Bob has stencils to paint the digits 2, 5, and 8. How many distinct three-digit house numbers can he paint, using only the stencils?

Step-by-step explanation:

You graph the X first and then the Y second. Graph ( 7, -30)

Answer:

-6

Step-by-step explanation:

(Y1-y2)\(x1-x2)=(-30--54)\(7-11)

=24\-4=-6

A person with a Z-score of -0.42 would have a raw score of 992.4 on the SAT taken in 2018.

The standard deviation is a measure of how much the data varies from the mean. A Z-score is a standardized value that represents the number of standard deviations a raw score is from the mean.

To find the raw score given a Z-score, we can use the following formula:

raw score = mean + Z-score * standard deviation

For the mean composite score of 1068 and a standard deviation of 180, we can plug in the values for the Z-score of -0.42:

raw score = 1068 + (-0.42) * 180

raw score = 1068 - 75.6

raw score = 992.4

Note: The Z-score of -0.42 indicates that the raw score is 0.42 standard deviations below the mean.

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Step-by-step explanation:

if 24 min is equal to 2 ml

what about 9 min

Refer to the image attached.

The unit tangent vector to the space curve at time t = 2 is therefore \(\(\vec{T} = \frac{1}{\sqrt{21}}\vec{i} - \frac{4}{\sqrt{21}}\vec{j} + \frac{2}{\sqrt{21}}\vec{k}\)\)

What is a Unit tangent vector?

The direction of a curve at a particular point is depicted by the unit tangent vector, which is a vector. The direction the curve is traveling in at that location is shown by a vector of length 1. The unit tangent vector is frequently represented by the letters\(\(\vec{T}\) or \(\hat{T}\)\)

Using the given vector function, we can get the unit tangent vector to the space curve at the point (t = 2) by doing the following steps:

1. To get the velocity vector, calculate the derivative of the vector function.

2. Calculate the velocity vector at time t = 2 to determine the tangent vector.

The unit tangent vector is produced by normalizing the tangent vector.

The derivative of the vector function \(\(\vec{r}(t) = t\vec{i} - t^2\vec{j} + (2t-1)\vec{k}\)\) is found as follows:

\(\(\vec{v}(t) = \vec{r}'(t) = \frac{d\vec{r}}{dt} = \vec{i} - 2t\vec{j} + 2\vec{k}\)\)

We may calculate the velocity vector at time t by using the formula: \(\(\vec{v}(2) = \vec{i} - 2(2)\vec{j} + 2\vec{k} = \vec{i} - 4\vec{j} + 2\vec{k}\)\)

The curve at (t = 2) is represented by the tangent vector in this vector.

The tangent vector is normalized as follows to produce the unit tangent \(\(\vec{T} = \frac{\vec{v}(2)}{|\vec{v}(2)|}\)\)

Using the Euclidean norm, determine the size of \(\(\vec{v}(2)\)\):

\(\(|\vec{v}(2)| = \sqrt{\vec{v}(2) \cdot \vec{v}(2)} = \sqrt{1^2 + (-4)^2 + 2^2} = \sqrt{1 + 16 + 4} = \sqrt{21}\)\)

The unit tangent vector is thus:\(\(\vec{T} = \frac{1}{\sqrt{21}}\vec{i} - \frac{4}{\sqrt{21}}\vec{j} + \frac{2}{\sqrt{21}}\vec{k}\)\)

The unit tangent vector to the space curve at time t = 2 is therefore \(\(\vec{T} = \frac{1}{\sqrt{21}}\vec{i} - \frac{4}{\sqrt{21}}\vec{j} + \frac{2}{\sqrt{21}}\vec{k}\)\)

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Answer:

Mill rate is a tax rate-the amount of tax payable per dollar of the assessed value of a property. Mill is derived from the Latin word millesimum, meaning thousandth. As used in property tax, 1 mill is equal to $1 in property tax levied per $1,000 of a property's assessed value.

The probability that the panel will not fail within 100 hours, given that it has been functioning for 50 hours is 3/2 or 1.5.

:A panel consisting of analog displays has a reliability function given by R(t) = (200 - t)/200 for 0 ≤ t ≤ 200. Calculate the probability that the panel will not fail within 100 hours, given that it has been functioning for 50 hours. Find the conclusion.

According to the problem, the reliability function is given by R(t) = (200 - t)/200 for 0 ≤ t ≤ 200.

Now, let X be the time until the panel fails, then the probability that the panel will not fail within 100 hours, given that it has been functioning for 50 hours is:

P(X > 100 | X > 50) = P(X > 50) / P(X > 100)

Using the reliability function,

P(X > 50) = R(50) = (200 - 50)/200

= 3/4

and P(X > 100) = R(100)

= (200 - 100)/200

= 1/2

So, P(X > 100 | X > 50) = P(X > 50) / P(X > 100)

= (3/4) / (1/2) = 3/

: The probability that the panel will not fail within 100 hours, given that it has been functioning for 50 hours is 3/2 or 1.5.

