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Irina-Kira [14]
2 years ago
9

Which set of measurements can represent the lengths of a triangle's sides? Classify each set of lengths as a Triangle or Not a t

riangle Lengths of segments Triangle Not a triangle 1 in, 3 in, 7 in 3 in, 3 in, 7 in 3 in, 7 in 8 in o 3 in, 5 in, 7 in​

Mathematics
1 answer:
Alexxx [7]2 years ago
6 0
Answer:

1. Not a triangle
2. Not a triangle
3. Triangle
4. Triangle
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4. Professor Kingsfield's class follows very strict grading guidelines. Assume that student averages in Kingsfield's class are n
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<em>Answer:</em>

<em>For grade A ,a student needs Z score of 2 or above, the required score is</em>

<em> X = 68 + 12Z =92, For grade B, a student needs Z score between 1 and 2 . </em>

<em> The required score is = 68 + (12 * 1) < X = 68 + ( 12 * 2) = 80 < X < 92, For grade C ,a student needs Z score between -1 and 1 . The  required score is = 68 + ( 12 * x - 1) < X = 68 + (12 * x 1) = 56 <X<80. For the  grade D, a student needs Z score between -2 and -1 . </em>

<em> The required score is = 68 + (12 * x -2) < X = 68 + (12 * x -1) = 44< X< 56</em>

Step-by-step explanation:

<em>From the given question, </em>

<em>let the rv X represent student's score.</em>

<em>Z = x - 68/12  ~ N (0,1 )</em>

<em>Now, we know for a standard normal distribution</em>

<em>Thus,</em>

<em>For grade A ,a student needs Z score of 2 or above, the required score is</em>

<em> X = 68 + 12Z =92</em>

<em>For grade B, a student needs Z score between 1 and 2 . </em>

<em> The required score is = 68 + (12 * 1) < X = 68 + ( 12 * 2) = 80 < X < 92</em>

<em>For grade C ,a student needs Z score between -1 and 1 . </em>

<em> The  required score is = 68 + ( 12 * x - 1) < X = 68 + (12 * x 1) = 56 <X<80</em>

<em>For the  grade D, a student needs Z score between -2 and -1 . </em>

<em> The required score is = 68 + (12 * x -2) < X = 68 + (12 * x -1) = 44< X< 56</em>

<em>For student  with score less 44 gets an F.</em>

<em>Note: find an attached image for the graphic sketch of the normal distribution.</em>

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3 years ago
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