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The attached graph represents the line plot of the dataset

The frequency table is given as:

Amount        3   3.5    4  4.5  5

Frequency   1      2     3   3    1

To create the line plot, we represent the frequency by dots.

Take for instance:

See attachment for the line plot

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Answer:

its 3 grapes

Step-by-step explanation:

6-3=3 therefore the answer is 3

Answer:

3 grapes are left

Step-by-step explanation:

if you subtract 3 from 6 (6 - 3) you will find the answer you need to find how many grapes you have left.

Answer:

C = 29.7

Step-by-step explanation:

Remember to use a^2 + b^2 = c^2

21^2+ 21^2 = c^2

441 + 441 = c^2

882 = c^2

you square root both sides

c= 29.6984

Round it

C = 29.7

Answer: [tex]y=x+2[/tex]

Step-by-step explanation:

The slope is

[tex]\frac{0-2}{-2-0}=1[/tex]

since the y-intercept is 2, the equation is [tex]y=x+2[/tex]

Answer:

28

Step-by-step explanation:

Answer:

The temperature decreased by 28%

Step-by-step explanation:

How did the temperature change if :

At first it decreased by 60%

Then increased by 80%

Assume that the temperature before decreasing is 100%

∵ The temperature before decreasing = 100%

∵ It decreased by 60%

→  Before decreasing  :  decreasing  :    after decreasing

→  100%                         :  60%              :    100% - 60% = 40%

∴ The temperature after decreasing = 40%

Assume that the temperature after decreasing is 100%

∵ The temperature after decreasing = 100%

∵ It increased by 80%

By using the ratio method

→  After decreasing  :  increasing  :    after increasing

→  100%                      :  80%             :   100% + 80% = 180%

→  40%                        :                       :   x%

By using cross multiplication

∴ 100% × x% = 40% × 180%

- Divide both sides by 100%

∴ x% =

∴ x% = 72%

∵ At first the temperature = 100%

∵ At last the temperature = 72%

∵ The first the temperature > the last the temperature

∴ The decreasing in temperature = 100% - 72% = 28%

Answer:

Probability means Possibility. It states how likely an event is about to happen. The probability of an event can exist only between 0 and 1 where 0 indicates that event is not going to happen i.e. Impossibility and 1 indicates that it is going to happen for sure i.e. Certainty.

The higher or lesser the probability of an event, the more likely it is that the event will occur or not respectively. For example – An unbiased coin is tossed once. So the total number of outcomes can be 2 only i.e. either “heads” or “tails”. The probability of both outcomes is equal i.e. 50% or 1/2.

Answer:

Answer:

1/6

Step-by-step explanation:

Solution:

The given equation is:y=x/6 -5

arranging the equation :x/6-y=5

Given,

Coefficient of x=1/6

coefficient of y=-1

So,

Slope(m)=-(Coefficient of x/coefficient of y))

= -(1/6 / -1) {minus divided by - becomes plus }

1 by 6 whole divide by 1

= 1/6 ans✓

The amount in pounds of Type A coffee used is 36 pounds.

Type A coffee costs Susan $5.45 per pound, and type B coffee

costs $4.05 per pound.

Therefore,

Let x = the number of pounds of Type A coffee.

total pounds = x + 3x

total cost = 5.45(x) + 3x(4.05)

633.60 =  5.45(x) + 3x(4.05)

633.60 =   5.45x + 12.15x

633.60 = 17.6x

divide both sides by 17.6

x = 633.60 / 17.6

x = 36

Pounds of Type A coffee used = 36 pounds

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The approximate depth of water for a tsunami traveling at 200 kilometers per hour, given the equation S=356√d, where S is the speed in kilometers per hour and d is the average depth of the water in kilometers, is 0.32 km. Hence, option A is the correct choice.

To solve for the average depth of water, when the water is traveling at 200 kilometers per hour, we substitute speed S = 200, in the relation S = 356√d.

