MATHEMATICS HIGH SCHOOL

Find the mean, median, and interquartile for the data set below. Round your answer to the nearest tenth. 27,16,8,5,19,14,22,31,13,5,23,16,8

Answers

Answer 1

Answer:

Hence,

Mean=15.9

Median=16

Interquartile=14.5

Step-by-step explanation:

On arranging our data in the increasing order we get the data set as:

5 5 8 8 13 14 16 16 19 22 23 27 31

Now we find the mean as:

$Mean=(5+5+8+8+13+14+16+16+19+22+23+27+31)/(13)\n\nMean=(207)/(13)\n\nMean=15.92$

Now, we know that the median is the central tendency of the data and lie in the middle of the data.

Hence, by looking at the data we see that the middle value of the data is 16.

Hence, Median=16.

Now, the lower set of data is:

5 5 8 8 13 14

Now, the lower quartile is calculated as:

The middle value of the lower set of data is:

8 8

Hence, the lower quartile $]Q_1$ is middle of 8,8.

i.e. $(8+8)/(2)=8$

similarly the upper set of data is:

16 19 22 23 27 31.

Similarly the upper quartile is calculated as:

$Q_3=(22+23)/(2)=22.5$

Hence, interquartile range (IQR) is calculated as:

$Q_3-Q_1=22.5-8=14.5$

Hence,

Mean=15.9

Median=16

Interquartile=14.5

Answer 2

Answer: The mean is 15.92, the median is 16, and the interquartile range is 14.5

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What is the slope of a line perpendicular to 24x-9y=63

Answers

In order to find the slop it is probably best to put the equation in y=mx+b form. This means to get y by itself on one side.
24x-9y=63 will then become -9y=63-24x in which y has been isolated.
Then you should divided by -9 to get the final form: y=24x/9 -63/9.
Now you can get the slope of the perpendicular line by taking the slope of the original equation and finding its reciprocal which is -9/24x. This is your answer.

1. Given two parallel lines cut by a transversal, which sets of angles created are congruent?A. alternate interior angles
B. adjacent angles
C. interior angles on the same side of the transversal
D. supplementary angles
2. In the given figure, line p is parallel to line q. Which of the following describes the relationship between angles 8 and 6?
A. complementary angles
B. alternate interior angles
C. corresponding angles
D. vertical angles
3. In the given figure, line p is parallel to line q. Which of the following describes the relationship between angles 3 and 7?
A. complementary angles
B. alternate interior angles
C. corresponding angles
D. vertical angles
4. Which of the following is a characteristic of corresponding angles formed by two parallel lines and a transversal? (1 point)
A. Their measures are equal.
B. They are complementary.
C. Their measures are different.
D. They are supplementary.
5. Which of the following is a characteristic of alternate interior angles formed by two parallel lines and a transversal?
A. Their measures are different.
B. Their are complementary.
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D. Their measures are equal.

Answers

Answer:

Step-by-step explanation:

D supplementary angles

Kiran and his cousin work during the summer for a landscaping company. Kiran's cousin has been working for the company longer, so his pay is 30% more than Kiran's. Last week his cousin worked 27 hours, and Kiran worked 23 hours. Together, they earned $493.85. What is Karen's hourly pay ?

Answers

Answer:

8.5 $

Step-by-step explanation:

Let Kiran 's salary is x $ per hour

hence cousin 's salary is x+ 30% of x per hour

or x+0.3x or 1.3x per hour

cousin 's earning 27(1.3x) = 35.1 x

kiran 's earning 23x

hence 35.1x +23x = 493.85

58.1x = 493.85

x = 493.85/ 58.1

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AB¯¯¯¯¯ and BC¯¯¯¯¯ are tangent to ⊙ O. Identify BC.

Answers

Answer:

Step-by-step explanation:

$2(3x-7)=4x+8\nx=11\n4(11)+8=52$

A new online music service has a collection of 1,500 songs. It expects to triple the number of songs each year for the next few years. Write an equation representing the relationship, where x is time in years, and y is the number of songs available. a) y = 1500 * 3^x b) y = 1500 + 3x c) y = 1500 * x³ d) y = 1500 / (3^x)

Answers

Answer:

a) y = 1500 * 3^x

Step-by-step explanation:

This equation indicates that the number of songs available, y, is equal to the initial number of songs (1500) multiplied by 3 raised to the power of the number of years, x. This reflects the expectation that the collection of songs will triple each year.

construct the graph of x^2+y^2=9 what would this graph look like and what are its coordinates please help?

Answers

Answer:

The coordinates (3,0), (-3,0), (0,3) ,and (0,-3) helps us to draw the graph of the circle. Below is the explanation

Step-by-step explanation:

Given:

The equation of a circle is $x^(2) +y^(2) =9$ .

To find:

Graph the given equation.

Let's find the center and radius by comparing the given equation with the standard form.

$(x-h)^(2) +(y-k)^(2) =r^(2)$

We can rewrite our equation as $(x-0)^(2)+ (y-0)^(2)= 3^(2)$

Now, compare them

$(x-h)^(2) +(y-k)^(2) =r^(2)$

$(x-0)^(2)+ (y-0)^(2)= 3^(2)$

Center (h,k)=(0,0)

Radius r=3

Now, draw the graph of the circle by placing the center and radius.

So, the coordinates which are 3 units exactly from the center (0,0) help us to find the graph of the circle. So, (0,3), (0,-3), (3,0) ,and (-3,0) would help us to graph the circle.

You can learn more:

brainly.com/question/2870743

It would looks like circle with radius of 3 and its center at (0,0).

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