What is the median score on the exam ? a) 70 b) 75 c) 77.5 d) 85

Mathematics

1 answer:

My name is Ann [436]2 years ago

4 0

Answer:

b) 75

Step-by-step explanation:

The median (middle quartile) marks the mid-point of the data and is shown by the line that divides the box into two parts.

Therefore, from inspection of the box plot diagram, the median is 75

Additional information

Lower quartile (Q1) = 70

Median (Q2) = 75

Upper quartile (Q3) = 85

IQR = Q3 - Q1 = 85 - 70 = 15

Minimum value = 55

Maximum value = 100

Range = Max - Min = 100 - 55 = 45

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Given a quadratic function in vertex form:

Alja [10]

Answer:

See below

Step-by-step explanation:

Part A

A vertical stretch takes place when $a\cdot f(x)$ given that $|a| > 1$

Part B

A vertical compression takes place when $a\cdot f(x)$ given that $0 < |a| < 1$

Part C

A vertical stretch is different than a horizontal compression:

In a vertical stretch, the input stays the same, but the output is multiplied by the scale factor
In a horizontal compression, the output stays the same, but the input is multiplied by the scale factor

Part D

A reflection across the x-axis means that the output, our y-variable, is the opposite sign. This means that all values of $a$ must be negative such that $a\cdot f(x)$ as mentioned in parts A and B. Also, in part C, since our scale factor is negative, the output is the only one being multiplied by the scale factor.