This will be solved in the following way:

S = 356√d,

or, 200 = 356√d {Substituting S = 200},

or, 200/356 = (356√d)/356 {Dividing both sides by 356},

or, √d = 0.5618 {Simplifying},

or, d = 0.32 kilometers.

Therefore, the approximate depth of water for a tsunami traveling at 200 kilometers per hour, given the equation S=356√d, where S is the speed in kilometers per hour and d is the average depth of the water in kilometers, is 0.32 km. Hence, option A is the correct choice.

The provided question is incomplete.

The complete question is:

"The speed that a tsunami can travel is modeled by the equation S=356√d, where S is the speed in kilometers per hour and d is the average depth of the water in kilometers. What is the approximate depth of water for a tsunami traveling at 200 kilometers per hour?

A. 0.32 km

B. 0.75 km

C. 1.12 km

D. 3.17 km"

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The area of the rectangle URST is 135 mm². so the option C is correct.

Congruent rectangles have the same lengths of sides, same measures of angles and same areas and same perimeters

The Rectangle ABCD is congruent to rectangle URST

Given; Rectangle ABCD ≅ rectangle URST

AB = UR , BC = RS , CD = ST , AD = UT

AB = 9 millimeters

UR = 9 millimeters

We know that, The area of any rectangle = l × w,

In rectangle URST

∵ UR = 9 millimeters

∵ RS = 15 millimeters

- Assume that UR = l and RS = w

The area of rectangle URST = UR × RS

The area of rectangle URST = 9 × 15 = 135 millimeters²

Hence, The area of rectangle URST is 135 mm²

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Answer:

6 mm

Step-by-step explanation:

So, the area he needs to fill isn't really important, you don't need to calculate it. What is necessary is the individual dimensions of that area (width/length). The width and the length must be divisible by the lengths of the tiles. This is so you don't need to cut anything. For example let's say the area needed to be filled was 15 mm (width) by 10 mm (length). If I chose 3mm square tiles, it could perfectly fill up the width, but when it came to the length there would be a small 1 mm gap. And you would need to cut one of the square tiles, so it would have a length of 1 mm. In this case the 15mm was divisible by 3, but the 10 mm wasn't. So using this logic, it can't be the 4 mm square tile since 150mm / 4 mm = 37.5. It can be the 6m since 150mm / 6mm = 25 and 180 mm / 6mm = 30. It can't be the 8 mm since 150 mm / 8mm = 18.75 mm

None of the expressions is equivalent to 78

The number is given as:

Number = 78

Next, we evaluate the expressions in the options using a calculator

2 × (10 × 3 + 32) = 124

2 × (13 + 32) = 90

(10 × 3 + 32) =62

2 × (10 × 3 + 3) = 66

None of the options equals 78

Hence, none of the expressions is equivalent to 78

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The graph doesn't show a function as C. No; the graph fails the vertical line test.

It should be noted that a graph is the diagrammatic representation of data.

In this case, the graph doesn't show a function as the graph fails the vertical line test.

The vertical line test is a visual way that's uses to determine if the curve is a graph of the function.

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Answer: [tex]\frac{1}{4}[/tex]x - y = 2

Step-by-step explanation:

    Standard form is Ax + By = C where A, B, and C, are integers.

   Given:

y - 1 = 1/4(x - 12)

  Distribute:

y - 1 = [tex]\frac{1}{4}[/tex]x - 3

  Add 3 to both sides of the equation:

y  + 2 = [tex]\frac{1}{4}[/tex]x

  Subtract y from both sides of the equation:

2 =  [tex]\frac{1}{4}[/tex]x - y

   Apply the reflexive property:

[tex]\frac{1}{4}[/tex]x - y = 2

Answer:

1400000

Step-by-step explanation:

This is very simple,

multiply the total tickets with this fraction which is

= 2/5x 3500000

= 1400000

Answer:

14,000,000.

