Solved on Dec 04, 2023

Apportion 150 new electric vehicles to 3 university campuses based on student enrollment. Find the standard divisor, $SD$ , rounded to the nearest thousandth, given the student enrollment and FTE for each campus.

STEP 1

Assumptions
1. The total number of new electric vehicles is 150.
2. The vehicles will be distributed based on the number of students enrolled at each campus.
3. The standard divisor (SD) is calculated by dividing the total number of vehicles by the total student enrollment.

STEP 2

First, we need to find the total student enrollment across all three campuses. We can do this by adding the enrollment numbers for each campus.
$Total\, Enrollment = San\, Francisco\, Enrollment + Santa\, Barbara\, Enrollment + Santa\, Cruz\, Enrollment$

STEP 3

Now, plug in the given values for the enrollments at each campus to calculate the total enrollment.
$Total\, Enrollment = 18,140 + 21,016 + 15,012$

STEP 4

Calculate the total student enrollment.
$Total\, Enrollment = 18,140 + 21,016 + 15,012 = 54,168$

STEP 5

Now that we have the total student enrollment, we can find the standard divisor (SD). The SD is calculated by dividing the total number of vehicles by the total student enrollment.
$SD = Total\, number\, of\, vehicles / Total\, Enrollment$

STEP 6

Plug in the values for the total number of vehicles and the total enrollment to calculate the SD.
$SD = 150 / 54,168$

STEP 7

Calculate the standard divisor (SD).
$SD = 150 / 54,168 = 0.002768$

STEP 8

Round the SD to the nearest thousandth.
$SD = 0.003$
The standard divisor (SD) for the chosen pilot schools is 0.003.

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Apportion 150 new electric vehicles to 3 university campuses based on student enrollment. Find the standard divisor, $SD$ , rounded to the nearest thousandth, given the student enrollment and FTE for each campus.

STEP 1

Assumptions
1. The total number of new electric vehicles is 150.
2. The vehicles will be distributed based on the number of students enrolled at each campus.
3. The standard divisor (SD) is calculated by dividing the total number of vehicles by the total student enrollment.

STEP 2

First, we need to find the total student enrollment across all three campuses. We can do this by adding the enrollment numbers for each campus.
$Total\, Enrollment = San\, Francisco\, Enrollment + Santa\, Barbara\, Enrollment + Santa\, Cruz\, Enrollment$

STEP 3

Now, plug in the given values for the enrollments at each campus to calculate the total enrollment.
$Total\, Enrollment = 18,140 + 21,016 + 15,012$

STEP 4

Calculate the total student enrollment.
$Total\, Enrollment = 18,140 + 21,016 + 15,012 = 54,168$

STEP 5

Now that we have the total student enrollment, we can find the standard divisor (SD). The SD is calculated by dividing the total number of vehicles by the total student enrollment.
$SD = Total\, number\, of\, vehicles / Total\, Enrollment$

STEP 6

Plug in the values for the total number of vehicles and the total enrollment to calculate the SD.
$SD = 150 / 54,168$

STEP 7

Calculate the standard divisor (SD).
$SD = 150 / 54,168 = 0.002768$

STEP 8

Round the SD to the nearest thousandth.
$SD = 0.003$
The standard divisor (SD) for the chosen pilot schools is 0.003.

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Apportion 150 new electric vehicles to 3 university campuses based on student enrollment. Find the standard divisor, SDSDSD, rounded to the nearest thousandth, given the student enrollment and FTE for each campus.

STEP 1

Assumptions1. The total number of new electric vehicles is 150.2. The vehicles will be distributed based on the number of students enrolled at each campus.3. The standard divisor (SD) is calculated by dividing the total number of vehicles by the total student enrollment.

STEP 2

STEP 3

Now, plug in the given values for the enrollments at each campus to calculate the total enrollment.Total Enrollment=18,140+21,016+15,012Total\, Enrollment = 18,140 + 21,016 + 15,012TotalEnrollment=18,140+21,016+15,012

STEP 4

Calculate the total student enrollment.Total Enrollment=18,140+21,016+15,012=54,168Total\, Enrollment = 18,140 + 21,016 + 15,012 = 54,168TotalEnrollment=18,140+21,016+15,012=54,168

STEP 5

STEP 6

Plug in the values for the total number of vehicles and the total enrollment to calculate the SD.SD=150/54,168SD = 150 / 54,168SD=150/54,168

STEP 7

Calculate the standard divisor (SD).SD=150/54,168=0.002768SD = 150 / 54,168 = 0.002768SD=150/54,168=0.002768

STEP 8

Round the SD to the nearest thousandth.SD=0.003SD = 0.003SD=0.003The standard divisor (SD) for the chosen pilot schools is 0.003.

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

Apportion 150 new electric vehicles to 3 university campuses based on student enrollment. Find the standard divisor, $SD$ , rounded to the nearest thousandth, given the student enrollment and FTE for each campus.

Assumptions
1. The total number of new electric vehicles is 150.
2. The vehicles will be distributed based on the number of students enrolled at each campus.
3. The standard divisor (SD) is calculated by dividing the total number of vehicles by the total student enrollment.

Now, plug in the given values for the enrollments at each campus to calculate the total enrollment.
$Total\, Enrollment = 18,140 + 21,016 + 15,012$

Calculate the total student enrollment.
$Total\, Enrollment = 18,140 + 21,016 + 15,012 = 54,168$

Plug in the values for the total number of vehicles and the total enrollment to calculate the SD.
$SD = 150 / 54,168$

Calculate the standard divisor (SD).
$SD = 150 / 54,168 = 0.002768$

Round the SD to the nearest thousandth.
$SD = 0.003$
The standard divisor (SD) for the chosen pilot schools is 0.003.