What is the lower quartile of the following data set
53,49,43,59,63,76,40,71,47,66,57,30,48,58,35

Answers

Answer 1

The lower quartile is 43.


Related Questions

Lane loads his stuck with 3 tons of bricks. How many pounds of bricks does he have

Answers

6000 pounds?

2000 pounds in a ton

help i need help and this is due soon

Answers

Answer:

8π or 35.133 (3 d.p.)

Step-by-step explanation:

Volume of cone is [tex]V=\pi r^{2}\frac{h}{3}[/tex], where V is the volume, r is the radius, and h is the vertical heightSubstitute in the values[tex]V=\pi\times 2^{2}\times\frac{3}{3}[/tex][tex]V=4\pi\times 1[/tex][tex]V=4\pi[/tex]There are 2 cones, so times by 2This gives 8π

100 Points!! 0_0
Solve and check for extraneous solutions.

5(3x+1)^1/2=10

Please SHow Steps!!! WIll give the brainiest!!

Answers

[tex]5\sqrt{3x+1} = 10\\\\\implies \sqrt{3x+1} = \dfrac{10}5 \\\\\implies \sqrt{3x+1} = 2 \\\\\implies 3x +1 = 4\\\\\implies 3x = 4-1 \\\\\implies 3x = 3\\\\\implies x =1[/tex]

Answer:

x = 1

Step-by-step explanation:

Given equation:

[tex]\dfrac{5(3x+1)^1}{2} =10[/tex]

If a term has "1" as it's exponent, it means that it's the number itself. Therefore, we can remove the "exponent".

[tex]:\implies\dfrac{5(3x+1)}{2} =10[/tex]

Simplify the distributive property:

[tex]:\implies\dfrac{15x+5}{2} =10[/tex]

Using cross multiplication:

[tex]:\implies15x+5} =10 \times 2[/tex]

Simplify the R.H.S:

[tex]:\implies15x+5} =20[/tex]

Subtract 5 both sides:

[tex]:\implies15x+5 - 5} =20 - 5[/tex]

Simplify both sides:

[tex]:\implies15x} =15[/tex]

Divide 15 both sides:

[tex]:\implies\dfrac{15x}{15} } =\dfrac{15}{15}[/tex]

Simplify both sides:

[tex]:\implies x= 1[/tex]

Solve the linear equation
Please send the work as well

2/5x + 25= 4/5x + 30

Answers

Unknowns on one side, known on other.

2/5x - 4/5x = 30-25

-2/5x=5
X= -25/2
X=12.5

Answer:

x = 12 1/2

Step-by-step explanation:

Combine like terms, as follows:  25 - 30 = (4/5)x - (2/5)x, or

                                                            5     = (2/5)x

Multiplying both sides by (5/2) 'solves' this equation for x:

(5/2)(5) = (5/2)(2/5)x => (25/2) = x

Then x =25/2 or x = 12.5 or x = 12 1/2

26. The length of ABC is 110 ft. What is the radius
of circle D? Round to the nearest tenth.

Answers

Answer:

The radius of the circle is 20.6

Which of the following is least likely to be a warning sign that one's debt is at a critical point? a. all credit cards are at their limits b. having several credit cards c. making only minmum payments on credit cards d. using cash advances to pay bills please select the best answer from the choices provided. a b c d

Answers

The option which is least likely to be a warning sign that one's debt is at a critical point is having several credit cards.

What is a warning sign for credit cards?

The most likely warning sign for credit cards is not paying or clearing the debt of the credit card in full each month.

The options given in the problem are,

a. All credit cards are at their limits. b. Having several credit cards. c. Making only minimum payments on credit cards. d. Using cash advances to pay bills.

In these options, least likely to be a warning sign is having several credit cards as having multiple cards and well management of them required the carefulness and awareness.

Thus, the option which is least likely to be a warning sign that one's debt is at a critical point is having several credit cards.

