Answer:
Part A
Please see attached the required stem and leaf plot
For the stem and leaf plot, the nonsplit system is used because of clarity for analysis
Part B:
From the shape of the stem and leaf plot we have that there is an average increase of pulse rate of 20 pulses in all the 19 students after the exercise
The shape of the plot is relatively the same for the before and after exercise save for the decrease in the third to the last row by one and the increase in the second to the last roe by one student
The spread remained relatively constant in both cases with the most being in the 60s range having 7 students in the before exercise and the 80s range having 8 students in the after exercise leaf plot.
Step-by-step explanation:
The given data are;
67
87
67
88
67
89
68
89
71
91
72 93
72 93
75 95
77 96
77 97
79 98
81 98
85 101
87 105
87 105
91 119
97 125
103 125
121 147
Answer:
<u>The original three-digit number is 417</u>
Step-by-step explanation:
Let's find out the solution to this problem, this way:
x = the two digits that are not 7
Original number = 10x+7
The value of the shifted number = 700 + x
Difference between the shifted number and the original number = 324
Therefore, we have:
324 = (700 + x) - (10x + 7)
324 = 700 + x - 10x - 7
9x = 693 - 324 (Like terms)
9x = 369
x = 369/9
x = 41
<u>The original three-digit number is 417</u>
There are no equations to choose from but it should look like the following.
a= # of adult tickets
s= # of student tickets
QUANTITY EQUATION
a + s= 560
COST EQUATION
$8a + $3s= $2905
***If you have to also solve for the number of adults and students, here are the steps.
STEP 1:
multiply quantity equation by -8
-8(a + s)= -8(560)
-8a - 8s= -4480
STEP 2:
add cost equation and step 1 equation
$8a + $3s= $2905
-8a - 8s= -4480
a term cancels out to zero
-5s= -1575
divide both sides by -5
s= 315 students
STEP 3:
substitute s=315 in quantity equation
a + s= 560
a + 315= 560
subtract 315 from both sides
a= 245 adults
ANSWER:
Quantity Equation
a + s= 560
Cost Equation
$8a + $3s= $2905
Hope this helps! :)
If you complete the square you get

and as any number squared is positive and 4 is positive, the result must be positive