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Answer:

  no

Step-by-step explanation:

The triangle inequality requires the sum of the shorter two sides exceed the length of the longest one. Here, we have ...

  10 +12 = 22 . . . . does not exceed 22

The lengths will not form a triangle.

_____

Additional comment

Some authors write the triangle inequality as ...

  a +b ≥ c

If this is the one your curriculum author uses, then these side lengths will form a triangle.

Answer:

lucas = 9

rafael = 6

Step-by-step explanation:

two equations can be derived from the question

r + l = 15 equation 1

r = l - 3  equation 2

r = rafael

l = lucas

substitute for r in equation 1

l - 3 + l = 15

combine similar terms

l + l = 15 + 3

2l = 18

l = 9

substitute for l in equation 1

r + 9 = 15

r = 15 -  9

r = 6

The possible formula for P(x) would be \(P(x)=x^5+x^4-5x^3+3x^2\).

What is a polynomial?

A polynomial is a mathematical expression made up of coefficients and indeterminates that uses only the operations addition, subtraction, multiplication, and powers of positive integers of the variables. x² + 4x + 7 is an illustration of a polynomial with a single indeterminate x.

The polynomial of degree 5.

Each root corresponds to a linear factor, so we can write:

        \(P(x) = x^2(x-1)^2(x+3)\\\\P(x)=x^2(x^2-2x+1)(x+2)\\\\P(x)=x^5+x^4-5x^3+3x^2\)

Hence, the possible formula for P(x) would be \(P(x)=x^5+x^4-5x^3+3x^2\).

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Answer:

45

Step-by-step explanation:

Let the unit place be ‘x'

Tenth place be y

The number is 10y+x

x+y = 9 (according to the condition) (1)

Digits are interchanged Unit place' y ‘& tenth place ‘ x'

New no is 10x +y

This is 9 more than the original number

10x+ y = 10y+x +9

10x-x+y-10y = 9

9x-9y= 9

x-y = 1 (dividing by 9) (2)

Adding the two equations

2x = 10

x= 5

Substituting the value of x in first equation

y = 4

The number is 45, the original number is 54 this is 9 more of the new number.

Answer

Step-by-step explanation:

By applying standard deviation concept, it can be concluded that all the students had the same score.

The mean is the average of all the scores. It is calculated by adding up all the scores and dividing them by the number of scores.

The standard deviation is a measure of how spread out the scores are. It is calculated by finding the difference between each score and the mean, squaring those differences, finding the average of those squared differences, and then taking the square root of that average.

If all the scores are the same, then the difference between each score and the mean will be 0. This means that the standard deviation will also be 0. Therefore, the correct answer is "all the students had the same score."

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The permutations of four objects m, I, n, and k taken two at a time without repetition are: mn, mk, mi, nm, nk, ni, km, kn, ki, in, im, ik.

P is the total number of permutations, which is equal to 12.

The correct answer is OB, which lists all 12 permutations.

P2 is the number of permutations taken two at a time with repetition allowed. This means that we can repeat the same object in a permutation.

There are 16 possible permutations with repetition allowed: mm, ml, mn, mk, ll, ln, lk, nn, nk, kk, ii, ik, nn, ni, nk.

Therefore, P2 is equal to 16.

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In the table, the relation (x,y) is not a function if the missing value of x is of x = 3.

A relation represents a function if each value of the input is mapped to only one value of the output, that is, one input cannot be mapped to multiple outputs.

For a point in the standard format (x,y), we have that:

In the table, we have that when x = 3, y = 10, hence, if when y = 20 x also equals 3, then the relation would not represent a function.

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Answer:100-K

Step-by-step explanation:

"100 decreased by a number K" can be written algebraically as:

100 - K

This expression represents the result of subtracting the value of K from 100.

The numbers that can be expressed as a ratio of two integers are called as Rational Numbers , and one such example is \(\frac{2}{3}\) .

What are Rational Numbers ?

The Rational Numbers are defined as the ratio of two integers where the denominator is non zero .

Mathematically , the rational numbers are the numbers that can be expressed in the form of \(\frac{p}{q}\) , where \(q\neq 0\) .

So , We can say that any fraction that fits under category of rational numbers, where denominator and numerator are integers and denominator is not equal to zero.

Few Examples of that can expressed as ratio of integers are :

(i)  \(\frac{1}{2}\) , here 1 and 2 both are integers , and \(2\neq 0\) .

(ii) \(\frac{5}{6}\) , here 5 and 6 both are integers , and \(6\neq 0\) .

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Answer:

A. 1/243

Step-by-step explanation:

f(x) = 3^x

Let x = -5

f(-5) = 3^-5

We know a^-b = 1/a^b

f(-5) = 1/3^5

      = 1/243

The measure of angle F is 60°

Similar triangles are triangles that have the same shape, but their sizes may vary. The corresponding angles of similar triangles are congruent or equal.

Also the ratio of corresponding sides of similar triangles are equal. This means that for two triangles to be similar their corresponding angles must be equal.