Learn more about the credit card here;

https://brainly.com/question/25447015

y = 3x + 1, -x + 2y = -3

Answers

Answer:

X= -1 y= -2

Step-by-step explanation:

y= 3x+1

y-1 =3x

X= y-1/3...(1)

-x+2y= -3

-(x-2y)= -3

x-2y=3

(y-1/3)-2y =3 (from eq (1))

y-1-6y =3×3

-5y= 10

y= -2

X= y-1/3

= -2-1/3

x = -1

The table of ordered pairs gives an exponential function.
Write an equation for the function. NEED ASAP!!!

Answers

Answer:

12+34+67+12

Step-by-step explanation:

im in 12th grade with straight as trust me

12 and a 1/2 % of a day is how many hours

Answers

Answer:

3 hours

Step-by-step explanation:

12.5% of a day will be equal to :

12.5% of 24

10% is 2.4 hours

2.5% is 0.6 hours

adding these up gives us 3 hours.

Hope this helps and Brainliest please

can anyone solve this?​

Answers

Answer:

The answer is 14/50

Step-by-step explanation:

sin=opp/hyp

sin=14/50

amount if you decrese 35 by 20%​

Answers

Answer:

26.25

Step-by-step explanation:

So if you want to remove 25% from 35 you have to multiply the two you get 8.75 then minus that from 35 you get 26.25

Earl made a 1/2 pan of brownies using 2/3 cup of sugar How much sugar will it take for a whole pan of brownie

Answers

Answer:

It will take 4/3 cup of sugar or 1 and 1/3 cup of sugar

Step-by-step explanation:

1/2 + 1/2= 1

2/3 + 2/3=4/3 or 1 and 1/3

hope this helps:)

Determine the average rate of change in median age per year from 1930 to 1960

A. -0.5 years of age per year
B. 20 years of age per year
C. -0.05 years of age per year
D. +0.05 years of age per year

Answers

Answer:

It's C -0.05 years of age per year

Step-by-step explanation:

For the function y = x -2, make a table of ordered pairs and graph the function on a coordinate plane.​

Answers

Answer:

Step-by-step explanation:

Start by plugging in the x values -2, -1, 0, 1, and 2 into the equation to receive the y values.

For example, the first point on the table would be y=(-2)-2, or (-2, -4). Continue plugging in the points for all the points on the table

Solve it
x / 5 + (x - 1) / 3 = 1/5

Answers

Hello ~

My name is Irxdscent, and I will be answering your question today! :D

[tex]\huge\pmb{\frak{\underline{Answer:}}}[/tex]

[tex]\sf{x = 1}[/tex]

[tex]\huge\pmb{\frak{\underline{Explanation:}}}[/tex]

[tex]\sf{\frac{x}{5} \: + \: \frac{(x \: - \: 1)}{3} = \frac{1}{5}[/tex]

[tex]\sf{\frac{x}{5} \: + \: \frac{x \: - \: 1}{3} = \frac{1}{5}[/tex]

Find The Least Common Multipler of [tex]\bold{^5^,^3^: \: ^1^5}[/tex]  

       Multiply by LCM = [tex]\bold{15}[/tex]

       [tex]\sf{\frac{x}{5} \: . \: 15 \: + \frac{x \: - \: 1}{3} \: . \: 15 = \frac{1}{5} \: . \: 15}[/tex]  

Simplify :

        [tex]\sf{3x \: + \: 5(x \: - \: 1) = 3[/tex]

Expand [tex]\sf{^5^(^x \: ^- \: ^1^)^: \: ^5^x \: ^- \: ^5}[/tex]

        [tex]\sf{3x \: + \: 5x \: - \: 5 = 3}[/tex]

Add similar elements: [tex]\sf{^3^x \: ^+ \: ^5^x \: ^= \: ^8}[/tex]

        [tex]\sf{8x \: - \: 5 \: + \: 5 \: = 3 \: + \: 5}[/tex]

Simplify :

        [tex]\sf{8x \: = \: 8[/tex]

Divide both sides by [tex]\bold{8}[/tex]

        [tex]\sf{\frac{8x}{8} = \frac{8}{8}[/tex]

Simplify :

       [tex]\sf{x = 1}[/tex]

Hope It Helps! ~

~ Learn With Lrxdscent ~

[tex]\underline{Answer :}[/tex]

ɪ ʀ x ᴅ ꜱ ᴄ ᴇ ɴ ᴛ

Answer:

x = 1

Step-by-step explanation:

In the question we have given an equation that is x / 5 + ( x - 1 ) / 3 = 1 / 5 . And we are asking to solve the equation that means we have to find the value of x.

