What is the first quartile, Qı, of the data set?
{23, 28, 28, 36, 56, 60, 61, 65, 70}
Enter your answer in the box.
Q1
---

Answers

Answer 1

Answer:

28

Step-by-step explanation:

take the median of the data set which is 56 and then take the median of the numbers before 56

28 is the median Q1 is 28

Answer 2

Answer:

28

Step-by-step explanation:

First step is to find the median of the data set.

The median is the middle value of the data arranged in ascending order. If there is not an exact value then it the average of the values either side of the middle.

23  28  28  36  56  60  61  65  70

                          ↑ median

The first quartile [tex]Q_{1}[/tex] is the middle value on the left side of the median.

23  28  28  36

          ↑

[tex]Q_{1}[/tex] = [tex]\frac{28+28}{2}[/tex] = [tex]\frac{56}{2}[/tex] = 28

 


Related Questions

Find the mean,median and range of the following list of values and choose the correct result.
8, 9, 10, 10, 10, 11, 11, 11, 12, 13​

Answers

Mean: 10.5

Median: 10.5

Range: 5

--------------------------------------------

To find the mean you order the numbers then add then divide.

Add

8+9+10+10+10+11+11+11+12+13=105

Divide

105÷10=10.5

Mean = 10.5

--------------------------------------------

Finding the median essentially involves finding the value in a data sample that has a physical location between the rest of the numbers.

Find the middle number. Put your left finger on 8 and your right finger on 13. Move your left finger to the right to 10 and move your right finger to 11.

the middle number is 10.5 so therefore it is the median.

--------------------------------------------

To find the range you subtract the biggest number to the smallest number.

Subtract

13-8=5

Therefore 5 is the range

Answer:

The median is 10.5 the range is 5 and the mean is 10.5

Step-by-step explanation:

To find the median you have to cross out each number till you get 2 since there are 10 numbers together then add 10 and 11 and get 21 divide by 2 which gives you 10.5 to find the mean add all the numbers then divide 105 by 10 and get 10.5 to find the range take 13-8 and get 5

Question 1 of 10
2 Points
Harry took out an 80/20 mortgage to buy a house costing $175,000. The first
(80%) mortgage has an interest rate of 4.75%, and the second (20%)
mortgage has an interest rate of 7.525%. Both the first mortgage and the
second mortgage are 30-year fixed-rate mortgages. What is his total
mortgage payment for this house?
A. $730.31
B. $975.63
C. $245.32
D. $805.87

Answers

Answer:

Its b got it correct

The total monthly mortgage payment for the house is $975.63

What is percentage?

A percentage is a number or ratio that can be expressed as a fraction of 100. A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, "%", although the abbreviations "pct.", "pct" and sometimes "pc" are also used. A percentage is a dimensionless number; it has no unit of measurement.

here, we have,

The principle amount is $175000

80% of 175000 is =  = $140000

20% of 175000 is =  = $35000

Emi formula is :

p*r*(1-r)^n/(1-r)^n-1

For 1st part:

p = 140000

r = 4.75/12/100=0.00395

n = 360

Putting values in formula we get

= $729.508

For 2nd part:

p = 35000

r = 7.525/12/100=0.00627

n = 360

Putting values in formula we get

= $245.301

Adding both the monthly payments:

974.809 dollars

This is closest to option A.

So, option A is the answer.

And for 30 years the mortgage payment will be = 351226.80 dollars

Hence, The total monthly mortgage payment for the house is $975.63.

To learn more on percentage click:

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Which graph represents this system?
3x+2y=-6
y=-x+2
2

Answers

Answer:

Look at the attched image

Hope it helped, mark as brainliest please :)

Sam is transferring files from his friend's laptop into his flash drive. This is the formula for the size of the files on Sam's friends drive S (measured in megabytes) as a function of time t (measured in seconds): S(t)=5t+45

Use the above information to answer the following:
When the transfer began the drive had___ megabytes of files on it

Every 10 seconds, an additional___ megabytes are transferred into the drive.

Answers

Answer:

1. 45 megabytes

2. 50 megabytes

Step-by-step explanation:

Given

S(t) = 5t + 45

Required

Find S(t) when the transfer began

And find the additional transfer size at interval of 10 seconds

When the file transfer initially began, the value of t is 0.

Given that S(t)=5t+45.

Substitute 0 for t

S(0)=5 * 0 + 45

S(0) = 0 + 45

S(0) = 45.

Hence, the hard drive had 45 megabytes on it when the transfer started.

