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.
The percentage in increase can be calculated as follows:
% of increase = (difference between new and old amounts / old value) *100
For Dario:
difference in values = 413 - 350 = 63
% of increase = (63/350)*100 = 18%
For Monica:
difference in values = 270 - 225 = 45
% of increase = 20%
Therefore,
Monica has higher percent of increase.
The difference in percents = 20% - 18% = 2%
Answer:
D = { -4,-1,3,5,6}
Step-by-step explanation:
The domain is the x values or the inputs
D = { 3,6,-1,5,-4}
We normally put them in order from smallest to largest
D = { -4,-1,3,5,6}
Answer:
sin−1(StartFraction 8.9 Over 10.9 EndFraction) = x
Step-by-step explanation:
From the given triangle JKL;
Hypotenuse KJ = 10.9
Length LJ is the opposite = 8.9cm
The angle LKJ is the angle opposite to side KJ = x
Using the SOH CAH TOA Identity;
sin theta = opp/hyp
sin LKJ = LJ/KJ
Sinx = 8.9/10.9
x = arcsin(8.9/10.9)
sin−1(StartFraction 8.9 Over 10.9 EndFraction) = x
<span>In the question "Harriet earns the same amount of money each day. Her gross pay at the end of 7 work days is 35h + 56 dollars. Which expression represents her gross pay each day"
To obtain the expression that represents her gross pay each day, we divide the given expression by 7 to get (35h + 56) / 7 = 35h / 7 + 56 / 7 = 5h + 8
Therefore, the expression that represents her gross pay each day is 5h + 8.</span>
