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Masja [62]
4 years ago
10

Two sections of a class took the same quiz. Section A had 15 students who had a mean score of 80, and Section B had 20 students

who had a mean score of 90. Overall, what was the approximate mean score (to one decimal place) for all of the students on the quiz?
Mathematics
1 answer:
Alex17521 [72]4 years ago
7 0

Answer:

85.7

Step-by-step explanation:

Given that two sections of a class took the same quiz. Section A had 15 students who had a mean score of 80, and Section B had 20 students who had a mean score of 90.

Section A total score = 15*80=1200

Section B total score 20*90 = 1800

Overall total score=3000

Overall total students = 15+20 =35

Hence overall mean = \frac{3000}{35} \\=85.7143

rounding off to one decimal place

overall mean = 85.7

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<h3>Answer: Approximately 1038 mph</h3>

The more accurate value is 1037.51097384802

Round that however you need to.

=======================================

Explanation:

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C = pi*d

C = pi*7926

C = 7926pi

C = 24,900.2633723527

In 24 hours, a person at the equator travels roughly 24,900.2633723527 miles since the earth does a full rotation in this timespan.

Divide the two quantities distance over time to get the speed

rate = distance/time

rate = (24,900.2633723527 miles)/(24 hours)

rate = ( (24,900.2633723527)/(24) ) miles per hour

rate = 1,037.51097384802

rate = 1038 mph

I'm rounding to 4 sig figs since the diameter is given to be in four sig figs.

This speed of roughly 1038 mph is a linear speed and not an angular speed.

-----------------------------

Extra info (optional section)

Upon further research, I found an article from NASA JPL (jet propulsion laboratory) which states quote:

<em>"To make one complete rotation in 24 hours, a point near the equator of the Earth must move at close to 1000 miles per hour (1600 km/hr)"</em>

Their figure of 1000 mph seems to be a rough estimate, more or less. It's fairly close to the 1038 figure we got earlier.

8 0
3 years ago
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