Part One Katie recorded the length, in inches, of the ribbon pieces she was going to use for a project. Use this information for questions 1 and 2. 3 11, 112, 10³, 101, 107, 105, 97, 111/ . Which line plot correctly shows the data? A X X X + 10 10 10 10 B. + 9 10 X XX X XX 10 10 10/²/ Length of Ribbon (in inches)​

Answer: 30%

Step-by-step explanation:
12/40 = 3/10 = 0.30

0.30*100 = 30%

There are a total of 8 color-wheel size combinations for the kickboard scooter. This means that customers have 8 different options to choose from when selecting the color and wheel size for their scooter.

To determine the total number of color-wheel size combinations for the kickboard scooter, we need to multiply the number of color options by the number of wheel size options.

Given that there are 4 color options (silver, red, blue, and purple) and 2 wheel size options (125mm and 180mm), we can use the multiplication principle to find the total number of combinations:

Total combinations = Number of color options × Number of wheel size options

Total combinations = 4 colors × 2 wheel sizes

Total combinations = 8

There are a total of 8 color-wheel size combinations for the kickboard scooter. This means that customers have 8 different options to choose from when selecting the color and wheel size for their scooter.

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The function rule for g(x) is h(x) = (x - 0)² - 7.

In Mathematics, the vertex form of a quadratic function is represented by the following mathematical equation:

f(x) = a(x - h)² + k

Where:

Based on the information provided about the vertex (0, -7) and other points (-3, 2), we can determine the value of a as follows:

f(x) = a(x - h)² + k

2 = a(-3 - 0)² - 7

2 + 7 = 9a

9 = 9a

a = 1

Therefore, the required quadratic function in vertex form is given by:

h(x) = a(x - h)² + k

h(x) = (x - 0)² - 7

h(x) = x² - 7

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Answer:

5500 is correct Answer.

Please mark me as brainlist answer.

Answer:

Step-by-step explanation:

15 - 5(4c - 7) = 50

Multiply the terms in the bracket

That's

15 - 20c + 35 = 50

50 - 20c = 50

Subtract 50 from both sides

That's

50 - 50 - 20c = 50 - 50

- 20c = 0

Divide both sides by - 20

c = 0

Hope this helps you

The solution is, the total surface area is 92 sq. inches.

Total surface area refers to the area including the base(s) and the curved part. It is the total area covered by the surface of the object. If the shape has a curved surface and base, then the total area will be the sum of the two areas.

here, we have,

Total paper required = total surface area

Surface area of a cuboid = 2[(l×b) + (l×h) + (b×h)],

Where 'l' is the length, 'b' is the breadth and 'h' is the height

For the box, total surface area = 2[(8×3) + (3×2) + (8×2)]

=2[24 + 6 + 16]

=2[46]

= 92 sq. inches

Hence, The solution is, the total surface area is 92 sq. inches.

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Answer:

Step-by-step explanation:

x+102+115+(180-115)=360

x+282=360

x=78 degrees

y=115 degrees

Answer:

x = 78

y= 115

Step-by-step explanation:

On the angle where p and m meet, we have congruent angles that both equal 102 degrees. The adjacent angles will add up to 180 degrees on a line. So, to find the missing angle, do this:

180-102 = 78 degrees

x is equal to the top right angle where p meets m as they are congruent.

x = 78

You can find y by realizing that the given angle on q meets n are congruent angles. If this angle equals 115 degrees, then y must also equal 115 degrees.

In the given proof, the phrase " There exists k = n+1 " is not a general practice to write.

option (d) is correct [ans]

An integer is a whole number that can be positive, negative, or zero, and does not include any fractional or decimal parts.

Integers are part of the set of numbers called the integers, which includes all positive numbers, negative numbers, and zero.

We write " Let k = n+1 or assume n = k+1".

And then, we say that, it is obvious that

n < k = n+1 < n+2 for any integer n.

