The table of this question is in the attachments.
Answer and Step-by-step explanation: <u>Standard</u> <u>deviation</u> is a measure of how spread the data is from the mean. It is calculated as:
s = √∑(x - μ)² / n - 1
where μ is the mean of the set.
<u>Range</u> is the difference between the highest and lowest value of a data set.
(a) <u>Range of Traditional course</u>:
range = 80.4 - 56
range = 24.4
<u>Range of "flipped" course</u>:
range = 92.6 - 63.5
range = 29.1
Comparing ranges, the "flipped" course has more dispersion than the traditional.
(b) <u>Standard Deviation of Traditional course</u>:
mean = 71.6
s = 
s = 8.95
<u>Standard Deviation of "flipped" course</u>:
mean = 77.6
s = 
s = 8.3
Comparing standard deviation, traditional course has more dispersion.
(c) If you change one score, range for traditional will be:
range = 591 - 56
range = 535
Changing one score increase in almost 22 times the range for this category.
I end up with 625pi(27^2-14^2)
=635pi(504)
=315000pi lb-ft
3t = 5(3-t)
3t = 15 - 5t
3t + 5t = 15
8t = 15
t = 15/8
t = 1 7/8
7/8 * 60 mins = 52.50 minutes
t = 1 hour and 52.5 minutes
It took Stu 1 hour and 52.5 minutes to hike the trail one way.
Converting feet to inches, 8*12=96 and 96*4=384. Next, 40*12=480. Since 384*x (if x represents the cost per inch of crown molding)=16*100=1600 cents due to that for every inch, we add x amount of money, we can find x to be 1600/384=800/192=400/96=200/48=100/24=50/12=25/6 by simply dividing both the numerator and denominator by 2 each time. Since we add x amount of money for every inch, and we have 480 inches, 480*x=480*25/6=2000 cents=2000/100=20 dollars is our answer
Answer:
HJ = 8 JE = 4
Step-by-step explanation:
it is given that H is the midpoint of GE and J is the midpoint of FE. According to the midpoint theorem the line segment connecting the midpoint of two sides is parallel to the three side and its length is half of the third side. since JH is connecting the midpoints.
HJ= 1/2 (GF)
x + 3 = 1/2 (4x - 4)
x + 3 = 2x - 2
x = 5
^ Thus meaning the value of x is 5.
Now you just fill into your equations:
HJ = x + 3 = (5) + 3 = 8
JE = x - 1 = (5) - 1 = 4
Therefore, HJ = 8; JE = 4.
