Find the interquartile range (IQR) for the following data set:
{5, 3,9, 1, 14, 6, 8, 9, 5, 8, 13, 3, 28, 7, 4, 2, 12, 8}

Answers

Answer 1
The interquartile range is 5!

Lol

Related Questions

Explain how you can check whether a number is written correctly in scientific notation.

Answers

Answer

Scientific notation review
A number is written in scientific notation when there is a number greater than or equal to 1 but less than 10 multiplied by a power of 10.
If we have a number greater than 10, we move the decimal point to the left until we have a number between 1 and 10. ...
Let's write 604 , 000 604{,}000 604,000 in scientific notation.

It’s the new update

3/8 x (1 - 1/3) (don’t answer the equation write the equation in word form)

Answers

Answer:

three-eighths multiplied by the difference of one and one-third.

Step-by-step explanation:

Convert equation to words

3/8 = three-eighths

x = multiplied

1 - 1/3 = difference of one and 1/3

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Solve the solution by substitution.

Y= —5x + 13
-6x + 6y = 6

Show/ explain your work

Answers

Answer:

the solution is (2, 3)

Step-by-step explanation:

Make this work easier by reducing the second equation:

-x + y = 1, or y = x + 1

Substititing x + 1 for y in the first equation, we get:

x + 1 = -5x + 13, or (after combining like terms):

6x = 12

Then x = 2, and bercause y = x + 1 (see above), y = 2 + 1 = 3

Then the solution is (2, 3)

A bakery sells cakes, cookies, and pastries. They wonder if customers are equally likely to buy each product
They take a sample of 200 recent purchases and record what was purchased (they are willing to treat this as
a random sample). Here are the results:
Product
Observed purchases
Cakes
65
Cookies Pastries
68
67
They want to perform a x' goodness-of-fit test to determine if these results suggest that one type of
product is more popular than the others.
What is the expected count of cake purchases?
You may round your answer to the nearest hundredth.
Expected:

Answers

Answer: The expected count of cake purchases is 66.67 (rounded to the hundreths).

Step-by-step explanation:  Hypothesis the bakery is trying to find is if customers are equally likely to buy each product and since the sample is 200, we would have to equally split that between the 3 categories, so the expected counts for Cakes, cookies, and pastries would all be 66.67 (rounded to the hundreths).

The expected count of cake purchases would be 66.67 (rounded to the hundredths).

What is the unitary method?

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

The results are given as:

Product   Observed purchases

Cakes        65

Cookies    68

Pastries     67

To find if customers are equally likely to buy each product and since the sample is 200,

we would have to equally split that between the 3 categories,

The expected count of cake purchases = 200/3

= 66.67

Thus, the expected counts for Cakes, cookies, and pastries would be 66.67 (rounded to the hundredths).

Learn more about the unitary method;

https://brainly.com/question/23423168

Rewrite in radical form 1/-3/6^x

Answers

Answer:

[tex] \frac{1}{ \frac{ - 3}{ {6}^{x} } } \\ = 1 \times \frac{ {6}^{x} }{ - 3} \\ = - \frac{ {6}^{x} }{3} [/tex]

Please help me with this question

Answers

Answer:

2377 10^3

hope this helped

Step-by-step explanation:

3 of 10 fish in the pond had spots. If there are 300 total fish, how many have spots?

Answers

Answer:

90 fish have spots

Step-by-step explanation:

cross multiply and divide:

3 x 300 = 900

900 ÷ 10 = 90

Answer:90

Step-by-step explanation:

3/10 = x/300

cross multiply

10x= 900

divide by 10

x= 90

HELP!!!!

What is the surface area of the figure below?

Answers

surface area= perimeter x height + 2b

s= pxh+2b

example: 18(8)+2(12)

explain:  18 is the perimeter and 8 is the height then you have to add the base times 2

What is the midpoint of AB need help?

Answers

Answer:

(0,0)

Step-by-step explanation:

The midpoint is (0,0) because as you can see in the graph the middle would be (0,0). However, if point A moved even one step further or closer the midpoint will also shift

Amelia received $4.15 in tips from one table. All of her tips were in quarters, dimes and nickels. There were five less dimes than quarters and three more nickels than twice the number of quarters. How many dimes did she have?