At every interval of 10 seconds. We take t to be 10, 20, 30...seconds

When t = 10

S(t)=5t+45 becomes

S(10) = 5(10) + 45

S(10) = 50 + 45

S(10) = 95 megabytes

When t = 20

S(t)=5t+45 becomes

S(20) = 5(20) + 45

S(20) = 100 + 45

S(20) = 145 megabytes

When t = 30

S(t)=5t+45 becomes

S(30) = 5(30) + 45

S(30) = 150 + 45

S(30) = 195 megabytes

Calculating the difference

Difference = S(30) - S(20) or S(20) - S(10)

Difference = 195 - 145 or 145 - 95

Difference = 50 or 50

See that the difference is the same.

So, at every 10 seconds interval, there's an additional 50 megabytes transferred

choose all that apply 13^6+(13^8)(13^-4)/13^-2

Answers

Answer:

Step-by-step explanation:

answer:

step by step explanation:

PLEASE HELP!!

The figure is made up of a rectangle and 2 right triangles.

What is the area of the figure?


O 1259 units2

O 1292 units2

O 1413 units2

O 1566 units2

Answers

The rectangle is 28×34 and the two triangles are (1/2) 11 (28) and (1/2) (9)(34)

A = 28(34) +  (1/2) 11 (28) + (1/2) (9)(34)

A = 1259

Answer: 1259 sq units

Shane wrapped the kite with paper. How many square inches of paper did Shane use to cover the front and back? 45 POINTS

Answers

Answer:

576

Step-by-step explanation:

First off, we can use the area of a kite formula, (D1*D2)/2 to get the area of one side of the kite, which is simplified to 18 * 32 : which gets us 288. But because we are looking for the area of the front and back side, we multiply 288 by 2- getting the final answer of 576.

Answer:

576

Step-by-step explanation:

NEEED HELP NEED HELP!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

C

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

helpppppppppppppp meeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee plzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz ASAP ​

Answers

Answer:

7x=42

Solve:

7x=42

7x=42/7

/7

x = 6

6 is the maximum cost lisa can spend for each party favor bag.


6 Trendy T-Shirts has decided to manufacture a new design. It will
cost $400 plus $3 per shirt to produce them, and Trendy plans to
spend $5000 on advertising. The shirts will sell for $12 each.
A. How many shirts must be sold to break even (total cost equals
income from sales)?
B. What is Trendy's income (or total cost) for that many shirts?

Answers

Answer:

A)

400+3x+5000=12x

5400 = 9x

x =600

B)

Profit: zero (break even)

Total cost or Income from 600 Sales: $7200

Joseph's company offers a reimbursement package of $0.45 per mile plus
$175 a year for maintenance. If x represents the number of miles, which
equation below models C the total amount of reimbursement the company
offers?

•A. C = 0.45 + 175x
•B. C = 0.45x + 175
•C. C = 45 + 175x
•D. C = 45x + 175

Answers

Answer:

B

Step-by-step explanation:

175 is the yearly cost which is the constant

The cost is related to the miles so that’s why they’re multiplied together

The total amount of reimbursement the company offers will be C = 0.45x + 175. Then the correct option is B.

What is a linear equation?

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

Joseph's company offers a reimbursement package of $0.45 per mile plus $175 a year for maintenance.

Let 'x' be the number of miles and 'C' be the number total amount. Then the equation of the line is given as,

C = 0.45x + 175

The total amount of reimbursement the company offers will be C = 0.45x + 175. Then the correct option is B.

More about the linear equation link is given below.

https://brainly.com/question/11897796

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Please do this for points and brainleyst awnser

Answers

Just multiply the numbers
Question 1 Area = 126


Question 1 Volume = 1008


Question 2 Area = 27.5


Question 2 Volume = 116 7/8


Question 3 Area = .25


Question 3 Volume = .125


Question 4 Area = 9.61


Question 4 Volume = 27.791

HELP ME PLZZZZZZZ!!!!!!!!!!!!!!!!!!!!

Answers

Step-by-step explanation:

cross multiply

the answer is six

Answer:

j = 6

Step-by-step explanation:

2 × 5 = 10

so, j × 5 = 30

j = 30 / 5

j = 6

A system of two equations is shown below. What will you need to multiply the
top equation by in order to solve this system using the elimination method?
X+ y = 4
3x + 4y = 14
O A. 3
B. 4
C. -2
O D. -3

Answers

Answer:

the right answer is : -3

Step-by-step explanation:

[tex]\left \{ {{x+y=4} \atop {3x+4y=14}} \right. \\\left \{ {{-3(x+y)=-3*4} \atop {3x+4y=14}} \right. \\\left \{ {{-3x-3y=-12} \atop {3x+4y=14}} \right. \\\left \{ {{-3x-3y+3x+4y=2} \atop {3x+4y=14}} \right. \\\left \{ {{-3y+4y=2} \atop {3x+4y=14}} \right. \\\left \{ {{y=2} \atop {3x+4*2=14}} \right. \\\left \{ {{y=2} \atop {3x=14-8=6}} \right. \\\left \{ {{y=2} \atop {x=\frac{6}{3}=2 }} \right.[/tex]

A quadratic has been factored, as shown below:

f(x) = (x − 6)(x + 5)

What are the zeros of the quadratic?
a
6 and −5
b
6 and 5
c
-6 and 5
d
-6 and -5

Answers

Answer:

a

Step-by-step explanation:

Given

f(x) = (x - 6)(x + 5)

To find the zeros, let f(x) = 0, that is

(x - 6)(x + 5) = 0

Equate each factor to zero and solve for x

x - 6 = 0 ⇒ x = 6

x + 5 = 0 ⇒ x = - 5

The sum of two rational numbers is 2. If one of them is -13/5, find the other

Answers

So the right answer is 23/5

Look at the attached picture

Hope it will help you

Good luck on your assignment

Answer:

[tex] \frac{23}{5} [/tex]

Step-by-step explanation:

[tex]x + ( - \frac{13}{5} ) = 2 \\ x - \frac{13}{5} = 2 \\ x = 2 + \frac{13}{5} \\ x = \frac{10 + 13}{5} \\ x = \frac{23}{5} [/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Which operation should be done first in the expression below? 13 − 2 • 16 + 2

Answers

Answer:

Multiply (2 * 16)

Step-by-step explanation:

Our expression is 13 - 2 * 16 + 2. The two operations used here are addition (+) and multiplication (*).

Remember order of operations PEMDAS: Parentheses, Exponents, Multiplication, Division, Addition, and Subtraction.

We see that multiplication comes before addition, so we multiply 2 by 16 first:

13 - 2 * 16 + 2

13 - 32 + 2

Thus, the answer is multiply.

~ an aesthetics lover

Answer:

multiply

[tex](2 \times 16)[/tex]

Step-by-step explanation:

you have to do this sum according to BODMAS Theorem

B - bracketsO - orD - DivisionM - MultiplyA - additionS - subtract

so,

[tex]13 - 2 \times 16 + 2 \\ 13 - 32 + 2 \\ 13 - 30 \\ = ( - 17)[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Pls show me the work too

Answers

Answer:

1). Mean: 14.2

  Median: 13.5

Step-by-step explanation:

To calculate the mean, sum all values and divide by the number of values:

(13+16+14+17+13+12) / 6 ≈ 14.2

To calculate the median, order the values from small to large and take the middle value. If there is no middle. average the two values in the middle:

12,13,13,14,16,17

The median is (13+14)/2 = 13.5.

Using this explanation you should be able to find the rest.

The original cost of Sam’s investment is 10,000 after liquidating investment Sam calculate Israel we tried to be 10,700 what is the return on investment ROI the ROI on Sams investment is what percent

Answers

Answer:

The return on investment in dollar terms is $700

The return on investment as a percentage of cost of investment is 7%

Step-by-step explanation:

The return on investment is the value of the investment when liquidated minus the initial amount invested

Liquidated amount is $10,700

initial cost is $10,000

return on investment in dollar terms=$10,700-$10,000=$700

return on investment in % terms=dollar return on investment/initial cost of investment

dollar return is $700

initial cost of investment is $10,000

return on investment in % terms=$700/$10,000=7%

Yesterday, the price of a gallon of gas at five gas stations was $3.72, $3.87, $3.78, $4.09, and $3.989, respectively, but today each gas station raised its price by $0.08. What is today's mean price of a gallon of gas at the five stations?

A. 3.97
B. 4.05
C. 3.89
D. 3.81

Answers

Answer:

Option (A) 3.97.

