I'm not quite sure what an outlier is :/

Answer:

11 adult tickets

Step-by-step explanation:

I guess you want the number of adult tickets sold.

That is 20% of 55

= 0.20*55

= 11 (answer)

Answer:

the answer is 11

Step-by-step explanation:

I did the math its 11

The third quartile value for the given data 20,21,24,25,28,29,35,37,42 is 36.

The median is the middle value of a data which is arranged in either ascending/descending order.

The lower/first quartile is the median of the bottom half of the data.

The higher/third quartile is the median of the upper half of the data.

Arranging the given sequence in ascending order:

20,21,24,25,28,29,35,37,42

Calculating the median of this sequence:

Median(odd no. of terms) = ((n+1)/2)th term

Median(9 terms) = ((9+1)/2)th term

Median = 5th term

Median = 28

Now, the upper half of the data is:

29,35,37,42

Median(even no. of terms) = Median of the two middle terms

Median = ((35+37)/2)

Median = 36

Hence the third quartile of the given data is 36

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Answer:

(2,4)

Step-by-step explanation:

Take the 2x from y=2x and plug it into the y for 3x+y=10

You now have 3x+2x=10

Combine like terms so 5x=10 then divide by 5x to both sides and x=2

Then plug in 2 for x in y=2x so it becomes y=2(2)  y=4

So the answer is (2,4)

Answer:

Step-by-step explanation:

From a calculator your answer in the picture.

The girl walked a distance of [tex]\boxed{{\mathbf{5 miles}}}[/tex]  in her way.

Further explanation:

The time can be calculated as,

[tex]{\text{ time}}=\frac{{{\text{distance}}}}{{{\text{speed}}}}[/tex]  

Given:

It is given that a girl stands 20 miles away from the school at [tex]6:50{\text{ am}}[/tex]  and she started walking at the rate of [tex]3{\text{ mi/hr}}[/tex]  and then after some time her dad pick up and he drives at the rate of [tex]30{\text{ mi/hr}}[/tex] . They reach the school at [tex]9:00{\text{ am}}[/tex] .

Step by step explanation:

Step 1:

Consider [tex]x[/tex]  as the distance she walked in her way.

The speed of the girl when she walked is [tex]3{\text{ mi/hr}}[/tex] .

Now use the formula of time to obtain the walk time.

[tex]\begin{gathered}{\text{ walktime}}=\frac{{{\text{distance walked}}}}{{{\text{walking speed}}}}\hfill\\{\text{ walktime}}=\frac{x}{3}\hfill\\\end{gathered}[/tex]

Since the total distance is [tex]20{\text{ miles}}[/tex] .

Then consider [tex]20-x[/tex]  as the distance driven by the car.

The driving speed is [tex]30{\text{ mi/hr}}[/tex] .

Now use the formula of time to obtain the drive time.

[tex]\begin{gathered}{\text{drive time}}=\frac{{{\text{distance travelled by car }}}}{{{\text{ speed of car}}}}\hfill\\{\text{drive time}}=\frac{{20-x}}{{30}} \hfill\\\end{gathered}[/tex]

Step 2:

Now we calculate the total time took by girl to reach the school.

  [tex]9:00-6:50={\text{2 hrs 10 min}}[/tex]

Now convert the timing into hours as,

[tex]\begin{aligned}2{\text{ hours 10 minutes}}&=2+\frac{{10}}{{60}}\\&=2\frac{1}{6}\\&=\frac{{13}}{6}{\text{ hrs}}\\\end{aligned}[/tex]

Step 3:

Total time is the sum of drive time and walk time.

The total time can be expressed as,

[tex]\frac{x}{3}+\frac{{20-x}}{{30}}=\frac{{13}}{6}[/tex]

Now solve the above equation by cross multiply method.

[tex]\begin{aligned}\frac{x}{3}+\frac{{20-x}}{{30}}&=\frac{{13}}{6}\hfill\\\frac{{10x+20-x}}{{30}}&=\frac{{13}}{6}\hfill\\\frac{{9x+20}}{{30}}&=\frac{{13}}{6}\hfill\\6\left({9x+20}\right)&=13\left({30}\right)\hfill\\\end{aligned}[/tex]

Now simplify the further equation.

[tex]\begin{aligned}6\left({9x+20}\right)&=13\left({30}\right)\hfill\\54x+120&=390\hfill\\54x&=390-120\hfill\\54x&=270\hfill\\\end{aligned}[/tex]

Simplify the further equation.

[tex]\begin{aligned}54x&=270\hfill\\x&=\frac{{270}}{{54}}\hfill\\x&=\frac{{45}}{9}\hfill\\x&=5\hfill\\\end{gathered}[/tex]

Therefore, the girl walked 5 miles.