Answers

Answer:

the answer is 23.........

Which of the binomials below is a factor of this trinomial?
6x2 - 7x-5

A. 2x + 1
B. X+ 1
C. X-1
D. 2x-1

Answers

A. 2x+1 is the answer.

ILL BRAINLIEST YOU IF YOU GET IT RIGHT PLEASE HELP ME

Answers

Step-by-step explanation:

R' = (-2,0)

E' = (-2,2)

F' = (4,4)

A spinner with five equal-sized sections numbered 1 through 5 is shown. The spinner is spun twice and the product of the numbers in the sections where the arrow lands is calculated. What is the probability that the product of the numbers is even?
A.)1/16
B.)4/25
C.)1/2
D.)16/25

Answers

Answer: The Answer is D.) 16/25

Step-by-step explanation: I got it correct on Study Island

QwQ hate math exams will mark brainliest and it’s worth 30 points <3

Answers

Answer:

About 8.6 units.

If you count up and sideways, it would be 12, but then there is some stuff we need to calculate at the end because it's not fully.

Answer:

B , 8.6

Step-by-step explanation:

5^2 + 7^2 = 74

square root of 74 is 8.6 hen rounded

I just learned about this lol its the Pythagorean theorem

Please help with number 12

Answers

Answer:

61

Step-by-step explanation:

Answer:

Step-by-step explanation:

12)

we are told that ∠ABD = 61°

then we also know that ∠ADB = 61° b/c there are the equal legs of an isosceles triangle.

and we know by inspection that the ΔBCD is identical to ΔABD so it also has 61° angles so

∠ABC = 61 + 61 =122°

:)

The point A has coordinates (-5,6) What point do we get when we reflect point A across the x-axis?

Answers

Answer:

(-5,-6)

Step-by-step explanation:

smart

HELPP ASAP IS PLEASEEE DONT SEND A FILE AT ALL STEP BY STEP EXPLANATION

Answers

Answer:

x + 6 y - 4

Step-by-step explanation:

A moved 6 units to the right so plus 6 then moved 4 units down so minus 4


What value is a discontinuity of
(x2 + 3x -4)/(x2 + x -12)?

Answers

Answer:

x=-4 , x=3

Step-by-step explanation:

just did it on math-ways

what's the answer to 7n - 7 = 1 +8n

Answers

Answer:

N = -8

Hope this helps!

Mark me brainliest if I'm right :)

Find the value of x. Write your answer in simplest form.
2.
Х
Х
X=

Answers

Answer:

x=44

Step-by-step explanation:

since it's a 90 degree triangle

2x+2=90

2x=88

x=44

what is the solution to 1< 25-4x<19?

Answers

Hope this helps

Hope you have a good day

Which is greater 52.708 or 52.078

Answers

Answer:

52.708

Explanation:

It's 708 instead of 78 even rounded 52.708 would be more.

Answer:

52.708 is greater then 52.078

Step-by-step explanation:

Thats the answer!! Hope I could help u!! :)

Find the areas of a circle whose diameter is 21 cm​

Answers

Answer:

Your answer is 346.36059

Step-by-step explanation:

A = pi*r²

A = pi * 10.5²

A = pi * 110.25

A = 346.36059

We can write the the area of the circle as 110.25π square centimeter.

What is Area?

Area is a collection of two - dimensional points enclosed by a single dimensional line. Mathematically, we can write -

V = ∫∫F(x, y) dx dy

Given is a circle whose diameter is 21 cm​.

It is asked to find the area of a circle whose diameter is 21 cm​.

It is given that the diameter of the circle is -

d = 21 cm

r = d/2 = 21/2

r = 10.5 cm

We know that the area of the circle as -

Area = πr²

Area = π x 10.5 x 10.5

Area = 110.25π

So, it can be concluded that the area of the circle is 110.25π square centimeter.

Therefore, we can write the the area of the circle as 110.25π square centimeter.

To solve more questions on areas, visit the link-

https://brainly.com/question/29213222

#SPJ7

may someone please help me out

Answers

C. 700 units.

The formula for the surface area of a rectangular prism is: 2 ((Width × Length) + (Height × Length) + (Height × Width))

(14 × 12) + (7 × 12) + (7 × 14)

168 + 84 + 98 = 350

Now do 350 × 2 = 700

700 units squared.

Bradley had 25 baseball cards in his collection. He receives x number of baseball cards for his birthday.

Enter an equation that represents the total number of baseball cards, y, Bradley now has in his collection.

Answers

Answer:

25 + x = y

Step-by-step explanation:

He gets x(unknown amount of cards) so add that, and the total will equal y.

A bag contains 9 red marbles, 8 green marbles and 12 blue marbles.
What is the probability of picking a green or red marbles? *

Answers

Answer:

17/29 or 58.6%

Step-by-step explanation:

P(G or R) = 8/29 + 9/29 = 17/29

Over the last three evenings, Lena received a total of 111 phone calls at the call center. The third evening, she received 3 times as many calls as the first evening. The second evening, she received 9 fewer calls than the first evening. How many phone calls did she receive each evening?

Answers

Answer:

Lena famous or sum y she getting sm calls?!

Step-by-step explanation:

determine algebraically the zeros of f(x)=4x^3+32^2-36x

Answers

Answer:

x = 8

x = 1

Step-by-step explanation:

STEP 1:

Equation at the end of step 1

 (22x2 -  36x) +  32  = 0

STEP 2:

STEP 3: Pulling out like terms

3.1     Pull out like factors :

  4x2 - 36x + 32  =   4 • (x2 - 9x + 8)

Trying to factor by splitting the middle term

3.2     Factoring  x2 - 9x + 8

The first term is,  x2  its coefficient is  1 .

The middle term is,  -9x  its coefficient is  -9 .

The last term, "the constant", is  +8

Step-1 : Multiply the coefficient of the first term by the constant   1 • 8 = 8

Step-2 : Find two factors of  8  whose sum equals the coefficient of the middle term, which is   -9 .

     -8    +    -1    =    -9    That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -8  and  -1

                    x2 - 8x - 1x - 8

Step-4 : Add up the first 2 terms, pulling out like factors :

                   x • (x-8)

             Add up the last 2 terms, pulling out common factors :

                    1 • (x-8)

Step-5 : Add up the four terms of step 4 :

                   (x-1)  •  (x-8)

            Which is the desired factorization

Equation at the end of step

3

:

 4 • (x - 1) • (x - 8)  = 0

STEP

4

:

Theory - Roots of a product

4.1    A product of several terms equals zero.

When a product of two or more terms equals zero, then at least one of the terms must be zero.

We shall now solve each term = 0 separately

In other words, we are going to solve as many equations as there are terms in the product

Any solution of term = 0 solves product = 0 as well.

Equations which are never true:

4.2      Solve :    4   =  0

This equation has no solution.

A a non-zero constant never equals zero.

Solving a Single Variable Equation:

4.3      Solve  :    x-1 = 0

Add  1  to both sides of the equation :

                     x = 1

Solving a Single Variable Equation:

4.4      Solve  :    x-8 = 0

Add  8  to both sides of the equation :

                     x = 8

Supplement : Solving Quadratic Equation Directly

Solving    x2-9x+8  = 0   directly

Earlier we factored this polynomial by splitting the middle term. let us now solve the equation by Completing The Square and by using the Quadratic Formula

Parabola, Finding the Vertex:

5.1      Find the Vertex of   y = x2-9x+8

Parabolas have a highest or a lowest point called the Vertex .   Our parabola opens up and accordingly has a lowest point (AKA absolute minimum) .   We know this even before plotting  "y"  because the coefficient of the first term, 1 , is positive (greater than zero).

