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Alchen [17]
2 years ago
7

A teacher gives a test to a large group of students. The results are closely approximated by a normal curve. The mean is 74​, wi

th a standard deviation of 8. The teacher wishes to give​ A's to the top 8​% of the students and​ F's to the bottom 8​%. A grade of B is given to the next 16​%, with​ D's given similarly. All other students get​ C's. Find the bottom cutoff for a grade of C.
Mathematics
1 answer:
Alinara [238K]2 years ago
6 0

Answer:

Step-by-step explanation:

Given that a teacher  gives a test to a large group of students. The results are closely approximated by a normal curve

mu =74 and sigma =8

A grade starts from 100-8 = 92nd percentile

Z score for 92nd percentile = 1.405

X score = 74+8(1.405) = 85.24

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

B cut off is to next 16%

Hence C would start for scores below 100-(8+16) = 76%

76th percentile = 0.705*8+74 =79.64

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Answer:

alternate interior angles theorem

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The alternate interior angles theorem states that when two parallel lines are cut by a transversal, the resulting angles produced are a pair of congruent alternate interior angles.

Given the image attached below, both line k and line l are parallel to each other and also, line t is the transversal, therefore the resulting congruent alternate interior angles produced are:

∠ 4 ≅ ∠6, ∠1 ≅ ∠7

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2 years ago
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The image shows parallel lines cut by a transversal. The expressions represent unknown angle measurements. What is the value of
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x = 8

Step-by-step explanation:

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Answer:

do you have a photo of the figure?

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Express f(x) = |x-2| +|x+2| in the non-modulus form. Hence, sketch the graph of f.
alexgriva [62]
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|x|=\begin{cases}x&\text{if }x\ge0\\-x&\text{if }x

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|x-2|+|x+2|=-(x-2)+(x+2)=4

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4 0
1 year ago
Suppose a shipment of 400 components contains 68 defective and 332 non-defective computer components. From the shipment you take
MrRissso [65]

Answer:

mean (μ) = 4.25

Step-by-step explanation:

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let q = probability of a non-defective computer components = \frac{332}{400} = 0.83

Given random sample n = 25

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mean (μ) = 25 X 0.17 = 4.25

<u>Conclusion</u>:-

mean (μ) =  4.25

6 0
2 years ago
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