Hence, option (d) is correct [ans]

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Answer:

always

Step-by-step explanation:

From the given graph, the rise, run and slope of this graph are 1, 5, and 1/5 respectively.

This is the ratio between the rise and run i.e y-axis and x-axis.

The rise any graph is the change in the y-axis.

\(\delta y = y_2 - y_1\)

The rise in this graph will be

\(\delta y = 1 - 0 = 1\)

The run on any graph is the change in the x-axis.

\(\delta x = x_2 - x_1\)

The run on this graph is

\(\delta x = 5 - 0 = 5\)

Having the values of rise and run, we can find the slope of this graph

\(m = \frac{\delta y}{\delta x} = \frac{1}{5}\)

The rise, run and slope of this graph are 1, 5, and 1/5 respectively.

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Answer:

Camera 2nd has to cover the maximum angle, i.e. \(78.70^\circ\).

Step-by-step explanation:

Please have a look at the triangular park represented as a triangle \(\triangle ABC\) with sides

a = 110 ft

b = 158 ft

c = 137 ft

1st camera is located at point C, 2nd camera at point B and 3rd camera at point A respectively.

We can use law of cosines here, to find out the angles \(\angle A, \angle B, \angle C\)

As per Law of cosine:

\(cos C = \dfrac{a^{2}+b^2-c^2 }{2ab}\\cos B = \dfrac{a^{2}+c^2-b^2 }{2ac}\\cos A = \dfrac{b^{2}+c^2-a^2 }{2bc}\)

Putting the values of a,b and c to find out angles \(\angle A, \angle B, \angle C\).

\(cos C = \dfrac{110^{2}+158^2-137^2 }{2\times 110 \times 158}\\\Rightarrow cos C = \dfrac{12100+24964-18769 }{24760}\\\Rightarrow cos C =0.526\\\Rightarrow C = 58.24^\circ\)

\(cos B = \dfrac{110^{2}+137^2-158^2 }{2\times 110 \times 137}\\\Rightarrow cos B = \dfrac{12100+18769 -24964}{30140}\\\Rightarrow cos B = \dfrac{5905}{30140}\\\Rightarrow cos B =0.196\\\Rightarrow B = 78.70^\circ\)

\(cos A = \dfrac{158^{2}+137^2-110^2 }{2\times 158 \times 137}\\\Rightarrow cos A = \dfrac{24964+18769-12100}{43292}\\\Rightarrow cos A = \dfrac{31633}{43292}\\\Rightarrow cos A = 0.731\\\Rightarrow A = 43.05^\circ\)

Camera 2nd has to cover the maximum angle, i.e. \(78.70^\circ\).

-12 will be the term for y

Let us suppose that x= 0

then we will get

3y + 4 = x

and then it will be

3y+ 4 = 0

Now, we will move 4 to the right hand side and it being positive this side will become negative on right hand side

3y= -4

now,

3y = 1/4

y = 1/[4*3]

y=1/12

y= - 12

Hence the answer will be y= -12

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Answer: 2/1

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

Line is passing through the points (2, 3) & (5, 9)

Slope = (9 - 3)/ (5 - 2) = 6/3 = 2

Slope of the line is 2.

The domain of function A and function B are compared by the statement of Option A: The domain of Function A is the set of real numbers greater than 0. The domain of Function B is the set of real numbers greater than or equal to 1.

What is a function?

A function is a fundamental concept in mathematics that relates a set of inputs (also known as the domain) to a corresponding set of outputs (sometimes referred to as the codomain). For each input, there exists exactly one output, and the output can be linked to its corresponding input in a unique manner.

The domain of a function refers to the set of all possible input values for which the function can produce an output.

In Function A, the domain consists of all real numbers greater than 0, since it is a logarithmic function that can take any positive number as an input.

In contrast, the domain of Function B includes all real numbers greater than or equal to 1, since it is a square root function that begins at (1,0) and continues to infinity.