Step-by-step explanation:

2 out 5  tickets are winners.

So number of winning tickets = 3,500,000 * 2/5

= 2 * 7,000,000

= 14,000,000

The probability of selecting a black sock is 1/4.

The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty.  It is more likely that an event will occur if its probability is higher.

Number of white socks=20

Number of black socks=10

Number of red socks=6

Number of purple socks=4

Total number of socks=20+10+6+4

                                     =40

Probability of getting a black sock=Number of black socks/Total number                                                                                                        of socks

                                                         =10/40

                                                         =1/4

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Answer: Infinite

Step-by-step explanation:

Answer:

one solution, r = - 2

Step-by-step explanation:

4(2r - 1) = - 2(3r + 16) ← distribute parenthesis on both sides

8r - 4 = - 6r - 32 ( add 6r to both sides )

14r - 4 = - 32 ( add 4 to both sides )

14r = - 28 ( divide both sides by 14 )

r = - 2

Answer:

(d) y≥-5

Step-by-step explanation:

first, we find the equation for the blue line:

a doesn't work as it goes diagonally, so as b, e, or f.

so it must be y≥-5 or y<-5

since the graph is shaded above the line, it must be greater than or greater than or equal to, so it must be D) y≥-5.

You can tell it must be D as greater or less than is dotted while greater equal or less equal would be a solid line.

The equivalent equations to [tex]\frac{3}{5}(30x - 15) = 72[/tex] are given as follows:

Equivalent equations are equations that have the same solution.

First, we have to check the solution to [tex]\frac{3}{5}(30x - 15) = 72[/tex], hence:

[tex]\frac{3}{5}(30x - 15) = 72[/tex]

Applying the fraction:

18x - 9 = 72 -> first equivalent equation

Simplifying by 3:

3(6x - 3) = 72 -> second equivalent equation

The solution is:

18x - 9 = 72

18x = 81

x = 81/18

x = 4.5 -> third equivalent equation.

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Answer:

Step-by-step explanation:

Comments

AE = AT = 7                                                  Given

AT is a perpendicular bisector of OS        Property of a circle

AE is a perpendicular bisector of BR        Property of a circle

ER = 1/2 BR = 48/2 = 24                              Property of a bisector

TS = ER                                                        Property of a bisector and chord

TS = 24                                                        ER = 24 so TS = 24

AS^2 = TS^2 + TA^2                                   Pythagorean Theorem + rt angle

AS^2 = 24^2 + 7^2                                      Substitute values

AS^2 = 576 + 49                                         Combine

AS^2 = 625                                                 Take sqrt of both sides

√AS^2 = √625                                  

AS = 25

Answer

AS = 25

The acute angle is 40.40 degrees

The cosine of the angle is given as:

cos(x) = 0.7620

Take the arc cos of both sides

[tex]x = \cos^{-1}(0.7620)[/tex]

Evaluate the arc cos

x = 40.359

Approximate

x = 40.40

Hence, the acute angle is 40.40 degrees

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The system of inequalities that correctly represents this scenario is given by:

A system of inequalities is when two or more variables are related, and inequalities are built to find the values of each variable.

In this problem, the variables are given as follows:

The manager of the stand expects sales of a minimum of 100 items, hence:

[tex]x + y \geq 100[/tex].

The concession stand at a local high school sells nachos for $4 each and popcorn for $2 each. The manager wants a total of at least $225, hence:

[tex]4x + 2y \geq 225[/tex]

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The function y = x + 1 has a slope (rate of change) of 1 as well as an y intercept of 1.

An equation is an expression that shows the relationship between two or more numbers and variables.

The standard form for a linear function is:

y = mx + b

Where m is the slope and b is the y intercept.

Given the function y = x + 1

The function y = x + 1 has a slope (rate of change) of 1 as well as an y intercept of 1.

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The inequalities represented by the graph are; y > -1 and y <= -x.

The graph as shown in the task content includes the horizontal line; y = -1 and the line; y = -x.