Learn more:  

Answer details:

Grade: High school

Subject: Mathematics

Chapter: Speed, distance and time

Keywords: girl, distance, drive, walk, drive time, dad, speed, travelled, formula, cross multiply, fraction, number, multiply, addition, subtraction, equation, school

Answer:

5 miles

Step-by-step explanation:

The only triangle with the usual triangle centers coincident is an equilateral triangle.

The centroid is the meet of the medians, which are the segments from a vertex to the midpoint of its opposite side. The centroid is the balance point of the triangle.  It always divides the medians into a 2:1 ratio, the long piece connected to the vertex.

The circumcenter is the center of the circumcircle, which is the circle through the vertices.  That's only going to be the centroid when that 2 part of the 2:1 ratio is the same for each median.  That's only going to happen when the sides are the same length so the centroid makes congruent triangles.

The incenter is the center of the inscribed circle, which is the meet of the angle bisectors of each vertex.  Again it wont be the centroid unless the sides are equal.

The orthocenter is the meet of the altitudes and it's the same story.

An equilateral triangle is the only type of triangle where its circumcenter, incenter, centroid, and orthocenter coincide at the same point. This unique property emphasizes the symmetry of the equilateral triangle.

The type of triangle where its circumcenter, incenter, centroid, and orthocenter are all at the same point is an equilateral triangle. In an equilateral triangle, all sides are equal in length, and all angles are equal to 60 degrees.

An equilateral triangle has the unique property that its circumcenter (intersection of perpendicular bisectors of sides), its incenter (intersection of angle bisectors), its centroid (intersection of medians), and its orthocenter (intersection of altitudes) all coincide at the same point, which is the geometric center and also the triangle's center of mass.

This property is exclusive to equilateral triangles and emphasizes their symmetry. This also applies in three-dimensional forms such as in an icosahedron where each face is an equilateral triangle, demonstrating further the symmetrical properties of these shapes.

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Answer:

2 sqrt(3) = n

k = 4 sqrt(3)

Step-by-step explanation:

We know that cos 30 = adjacent/ hypotenuse

cos 30 = 6 /k

Multiply each side by k

k cos 30 = 6k * k

k cos 30 = 6

Divide each side by cos 30

k cos 30/ cos 30 = 6/ cos 30

k = 6 / cos 30

k = 6/ (sqrt(3)/2)

k =12 / sqrt(3)

We cannot leave the sqrt in the denominator

k = 12 / sqrt(3) * sqrt(3)/sqrt(3)

k = 12 sqrt(3)/3

k = 4 sqrt(3)

We know tan 30 = opposite/adjacent

                tan 30 = n/6

Multiply each side by 6

                  6 tan 30 = n

                  6 * (sqrt(3)/3) = n

                   6/3 * sqrt(3) = n

                    2 sqrt(3) = n

The correct option is d. The values are 2 sqrt(3) = n, k = 4 sqrt(3)

 We know that cos 30 = adjacent/ hypotenuse

Multiply each side by k

k cos 30 = 6k * k

k cos 30 = 6

Divide each side by cos 30

k cos 30/ cos 30 = 6/ cos 30

k = 6 / cos 30

k = 6/ (sqrt(3)/2)

k =12 / sqrt(3)

We cannot leave the sqrt in the denominator

k = 12 / sqrt(3) * sqrt(3)/sqrt(3)

k = 12 sqrt(3)/3

k = 4 sqrt(3)

We know tan 30 = opposite/adjacent

tan 30 = n/6

Multiply each side by 6

6 tan 30 = n

6 * (sqrt(3)/3) = n

6/3 * sqrt(3) = n

2 sqrt(3) = n

Answer:

D. y-intercept = 5

Step-by-step explanation:

I majored in Mathematics

Look at the picture.

[tex]\csc\theta=\dfrac{1}{\sin\theta}=\dfrac{1}{\frac{y}{r}}=\dfrac{r}{y}[/tex]

We have the right triangle x, y and r. From the Pythagorean theorem we have:

[tex]r^2=x^2+y^2\to r=\sqrt{x^2+y^2}[/tex]

We have the point

[tex]\left(-\dfrac{2}{3};\ \dfrac{\sqrt5}{3}\right)[/tex]

Substitute:

[tex]r=\sqrt{\left(-\dfrac{2}{3}\right)^2+\left(\dfrac{\sqrt5}{3}\right)^2}\\\\r=\sqrt{\dfrac{4}{9}+\dfrac{5}{9}}\\\\r=\sqrt{\dfrac{9}{9}}\\\\r=1[/tex]

[tex]\csc\theta=\dfrac{1}{\frac{\sqrt5}{3}}=\dfrac{3}{\sqrt5}=\dfrac{3\cdot\sqrt5}{\sqrt5\cdot\sqrt5}=\boxed{\dfrac{3\sqrt5}{5}}[/tex]

Final answer:

The cosecant of the angle can be determined as the reciprocal of the sine value of the angle, which is √3/√5.