This means that any number greater than or equal to 1 can be used as an input to produce a corresponding output.

It is essential to define the domain of a function accurately to ensure that the function is well-defined and to avoid potential errors or ambiguities in mathematical computations.

Therefore, the correct statement is A.

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Answer:

Apparently \(\mathbf{p}_1(t) + \mathbf{p}_2(t) - \mathbf{p}_3(t) = 0\).

One possible basis for this span is \(\left\{3 + 8\, t,\, 3 - 8\, t\right\}\).

Step-by-step explanation:

A set of vectors is linearly-dependent if one of the vectors is a linear combination of the others.

Alternatively, to show linear dependence, show that the equation \(a\, \mathbf{p}_1 + b\, \mathbf{p}_2 + c\, \mathbf{p}_3 = 0\) has a non-trivial solution (where at least one of the three scalars \(a\), \(b\), and \(c\) is non-zero.)

For this set of polynomials, it can be shown that:

\(\mathbf{p}_3(t) = \mathbf{p}_1(t) + \mathbf{p}_2(t)\), or equivalently,

\(\mathbf{p}_1(t) + \mathbf{p}_2(t) - \mathbf{p}_3(t) = 0\).

Either way, the set \(\left\{\mathbf{p}_1,\, \mathbf{p}_2,\, \mathbf{p}_3\right\}\) would be linearly-dependent.

\(\mathbf{p}_3(t) = \mathbf{p}_1(t) + \mathbf{p}_2(t)\) implies that \(\mathbf{p}_3\) is a linear combination of \(\mathbf{p}_1\) and \(\mathbf{p}_2\). Therefore, \(\mathbf{p}_3\) is in the span of \(\mathbf{p}_1\) and \(\mathbf{p}_2\) (in other words, \(\mathbf{p}_3 \in \mathrm{Span}\left\{\mathbf{p}_1,\, \mathbf{p}_2\right\}\).) Hence:

\(\mathrm{Span}\left\{\mathbf{p}_1,\, \mathbf{p}_2,\, \mathbf{p}_3\right\} = \mathrm{Span}\left\{\mathbf{p}_1,\, \mathbf{p}_2\right\}\).

Therefore, any basis of the set \(\mathrm{Span}\left\{\mathbf{p}_1,\, \mathbf{p}_2\right\}\) would also be a basis of the set \(\mathrm{Span}\left\{\mathbf{p}_1,\, \mathbf{p}_2,\, \mathbf{p}_3\right\}\).

On the other hand, it can be shown that \(\mathbf{p}_1\) and \(\mathbf{p}_2\) are linearly-independent. Therefore, \(\mathrm{Span}\left\{\mathbf{p}_1,\, \mathbf{p}_2\right\}\) should have a dimension of \(2\). As a result, there should be exactly \(2\) linearly-independent vectors in a basis of \(\mathrm{Span}\left\{\mathbf{p}_1,\, \mathbf{p}_2\right\}\).

There are many different choices for the basis of \(\mathrm{Span}\left\{\mathbf{p}_1,\, \mathbf{p}_2\right\}\). One possible choice is the set \(\left\{\mathbf{p}_1,\, \mathbf{p}_2\right\}\), which is equal to \(\left\{3 + 8\, t,\, 3 - 8\, t\right\}\). Make sure that this set is indeed linearly-independent and contains two vectors.

Because it has already been shown that \(\mathrm{Span}\left\{\mathbf{p}_1,\, \mathbf{p}_2,\, \mathbf{p}_3\right\} = \mathrm{Span}\left\{\mathbf{p}_1,\, \mathbf{p}_2\right\}\), \(\left\{3 + 8\, t,\, 3 - 8\, t\right\}\) should be a basis of the set \(\mathrm{Span}\left\{\mathbf{p}_1,\, \mathbf{p}_2,\, \mathbf{p}_3\right\}\), as well.

