Find the interquartile range for a data set having the five-number summary: 4.9, 12.4, 20.5, 28.8, 34.3

Answer:

e=9.14

Step-by-step explanation:

e²=a²+b²-2abcosФ

e²=36+25-2(30)cos112

e=√36+25-2(30)cos112

e=9.14

Answer: Kim - Resp after 24 months = $4,416.00

              Kim - Technology Fund after 24 months = $1,120.06

              Kim's Technology Fund has enough money to buy a laptop.

              Kim's Savings (Resp) will last less than 6 months

Step-by-step explanation for Kim:

January - June 2019

$14.50 + 30($0.25) = $22.00/hr

$22/hr x 15 hr x 4 wks x 6 months = $7920 Gross Income

Taxable Income is $7920 - $1188 = $6732    (Annual Income $13,464)

→ $7,920 -($1188 + $396 + $158.40 + $0 + $158.40) = $5,999.04 Net Income

Tech Fund (5%): $5999.04(0.05) = $299.95

Food Expense (30%): $5999.04(0.3) = $1,799.71

Clothing Expense (30%): $5999.04(0.3) = $1,799.71

Entertainment Expense (25%): $5999.04(0.25) = $1,499.76

Miscellaneous Expense (10%): $5999.04(0.1) = $599.90      

                                               Other Expenses: $5,699.08

July - December 2019 (excluding August)

$22/hr x 20 hr x 4 wks x 5 months + $200 = $6800 Gross Income

Taxable Income is $6800 - $1020 = $5780    (Annual Income $12,512)

→ $6,800 - ($1020 + $340 + $136 + $0 + $102.40) = $5,201.60 Net Income

Tech Fund (5%): $5201.60(0.05) = $260.08

Food Expense (30%): $5201.60(0.3) = $1,560.48

Clothing Expense (30%): $5201.60(0.3) = $1,560.48

Entertainment Expense (25%): $5201.60(0.25) = $1,300.40

Miscellaneous Expense (10%): $5201.60(0.1) = $520.16      

                                              Other Expenses: $4,941.52

January - June 2020

same as January - June 2019

July - December 2020 (excluding August)

same as July - December 2019

[tex]\boxed{\begin{array}{l|r|r|r|r||r}\underline{KIM}&\underline{Jan-Jun'19}&\underline{Jul-Dec'19}&\underline{Jan-Jun'20}&\underline{Jul-Dec'20}&\underline{Totals\quad }\\Gross&\$7920.00&\$6800.00&\$7920.00&\$6800.00&\$29440.00\\Resp&\$1188.00&\$1020.00&\$1188.00&\$1020.00&\$4416.00\\Net&\$5999.04&\$5201.60&\$5999.04&\$5201.60&\$22401.28\\Other&\$5699.08&\$4941.52&\$5699.08&\$4941.52&\$21281.20\\Tech&\$299.95&\$260.08&\$299.95&\$260.08&\$1120.06\end{array}}[/tex]

Answer:

The statement, one fifth of the square of a number is written as

[tex] \frac{1}{5} {x}^{2} [/tex]

Hope this helps you

Answer:

A. 3x - 2y = 5

Step-by-step explanation:

Given line in the graph has the following properties:

using point (2,3)

m = slope = (y2-y1)/(x2-x1) = (5-2)/(2-0) = 3/2

New line passes through y0(3,2), so use the point-slope form

(y-y0) = m (x-x0)

substitute in value y0(3,2)

y - 2 = (3/2) (x - 3)

multiply by 2 on each side

2y - 4 = 3x - 9

simplify and rearrange

3x - 2y = -4 + 9 =5

3x - 2y = 5

Step-by-step explanation:

x+y=12

3×+y=20

×=12-y

3 (12-y)+y=20

36-3y+y=20

36-4y=20

-4y=20-36

-4y= -16

y =16÷4

y=4

×+y=12

×+4=12

×=12-4

×=8

therefoer;y=4,x=8

Answer:

255 pounds.

Step-by-step explanation:

We can set up a proportion.

1 pound / 1.18 euros = x pounds / 300.9 euros

1.18 * x = 1 * 300.9

1.18x = 300.9

x = 255

255 pounds.

Hope this helps!

Answer:

300.90 € = £ 255

Step-by-step explanation:

£ 1 = 1.18 €

So,

1 € = £ 1/1.18

=> 1 € = £ 0.847

Multiplying both sides by 300.90 for getting the exchange rate of 300.90 euros

=> 300.90 € = £ 0.847 * 300.90

=> 300.90 € = £ 255

Answer:

y = -2/3x + 4

Step-by-step explanation:

In an equation that represents a line, the number with which no variable is multiplied is the y-intercept.

The number with which "x" is multiplied is the slope.

So in this case, the slope is -2/3; so the equation should be like -2/3x.

The y-intercept is 4, so it is the number with which no variable is multiplied.

So the equation is:

=> y = -2/3x + 4

Answer:

(x + 1)² + (y - 10)² = 4

Step-by-step explanation:

Standard form of the equation of a circle is given by,

(x - h)² + (y - k)² = r²

where (h, k) is the center of the circle and 'r' is the radius.