Explanation:

Calculating the cosecant of the angle:

To find the cosecant of the angle, we need to use the definition of cosecant which is the reciprocal of the sine function. Since the point (-2/3, √5/3) lies on the unit circle, the y-coordinate (√5/3) can be used as the sine value of the angle.

Therefore, the cosecant of the angle is the reciprocal of the sine value, which is 1/(√5/3) = √3/√5.

Answer:

From Online Buying is more suitable

The difference between per diaper price is $0.04

Step-by-step explanation:

Given:

56 diapers can be bought for $ 28

and

online 112 diapers for $ 52

TO find:

Better deal = ?

Per diaper save= ?

Solution:

Let the first type be x

Now for x

Price of 56 diapers are $ 28

Price of one diaper = [tex]\frac{28}{56}[/tex]

                                 =$0.5 / diaper

Now for online let it be represented by O

Price of 112 diapers are $52

Price of one diaper = [tex]\frac{52}{112}[/tex]

                                 =$0.46 / diaper

Price of one diaper from online is less then price of one diaper from we bought not online

Difference of per diaper price = 0.5 - 0.46

                                                  =$0.04

So buying diapers from online would be suitable

The anwser is 73

95 artists 25 showed sculptures+ 48 that show paintings= 73 artists showed sculptures or paintings

Final answer:

By using the principle of inclusion-exclusion, we find that 61 artists showed only sculptures or paintings at the art fair.

Explanation:

To find out how many artists showed only sculptures or paintings, we use the principle of inclusion-exclusion in set theory. We start by adding the number of artists that showed sculptures and those that showed paintings:

Artists with sculptures + Artists with paintings = 25 + 48 = 73.

However, since some artists showed both, we must subtract the number of artists who showed both sculptures and paintings to avoid double-counting:

Artists who showed both = 12.

Now, we subtract this number from our previous total:

73 - 12 = 61 artists who showed only sculptures or paintings.

Answer:

8/pi

Step-by-step explanation:

To find the rate of change from 0 to pi/2  we need the values at 0 and pi/2

f(0) = -4

f(pi/2) = 0

rate of change = change in f(x)/ change in x

                        = (f(x2) -f(x1))/( x2-x1)

                        = (0--4) / (pi/2 - 0)

                         = (0+4) / (pi/2)

                        = 4 / (pi/2)

                          = 8/pi

[tex]0.001y^{12}=(0.1)^3y^{4\cdot3}=(0.1)^3(y^4)^3=(0.1y^4)^3\\\\0.008b^6=(0.2)^3b^{2\cdot3}=(0.2)^3(b^2)^3=(0.2b^2)^3\\\\-\dfrac{2}{27}a^{15}=\left(-\dfrac{2}{3}\right)^3a^{5\cdot3}=\left(-\dfrac{2}{3}\right)^3(a^5)^3=\left(-\dfrac{2}{3}a^5\right)^3\\\\\text{Used:}\\\\(a^n)^m=a^{n\cdot m}\\\\(ab)^n=a^nb^n[/tex]

The expressions 0.001y^12, 0.008b^6 and -8/27a^15 can be written as the cubes of the monomials 0.1y^4, 0.2b^2 and -2/3a^5 respectively.

The expressions provided can be written as a cube of a monomial. A monomial is a single term, and the cube of a monomial is a term raised to the third power. First, let's begin by expressing the coefficients as cubes:

Then, for the variables, divide the exponent by 3:

Combining the cubed coefficient and the cubed variable, we have:

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Answer:

the first one is 371 and the second one is 46

Step-by-step explanation:

Answer:

side of the octagon = 46.38 mm

Perimeter of the octagon = 371.04 mm

Step-by-step explanation:

Area of octagon = 10,391.9 mm²

But, area of octagon is given by the formula = 2(1 + √2)side²

⇒ 2(1 + √2)side² = 10391.9

⇒ 4.83 × side² = 10391.9

⇒ side² = 2151.53

⇒ side of the octagon = 46.38 mm

Perimeter of the octagon = 8 × side

⇒ Perimeter of the octagon = 8 × 46.38

⇒ Perimeter of the octagon = 371.04 mm

Answer:

Step-by-step explanation:

the answer is 26

Answer:

45 units^2

Step-by-step explanation:

Think of this polygon as being the combination of a rectangle and a triangle. The rectangle is at the bottom. It has length 9 and width 2.

The triangle is above it. Its base is also 9 like the rectangle's length. The height of the triangle is the segment from point (2, -1) to (2, 4). The length of the height is 6.

