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3 years ago

Identify the median for the data summarized on the boxplot.

Mathematics

2 answers:

LuckyWell [14K]3 years ago

7 0

Answer:

a.17.5

Step-by-step explanation:

icang [17]3 years ago

3 0

Answer:

C. 23.5

Step-by-step explanation:

The median is the line in the middle of the inside of the box.

If we locate the line in the middle of the box, we can see that it is above the number 23.5.

Therefore, the median of this box plot is 23.5 and the correct answer is choice C.

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Find the critical numbers of the function. (Enter your answers as a comma-separated list. Use n to denote any arbitrary integer

AfilCa [17]

Answer:

$\theta = \cos^{-1} (\pm \frac{1}{2} )$

Step-by-step explanation:

The function is $g(\theta) = 8\cdot \theta - 2\cdot \tan \theta$ , whose first derivative is:

$g'(\theta) = 8 - 2\cdot \sec^{2}\theta$

Let equalize the derivative to zero:

$8 - 2\cdot \sec^{2}\theta=0$

$\sec^{2}\theta = 4$

$1 = 4\cdot \cos^{2}\theta$

$\cos \theta = \pm\sqrt {\frac{1}{4} }$

$\cos \theta = \pm \frac{1}{2}$

The solutions are given by the following inverse trigonometric function:

$\theta = \cos^{-1} (\pm \frac{1}{2} )$

6 0

3 years ago

Jackson rides his bike from his home for 30 minutes at a fast pace. He stops to rest for 20 minutes, and then continues riding i

Dimas [21]

Answer:

For the first 30 minutes, we will have a line with a given steepness, this will represent the 30 minutes riding at a fast pace.

Then he stops for 20 minutes, we will represent this with a constant line.

Then he again moves for another 30 minutes, but with a slower pace than in the first 30 minutes, then this line will be less steep than the first line.

A sketch of this situation can be seen below.

5 0

3 years ago

Considering the expression x/2 + y2. Which statements are true?Mark all that apply.

Svet_ta [14]

Answer:

D. 8/2 +(-10)² = 104

Step-by-step explanation:

To find which statements are true, evaluate the expression for the given variable values. You do this by putting the numbers in place of the respective variables, then doing the arithmetic.

The respective expression values are ...

A 83 ≠ 37 . . . . (4/2) +9² = 2 +81 = 83

B 31 ≠ 61

C 52 ≠ 61

D 104 =104 . . . . true statement

I find it less tedious to write a function into a calculator or spreadsheet and let it do the repetitive math. Examples of the calculation are shown above.