using the digits 0-9 at most one time each fill in the boxes so that the fraction equals the decimal

Answer:

[tex]Median = 15.80[/tex]

[tex]Mode = 15.20\ \&\ 15.25[/tex]

[tex]IQR = 2.35[/tex]

Step-by-step explanation:

Given

[tex]15.60,\ 18.75,\ 14.60,\ 15.80,\ 14.35,[/tex]

[tex]13.90,\ 17.50,\ 17.55,\ 13.80,\ 14.20,[/tex]

[tex]19.05,\ 15.35,\ 15.20,\ 19.45,\ 15.95,[/tex]

[tex]16.50,\ 16.30,\ 15.25,\ 15.05,\ 19.10,[/tex]

[tex]15.20,\ 16.22,\ 17.75,\ 18.40,\ 15.25.[/tex]

Solving (a): The median and the mode

First, we sort the data.

[tex]13.80,\ 13.90,\ 14.20,\ 14.35,\ 14.60,\ 15.05,\ 15.20,\ 15.20,\ 15.25,\ 15.25,[/tex]

[tex]15.35,\ 15.60,\ 15.80,\ 15.95,\ 16.22,\ 16.30,\ 16.50,\ 17.50,\ 17.55,\ 17.75,[/tex]

[tex]18.40,\ 18.75,\ 19.05,\ 19.10,\ 19.45.[/tex]

The median position is:

[tex]Median = \frac{n + 1}{2}th[/tex]

[tex]Median = \frac{25 + 1}{2}[/tex]

[tex]Median = \frac{26}{2}[/tex]

[tex]Median = 13th[/tex]

The 13th item is: 15.80

Hence:

[tex]Median = 15.80[/tex]

The modes are:

[tex]Mode = 15.20\ \&\ 15.25[/tex] --- they both have frequency of 2 while others occur once

Solving (b): The interquartile range

This is calculated as:

[tex]IQR = Q_3 - Q_1[/tex]

Since the median is at the 13th position, Q1 is:

[tex]Q_1 = \frac{1 + 13}{2}th[/tex]

[tex]Q_1 = \frac{14}{2}th[/tex]

[tex]Q_1 = 7th[/tex]

The 7th item is: 15.20

[tex]Q_1 = 15.20[/tex]

Similarly, Q3 is:

[tex]Q_3 = \frac{13+n}{2}[/tex]

[tex]Q_3 = \frac{13+25}{2}[/tex]

[tex]Q_3 = \frac{38}{2}[/tex]

[tex]Q_3 = 19th[/tex]

The 7th item is: 17.55

So:

[tex]Q_3 = 17.55[/tex]

Hence,

[tex]IQR = 17.55 - 15.20[/tex]

[tex]IQR = 2.35[/tex]

Answer:

5⁴a²

Step-by-step explanation:

(5³a³)÷5a-¹×5-²a²

5³a³÷5a-¹×5-²a²

5³a³÷5¹-²×a-¹+²

5³a³÷5-¹a

5³a³/5-¹a

5³-(-¹)a³-¹

5⁴a²

Answer:

-8

Step-by-step explanation:

An equation at represents this situation is:

-5 = 3 + x

Find x by;

-5 - 3 = -8

So x is -8:

-5 = 3 + -8 (TRUE)

Hope this helps

[tex]\sf \bf {\boxed {\mathbb {GIVEN:}}}[/tex]

Sum of the two numbers = [tex]-5[/tex]

One of the number = [tex]3[/tex]

[tex]\sf \bf {\boxed {\mathbb {TO\:FIND:}}}[/tex]

The other number.

[tex]\sf \bf {\boxed {\mathbb {SOLUTION:}}}[/tex]

The other number is [tex]\sf\blue{-8}[/tex].

[tex]\sf \bf {\boxed {\mathbb {STEP-BY-STEP\:\:EXPLANATION:}}}[/tex]

Let the other number be [tex]x[/tex].

As per the question, we have

[tex]Sum \: \: of \: \: the \: \: two \: \: numbers = -5 [/tex]

[tex]➺ \: 3 + x = - 5[/tex]

[tex]➺ \: x = - 5 - 3[/tex]

[tex]➺ \: x = - 8[/tex]

[tex]\sf\purple{Therefore,\:the\:other\:number\:is\:-8.}[/tex]

[tex]\sf \bf {\boxed {\mathbb {TO\:VERIFY :}}}[/tex]

[tex] ➪ \: 3 + ( - 8) = - 5[/tex]

[tex] ➪ \: 3 - 8 = - 5[/tex]

[tex] ➪ \: - 5 = - 5[/tex]

➪ L. H. S. = R. H. S.

