To increase sales, an online clothing store began giving a 50% off coupon to random customers. Customers didn't know whether they would receive the coupon until after the final sale. The website claimed that one in five customers received the coupon. Six customers each made purchases from the website. Let X = the number of customers that received the 50% off coupon.

Answer:

Median

Order the data values from smallest to largest:

55, 57, 57, 57, 58, 58, 58, 59, 59, 60, 61, 61, 61, 62, 62, 62, 63, 63, 64, 64, 65, 65, 66, 67

As there is an even number of values, the median is the mean of the middle two values ⇒ Median = 61

Quartiles

55, 57, 57, 57, 58, 58, 58, 59, 59, 60, 61, 61 || 61, 62, 62, 62, 63, 63, 64, 64, 65, 65, 66, 67

The first quartile is the median of the data points to the left of the median  ⇒ first quartile = 58

The third quartile is the median of the data points to the right of the median  ⇒ first quartile = 63.5

Five-number summary

Draw a box from the first quartile (58) to the third quartile (63.5)

Add the median (61) as a the vertical line through the box.

The whiskers are horizontal lines from each quartile to the minimum (55) and maximum values (67).

Answer:

deductive reasoning

Step-by-step explanation:

it is based on what is true based on what happened before

Answer:

2 option, deductive reasoning

Step-by-step explanation:

based on true events

The range exist on all real values. This can be written as (-infty, infty)

The range is the value of the dependent variable for which it exists. Given the following functions

f(x) = |x| + 9 and;

g(x) = -6

Determine the sum

(f+g)(x) =  |x| + 9 + (-6)

(f+g)(x) = |x| + 9 -6

(f+g)(x) = |x| + 3

Determine the range of the function

The range exist on all real values. This can be written as (-infty, infty)

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Answer:

(7x-3)/-1

Step-by-step explanation:

swap the x and y and then move the y by itself

x=(3-y)/7

7x=3-y

7x-3=-y

(7x-3)/-1=y

The compound interest when $7300 when interest is compounded semi annually is $2482.70.

The compound interest when $7300 when interest is compounded monthly is $1972.73.

An investment earns compound interest when both the amount invested and the interest accrued increases in value at predetermined time intervals.

The formula to represent compound interest is :

FV - amount invested

FV = P (1 + r)^nm

a. 7300 x [1 + (0.1/2)]^(3 x 2) = 9782.70

Compound interest = 9782.70 = 7300 = $2482.70

b. 7300 x [1 + (0.08/12)]^(12 x 3) = 9272.73

9272.73 - 7300 = $1972.73

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Divide by 3

Equating

Now

C

Answer:

C.  y = 20

Step-by-step explanation:

Given system of equations:

[tex]\begin{cases}3y = 18x + 6\\y = 2x + 14\end{cases}[/tex]

Multiply the second equation by 3:

[tex]\implies (3)y=(3)2x+(3)14[/tex]

[tex]\implies 3y=6x+42[/tex]

Subtract this from the first equation to eliminate 3y:

[tex]\begin{array}{r l}3y & = 18x+6\\-\quad3y&=6x+42\\\cline{1-2}0&=12x-36\end{array}[/tex]

Solve the resulting equation for x:

[tex]\implies 12x-36=0[/tex]

[tex]\implies 12x=36[/tex]

[tex]\implies x=3[/tex]

Substitute the found value of x into the original second equation and solve for y:

[tex]\implies y=2(3)+14[/tex]

[tex]\implies y=6+14[/tex]

[tex]\implies y=20[/tex]

Answer:

Write in slope-intercept form,

y

=

m

x

+

b

.

y

=

5

3

x

−

20

3

Step-by-step explanation:

Answer:

Step-by-step explanation:

y=-5/12x+5/3

The side |rs| is congruent to side |ac| which is 14 ft.

Congruent triangles are two similar triangles that have corresponding sides and angles and they are of equal measure.

The figures from the textbook illustrate that following rotation, the two triangles are congruent.

This signifies that the angles and sides of the first triangle are equal to the angles and sides of the other triangle.

