Answer:
The total surface area of a regular pyramidis the sum of the areas of its lateralfaces and its base. The general formula for thelateral surface area of a regular pyramidis where p represents the perimeter of thebase and SI the height of inclination.
Simplify the radical by breaking the radicand up into a product of known factors.
Exact Form:
11
√
6
Decimal Form:
26.94438717
Considering the number of questions incorrect from classmates on a quiz {10, 11, 12, 13, 13, 13, 14, 15, 16, 16, 17, 18, 18, 19,
IrinaK [193]
Answer:
According to the Empirical Rule, 68% of the data should fall between 11.98 and 18.02
Step-by-step explanation:
We are given the following data in the question:
10, 11, 12, 13, 13, 13, 14, 15, 16, 16, 17, 18, 18, 19, 20
Formula:
where 
are data points, 
is the mean and n is the number of observations.
Sum of squares of differences = 25 + 16 + 9 + 4 + 4+ 4 + 1 + 0+ 1+ 1 + 4 + 9 + 9+ 16 + 25 = 128
Empirical rule:
- According to this rule almost all the data lies within three standard deviation of the mean for a normal distribution.
- About 68% of data lies within one standard deviation of the mean.
- About 95% of data lies within two standard deviations of mean.
- Arround 99.7% of data lies within three standard deviation of mean.
Thus, by empirical rule,
According to the Empirical Rule, 68% of the data should fall between 11.98 and 18.02
Answer:
C. $824.74, $175.26
Step-by-step explanation:
1) Amount Credited
The formula to calculate the amount credited =
Amount paid ÷ ( 100% - Discount)
Discount is given in the question as 3/10
Where 3 = Discount rate
Amount paid = $800
Amount credited = 800/( 100% - 3%)
= 800/ 97%
= 800/ 0.97
= $824.74
b) Outstanding balance = Invoice - Amount credited
Invoice = $1000
Amount credited = $824.74
Outstanding balance = $1000 - $824.74
= $175.26
Answer:
A) arithmetic sequence
g(n) = 20 + 3n
Step-by-step explanation:
Each minute, the number of pages increases by 3, which means the common difference is 3 (because it is being added, not multiplied).
If there is a common difference, it's an arithmetic sequence. (Geometric sequences have common ratios.)
If she starts at 20 pages, then you just need to multiply 3 by the number of minutes passed (n) and add it to 20 to find the page she's on.
