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svp [43]
3 years ago
14

An instructor of a large college class gave an exam that has a possible total of 100 points. The instructor records the scores o

f 100 students from his class and produced the following histogram. The instructor says any score above a 90 is an A. Scores in the 80 to 89 range would be a B, scores between 70 and 79 would yield a C and below 70 would result in a failing grade.Which of the following are true?Select all that apply.a.The median grade lies between 76 and 84.b.The median grade is greater than the mean grade.c.The median grade is an Ad.The median grade is a B.e.The mean grade is greater than the median grade.f.The mean grade and the median grade are equal.
Mathematics
1 answer:
pishuonlain [190]3 years ago
4 0

Answer:

(a) the median grade lies between 76 and 84

(b) the Median grade is greater than the mean grade.

(d) the median grade is a B

Step-by-step explanation:

consider the histogram carefully and answer.

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Answer:

D is true, E is true, F is true

Step-by-step explanation:

Hello,

n is an odd number it means that n = 2a+1 where a is integer

A

n^2-1=(2a+1)^2-1=4a^2+4a+1-1=4a(a+1)

this is <u>not</u> an odd number

B

n(n-1)=(2a+1)2a

this is <u>not</u> an odd number

C

(n-1)^2=(2a+1-1)^2=4a^2

this is <u>not</u> an odd number

D

n^2+2=(2a+1)^2+2=4a^2+4a+1+2=4a^2+4a+3= 2(2a^2+2a+1)+1

so this is an odd number

E

n(n-2)=(2a+1)(2a-1)=4a^2-1=4a^2-2+1=2(2a^2-1)+1

so this is an odd number

F

(n-2)^2=(2a+1-2)^2=(2a-1)^2=4a^2-4a+1 = 2(2a^2-2a)+1

this is an odd number

hope this helps

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Step-by-step explanation:

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