Two triangles are congruent if they meet one of the following criteria. : All three pairs of corresponding sides are equal. : Two pairs of corresponding sides and the corresponding angles between them are equal. : Two pairs of corresponding angles and the corresponding sides between them are equal.

While Piaget, Vygotsky, and Bruner have different perspectives on how learning occurs, they all emphasize the active role of the learner in constructing knowledge and the importance of social interaction and cultural influences in the learning process.

Here's a three-column table evaluating how learning takes place according to Piaget, Vygotsky, and Bruner:

Theorist Approach to Learning Key Concepts

Piaget Constructivism 1. Schema: Individuals actively construct their knowledge through assimilation and accommodation, organizing information into mental structures called schemas. 2. Stages of Development: Learning occurs through cognitive development stages, from sensorimotor to formal operational, where individuals progressively acquire more complex mental abilities. 3. Active Exploration: Children learn best through hands-on exploration and interactions with the physical world.

Vygotsky Sociocultural Theory 1. Zone of Proximal Development (ZPD): Learning takes place within the gap between a learner's actual developmental level and their potential level with guidance from a more knowledgeable other. 2. Social Interaction: Learning is facilitated through social interactions with peers and adults, such as cooperative learning and scaffolding. 3. Cultural Tools: The use of language, symbols, and cultural artifacts plays a central role in cognitive development and learning.

Bruner Constructivism 1. Scaffolding: Instruction should provide support and guidance tailored to the learner's current abilities to help them progress to higher levels of understanding. 2. Discovery Learning: Learners construct knowledge by actively exploring and discovering concepts and relationships on their own. 3. Spiral Curriculum: Learning is organized in a spiral manner, revisiting key concepts and building upon previous knowledge in a progressive and interconnected way.

While Piaget, Vygotsky, and Bruner have different perspectives on how learning occurs, they all emphasize the active role of the learner in constructing knowledge and the importance of social interaction and cultural influences in the learning process.

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The time Jack left Santa Clara is 1 : 55 pm

A word problem in math is a math question written as one sentence or more. These statements are interpreted into mathematical equation or expression.

The time for Jack to walk to lose Altos is 25 min and he uses another 25mins to work to Palo alto.

Therefore, the total time he spent is

25mins + 25 mins = 50 mins

He arrived Palo at 2 :45 pm, therefore the time he left Santa Clare will be ;

2:45 pm = 14 :45

= 14:45 - 50mins

= 13:55

= 1 : 55pm

Therefore he left at 1:55 pm

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Answer:

Slope:2

Y-int:2

Step-by-step explanation:

y=m(slope)x+b(y-int)

Answer:

Slope is 2, Y-intercept is 2

Step-by-step explanation:

Point-slope form is y=mx+b

m=slope

b=y-intercept

Hope this helped.

Answer:

An acute angle

Step-by-step explanation:

An acute angle is smaller than an obtuse ad right angle.

hope this helps and hope it was right 'cause I really don't know what you meant. :)

The height needed to reach the desired volume is 5 feet

From the question, we have the following parameters that can be used in our computation:

Length = 8 feet

Volume = 240 cubic feet

Width = 6 feet

The height is calculated as

Height = Volume/(Length x Width)

Substitute the known values in the above equation, so, we have the following representation

Height = 240/(8 x 6)

Evaluate

Height = 5

Here, we have

Length = 28 cm

Volume = 6142.5 cubic cm

Height = 16.25 cm

The width is calculated as

Width = Volume/(Length x Height)

Substitute the known values in the above equation, so, we have the following representation

Width = 6142.5/(28 x 16.25)

Evaluate

Width = 13.5

Here, we have

Volume = 26214 cubic m

Height = 17 cm

The base area is calculated as

Base area = Volume/Height

Substitute the known values in the above equation, so, we have the following representation

Base area = 26214/17

Evaluate

Base area = 1542

Hence, the base area is 1542 square m

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Answer:

D. \(y + 6 =- \frac{1}{4} (x+2)\)

Step-by-step explanation:

We are given that a line is parallel to the line y=-1/4x-7 and passes through (-2, -6).

We want to write the equation of this line.

First, we need to know that parallel lines have the same slope.

In y=-1/4x-7, the slope of the line is -1/4; it is also the slope of the line parallel to it.

All of the answers in your system are written in point-slope form, which is \(y-y_1=m(x-x_1)\), where m is the slope and \((x_1, y_1)\) is a point

As we already know the slope and the point, we can plug these values into the formula.

Starting with the slope; as found above, the slope is -1/4. Therefore, the equation will then be:

\(y-y_1=-\frac{1}{4} (x-x_1)\)

Now substitute -2 and -6 as \(x_1\) and \(y_1\) respectively (note: we have NEGATIVE numbers, and SUBTRACTION in the formula, so we will end up subtracting a negative).

\(y--6=-\frac{1}{4} (x--2)\)

We can simplify this to become:

\(y+6=-\frac{1}{4} (x+2)\)

Therefore, D is the answer.

Answer:

y+6= -4(x+2)

Step-by-step explanation:

Answer:

\(\huge\colorbox{violet}{✏﹏ \: ᴀɴsᴡᴇʀ \: }\)

\(2y + 4 = 8 \\ 2y = 8 - 4 \\ 2y = 4 \\ y = \frac{4}{2} \\ y = 2\)

ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ

\( \huge\red{ \mid{ \underline{ \overline{ \tt ꧁❣ ʀᴀɪɴʙᴏᴡˢᵃˡᵗ2²2² ࿐ }} \mid}}\)

Answer:

y=4/2=2

Step-by-step explanation:

The sum of slip is 9 small coffee order, then sum is 11 medium coffee order, and when the sum is 6 or 14 large coffee is ordered.

Arrangement of the things or object is mean to make the group of them in a systematic order, in all the possible ways.

A hat contains 4 slips of paper labeled as 3,3,6 and 8. One slip is selected randomly and without replacing, another one is selected. The number on the slips are added together.

The probability of getting a sum of 6 (3+3) is,

\(P_(3,3)=\dfrac{1}{4}\times\dfrac{1}{3}+\dfrac{1}{3}\times\dfrac{1}{4}\\P_(3,3)=\dfrac{1}{12}+\dfrac{1}{12}\\P_(3,3)=\dfrac{2}{12}\\P_(3,3)=\dfrac{1}{6}\)

The probability of getting the sum of 9 (6+3) or (3+6) is,

\(P_(3,6)=\dfrac{1}{4}\times\dfrac{2}{3}+\dfrac{2}{4}\times\dfrac{1}{3}\\P_(3,6)=\dfrac{2}{12}+\dfrac{2}{12}\\P_(3,6)=\dfrac{4}{12}\\P_(3,6)=\dfrac{1}{3}\)

The probability of getting the sum of 9 (6+3) or (3+6) is,

\(P_(3,8)=\dfrac{1}{4}\times\dfrac{2}{3}+\dfrac{2}{4}\times\dfrac{1}{3}\\P_(3,8)=\dfrac{2}{12}+\dfrac{2}{12}\\P_(3,8)=\dfrac{4}{12}\\P_(3,8)=\dfrac{1}{3}\)

The probability of getting a sum of 6 (3+3) is,

\(P_(6,8)=\dfrac{1}{4}\times\dfrac{1}{3}+\dfrac{1}{3}\times\dfrac{1}{4}\\P_(6,8)=\dfrac{1}{12}+\dfrac{1}{12}\\P_(6,8)=\dfrac{2}{12}\\P_(6,8)=\dfrac{1}{6}\)

There are three size of coffee to order:

Thus, when the sum of slip is 9 small coffee order, if sum is 11 medium coffee order, and when the sum is 6 or 14 large coffee is ordered.

