There are a total of 7C2 of options for Ryan's mom to choose.
If Ryan's mom picks Saturday and Sunday, this is the only 1 option in those 7C2 of options. Thus, the propability is (1 / 7C2) × 100% = 4.762%.
A graphing calculator shows the rocks are at the same height 1.5 seconds after they are released.
That height is 3.975 meters.
_____
f(x) = g(x)
-4.9x^2 +15 = -4.9x^2 +10x
15 = 10x . . . . . . . . . . . . . . . . . . add 4.9x^2
1.5 = x . . . . . . . . . . . . . . . . . . . divide by 10
f(1.5) = -4.9*2.25 +15 = 3.975
For the first letter drawn, there are no conditions/restrictions we need to consider. So, the number of ways to draw an i is:

For the second draw, the i is not replaced. That means, we've shrunk the sample space because we're dealing with less elements for the second draw. Firstly, one i disappears since we picked an "i" and there are 10 elements left, not 11.
Thus, to draw the second i, we have:

Answer: (0.641, 0.719)
Step-by-step explanation:
The confidence interval for population proportion is given by :-

Given : Level of significance : 
Then , significance level : 
Since , sample size :
, i.e. a large sample.
Critical value : 
Also, the proportion of individuals plan on voting yes :-

Then , the confidence interval at the 90% confidence level will be :-

Hence, the confidence interval at the 90% confidence level= (0.641, 0.719)
Let the longer piece be x+5
Let the shorter piece by x
Both the wires together make 31cm so
x + x + 5 = 31
2x + 5 = 31
2x = 26
x=13
The shorter piece of the wire is 13cm.