In the given question coordinates of the center A are (-1, 10) and radius of the circle is 2 units.

By substituting these values in the formula,

(x + 1)² + (y - 10)² = 2²

(x + 1)² + (y - 10)² = 4

Therefore, standard form of the equation of the given circle is (x + 1)² + (y - 10)² = 4

Answer:

[tex]\boxed{m<RUS = 65 \ degrees}\\\boxed{m<STU = 90 \ degrees}[/tex]

Step-by-step explanation:

Given that RU = 50°, So Central Angle ROU = 50° too because the measure of arc is equal to its central angle

Now, Let's assume a triangle ROU. It is an isosceles triangle since RO = RU (Radii of the same circle)

So,

∠ORU ≅ ∠OUR (Angles opposite to equal sides are equal)

So, we can write them as 2(∠RUO)

So,

2(∠RUO)+50 = 180 (Interior angles of a triangle add up to 180)

2(∠RUO) = 180-50

2(∠RUO) = 130

Dividing both sides by 2

∠RUO = 130/2

∠RUO = 65 degrees

m∠RUS = 65 degrees  (Both are the same)

In a semi circle (Given that SU is a diameter) , there must be a 90 degrees angle sin it opposite to the diameter.

So,

m∠STU = 90 degrees

From the diagram of circle k(O), m∠RUS = 65° and m∠STU = 90°

Given that:

m∠ORU = m∠OUR (isosceles triangle)

m∠ORU + m∠OUR + m∠ROU = 180° (angle in triangle)

50 + 2 * m∠OUR = 180

m∠OUR = 65°

m∠OUR =  m∠RUS = 65°

m∠STU = 90° (angle subtended at circumference by semicircle).

From the diagram of circle k(O), m∠RUS = 65° and m∠STU = 90°

Find out more on circle theorems at: https://brainly.com/question/17023621

Answer:

30 mph

Step-by-step explanation:

let s represent speed and h represent rebound.

Given that s is proportional to h then the equation relating them is

s = kh ← k is the constant of proportion

To find k use the condition s = 20, h = 10, then

20 = 10k ( divide both sides by 10 )

2 = k

s = 2h ← equation of proportionality

When h = 15 , then

s = 2 × 15 = 30 mph

Answer:

A. (-8, 20)

Step-by-step explanation:

The formula for dilations is

[tex]\left(x_{1}\cdot t_{1},\ y_{1}\cdot t_{1}\right)[/tex] Where t is the scale factor

The first step is to plug in the numbers appropriately

[tex](-2*4,5*4)[/tex]

Then, multiply -2 by 4 and 5 by 4 to get

[tex](-8, 20)[/tex]

So your answer is (-8, 20)

Hope this helps

Have a great day! :)

Answer:Keith

x=5,x=12

Step-by-step explanation:

Answer:

the answers are keith and -5,-12

Step-by-step explanation:

I just took the test and got a 5/5 the other person is incorrect.

Answer:

$6.8

Step-by-step explanation:

Let x be the amount of money in Molly's amount

according to question,

4x-25=2.20

4x=2.20+25

4x=27.20

x=27.20/4

x=6.8

So,the amount of money in Molly's amont is $6.8

Answer: $6.80

Step-by-step explanation:

We will represent the amount of money that Molly has with a m. So it tells us the relationship between Kevin's amount and Molly's amount. It is says Kevin has 2.20 less that 4 times Molly's amount so we could represent it by the equation.

25 = 4m -2.20   solve for m.

+2.20     +2.20

27.20 = 4m

m= 6.8

4(6.8) = 27.20 - 25 = 2.20

Answer:

D

Step-by-step explanation:

You know that you have to find y, so eliminate choice B. She reads 30 per day, which is c, so you will have 30x. She also read 15 pages separately, so the 15 will be added on separately. With this, you get y = 30x + 15.

Answer:

D.

Step-by-step explanation:

Since she already read 15 pages in the bookstore, those 15 pages are constant since she cannot unread those pages. Those pages are the y-intercept of the equation.

Gwen is reading 30 pages per day, so her slope will be 30.

D. y = 30x + 15 will be her equation.

Hope this helps!

Answer:

B. [tex]1\frac{1}{7}[/tex]

Step-by-step explanation:

[tex]-9\frac{2}{7}[/tex]=[tex]-\frac{65}{7}[/tex]

[tex]-10\frac{3}{7}[/tex]=[tex]-\frac{73}{7}[/tex]

[tex]-\frac{65}{7}[/tex]-([tex]-\frac{73}{7}[/tex])=8/7

8/7=[tex]1\frac{1}{7}[/tex]

Hope this helped!!!

Answer:

Step-by-step explanation:

to decrease a number by 40% i would do

100% = number you got

50% divide by 2

10%= dived 100% number by 10 then take the 10% away from the 50% to get 40%

then take the 40% away from the 100%

hope this helps :)

Answer:

100.