Step-by-step explanation:

Price for one gallon of gas in gas station 1 = $3.72 (Yesterday)

Price for one gallon of gas in gas station 2 = $3.87 (Yesterday)

Price for one gallon of gas in gas station 3 = $3.78 (Yesterday)

Price for one gallon of gas in gas station 4 = $4.09 (Yesterday)

Price for one gallon of gas in gas station 5 = $3.989 (Yesterday)

Prise raised by each gas station Today = $0.08

Price for one gallon of gas in gas station 1 = $3.72 + $0.08

                                                                      =  $3.80 (Today)

Price for one gallon of gas in gas station 2 = $3.87 + $0.08

                                                                       =  $3.95 (Today)

Price for one gallon of gas in gas station 3 = $3.78 + $0.08

                                                                       =  $3.86 (Today)

Price for one gallon of gas in gas station 4 = $4.09 + $0.08

                                                                       =  $4.17 (Today)

Price for one gallon of gas in gas station 5 = $3.989 + $0.08

                                                                       =  $4.069 (Today)

Mean = Sum of the Terms Number of Terms / Total Number of Terms

          = $3.80 + $3.95 + $3.86 + $4.17 + $4.069 / 5

          = 19.849 / 5

          = 3.9694

          = 3.97 (Approximately)

As we can see that the Option (A) 3.97 correctly matches the answer.

So the correct answer is Option (A) 3.97.


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Use the data in the table to complete the statements.
Let x be the number of years since 1990. The year
2005 corresponds to an x-value of
The function that best models the data, with numerical
values rounded to the nearest hundredth, is f(x) =
x + 22.08.
Models have their limitations. For which year would this
model not make sense to use?

Answers

Answer:

Answer 1: 15

Answer 2: 11.55

Answer 3: 1985

Step-by-step explanation:

its the answers on edge 2020

Find def, help geometry

Answers

Answer:

d

Step-by-step explanation:

What is the volume of a cylinder, in cubic inches, with a height of 2 inches and a base diameter of 4 inches? Round to the nearest tenths place

Answers

Answer:

the answer for the volume of the cylinder is V≈25.13in³

Answer:

h=2         d=4  

r=4/2  , radius is half of the diameter

r=2

V=π  r^2h

V= π x (2)²×2

substitute variables into formula V=25.132741228718

the nearest tenths place V=25.1 inches

I need to find x in the angle

Answers

Answer:

88

Step-by-step explanation:

you do 120-32

Answer:

x = 58 degrees

Step-by-step explanation:

angle x and the 32 degree angle add up to 90 degrees.

so 90 - 32 = 58 degrees


Which expression is equivalent to ? Assume that the denominator does not equal zero.

Answers

Answer:

A) 4ab^2

Step-by-step explanation:

19*4 = 76

(a^2*b^3)/(a*b) = a*b^2

Implies, option A.

SOMEONE HELP PLSSS
suppose your friends parents invest $10,000 in an account paying 5% compounded annually. what will the balance be after 5 years?

Answers

Answer:

12,762.82$

Step-by-step explanation:

10,000(1+0.05)^5

In 1925, the population of a city was 90,000. Its
population increases by 2.1% per year. What will the population be in 2020?

Answers

Answer:

17,955,000

Step-by-step explanation:

Answer:

闭嘴黑鬼

Step-by-step explanation:

What is the area of the kite?

Answers

Answer:168

Step-by-step explanation:

.5×16×21

8×21

Answer: 336in ^2

Step-by-step explanation:

multiply 16*21 =336in^2

a pitcher contains 17.5 cups of iced tea. you drink 0.75 cup of tea each morning and 1.75 cups of tea each evening. when will you run out of iced tea?

Answers

Answer:

7 days

Step-by-step explanation:

Based on the amount of iced tea in the pitcher and the amount drank per day, you will run out of iced tea in 7 days.

The total number of cups drank per day is:

= 0.75 + 1.75

= 2.5 cups

With 2.5 cups being drank per day, the pitcher would last:

= Pitcher quantity / Cups per day

= 17.5/2.5

= 7 days

In conclusion, you will run out after 7 days.

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How many extraneous solutions does the equation below have? StartFraction 9 Over n squared + 1 EndFraction = StartFraction n + 3 Over 4 EndFraction 0 1 2 3

Answers

Answer:

a. 0

Step-by-step explanation:

hope this helps!

The solutions to the equation n³+3n²+n-33=0 are n=-11, n=-3, and n=1.

What is an equation?

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.

Given that, 9/(n²+1) = (n+3)/4.

Here, 9×4=(n²+1)×(n+3)

36=n²(n+3)+1(n+3)

36=n³+3n²+n+3

n³+3n²+n+3-36=0

n³+3n²+n-33=0

The equation n³+3n²+n-33=0 can be solved by factoring. The factors of -33 are -1 and 33. Since the coefficient of the n³ term is 1, this means that n-1 and n+33 are factors of the equation.

Dividing both sides of the equation by n-1, we get:

n²+3n+33/(n-1)=0

Factorizing the numerator, we get:

(n+11)(n+3)=0

Solving this equation, we get n=-11 and n=-3.

Therefore, the solutions to the equation n³+3n²+n-33=0 are n=-11, n=-3, and n=1.

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