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mafiozo [28]
3 years ago
14

an instructor grades on a curve by assuming that grades on a test are normally distributed. If the average grade is 80 and the s

tandard deviation is 8 find the test score for each grade interval if the instructor assigns grades
Mathematics
1 answer:
sweet [91]3 years ago
3 0

Step-by-step explanation:

According to normal distribution curves following a bell curve formula, it is followed that

34% of people will lie between Mean point and one positive standard deviation

34% of people will lie between Mean point and one negative standard deviation

14% of people will lie between Mean point and two positive standard deviation

14% of people will lie between Mean point and two negative standard deviation

2% of people will lie between Mean point and three positive standard deviation

2% of people will lie between Mean point and three negative standard deviation

Now following this principle, we are given that mean score is 80 and standard deviation is 8, hence the interval for grades would be;

Grade A ; Score greater than 96

Grade B : Score greater than 88 and less than or equal to 96

Grade C : Score greater than 80 and less than or equal to 88

Grade D : Score greater than 72 and less than or equal to 80

Grade E : Score greater than 64 and less than or equal to 72

Grade F : Score less than 64

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Is 1/3, 2/3, 4/3, 8/3, 16/3 arithmetic sequence
11111nata11111 [884]

The given sequence is not arithmetic sequence

<em><u>Solution:</u></em>

Given sequence is:

\frac{1}{3} , \frac{2}{3} , \frac{4}{3} , \frac{8}{3} , \frac{16}{3}

We have to find if the above sequence is arithmetic sequence or not

An arithmetic sequence is a sequence of numbers such that the difference of any two successive members of the sequence is a constant

<em><u>Here in the given sequence</u></em>

\text{ first term } = a_1 = \frac{1}{3}\\\\\text{ second term } = a_2 = \frac{2}{3}\\\\\text{ third term } = a_3 = \frac{4}{3}\\\\\text{ fourth term } = a_4 = \frac{8}{3}\\\\\text{ fifth term } = a_5 = \frac{16}{3}

<em><u>Let us find the difference between terms</u></em>

a_2 - a_1 = \frac{2}{3} - \frac{1}{3} = \frac{1}{3}

a_3 - a_2 = \frac{4}{3} - \frac{2}{3} = \frac{2}{3}

a_4 - a_3 = \frac{8}{3} - \frac{4}{3} = \frac{4}{3}

a_5 - a_4 = \frac{16}{3} - \frac{8}{3} = \frac{8}{3}

Thus the difference between terms is not constant

So the given sequence is not arithmetic sequence

5 0
3 years ago
Pls help me this is due in 30 minnutes
lys-0071 [83]

Answer:

The surface area is 88ft.

Just to let you know just in case if you have the same question is that the formula of finding the surface area of a rectangular prism is A = 2(wl + hl + hw)

8 0
3 years ago
Can someone please help me with math.
OlgaM077 [116]

Answer:

I got the first three but that's all I can do for now I have class as well currently. But for number 7 = 0, 8=15, 9= 71 and yeah best of luck on the last three.

5 0
3 years ago
Read 2 more answers
If Ac={vt2/r) and vt=2 and r=2 find Ac<br>a. 4<br><br>b. 2<br><br>C. 1<br><br>D. 8​
ankoles [38]

given: Ac=\frac{vt2}r \quad vt=2 \quad r=2

$\therefore Ac=\frac{(2)2}{2}=2$

5 0
3 years ago
3. Arrange these numbers from least to greatest. <br> -2.5<br> -1/3 1.7 27/4 -0.9
Svet_ta [14]

Answer:      -2.5,, -0.9,, -1/3,, 1.7,, 27/4

Step-by-step explanation:

6 0
3 years ago
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