2. Given f(x) = 4x -2 and g(x) = x2 + 1, evaluate:

Find the values of the 30th and 90th percentiles of the data. Please show your work.

MaRussiya [10]

Answer:

30th percentile:109

90th percentile: 188

Step-by-step explanation:

The given data set is:

129, 113, 200, 100, 105, 132, 100, 176, 146, 152

We arrange the data set in ascending order to obtain;

Array= $100,100,105,113,129,132,146,176,200$

The 30th percentile is located at

$(\frac{30}{100}\times 10 )}$ -th position, where n=10 is the number of items in the data set

This implies that the 30th percentile is at the 3rd position.

Since 3 is an integer, the 30th percentile is the average of the 3rd and 4th occurrence in the array;

This implies that the 30th percentile = $\frac{105+113}{2}=\frac{218}{2}=109$

The 90th percentile is located at

$(\frac{90}{100}\times 10 )}$ -th position, where n=10 is the number of items in the data set

This implies that the 90th percentile is at the 9th position.

Since 9 is an integer, the 90th percentile is the average of the 9th and 10th occurrence in the array;

This implies that the 90th percentile = $\frac{176+200}{2}=\frac{376}{2}=188$

6 0

3 years ago

Line AB passes through points A(–6, 6) and B(12, 3). If the equation of the line is written in slope-intercept form, y = mx + b,

inn [45]

The formula of a slope:

$m=\dfrac{y_2-y_1}{x_2-x_1}$

We have the points A(-6, 6) and B(12, 3). Substitute:

$m=\dfrac{3-6}{12-(-6)}=\dfrac{-3}{18}=-\dfrac{3:3}{18:3}=-\dfrac{1}{6}$

Therefore we have $y=-\dfrac{1}{6}x+b$ .

Put the coordinates of the point B to the equation:

$3=-\dfrac{1}{6}(12)+b$

$3=-2+b$ add 2 to both sides

$5=b\to b=5$

Answer:

$m=-\dfrac{1}{6}\\\\b=5$

8 0

3 years ago

Which is the equation of a line that is parallel to the line represented by y= 7/6 x + 4 ?

Nesterboy [21]

In order for two lines to be parallel, they must have the dame slope. In this case, it is 7/6. So the new line Will have the next form:

y = 7/6x + b

Now, assuming that the new line passes through the point (1,1):

1 = 7/6*1 + b

b = -0.17

Replacing b:

y = 7/6x - 0.17

8 0

3 years ago

Read 2 more answers

NEEd help! Will help alot tysm!

xz_007 [3.2K]

Answer:

3rd one

Step-by-step explanation:

7 0

2 years ago

Read 2 more answers

How do you write the circumference of the circle in terms on 几

Thepotemich [5.8K]

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Hey!!!

The formula to find circumference of circle 

=2 pi r

For eg:

Radius=4 cm

Circumference of circle=2 pi r

 =2 *pi*4

 =8 pi

Hope it helps..

Good luck on your assignment

#Stay safe#

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6 0

3 years ago