Therefore:

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Triangle EFG has vertices E(-2, 1), F(-1, 4), and G(3, 4). Graph the figure and its image after a clockwise rotation of 90° about vertex F. Then write the coordinates of triangle E'F'G'.

Answer:

the answer to the questions is 140

Central angle

So measure of arc BC is 80°

Use inscribed angle theorem

The measure of arc from A to B that doesn't pass through C is

Answer:

0.2÷3.0=15.0

Step-by-step explanation:

Based on the property of the consecutive angles of a parallelogram, the value of x is calculated as: E. 37.

In a parallelogram, the angles that are opposite to each other are congruent while consecutive angles are supplementary.

Angles F and G are consecutive angles and are therefore supplementary (have a sum of 180 degrees.)

Angle F + angle G = 180

4x - 2 + 34 = 180

4x + 32 = 180

4x = 180 - 32

4x = 148

x = 148/4

x = 37

Value of x is: E. 37.

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The value of the expression f(5) + j(-2)  is -8 where f(x)=12-3x and j(x)=x² + 4x - 1

The expression is given as:

f(5) + j(-2)

Where f(x)=12-3x and j(x)=x² + 4x - 1

Calculate f(5) and j(-2)

f(5)= 12 - 3(5) = -3

j(-2) = (-2)² + 4(-2) - 1 = -5

So, we have:

f(5) + j(-2)  = -3 - 5

Evaluate

f(5) + j(-2)  = -8

Hence, the value of the expression f(5) + j(-2)  is -8

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The binomial expression (p + q ) n (p+q)n to calculate the binomial distribution given will give a value of 10.

From the information given, the expression (p + q ) n (p+q)n is given to calculate a binomial distribution with n = 5 and p = 0.3.

p = 0.3

q = 1 - 0.3 = 0.7

n = 5

Therefore, expression ( p + q ) n (p+q)n will b:

= (0.3 + 0.7)× 5 + (0.3 + 0.7)× 5

= 5 + 5

= 10

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Answer:

By using the pythsgorean theorem! simple

Answer:[tex]\sqrt{155}[/tex]

Step-by-step explanation:

Oh god pythagorean triples got thrown out the window for this one. This will be a bit ugly.

First, we find the other side length of the rectangle using the pythagorean theorem.

Then, we use that side length in ANOTHER pythagorean theorem to get our answer.

Well, we know that the side length is [tex]\sqrt{5^{2}+9^{2} }[/tex]

We'll use whatever that number is, let's call it x for now, in our other expression:

[tex]\sqrt{x^{2}+7^{2}}[/tex]

So we can do this in one clean equation by substituting our first equation as x in the second one.

Or do them separately. Your choice.

Anyways, try to solve this one now that you know what to do. If you need more help then message.

Inequalities help us to compare two unequal expressions. (-6, 3) is not the solution to the system of inequalities.

Inequalities help us to compare two unequal expressions. Also, it helps us to compare the non-equal expressions so that an equation can be formed. It is mostly denoted by the symbol <, >, ≤, and ≥.

The graph of y ≥ −3x + 3 will be a solid line with the equation y=−3x + 3, this solid line signifies that the value on this line is also included in the solution. Since the symbol is '≥' therefore the area above the line will have the solutions.

The graph of y<(3/2)x -6 will be a dashed line with the equation y=(3/2)x - 6, this dashed line signifies that there is no solution on the line. since the inequality symbol is '<' therefore, the area under the dashed line will have all the solutions.

The area where both shaded areas meet is the area that will have all the possible solutions.

PartB:

y ≥ −3x + 3

3 ≥ -3(-6) + 3

3 ≥ 18 + 3

Since the above inequality is not satisfied, (-6, 3) is not the solution to the system of inequalities.

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The number of sides equals the number of the line of symmetry. Then the correct option is B.

The polygon is a 2D geometry that has a finite number of sides. And all the sides of the polygon are straight lines connected to each other side by side.

The relationship between the number of sides a regular polygon has and the number of lines of symmetry will be

In a regular polygon, the amount of symmetry lines is equal to the total of sides.