Step-by-step explanation:

Let the number of robberies be x ( in 2013).

Then x - 0.10x = 90

0.90x = 90

x = 90 / 0.90

= 100.

Answer: 53x^7

Step-by-step explanation:

Subtracting a negative is like adding.

Answer:

60 2/5 x 5 = 60 x 5 + 2/5 x 5

60 x 5 = 300

2/5 x 5 = 2

300 + 2 = 302 so 302 is the answer

302 km for 5 hours

Step-by-step explanation:

Step-by-step explanation:

Km in 1 hour = 60 2/5 = 60.4km

Km in 5 hours = 60.4 x 5 = 302km

Answer:

The option B, perfectly gives it to the target, because if you think about it, four less, means 4-, but backwards, and three times, means 3x, and if you put that together, that perfectly matches the one you are looking for. Hope that this would help you!

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Answer:

-2 and 3 along the horizontal line

Step-by-step explanation:

There are two axes, plural for axis; the two main lines. The one that runs vertically is the y axis and the one that runs horizontally is the x axis. Now when you see the parabola which is the curve, it meets at three points. The points are -2 , 6, and 3. the ones we are focusing on are the -2 and 3 since they are the numbers/points on the x axis

Answer:

-3x

Step-by-step explanation:

-3 is the coefficient and x is the variable.  

Answer:

                [tex]8\frac23\ cm^2[/tex]

Step-by-step explanation:

sector of the circle if the angle at the center is 150° means  [tex]\frac{150^o}{360^o}[/tex] of full circle of given radius

area of a circle of given radius R is:  πR²

so area of given sector:

[tex]A=\dfrac{150^o}{360^o}\cdot \pi\cdot8^2=\dfrac5{12}\cdot3.1\cdot64=82,(6)=8\frac23\ cm^2[/tex]

The area of a sector of the circle if the angle at the center is 150° is 82.67 square centimeter.

A circle is a locus of a point whose distance always remains constant from a given specific point. The general equation is -

x² + y² = r²      (for circle centered at origin)

Given is a circle has a radius of 8 cm.

The area of the sector subtending the angle 150° at center is -

A = (150/360) x 3.1 x 8 x 8

A = 82.67 square centimeter.

Therefore, the area of a sector of the circle if the angle at the center is 150° is 82.67 square centimeter.

To solve more questions on circles, visit the link below-

https://brainly.com/question/17006280

#SPJ5

Answer:

Step-by-step explanation:

common denominator

[tex](\sqrt(2)+1)(\sqrt(2)-1) = (\sqrt{2})^2-1^{2}=2-1 = 1[/tex]

Add with common denominator

[tex]\dfrac{1}{\sqrt2+1}+\dfrac{1}{\sqrt2-1}.[/tex]

[tex]= \frac{{\sqrt2-1}}{1} + \frac{\sqrt2+1}{1}[/tex]

[tex]=2* (\sqrt2)[/tex]

Answer:

120 mg

Step-by-step explanation:

20% of  100 is 20 so that would be 20mg  plus the 100mg they just took

100+20=120mg

i hope this helps you!

Answer:

Option C

Step-by-step explanation:

=> [tex]729x^6+y^6[/tex]

=> [tex](9x^2)^3+(y^2)^3[/tex]

Using Formula [tex]a^3+b^3 = (a+b)(a^2-ab+b^2)[/tex]

=> [tex](9x^2+y^2)[(9x^2)^2-(9x^2)(y^2)+(y^2)^2][/tex]

=> [tex](9x^2+y^2)(81x^4-9x^2y^2+y^4)[/tex]

So, these are the two factors of the expression!

Answer: $36

Step-by-step explanation:

When taking a loan from a bank, we have to pay interest. The Simple Interest Formula is:

Simple Interest (I) = Principal (P) × Interest Rate (r) × Time (t)

Principal (P) is the borrowed amount.

Interest Rate (r) is the percent of the principal to be paid.

Time (t) is the length of time that money is borrowed.

If Ms. Delilio borrowed $1,200 at an interest rate of 12% per year, for 3 months:

First, we have to convert 3 months into years

3 months = 3/12 =0.25 years

Then, find the interest by using the formula

Simple Interest (I) = Principal (P) × Interest Rate (r) × Time (t)

In this example

P = $1200

I = 12%

t = 0.25 years

Then:

I = 1200 × 0.12 × 0.25

I = 36

Answer:  $36

Step-by-step explanation:

3/12x1200x0.12=36

SIMPLE INTEREST FORMULA

TIME(ALWAYS IN YEARS)FOR EXAMPLE 4 MONTH WOULD BE 4/12 SINCE THERE ARE 12 MONTH IN 1 YEAR

DIVIDE BY 100 FOR INTEREST SHOWN

AND MULTIPLY TO SOLVE

Answer:

what do u mean

Answer: FLOOR GANG OOOH

Step-by-step explanation:

Answer:

Just add 6 to the right side of 3 which will make as 36

1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 = 36

Hope it helps u...pls mark as brainliest