For any parabola,Ax2+Bx+C,the  x -coordinate of the vertex is given by  -B/(2A) . In our case the  x  coordinate is   4.5000  

Plugging into the parabola formula   4.5000  for  x  we can calculate the  y -coordinate :

 y = 1.0 * 4.50 * 4.50 - 9.0 * 4.50 + 8.0

or   y = -12.250

Parabola, Graphing Vertex and X-Intercepts :

Root plot for :  y = x2-9x+8

Axis of Symmetry (dashed)  {x}={ 4.50}

Vertex at  {x,y} = { 4.50,-12.25}

x -Intercepts (Roots) :

Root 1 at  {x,y} = { 1.00, 0.00}

Root 2 at  {x,y} = { 8.00, 0.00}

Solve Quadratic Equation by Completing The Square

5.2     Solving   x2-9x+8 = 0 by Completing The Square .

Subtract  8  from both side of the equation :

  x2-9x = -8

Now the clever bit: Take the coefficient of  x , which is  9 , divide by two, giving  9/2 , and finally square it giving  81/4

Add  81/4  to both sides of the equation :

 On the right hand side we have :

  -8  +  81/4    or,  (-8/1)+(81/4)

 The common denominator of the two fractions is  4   Adding  (-32/4)+(81/4)  gives  49/4

 So adding to both sides we finally get :

  x2-9x+(81/4) = 49/4

Adding  81/4  has completed the left hand side into a perfect square :

  x2-9x+(81/4)  =

  (x-(9/2)) • (x-(9/2))  =

 (x-(9/2))2

Things which are equal to the same thing are also equal to one another. Since

  x2-9x+(81/4) = 49/4 and

  x2-9x+(81/4) = (x-(9/2))2

then, according to the law of transitivity,

  (x-(9/2))2 = 49/4

We'll refer to this Equation as  Eq. #5.2.1  

The Square Root Principle says that When two things are equal, their square roots are equal.

Note that the square root of

  (x-(9/2))2   is

  (x-(9/2))2/2 =

 (x-(9/2))1 =

  x-(9/2)

Now, applying the Square Root Principle to  Eq. #5.2.1  we get:

  x-(9/2) = √ 49/4

Add  9/2  to both sides to obtain:

  x = 9/2 + √ 49/4

Since a square root has two values, one positive and the other negative

  x2 - 9x + 8 = 0

  has two solutions:

 x = 9/2 + √ 49/4

  or

 x = 9/2 - √ 49/4

Note that  √ 49/4 can be written as

 √ 49  / √ 4   which is 7 / 2

Solve Quadratic Equation using the Quadratic Formula

5.3     Solving    x2-9x+8 = 0 by the Quadratic Formula .

According to the Quadratic Formula,  x  , the solution for   Ax2+Bx+C  = 0  , where  A, B  and  C  are numbers, often called coefficients, is given by :

                                   

           - B  ±  √ B2-4AC

 x =   ————————

                     2A

 In our case,  A   =     1

                     B   =    -9

                     C   =   8

Accordingly,  B2  -  4AC   =

                    81 - 32 =

                    49

Applying the quadratic formula :

              9 ± √ 49

  x  =    —————

                   2

Can  √ 49 be simplified ?

Yes!   The prime factorization of  49   is

  7•7

To be able to remove something from under the radical, there have to be  2  instances of it (because we are taking a square i.e. second root).

√ 49   =  √ 7•7   =

               ±  7 • √ 1   =

               ±  7

So now we are looking at:

          x  =  ( 9 ± 7) / 2

Two real solutions:

x =(9+√49)/2=(9+7)/2= 8.000

or:

x =(9-√49)/2=(9-7)/2= 1.000

Two solutions were found :

x = 8

x = 1

What transformations are applied to the graph of the function f(x)=10^x to produce the function g(x)=3(10)^x-2


A.) a vertical dilation by a factor of 3 and a horizontal shift to the right 2 units

B.) a vertical dilation by a factor of 1/3 and a horizontal shift to the right 2 units

C.) a vertical dilation by a factor of 1/3 and a vertical shift down 2 units

D.) a vertical dilation by a factor of 3 and a vertical shift down 2 units

Answers

Answer:

D) A vertical dilation by a factor of 3 and a vertical shift down 2 units

Step-by-step explanation:

Given

f(x)=10^xg(x)=3(10)^x - 2

We see that:

g(x) = 3f(x) - 2

This is a vertical stretch by a factor of 3 and translation down 2 units

Correct choice is D

Simply your answer: 9 x 5/9

Answers

Answer:

5

Step-by-step explanation:

Cancel the common factor of  9

Answer:

5

Step-by-step explanation:

Simplify 9 × 5/9

=5

have a great day

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