Then the correct option is B.

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Answer:

B They are the same value!

Step-by-step explanation:

Why? Well go look in your lesson although because i got this correct i forgot ago and yeah (TRUST++)

Answer:

x=14

Step-by-step explanation:

The sum of a interior angle is 180°

(7x-11)+(2x-3)+(5x-2)°=180°

7x+2x+5x=180+11+3+2

14x/14=196/14

x= 14

Hope this answers your question!! :)

Answer: Cylinder B is 50% bigger than cylinder A

Cylinder A volume:

= πr²h

= π(10)²(5)

= 500π

Cylinder B volume:

= 750π

Cylinder B bigger than Cylinder A by:

= (750π - 500π)/500π × 100 = 50%

[tex]\hrulefill[/tex]

Hence, cylinder B is bigger than cylinder A by 50%

Answer:

Cylinder B is 50% bigger than Cylinder A

Step-by-step explanation:

[tex]\textsf{Volume of a cylinder}=\sf \pi r^2 h \quad\textsf{(where r is the radius and h is the height)}[/tex]

Cylinder A

Given:

Substituting the given values into the formula:

[tex]\implies \sf Volume_A=\pi (10)^2(5)=500\pi \:in^3[/tex]

Cylinder B

Given:

[tex]\implies \sf Volume_B=750\pi \:in^3[/tex]

Percentage Change

[tex]\begin{aligned}\sf percentage\:change & =\sf \dfrac{final\:value-initial\:value}{initial\:value} \times 100\\\\& = \sf \dfrac{Volume_B-Volume_A}{Volume_A} \times 100\\\\& = \sf \dfrac{750\pi-500\pi}{500\pi} \times 100\\\\& = \sf \dfrac{1}{2} \times 100\\\\& = \sf 50\%\end{aligned}[/tex]

Therefore, Cylinder B is 50% bigger than Cylinder A

The factors of the expression x^2 - 9x + 14 are (x - 7) and (x - 2)

The expression is given as:

x^2 - 9x + 14

Expand

x^2 - 2x - 7x + 14

Factorize the expression

x(x - 2) - 7(x - 2)

Factor out x - 2 from the expression

(x - 7)(x - 2)'

Hence, the factorized expression of x^2 - 9x + 14 is (x - 7)(x - 2)'

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Answer:

  5.25 m

Step-by-step explanation:

A diagram can help you understand the question, and can give you a clue as to how to find the answer. A diagram is attached. The problem can be described as finding the sum of two vectors whose magnitude and direction are known.

__

In navigation problems, direction angles are specified a couple of different ways. A bearing is usually an angle in the range [0°, 360°), measured clockwise from north. In land surveying and some other applications, a bearing may be specified as an angle east or west of a north-south line. In this problem we are given the bearing of the second leg of the walk as ...

  N 35° E . . . . . . . 35° east of north

Occasionally, a non-standard bearing will be given in terms of an angle north or south of an east-west line. The same bearing could be specified as E 55° N, for example.

A vector is a mathematical object that has both magnitude and direction. It is sometimes expressed as an ordered pair: (magnitude; direction angle). It can also be expressed using some other notations;

In the latter case, "cis" is an abbreviation for the sum cos(θ)+i·sin(θ), where θ is the direction angle.

Sometimes a semicolon is used in the polar coordinate ordered pair to distinguish the coordinates from (x, y) rectangular coordinates.

__

The first leg of the walk is 3 meters due north. The angle from north is 0°, and the magnitude of the distance is 3 meters. We can express this vector in any of the ways described above. One convenient way is 3∠0°.

The second leg of the walk is 2.5 meters on a bearing 35° clockwise from north. This leg can be described by the vector 2.5∠35°.

The final position is the sum of these two changes in position:

  3∠0° +2.5∠35°

Some calculators can compute this sum directly. The result from one such calculator is shown in the second attachment:

  = 5.24760∠15.8582°

This tells you the magnitude of the distance from the original position is about 5.25 meters. (This value is also shown in the first attachment.)