Solution : -

[tex] \longmapsto \qquad \dfrac{x}{5} + \dfrac{(x - 1)}{3} = \dfrac{1}{5} [/tex]

Step 1 : Bye taking L.C.M solving left side :

[tex] \longmapsto \qquad \dfrac{3x + 5(x - 1)}{15} = \dfrac{1}{5} [/tex]

On further calculations, We get :

[tex] \longmapsto \qquad \dfrac{3x + 5x - 5}{15} = \dfrac{1}{5} [/tex]

[tex] \longmapsto \qquad \dfrac{8x - 5}{15} = \dfrac{1}{5} [/tex]

Step 2 : Multiplying 15 on both sides :

[tex] \longmapsto \qquad \dfrac{8x - 5}{ \cancel{15}} \times \cancel{15 } = \dfrac{1}{ \cancel{5}} \times \cancel{15}[/tex]

On further calculations, We get :

[tex] \longmapsto \qquad 8x - 5 = 3[/tex]

Step 3 : Adding 5 on both sides :

[tex] \longmapsto \qquad8x - \cancel{5} + \cancel{ 5} = 3 + 5[/tex]

On further calculations, We get :

[tex] \longmapsto \qquad8x = 8[/tex]

Step 4 : Dividing with 8 on both sides :

[tex] \longmapsto \qquad \dfrac{ \cancel{8}x}{ \cancel{8}} = \cancel{\dfrac{8}{8} }[/tex]

On further calculations, We get :

[tex] \longmapsto \qquad \blue{\underline{\blue{\boxed{ \frak{x = 1}}}}}[/tex]

Henceforth, value of x is 1 .

Verifying : -

We are verifying our answer by substituting value of x in the given equation . So ,

x / 5 + ( x - 1 ) / 3 = 1 / 5

1 / 5 + (1 - 1 ) / 3 = 1 / 5

1 / 5 + 0 / 3 = 1 / 5 (0 / 3 is equal to 0)

1 / 5 + 0 = 1 / 5

1 / 5 = 1 / 5

L.H.S = R.H.S

Hence , Verified .

Therefore, our solution is correct .

#Keep Learning

What are three ratios that are equivalent to 16:12.

Answers

Answer:

4:3 = 8:6 = 12:9 = 16:12 = 20:15 = 24:18 = 28:21 = 32:24 = 36:27 = 40:30

Step-by-step explanation:

Answer:

8:4, 32:24, 48:36

Step-by-step explanation:

16 ÷3=8

12÷3=4

8:4

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

16 ×2=32

12×2=24

32:24

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

16×3=48

12×3=36

48:36

Hope this helps! Have a good day! : )

I am thinking of two numbers whose difference is 32. Twice the smaller number is 12 more than the larger number. What are my numbers?

Answers

Answer:
Smaller number = 44
Larger number = 76
Step-by-step explanation:
let x and y be the two numbers we are looking for and x ≤ y
we must interpret the statement “their difference is 32” like this:
y - x = 32
we must interpret the statement “Twice the smaller number is 12 more than the larger number” like this:
2x = y + 12

As a result we get this system of equations :
y - x = 32
2x = y + 12
Let’s solve it (We proceed by elimination) :
y - x = 32
2x = y + 12

-x + y = 32 We label this Equation (1)
2x - y = 12 We label this Equation (2)

(1) + (2) → -x + y + 2x - y = 32 + 12
then x = 44
Now we replace x in equation (1) we get -44 + y = 32
then y = 32 + 44 = 76


All the dimensions of a pentagon were multiplied by the same factor, and the area of the figure changed by a factor of 25. By what factor were the dimensions of the pentagon multiplied?


12. 5

625

5

50

Answers

Answer:

625

Step-by-step explanation:

I just did this question

Which of the following is a net of a triangular prism? A) Figure A B) Figure B C) Figure C D) None of these

Answers

Step-by-step explanation:

Figure A is the triangular prism

What is the value of x?



Enter your answer in the box.

x =

Answers

17.3

52÷3=17.3

if i am mistaken

Those are vertical angles which are equal to each other:


2x + 2 = 3x - 52

Add 52 to both sides:

2x + 54 = 3x

Subtract 2x from both sides:

54 = x

Rewrite as x = 54

On Tuesday 27% of the customers who bought gas at a gas station made additional purchases. There were 300 customers who bought gas. How many of these 300 customers made additional purchases?

Answers

Answer:

81

Step-by-step explanation:

how to calculate procentage:
300(total) x 27(procentage) : 100 = 81

give brainliest

PLEASE HELP I WILL GIVE YOU 5 STARS​

Answers

Answer:

3/4 lbs.

Step-by-step explanation:

In order to find how much more the heavier boxes weigh than the lighter boxes, we have to subtract the lighter box weight from the largest box weight.

Lighter box weight = 4 1/2

Heavier box weight = 5 1/4

Now we can find their difference:

The heavier box weight - lighter box weight = 5 1/4 - 4 1/2 = 21/4 - 9/2 = 21/4 - 18/4 = 3/4.

The heavier boxes weigh 3/4 lbs. more than the lighter boxes.

Answer:

3/4 lbs

Step-by-step explanation:

The heavier box weight - lighter box weight = 5 1/4 - 4 1/2 = 21/4 - 9/2 = 21/4 - 18/4 = 3/4.

The difference is:

The heavier boxes weigh 3/4 lbs. more than the lighter boxes.

Please may I have brainliest

What is the value of χ2 for the two-way table?
A B C D
X 5 10 15 20
Y 7 13 17 21
(2 points)
0.5320
0.0801
1.08
0.2830
0.9632

Answers

Answer:

0.2830

Step-by-step explanation:

Observed Values

Add totals for the rows and columns to the two-way table (see attachment 1).

Expected Values

Create an "Expected Values" table by multiplying each row total by each column total and dividing by the overall total (see attachment 2).

Chi-square test statistic

[tex]\sf \dfrac{(observed-expected)^2}{expected}[/tex]

Create a third table by using the formula to calculate the chi-square test statistic for each cell of the table (see attachments 3 and 4)

Chi-square

Add the values from the table in attachment 4.

[tex]\sf X^2=0.05556+0.03945+0.002315+0.05465+0.04789+0.03401+0.001996+0.04711[/tex] [tex]\implies \sf X^2=0.2830 \:(4 \:sf)[/tex]

check if 5/11 and 7/6 are rational numbers.

Answers

Answer:

  they are rational numbers

Step-by-step explanation:

Any fraction with integers in numerator and denominator is a rational number.

__

  5, 6, 7, 11 are integers, so the fractions 5/11 and 7/6 are rational numbers.

Anja divides (8x3 – 36x2 54x – 27) by (2x – 3) as shown below. what error does anja make? 2 x minus 3startlongdivisionsymbol 8 x cubed minus 36 x squared 54 x minus 27 endlongdivisionsymbol. minus 8 x cubed minus 12 x squared to get a remainder of negative 24 x squared 54 x. minus 24 x squared 36 x to get a remainder of 18 x minus 27. minus 18 x 27 to get a remainder of 0 and a quotient of 4 x squared minus 12 x 9 she makes a subtraction error. she makes an error choosing the x-term in the quotient. she makes a multiplication error. she makes an error rewriting the problem in long division.

Answers

Anja divides (8x3 – 36x2 54x – 27) by (2x – 3) in this process she makes a multiplication error.

We have given,

Anja divides (8x3 – 36x2 54x – 27) by (2x – 3)

2 x minus 3start long division symbol 8 x cubed minus 36 x squared 54 x minus 27 end long division symbol.

What is the division of polynomials?

To divide each term in the polynomial by the monomial, and then write each quotient in the lowest terms.

minus 8 x cubed minus, 12 x squared to get a remainder of negative 24 x squared 54 x.

minus 24 x squared 36 x to get a remainder of 18 x minus 27.

minus 18 x 27 to get a remainder of 0 and a quotient of 4 x squared minus 12 x 9.

