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

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

Answer:

The radius of the circle is 20.6

Answer:

81

Step-by-step explanation:

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

give brainliest

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

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

From the task content;

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;

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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.

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.

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

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

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

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

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.

Given :-

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

Volume of Cylinder = πr²h

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

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

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!

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:)

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! : )

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

Step-by-step explanation:

Figure A is the triangular prism

Answer:

8π or 35.133 (3 d.p.)

Step-by-step explanation:

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]

Answer:

It's C -0.05 years of age per year

Step-by-step explanation:

Answer:

625

Step-by-step explanation:

I just did this question

[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]

Answer:

12+34+67+12

Step-by-step explanation:

im in 12th grade with straight as trust me

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]

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

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

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

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

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

        [tex]\sf{8x \: = \: 8[/tex]

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

       [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:

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]

Verifying : -

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

Therefore, our solution is correct .

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

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

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

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.

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,

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

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

Answer:

The answer is 14/50

Step-by-step explanation:

sin=opp/hyp

sin=14/50