substituting in you get (-1 + 3)/(6 - 3). So m = 2/3
Next, use y - y1 = m(x - x1) and substitute any of the coordinates in: y + 3 = 2/3(x - 3). That gives you y + 3 = (2/3)x - 2. So tha final answer is y = (2/3)x -5
For a known standard deviation, the confidence interval for sample size = n is
where
x = average
n = sample size
= stad. deviation
z = contant that reflects confidence interval
Let a = x
Let b =
From the given information,
a - b = 0.432 (1)
a + b = 0.52 (2)
Add (1) and (2): 2a = 0.952 => a = 0.476
Subtract (2) from (1): -2b = -0.088 => b = 0.044
Therefore, the confidence interval may be written as
(0.476 - 0.044, 0.476 + 0.044), or as
(0.476
0.044)
She saves 10 per week.......after 4 weeks, she had 90
so if she started with nothing, after 4 weeks she would have 40.....but for her to have 90, she would have had to have started with (90 - 40) = 50.
Think about it....she starts with 50....and then saves 10 for 4 weeks giving her 40......and now she has 40 + 50 = 90
so ur answer is : Roberta had $ 50 before she started to save money each week
I'm assuming you mean
we can factor that sum of perfect cubes from
into
so therefor
that is simpliest form