However, the area shaded in the graph coincides with the upper area of y = -1 with broken lines as boundary and the lower area of line; y = -x with a solid boundary line.

Ultimately, the graph represents the inequalities y > -1 and y <= -x.

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Answer:The inequalities represented by the graph are; y > -1 and y <= -x.

What are the inequalities described by the graph?

The graph as shown in the task content includes the horizontal line; y = -1 and the line; y = -x.

However, the area shaded in the graph coincides with the upper area of y = -1 with broken lines as boundary and the lower area of line; y = -x with a solid boundary line.

Ultimately, the graph represents the inequalities y > -1 and y <= -x.

Step-by-step explanation:

Answer:

3072

Step-by-step explanation:

General form of a geometric sequence:

  [tex]a_n=ar^{n-1}[/tex]

where:

Given values:

Substitute the given values into the formula to create an equation for the nth term:

[tex]\implies a_n=3(4)^{n-1}[/tex]

To find the 6th term, substitute n = 6 into the equation:

[tex]\implies a_6=3(4)^{6-1}[/tex]

[tex]\implies a_6=3(4)^{5}[/tex]

[tex]\implies a_6=3(1024)[/tex]

[tex]\implies a_6=3072[/tex]

Therefore, the 6th term of a geometric sequence whose 1st term is 3 and whose common ratio is 4 is 3072.

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Based on the CPCTC theorem, the complete statement is: RQ ≅ RT.

According to the CPCTC theorem, if two triangles are said to be congruent, then all the corresponding parts of both triangles are congruent.

Given that ΔPQR ≅ ΔSTR, RQ corresponds to RT. Therefore, both sides are congruent to each other.

Thus, the complete statement is: RQ ≅ RT.

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First part;

Following the transformation (x, y) → (3•x, 2•y), the images are;

A'(9, 10), B'(15, 6), C'(6, 4)

Second part;

The distance between points A and B is 2•√2 which is different from the distance between the image A' and B' which indicates that the transformation is a non rigid transformation.

First part;

The given points are;

The given transformation is presented as follows;

(x, y) → (3•x, 2•y)

Therefore, the images are;

A(3, 5) → A'(3 × 3, 2 × 5) = A'(9, 10)

B(5, 3) → B'(3 × 5, 2 × 3) = B'(15, 6)

C(2, 2) → C'(3 × 2, 2 × 2) = C'(6, 4)

Second part;

Length of AB = √((5-3)² + (3-5)²) = 2•√2

Length of A'B' = √((15-9)² + (6-10)²) = 2•√13

Given that the length of AB ≠ the length of A'B' then we have;

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The points of the image are (9, 10), (15, 6) and (6, 4) and the resulting image is a nonrigid motion.

The points are given as:

A = (3, 5)

B = (5, 3)

C = (2, 2)

The transformation is given as:

(x, y) ⇒ (3x, 2y)

So, we have:

A' = (9, 10)

B' = (15, 6)

C' = (6, 4)

Hence, the image of the transformation is (9, 10), (15, 6) and (6, 4)

See attachment for the image

Also, the resulting image is a nonrigid motion.

This is so because the lengths of the image and the preimage are not equal

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The probability that none of them are spades is c(39,5) / c(48,5).

Probability is without a doubt how probable something is to show up. whenever we are uncertain about the final results of an occasion, we can talk about the possibilities of sure outcomes and how probable they are. The analysis of events governed by opportunity is referred to as records.

A chain of moves in which the results are usually unsure. The tossing of a coin, selecting a card from a deck of playing cards, throwing a cube. occasion. it is a single final result of an experiment. Getting a Head whilst tossing a coin is an event.

Simple chance is the calculation of an outcome or the chance of an event ever taking place. Coverage companies use possibility statistics to determine the possibility of having to pay out a declaration. A simple chance is calculated by way of dividing a particular outcome by all of the feasible outcomes.

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