Create a set of 5 positive integers from 1-20 that have the same mean, median and range

(Multiple answers)

Given:

The figures of triangles and their mid segments.

To find:

The values of n.

Solution:

Mid-segment theorem: According to this theorem, mid segment of the triangle is a line segment that bisect the two sides of the triangle and parallel to third side, The measure of mid-segment is half of the parallel side.

9.

It is given that:

Length of mid-segment = 54

Length of parallel side = 3n

By using mid-segment theorem for the given triangle, we get

[tex]54=\dfrac{1}{2}(3n)[/tex]

[tex]2\times 54=3n[/tex]

[tex]108=3n[/tex]

Divide both side by 3.

[tex]\dfrac{108}{3}=n[/tex]

[tex]36=n[/tex]

Hence, the value of n is equal to 36.

10.

It is given that:

Length of mid-segment = 4n+5

Length of parallel side = 74

By using mid-segment theorem for the given triangle, we get

[tex]4n+5=\dfrac{1}{2}(74)[/tex]

[tex]4n+5=37[/tex]

[tex]4n=37-5[/tex]

[tex]4n=32[/tex]

Divide both side by 4.

[tex]n=\dfrac{32}{4}[/tex]

[tex]n=8[/tex]

Hence, the value of n is equal to 8.

Answer: okay sir

Step-by-step explanation:

Answer:

292600

Step-by-step explanation:

A local college is forming a six-member research committee having one administrator, three faculty members, and two students. There are seven administrators, 12 faculty members, and 20 students in contention for the committee. How many six-member committees are possible?

[tex]\frac{7!}{(7 - 1)! 1!} * \frac{12!}{(12 - 3)! 3!} *\frac{20!}{(20 - 2)!2!}[/tex] = 292600

there are seven administrators, and only one is needed. thus there are 7 ways to choose 1 administrator.

there are 12  faculty members, and only 3 are needed. thus there are 12 ways to choose 3 members

there are 20 students and only 2 are needed. thus there are 20 ways to choose 2 students

Answer: 1696.46

Step-by-step explanation:

6 x 6 x 3.14 = 113.1

24 x 24 x 3.14 = 1809.56

113.1 - 1809.56

thus we have 1696.46

sorry had to edit some things instead of one 6 its 6 x 6 and same with 24

Answer: A statistical question is one that can be answered by collecting data and where there will be variability in that data. This is different from a question that anticipates a deterministic answer.

Variability (also called spread or dispersion) refers to how spread out a set of data is. Variability gives you a way to describe how much data sets vary and allows you to use statistics to compare your data to other sets of data.

A histogram is a chart that groups data into classes and displays the frequencies for those classes, while a dot plot illustrates each individual observation along a horizontal number line.

The center is the median and/or mean of the data. The spread is the range of the data. And, the shape describes the type of graph.

The average of set of data that is calculated by dividing the sum of the data by the number of items in the set. ... Measures of central tendency are mean, median and mode. Outliers affect the mean value of the data but have little effect on the median or mode of a given set of data.

Answer:

39

Step-by-step explanation:

By linear pair angles and exterior angle theorems:

[tex]x \degree + (180 - 98) \degree = 180 \degree - (31 + 28) \degree \\ \\ x \degree + 82 \degree = 180 \degree -59\degree \\ \\ x \degree + 82 \degree = 121\degree \\ \\ x \degree = 121\degree - 82 \degree\\ \\ x \degree = 39 \degree\\ \\ x = 39[/tex]

Answer:

Systematic

Step-by-step explanation:

Samples may be classified as:

Convenient: Sample drawn from a conveniently available pool.

Random: Basically, put all the options into a hat and drawn some of them.

Systematic: Every kth element is taken. For example, you want to survey something on the street, you interview every 5th person, for example.

Cluster: Divides population into groups, called clusters, and each element in the cluster is surveyed.

Stratified: Also divides the population into groups. However, then only some elements of the group are surveyed.

In this question:

Every xth element, so systematic.

The inequality describing this situation is: 6x + 8y ≥ 720

Recall:

Given:

Given that Monika needs at least 720 pens, it means that total number of pens in boxes containing 6 and 8 pens respectively must be equal to or greater than 720.

Therefore, the inequality describing this situation is: 6x + 8y ≥ 720

Learn more about inequality on:

https://brainly.com/question/3013943

Answer:

the associative property

Step-by-step explanation:

the associative property allows the numbers to add regardless of how you group the numbers

Answer:

If height is in meters: 14044.4876 is the radius

If height is in kilometer: 444.1257 is the radius

Step-by-step explanation:

Answer:

the answer is 6 points

Step-by-step explanation:

14-8=6

Answer:

6 points is the answer

Step-by-step explanation:

because it's 14-8=6

→the numbers of given is 14,8

→and Minos it

→like this 14-8=6

and hope it helps

#carryonlearning

Answer:

270 per year so 6 years is 1620 and add that with 6000=7620

Answer:

B

Step-by-step explanation:

hope this helps with the work

Answer:

B

Step-by-step explanation:

That is 100% right so good luck

Answer:

C

Step-by-step explanation:

2/7+sqrt121 is just 2/7+11.

This is rational.

Answer:

2/7 + sqrt 121

Step-by-step explanation:

the square root of 121 is a whole number - 11, which is rational and makes the equation rational

Answer:

-110

Step-by-step explanation:

[tex]-\frac{x}{10} =11[/tex]

-x=11×10=110

x=-110

Answer:

its 94 on deltamath just did it

Step-by-step explanation:

Let t=0 represent the year 1997

Starting Value: 690

Write function:

y=690(b)^t

Now find the b-value:

y=390 when t=4 (2001−1997)

390=690(b)^4

390/690=690(b)^4/690

0.56521739=b^4

(0.56521739)^1/4=(b^4)^1/4

0.86706944=b

Write Complete Function:

y=690(0.86706944)^t

Find value in 2011 (use t=14):

y=690(0.86706944)^14

y=93.67062063

y≈94

Answer:

11.3 - 8.7n

Step-by-step explanation:

Its almost basically combining like terms

You subtract - 5.7n - 3n to get -8.7n, then you add 3.3 + 8 to get 11.3 and you finally put it an equation 11.3 - 8.7n

Answer:

74 adult tickets

Step-by-step explanation:

Create a system of equations where a is the number of adult tickets and c is the number of child tickets:

a + c = 238

17a + 14c = 3554

Solve by elimination by multiplying the top equation by -14:

-14a - 14c = -3332

17a + 14c = 3554

Add these together, and solve for a:

3a = 222

a = 74

So, 74 adult tickets were sold last night

Answer:

Function 1 has a greater rate of change.

Step-by-step explanation:

Function 1 has a rate of change of 3 because 3x is the slope of the line.

Function 2 has a rate of change of 1.5, because when you use rise/run, you get a slope of 3/2.

Function 3 has a rate of change of 2.  You use the formula (y2 - y1) / (x2 - x1) to find the slope. I used (0,0) and (1,2). When you plug in 2 for y2, 1 for x2, and 0 for y1 and 0 for x1, you get (2-0) / (1-0) which is 2/1. That equals a slope of 2.

Answer:

2/3

Step-by-step explanation:

Heres how I got 2/3

So first what we need to do is we need to figure out what 3/5 divided by 9/10 is.

So what we are going to do is we are going to do a method that my teachers toaught to me called Pemdas.

So we are going to line up 3/5 and 9/10 right next to eachother.

Then we are going to miltiply the top number of the first fraction by the bottom number of the first fraction and that will be our numerator or in other words first number in our next fraction. So that would end up being 30 because 3x10=30. So our next fraction would start with 30 so it would be 30/x because we dont have a denominator yet or in other words bottom number for our fraction.

So now what we need to do is multiply the bottom number of our first fraction by the top number of our second fraction and that will be 45 because 5 times 9 is 45. So our ansewer WOULD be 30/45 but they asked for it in the simplest form so we need to do that.

So what we need to do is start dividing the fraction 30/45 to make it the smalest fraction we can but keep in mind if you cant make this into another fraction than 30/45 is your ansewer because it is you simplest form. So what we are going to do is take 30/45 and start seeing if we can divide both of these numbers by a smaller number. So I know that 30 can be divided by 5 and so can 45 so after I divide 30 and 45 by 5 it would give me 6/9 as a fraction but wait you can divide 6/9 by 3 and if we divide 6 by 3 it would give us 2 and if we divide 9 by 3 it would give us 3 so our ansewer would end up being 2/3 and 2/3 cant be divided by anything so that IS YOUR ANSEWER 2/3. Have a wonderful day everyone!

Answer:

x= 4

x= 5

Step-by-step explanation:

7 + 2(4)/ 3 = 5

7 + 2(4)/3 = 5

7+8/3 = 5

15/3 = 5

3(5) +4/ 2 = 9.5

15+4/2 = 9.5

19/2 = 9.5

Answer:

14/3 as an improper fraction

Step-by-step explanation:

Step-by-step explanation:

3/2

Answer:

75.96

Step-by-step explanation:

Answer:

r = - 2

Step-by-step explanation:

The common ratio r of a geometric sequence is

r = [tex]\frac{a_{1} }{a_{1} }[/tex] = [tex]\frac{-18}{9}[/tex] = - 2

Answer:

y ar u gay

Step-by-step explanation:

Answer:

take 40 degree as reference angle

using sine rule

let opposite be x

sine 40=opposite/hypotenuse

0.64=x/7

0.64*7=x

4.48=x

Step-by-step explanation:

Answer:

$4.8

Step-by-step explanation:

According to the scenario, computation of the given data are as follows,

Price of each pillow = $3.20

Total number of pillows = 3

So, total amount after selling = Price of each pillow × Total number of pillows

= $3.20 × 3

= $9.60

Total number of girls = 2

So, Money each girl gets = total amount after selling ÷ Total number of girls

= $9.60 ÷ 2

= $4.8

Answer:

4 hot dog packages, and 3 packages of buns.

Step-by-step explanation:

This is a great way to make the customer buy more lol.

Hope this helps :)