[tex]\sf\orange{Hence\:verified.}[/tex]

[tex]\red{\large\qquad \qquad \underline{ \pmb{{ \mathbb{ \maltese \: \: Mystique35\:ヅ}}}}}[/tex]

Answer:

its x=-3

Step-by-step explanation:

Answer:

height is 76.2 centimeters

9514 1404 393

Answer:

  437.3 ft

Step-by-step explanation:

The relevant trig relation is ...

  Cos = Adjacent/Hypotenuse

  cos(29°) = x/(500 ft)

  x = (500 ft)cos(29°)

  x ≈ 437.3 ft

[tex]\implies {\blue {\boxed {\boxed {\purple {\sf { \: 28 {x}^{3} + 48 {x}^{2} + 62x + 30}}}}}}[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]

[tex](4 {x}^{2} + 4x + 6)(7x + 5)[/tex]

[tex] = \: 7x(4 {x}^{2} + 4x + 6) + 5(4 {x}^{2} + 4x + 6)[/tex]

[tex] = \: 28 {x}^{3} + 28 {x}^{2} + 42x + 20 {x}^{2} + 20x + 30[/tex]

Combining like terms, we have

[tex] = \: 28 {x}^{3} + (28 {x}^{2} + 20 {x}^{2} ) + (42x + 20x) + 30[/tex]

[tex] = \: 28 {x}^{3} + 48 {x}^{2} + 62x + 30[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{❦}}}}}[/tex]

Here,

2x+3x+5x = 180 (sum of all angles of triangle are equal to 180)

or, 10x = 180

or, x = 180/10

x = 18

Therefore, the value of x is 18.

Hope this solution may help you☺

Answer:

2x + 3x + 5x = 180(sum of all the interior angles of a triangle is 180° )

10x = 180°

x=180/10

x = 18°

Answer:

Option (4)

Step-by-step explanation:

From the graph attached,

We have to find the interval in which the function is less than zero or negative.

Value of the function are along the y-axis and negative value of the function means negative side of the y-axis.

In the graph, function is below the x-axis in the interval x > 4 and x = 6 only.

Therefore, in the interval (4, 6] function f(x) < 0.

Option (4) is the correct option.

Answer:

its D

Step-by-step explanation:

Answer:

its D

Step-by-step explanation:

there is 5 unshaded and one shaded

Answer:

Hope it will help you!!!!

Answer:

50

Step-by-step explanation:

The given angles in the triangle are vertically opposite angles. Hence;

9x - 4 = 8 + 7x

Collect the like terms

9x - 7x = 8 + 4

2x = 12

x = 12/2

x = 6

Get the bolded angle

Bolded angle= 8 + 7x

Blded angle = 8 + 7(6)

Bolded angle = 8 + 42

Bolded angle = 50

Answer:

77,786.251

Step-by-step explanation:

Answer:

77,786.251 is the answer that equals $42,690e(0.03)×(20)

Step-by-step explanation:

hey mate hope this help you...!

Answer:

se supone que debes usar el SINE RATIO ya que se trata del lado opuesto y la hipotenusa.

Answer:

53.8mm

Step-by-step explanation:

(.9*2)+400(1.3)=53.8

branliest please...

Answer:

12,10

Step-by-step explanation:

60,50:100x20=12.10

Answer:

Markup amount: $54

New price with markup: $204

Step-by-step explanation:

36% markup to $150

We can find the amount of markup by finding 36% of 150.

36% of $150

Write 36% as a decimal and multiply it by the price

0.36(150) = $54

The amount of markup (36%) is equal to $54

When this is added to the original price, the new price is $150 + $54 = $204

Let me know if you have any questions!