Therefore we can conclude that she makes a multiplication error.

To learn more about the division of polynomials visit:

https://brainly.com/question/2264624

The Anja makes multiplication error, she writes 18x + 27 instead of 18x - 27 option third is correct.

What is polynomial?

Polynomial is the combination of variables and constants in a systematic manner with "n" number of power in ascending or descending order.

We have dividend polynomial:

[tex]\rm 8x^3 -36x^2+54x-27[/tex]

Divisor polynomial:

[tex]\rm 2x-3[/tex]

If divide [tex]\rm 8x^3 -36x^2+54x-27[/tex] by [tex]\rm 2x-3[/tex] we will get,  quotient polynomial[tex]\rm 4x^2-12x+9[/tex], and remainder is zero but in the process of Anja's divide she did multiplication error as:

9(2x - 3)  ⇒ 18x + 27

She put positive sign instead of negative.

The correct way of multiplication is as follows:

9(2x - 3) ⇒ 18x - 27

Thus, the Anja makes multiplication error, she writes 18x + 27 instead of 18x - 27 option third is correct.

Learn more about Polynomial here:

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everday at 9:15 am jessie takes his for a walk for 30 min he takes the next 2 hours to work on his computer before he eats lunch what time does he eat lunch

Answers

Answer:

11:45 AM

Step-by-step explanation:

9:15 +30 mins is 9:45

9:45 +2 hours is 11:45

Hope this helps!

A right cylinder with a diameter of 8 ft and a height of 15 ft. Help!!

Answers

Given :-

Diameter = 8ft , radius = 4ft.Height = 15ft

We can find Total Surface Area , Lateral Surface Area and Volume of Cylinder by given values.

Volume of Cylinder = πr²h

putting the known values ,

Volume = 3.14×4²×15 cubic feet

Volume = 753.6 cubic feet

Total Surface Area of Cylinder = 2πr(r+h)

TSA = 2×3.14×4(4+15) square feet

TSA = 477.28 square feet

Lateral Surface Area Of Cylinder = 2πrh

CSA = 2×3.14×4×15

CSA = 376.8 square feet

Omar thinks you should sell sundae cups and raspberry ripple cones. He recommends that the costs to you for frozen treats be no more than $450. Based on Omar's recommendation, enter an inequality that represents the
number of sundae cups, x, and the number of raspberry ripple cones, y, that will cost you no more than $450.

Answers

Considering that a sundae cone costs $5 and a raspberry ripple cone $7, the inequality is:

[tex]5x + 7y \leq 450[/tex]

What is the inequality that models this situation?

The total price can be no more than $450, hence:

[tex]T \leq 450[/tex]

To find the total price, we need the price of each a sundae cone and a raspberry ripple cone, which are not given. Hence, considering that a sundae cone costs $5 and a raspberry ripple cone $7, the total price is given by:

T = 5x + 7y

Hence, the inequality is:

[tex]5x + 7y \leq 450[/tex]

More can be learned about inequalities at https://brainly.com/question/25235995

I am less than my half and greater than my double. The sum of me and my square is zero.
Who
am I?

Answers

Answer: -1

Step-by-step explanation:

[tex]\frac{-1}{2}[/tex] is greater than -1 as it is closer to 0

[tex](2)-1=-2[/tex]

-1 is greater than -2 as -1 is closer to 0

[tex]-1+(-1)^2\\-1+1\\0[/tex]

The sum of -1 and its square is 0

The function H(n) describes the total amount of money a movie theater receives for n ticket sold.
which domain is appropriate for this function.

all integers
all real numbers
all positive integers and zero
or
all positive real numbers and zero

Answers

The domain which is appropriate for the function, H(n) is; all positive integers and zero.

Domain of functions

From the task content;

We are required to identify the domain which is most appropriate for the function.

On this note, we are required to determine the possible values for the number of tickets bought, n.

Ultimately, since tickets are whole, it follows that the appropriate domain for this function is; all positive integers and zero.

Read more on domain of functions;

https://brainly.com/question/1369616

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