Answer:
Boxplot is constructed using quartiles and 5 No. summary means including minimum value of data, 1st quartile, 2nd quartile, 3rd quartile and maximum value of data.
As data already in increasing order, we find quartiles using the following formula,
where n = No. of Observations.
∴, 1st Quartile,
2nd Quartile,
3rd Quartile,
Minimum value of data = 32 & Maximum value of data = 99
So, Values of 5 no. that are to ne include in Boxplot are 32, 55.5, 69.5, 80.5, 99.
BoxPlot is attached with this ans.
Answer: Proportional
Step-by-step explanation:
Gradient = 5
9 = 5 + c
C = 4
Answer:
Y=5x+4
Probability that first student prefers mechanical pen = 0.30
P(first student does not and second student does) = 0.70 * 0.3 = 0.21)
P( selecting 2 or fweer) = 0.30+ 0.21) = 0.51 or 51%
Answer:
f(x) = 2(x -3)² +5 or f(x) = 2x² -12x +23
Step-by-step explanation:
The equation of a quadratic is easily written in vertex form when the coordinates of the vertex are given. Here, the point one horizontal unit from the vertex is 2 vertical units higher, indicating the vertical scale factor is +2.
__
<h3>vertex form</h3>
The vertex form equation for a parabola is ...
f(x) = a(x -h)² +k . . . . . . vertex (h, k); vertical scale factor 'a'
<h3>equation</h3>
For vertex (h, k) = (3, 5) and vertical scale factor a=2, the vertex form equation of the parabola is ...
f(x) = 2(x -3)² +5 . . . . . vertex form equation
Expanded to standard form, this is ...
f(x) = 2(x² -6x +9) +5
f(x) = 2x² -12x +23 . . . . . standard form equation
