Answer:
Step-by-step Explanation:
The 44th percentile, 
, of the given data can be calculated using the kth formula for percentile given as:
where,
i = the ranking or the position of the percentile = ?
k = the percentile = 44
n = total number of the given data values = 23
Plug in the values into the formula to find "i"
Since "I", 10.56, is not an integer, round the number down, and round it up to the nearest integer, then look for the position each occupy in the ordered data set, and find their average.
Thus,
The data occupying the 10th position on the data set = 28.7
11th = 31.1
Answer:
time is 6.76 years
Step-by-step explanation:
given data
amount = $150
payment = $100
rate r = 6% = 0.06
to find out
time period t
solution
we know it is compounding continuous
so we will apply here formula that is
amount = payment × 
..........1
put here all value we get
amount = payment ×
150 = 100 × 
take ln both side
ln 1.5 =
0.40546 = 0.06t
t = 0.40546 / 0.06
t = 6.76
so time is 6.76 years
To find the average of the data
Area of the shaded region = area of big square minus area of little square.
Here is the set up:
Let A_s = area of shaded region.
A_s = (2x + 2)(3x - 4) - [(x - 3)(x - 6)]
Take it from here.
