Answer:
||u|| = sqrt((0 + 3)^2 + (4 + 2)^2) = 6.71
||v|| = sqrt((3 + 0)^2 + (3 + 2)^2) = 5.83
slope of u = 4/2 = 2
slope of v = 5/3
=> Option D is correct
Hope this helps!
:)
The ratio of x:y:z = 20:8:11
Total unit = 20+8+11 = 39
Value of 1 unit ratio = 78/39 = 2
So, the water in container X, 20(2) = 40 liters
Your answer is 40 liters
Answer:
b(n) = -23 + 18n
Step-by-step explanation:
NOTE - This is an arithmetic sequence, so each number is increasing by addition. If you were in a geometric sequence, however, you'd be multiplying. This means that the explicit formula for the geometric sequence you'll be learning later on will be different.
The formula for explicit formula is b(n)=b(1)+d(n-1). The variable d represents the common difference and the a is whatever number of the term you are using.
Since you have b(1), you look at what your first term is. Plug -5 into a(1).
To find your common difference, find 13-(-5). This is 18, and adding it to the others you can see that it continues.
So, plugging in what you have so far it looks like b(n) = -5 + 18(n - 1)
All we need to do now is simplify.
1. Distribute: -5 + 18n - 18
2. Add like terms: -23 + 18n
Hope this helped and made sense lol.
It loses value, sorry if this doesn’t help
Answer:
(a) The confidence interval is: 0.0304 ≤ π ≤ 0.0830.
(b) Upper confidence bound = 0.0787
Step-by-step explanation:
(a) The confidence interval for p (proportion) can be calculated as
NOTE: π is the proportion ot the population, but it is unknown. It can be estimated as p.
For a 95% two-sided confidence interval, z=±1.96, so
The confidence interval is: 0.0304 ≤ π ≤ 0.0830.
(b) The confidence interval now has only an upper limit, so z is now 1.64.
The confidence interval is: -∞ ≤ π ≤ 0.0787.