__

You may have noticed that adding two vectors often results in a triangle. The magnitude of the vector sum can also be found using the Law of Cosines to solve the triangle. For the triangle shown in the first attachment, the Law of Cosines formula can be written as ...

  a² = b² +o² -2bo·cos(A) . . . . where A is the internal angle at A, 145°

Using the values we know, this becomes ...

  a² = 3² +2.5² -2(3)(2.5)cos(145°) ≈ 27.5373

  a = √27.5373 = 5.24760 . . . . meters

The distance from the original position is about 5.25 meters.

_____

Additional comment

The vector sum can also be calculated in terms of rectangular coordinates. Position A has rectangular coordinates (0, 3). The change in coordinates from A to B can be represented as 2.5(sin(35°), cos(35°)) ≈ (1.434, 2.048). Then the coordinates of B are ...

  (0, 3) +(1.434, 2.048) = (1.434, 5.048)

The distance can be found using the Pythagorean theorem:

  OB = √(1.434² +5.048²) ≈ 5.248

The simplified value is shown below:

Exponent refers to the number of times a number is used in a multiplication. Power can be defined as a number being multiplied by itself a specific number of times.

First,

3²*4³*[tex]2^{-1}[/tex]/(3*4)²

=9*64/144*2

= 576/288

=2

Second,

(3*2)^4 *[tex]3^{-3}[/tex]/2³*3

=1296/8*81

=1296/648

=2

Third,

[tex]3^{-3} *2^{-3} *6^{3} /(4^{0} )^{2}[/tex]

= [tex]6^{3} /(1 )^{2} *3^{3} *2^{3}[/tex]

= [tex]2^{3}* 3^{3} /(1 )^{2} *3^{3} *2^{3}[/tex]

=1

Fourth,

[tex]2^{4}* 3^{5} /(2*3)^{5}\\=2^{4}* 3^{5} /2^{5}*3^{5}[/tex]

= 1/2

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Answer:

80 oz

Step-by-step explanation:

Answer:

x³ - ((x+1)(x+1))

Step-by-step explanation:

x³ + 2x -3 - x² - 2x + 4

x³ - x² + 1

x³ - ((x+1)(x+1))

Answer:

x^3−x^2+4x−7

Step-by-step explanation:

Hope this helps! Have a great day!!

The answer is f of 5 = negative 1. The correct answer is option B

The complete graph is attached with the answer below.

Graphing functions is drawing the curve that represents the function on the coordinate plane. If a curve (graph) represents a function, then every point on the curve satisfies the function equation.

We can see in the graph that the point (5, -1) is on the f(x). Hence, the answer is f of 5 = negative 1.

Therefore answer is f of 5 = negative 1. The correct answer is option B

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Answer:

The answer is f of 5 = negative 1.

Step-by-step explanation:

Edge

Answer:

x is the midpoint of a segment in the diahram

Answer:

x is mid point

Step-by-step explanation:

I hope it's helpful for

Answer:The data set that is represented in the histogram is {5, 6, 5, 11, 12, 13, 12, 13, 14, 15, 11, 18, 17, 13} Definition of a histogram An histogram is a graph that organises numerical data. The histogram is made up of rectangles whose area is equal to the frequency of the data and whose width is equal to the class interval. the frequency is usually on the vertical axis while the class interval is usually on the horizontal axis.Explaining the graphLooking at the histogram, the age group of 5 - 10 have 3 children in the carpool. the age group of 11 - 13 have 7 children in the carpool. the age group of 14 - 18 have 4 children in the carpool. This means that there are 14 children in the carpool. The correct option should have 14 ages that range between 5 and 18. Here are the options of this question: A. {3, 3, 3, 7, 7, 7, 7, 7, 7, 7, 4, 4, 4, 4} B. {5, 10, 4, 11, 12, 13, 12, 13, 12, 11, 14, 14, 19, 18} C. {5, 6, 5, 11, 12, 13, 12, 13, 14, 15, 11, 18, 17, 13} D. {3, 5, 10, 11, 13, 7, 18, 14, 4}

Step-by-step explanation: