Answer:
22.8 and 37.5
Step-by-step explanation:
Given the
The weights (in pounds) of 18 preschool children are
32, 20, 25, 27, 31, 22, 30, 23, 44, 37, 33, 45, 41, 24, 34, 21, 39, 29
To find its 20th percentile and 75th percentile.
In ascending order we get like this
Position X (Asc. Order)
1 20
2 21
3 22
4 23
5 24
6 25
7 27
8 29
9 30
10 31
11 32
12 33
13 34
14 37
15 39
16 41
17 44
18 45
Percentile position = (no of entries +1)20/100 = 19/5 = 3.8
Since posiiton is not integer we use interpolation method.
The value of 3.8 - 3 = 0.8 corresponds to the proportion of the distance between 22 and 23 where the percentile we are looking for is located at.
Hence 20th percentile =
So answer is 22.8
----------------------
75th percentile
Percentile posiiton = 19(75)/100 = 14.25
75th percentile=
First add 24.95 and 35.99. You get 60.94 (Remember This!)
Now you take 49.95 divided by 2. you should get: 24.975.
add 24.975 with 60.94. You get 85.915
take 85.915 and multiply it by 0.15. You get 12.88725.
Subtract 85.915 by 12.88725. You should get 73.02775.
Now multiply that by 0.045. you should get 3.28624875.
Add that onto 73.02775, and you get 76.31399875.
Round that to the nearest hundredth, and your done! (The answer is: 76.31!)
The answer will be the B.
What is the the x’s value?
Answer:
6 weeks
Step-by-step explanation:
Easier way to solve: If she takes 7 quizzes each week, 7 times something (amount of weeks) equals 42.
7 X <u>6</u> = 42
Solving with algebra: We know that hanna takes six quizzes a week and takes a total of 42 quizzes, therefore the unknown (x) is the amount of weeks she takes the quizzes.
Amount of weeks X amount of tests per weeks = 42 quizzes
<em>x </em>X 7 = 42
42/7 = 6
Answer: y = 3 (x -4)^3
Step-by-step explanation: horizontal shift of 4 units to the right (subtract 4 units from the x): y = 3(x - 4)^3
Vertical shift 3 units down (subtract 3 units from the function): y = 3(x - 4)^3 - 3