Answer:

q5 is 4

q6 is 72

Step-by-step explanation:

yan na po ..sana maktulong sau

Answer:

Step-by-step explanation:

let the coordinates of P be (x,y)

[tex]x=\frac{mx2+nx1}{m+n} \\y=\frac{my2+ny1}{m+n} \\x=\frac{2(5)+3(-3)}{2+3} \\x=\frac{10-9}{5} =\frac{1}{5} =0.2\\y=\frac{2(0)+3(-4)}{2+3} \\y=\frac{0-12}{5} =\frac{-12}{5} =-2.4\\[/tex]

so coordinates of P are (0.2,-2.4)

Answer:

[tex]x=3[/tex]

[tex]y = 9[/tex]

Step-by-step explanation:

Given

The translated triangles

Required

Find x and y

We have:

[tex]AB = DF[/tex]

[tex]BC = FG[/tex]

[tex]AB = DF[/tex] means:

[tex]3(2x + 10) = 12x + 12[/tex]

Open bracket

[tex]6x + 30 = 12x + 12[/tex]

Collect like terms

[tex]12x - 6x = 30 -12[/tex]

[tex]6x = 18[/tex]

Divide by 6

[tex]x=3[/tex]

[tex]BC = FG[/tex] means

[tex]2y + 12 = 2(2y - 3)[/tex]

Open bracket

[tex]2y + 12 = 4y - 6[/tex]

Collect like terms

[tex]4y - 2y = 12+6[/tex]

[tex]2y = 18[/tex]

Divide by 2

[tex]y = 9[/tex]

Answer:

4

Step-by-step explanation:

Use the direct variation equation, y = kx.

Replace y with t, and replace x with s:

y = kx

t = ks

Plug in 260 as k and 65 as s, then solve for k (the constant of variation):

t = ks

260 = k(65)

4 = k

So, the constant of variation is 4.

Answer:

The probability of spinning a 5 or less is 1/8 or, you can say ⅛

Really Hope I helped! ♡♡♤♤♧♧

The probability of spinning a natural number and a number less than 5 would be 2/3.

The probability exists the branch of mathematics involving numerical descriptions of how likely an event is to happen, or how likely it exists that a proposition is true. The probability of an event exists in a number between 0 and 1, where, roughly speaking, 0 demonstrates the impossibility of the event and 1 demonstrates certainty.

No of total outcomes =6

No of favorable outcomes=4 {1,2,3,4}

Therefore,  Probability of getting a number less than 5 is= 4/6 = 2/3.

To learn more about probability refer to:

https://brainly.com/question/13604758

#SPJ2

Answer:

(3x) ° + (x+ 10)° = 90°

Step-by-step explanation:

(3x) ° + (x+ 10)° = 90°

3x + x + 10 = 90

4x = 90 - 10

4x = 80

x = 20

(3x) ° = 3 x 20 = 60°

(x + 10)° = 20 + 10 = 30°

Answer: you can either do 3x°(x+10)° or (x+10)°+3x°

the choice is yours. Hope this helps

Answer:

The lorry travels by 6 mph more than the expected speed.

Step-by-step explanation:

Velocity formula:

Velocity is distance divided by time, that is:

[tex]v = \frac{d}{t}[/tex]

Shortest route:

400 miles in 10 hours, which means that [tex]d = 400, v = 10[/tex]. So

[tex]v = \frac{d}{t} = \frac{400}{10} = 40[/tex]

In mph.

The lorry actually travels by a different route which increases the distance by 15%, but it still arrives in 10 hours.

Distance is multiplied by 100% + 15% = 115% = 1.15, so:

[tex]d = 1.15*400 = 460[/tex]

Then

[tex]v = \frac{d}{t} = \frac{460}{10} = 46[/tex]

46 mph

By how many more mph than the expected speed does the lorry travel?

46 - 40 = 6 mph

The lorry travels by 6 mph more than the expected speed.

Answer:

(-5, 3)

Step-by-step explanation:

it translated left 2 units => x'= x-2

down 2 units=> y'= y-2

Answer:-5, 3

Step-by-step explanation:

9514 1404 393

Answer:

  B'(7/16, -3/16)

Step-by-step explanation:

The scale factor multiplies each coordinate.

  B' = 1/4B = 1/4(7/4, -3/4)

  B' = (7/16, -3/16)

Answer:

First, convert the hour to minutes.

1 hr = 60 mins

15 mins: 60 mins

1:4

Oh wait I read the question wrong, give me 5 minutes lol. Edit: Nvm, I read it right :). This is the answer.

Answer:

3:2

Step-by-step explanation:

1 hour and 15 minutes can be seen as 75 minutes so it would be

75:50

The highest common mutiple of 75 and 50 are 25. Divide both (75&50) by 25.

The answer would be 3:2

Answer:d

Step-by-step explanation:because it is i think