Now use the area formulas for a rectangle and a triangle to find the two areas and add them,

Rectangle: A = LW

Triangle: A = bh/2

Total area = LW + bh/2

Total area = 9 * 2 + 9 * 6/2

Total area = 18 + 54/2

Total area = 18 + 27

Total area = 45 units^2

9 groups because thats the greatest common denominator

Answer:

The price of one cookie is $1.25 and the price of one cake is $15.

Step-by-step explanation:

Let $x be the price of one cookie and $y be the price of one cake.

1. On Monday, Sean bought 3 cookies and 5 cakes, then he spent $(3x+5y) and this is $78.75. Thus,

[tex]3x+5y=78.75.[/tex]

2. On Tuesday, Sean bought 8 cookies and 2 cakes, then he spent $(8x+2y) and this is $40. Thus,

[tex]8x+2y=40.[/tex]

3. Solve the system of two equations:

[tex]\left\{\begin{array}{l}3x+5y=78.75\\8x+2y=40\end{array}\right.[/tex]

Multiply the first equation by 2 and the second equation by 5 and subtract them:

[tex]2(3x+5y)-5(8x+2y)=2\cdot 78.75-5\cdot 40,\\ \\6x+10y-40x-10y=157.5-200,\\ \\-34x=-42.5,\\ \\x=\$1.25.[/tex]

Then

[tex]8\cdot 1.25+2y=40,\\ \\2y=40-10,\\ \\y=\$15.[/tex]

Answer:

a. x-3/x+2

Step-by-step explanation:

Answer: A

Step-by-step explanation:

 [tex]\dfrac{x^{2}+x-6}{x^{2}-4}*\dfrac{x^{2}-9}{x^{2}+6x+9}[/tex]

[tex]=\dfrac{(x+3)(x-2)}{(x+2)(x-2)}*\dfrac{(x-3)(x+3)}{(x+3)(x+3)}[/tex]

[tex]=\dfrac{(x+3)}{(x+2)}*\dfrac{(x-3)}{(x+3)}[/tex]

[tex]=\dfrac{(x+3)(x-3)}{(x+3)(x+2)}[/tex]

[tex]=\dfrac{(x-3)}{(x+2)}[/tex]

Answer:

m = 4√2

Step-by-step explanation:

This is a right angled isosceles triangle whose sides are in the ratio 1:1:√2.

So = 8 / √2

= 8 *√2 / 2

= 4√2

Answer: Choice C

The first inequality is [tex]124+121+x \ge 400[/tex]

The second inequality is [tex]x \ge 155[/tex]

Replace x with whatever letter your teacher is using

=========================================================

Let x be the number of cans collected on week 3

Add this to the previous totals (for weeks 1 and 2) to get 124 + 121 + x. I'm going to leave this as is and not simplify. This is so the answer matches up. This total must be greater than or equal to 400, meaning 124+121+x can be 400 or larger.

124+121+x >= 400

245+x >= 400 .... combine like terms

x >= 400-245 .... subtract 245 from both sides

x >= 155

So you need to collect at least 155 cans for the third week so that you'll have at least 400 cans total.

[tex]h(x)=(6x-14)^8=[g(x)]^8\\\\f(x)=x^8\\\\g(x)=6x-14\\\\(f\ \circ\ g)(x)=(6x-14)^8[/tex]

Answer:

each shirt costs $22.95

Step-by-step explanation:

39.58 + 52.22 = 91.80

91.80/4= 22.95

To find the price of each shirt Caitlan bought, use an equation to solve for the cost per shirt, which is $3.16.

Equation: Let x be the price of each shirt. Caitlan spent $52.22 on 4 shirts, so 4x = $52.22. After deducting the store credit, her total spending was $52.22 - $39.58 = $12.64. Therefore, 4x = $12.64. Now, solve for x:

4x = $12.64
x = $12.64 / 4
x = $3.16

Therefore, the price of each shirt Caitlan bought was $3.16.

Question

G.O. Is going on a hike in the mountains on a hot summer day. He has 4/5 gallon of water that he spilt into 4 bottles. What fraction of a gallon is in each bottle?:

Answer:

There are 8 pints in 1 gallon, so 50×8 = 400 pints in 50 gallons.

400 × 3 red drops = 1200 red drops

400 × 2 blue drops = 800 blue drops

The answer of this one is 9-c

Answer:

No the two expressions are not equivalent.

Step-by-step explanation:

the given two expressions t=5 and t=9 are not equivalent because t being a variable cant take two numbers at a same time.however if they are placed in given two expressions of 't' such that that they give equal value when the first expression gives a value 'a' at t=5 while the other expression gives a value 'a' at t=9 then those two expressions will be equal.

Answer:

your answer is D.)

Step-by-step explanation:

Answer:

1,

3

Hope I helped thankssss

Step-by-step explanation: