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Alex Ar [27]
4 years ago
6

The head of the math department is studying the student scores on last year's basic skills test. She has determined the median s

tudent score was 70%. The upper quartile of the scores was 85%. Approximately what percentage of the students who took the test earned scores between 70% and 85%?
Mathematics
1 answer:
avanturin [10]4 years ago
7 0

Answer:

25%

Step-by-step explanation:

The median score of 70% indicates half of the student scored less than 70%.

An upper quartile of 85% means 3/4 of the students scored less than 85% or, stated in another way, 1/4 of the students scored above or equal to 85%.

From sentence 1, 50% of the students scored below 70%.

From sentence 1, 75% of the students scored below 85%.

The percentage that score between 70% and 85% is 75% - 50% = 25%

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Answer:

C. Z=51^{\circ}

Step-by-step explanation:

We have been given a triangle. We are asked to find the measure of angle Z using Law of cosines.

Law of cosines: c^2=a^2+b^2-2ab\cdot \text{cos}(C), where, a, b and c are sides opposite to angles A, B and C respectively.

Upon substituting our given values in law of cosines, we will get:

16^2=19^2+18^2-2(19)(18)\cdot \text{cos}(Z)

256=361+324-684\cdot \text{cos}(Z)

256=685-684\cdot \text{cos}(Z)

256-685=685-685-684\cdot \text{cos}(Z)

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\frac{-429}{-684}=\frac{-684\cdot \text{cos}(Z)}{-684}

0.627192982456=\text{cos}(Z)

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Now, we will use inverse cosine or arc-cos to solve for angle Z as:

Z=\text{cos}^{-1}(0.627192982456)

Z=51.1566718^{\circ}

Z\approx 51^{\circ}

Therefore, the measure of angle Z is approximately 51 degrees.

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3 years ago
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Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

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According to the condition

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Answer:

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Step-by-step explanation:

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