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Answer:

4/1/7 ( 4 and 1 over 7)

Step-by-step explanation:

First add all the numbers

1+2+3+4+5+6+8= 29

Finally you divide the total by counting the numbers which you have add up

29÷7

= 4/1/7 ( 4 and 1 over 7)

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Answer:

Step-by-step explanation:

1. Mean

1 + 2 + 3 + 3 + 4 + 5 + 6 + 8= 32

32/ how many numbers there are

32/ 8 . = 4

Mean = 4

1 2 3 3 4 5 6 8

3 2 1 1  0 1 2 4

3 + 2 + 1 + 1+0 + 1 + 2+ 4 =14

14/how many numbers there are

14/8 = 7/4 or in mixed form 1 3/4

Answer:

171

4 numerical variables (Sepal Length ; Sepal Width ; Petal Length ; Petal Width)

All four numerical variables are continous.

Step-by-step explanation:

Number of cases = Number of species * number of flowers per species

Number of cases = 3 * 57 = 171 cases

B.) Numerical variables are those variables which are quantitative in nature, that is they are made of numbers which are capable of being used for mathematical computation in a dataset such as maximum, minimum, mean and slither statistical measures.

C.) All for variables are continous as they are capable of taking up unlimited number of values within its range, including decimal values. Hence they are not finite. Continous numberical variables include, length, height, width and as given in the scenario below, they are all continous.

Answer:

1.≤

2.≤

3.≤

4.≤

5.≤

6.≤

Step-by-step explanation:

di po ko sure kung tama po yan

Answer:

Step-by-step explanation:

One ant = .02

10,000,000 x 0.2 =

200,000m

Hope that helps!

The length of the line when the 10 million ants with length equal to 20 x 10^-3 m long is put into a line, is 200,000 m.

To write the big number in short form, we write them in the positive power of 10.

To write the very small number, we write them in the negative power of 10.

The length of an ant is 20 x 10^-3 m long. There is total 10 million ants which are in a line.

To find the length of the line, we have to multiply the 20 x 10^-3 m with 10 million. Thus, the length of the line is,

\(n=20\times10^{-3}\times10000000\\n=20\times10^{-3}\times10^7\\\)

In the multiplication of two number with same base, the power is added. Thus,

\(n=20\times 10^{-3+7}\\n=20\times 10^{4}\\n=200000\rm\; m\)

Thus, the length of the line when the 10 million ants with length equal to 20 x 10^-3 m long is put into a line, is 200,000 m.

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a) The probability of not matching any of the six winning numbers is the probability that all six numbers chosen by the player are not among the six winning numbers. The probability of choosing a number that is not a winning number is 39/45 since there are 45 total numbers and only 6 are winning numbers. The probability of choosing six non-winning numbers is:

(39/45) x (38/44) x (37/43) x (36/42) x (35/41) x (34/40) = 0.4361

hence, the probability that none of the player's numbers match the six winning numbers is approximately 0.4361.

b) To determine if events E and E2 are independent, we need to check if the probability of both events occurring is equal to the product of their individual probabilities.

The probability of E, the event that the bit string chosen begins with 01, is 1/4. This is because there are four possible bit strings that begin with 01: 0100, 0101, 0110, and 0111, and there are 16 possible bit strings in total (2^4).

The probability of E2, the event that the bit string chosen ends with 10, is also 1/4. This is because there are four possible bit strings that end with 10: 0010, 0110, 1010, and 1110.

The probability of both E and E2 occurring is the probability of choosing a bit string that begins with 010 and ends with 10. There are two such bit strings: 0101 and 0100. Since there are 16 possible bit strings, the probability of both E and E2 occurring is 2/16 = 1/8.

To determine if E and E2 are independent, we need to check if the probability of both events occurring is equal to the product of their individual probabilities. That is, we need to check if:

P(E and E2) = P(E) x P(E2)

Substituting the probabilities we have calculated, we get:

1/8 = (1/4) x (1/4)

Since this equation is true, we can conclude that events E and E2 are independent.

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