A) The first step needs 100 bricks, the second needs 98, the third needs 96, and so on. Therefore the number of bricks for the nth step is: a_n = a_1 + d(n-1), where a_1 = 100 (the first term), d = -2 (difference).
a_n = 100 - 2(n-1) = 102 - 2n, and for the 30th step, a_30 = 102 - 2*30 = 42. So the top step will need 42 bricks.
b) The total staircase will need: 100 + 98 + 96 + ... + 44 + 42, and there are n = 30 terms. Using the formula for the sum of an arithmetic sequence:
S = (a_1 + a_n)*n/2 = (100 + 42)*30/2 = 2130
Therefore, 2130 bricks are required to build the entire staircase.
Answer:
113.44
Step-by-step explanation:
It can emulate the BIOS and many games at very slow speeds but is sometimes faster than Cxbx with acceptable graphics
Answer with explanation:
A x% confidence interval interprets the percentage of certainty that a person can believe that the true population parameter.
It is also represented as Point estimate ± Margin of error
Confidence level is proportional to the Margin of error.
- As confidence level increases the error bound increases that makes the confidence interval broader.
- As confidence level decreases the error bound decreases , making the confidence interval narrower.
Answer:
Step-by-step explanation:
The end behavior notation is at (4,3)