Therefore , if triangle ABC is similar to triangle DEF , then

angle C = angle F

angle C = 180-(90+30)

= 180- 120

= 60°

angle F = angle C = 60°

therefore measure of angle F is 60°.

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Answer:A b c a c b c a b b a e all answers trust me and mark me brainest

Step-by-step explanation:

Answer:

cant see it make it bigger

Step-by-step explanation:

An "event" is an outcome of a population that has some probability of being selected.

In statistics, an event refers to a specific outcome or combination of outcomes of an experiment or random process. It represents a subset of the sample space, which is the set of all possible outcomes.

For example, let's consider rolling a fair six-sided die. The sample space consists of the numbers 1, 2, 3, 4, 5, and 6. An event could be rolling an even number, which consists of the outcomes 2, 4, and 6. Each of these outcomes has an equal probability of 1/6.

Events can also be combined using logical operators. For instance, the event of rolling a number greater than 3 and less than 6 would consist of the outcome 4 and 5. The probability of this event would be 2/6 or simplified, 1/3.

In summary, an event is a specific outcome or combination of outcomes from a population, and it has a certain probability of being selected.

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An "outcome" is an outcome of a population that has some probability of being selected.

An "outcome" refers to a specific result or observation that can occur in a given situation or experiment. In the context of a population, an outcome represents one possible result that could be selected or observed.

When we talk about a population, we are referring to a group of individuals or items that share a common characteristic. For example, a population could be all the students in a school, all the trees in a forest, or all the cars in a city.

In statistics, we often take samples from populations to make inferences or draw conclusions about the entire population. When selecting a sample from a population, each individual or item in the population should have some probability of being chosen. This ensures that the sample is representative of the population and provides reliable information.

For example, if we want to study the average height of all students in a school, we might randomly select a sample of students from the population (all students in the school). Each student in the population has some chance of being selected, which means each student represents a potential outcome of the sample.

In summary, an outcome in the context of a population refers to a specific result or observation that has some probability of being selected from the population.

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Answer:

The answer is

Step-by-step explanation:

The density of a substance can be found by using the formula

\(density = \frac{mass}{volume} \\\)

From the question

mass = 24 g

volume = 3.3 mL

The density is

\(density = \frac{24}{3.3} \\ = 7.27272727...\)

We have the final answer as

Hope this helps you

Answer:

0.81

Step-by-step explanation:

\(0.01 \times {3}^{4} = 0.01 \times 81 = 0.81\)

Step-by-step explanation:

just draw out according to a graph chart or pie chart

Answer:

37

Step-by-step explanation:

180 - 45 - 98 = 37

Answer:

37. ...... yeah.......

Of the following one that is not considered a guideline for developing visualizations is vary the scale to conserve space whenever possible. (Option B)

Data and information visualization refers to an interdisciplinary field that focuses on the graphic representation of data and information. It is an efficient way of communicating when the data or information is numerous. It aims to present the data in a clear manner and with a clear purpose. The aim of the texts and labels should be to clarify and not clutter. According to the guidelines for developing visualization, it is not recommended to vary the scale to conserve space whenever possible.

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Answer:

Area = 201.1

Cicumference = 50.27

Your answers are correct

Step-by-step explanation:

A = Area = ?

C = Circumference = ?

SInce both the "Area" and "Circumference" are unknown, we use the formula:

\(\mathrm{A = \dfrac{ 1 }{ 4 } \pi { d }^{ 2 }}\)

Remember that:

The diameter is the length of the line through the center

and

The radius is half the diameter

Given:

Diameter = 16

Now we substitute "16" for "d" into the formula and solve

\(\mathrm{A = \dfrac{ 1 }{ 4 } \pi {( 16) }^{ 2 }}\)

Calculate 16 to the power of 2 and get 256

\(\mathrm{A = \dfrac{ 1 }{ 4 } \pi \times 256}\)

Multiply \(\frac{1}{4}\) and 256 to get  \(\frac{256}{4}\)

\(\mathrm{A = \dfrac{ 256 }{ 4 } \pi}\)

Divide 256 by 4 to get 64

\(\mathrm{A=64\pi }\)

Multiply 64 and π to get 201.06192983

\(\mathrm{A=201.06192983}\)

Round to the nearest tenth and get 201.1

\(\mathrm{A=201.1}\)

Next we need to find the "Circumference"

Formula for finding circumference is:

C = πd

Given:

Diameter = 16

Now we substitute "16" for "d" into the formula and solve

C = π(16)

Multiply 16 and π to get 50.265482457

C = 50.265482457

Round to the nearest hundreth and get 50.27

C = 50.27

So, your answers are correct.

The only mistake that could happen is whether you need to round to the nearest hundreth or tenth.

The statement is false because adding a vector to a set of vectors can increase its span, but the new span is not necessarily the same as the original span.

The statement is false. To prove this, consider three vectors u1, u2 and u3 that span R3, and a vector u4 that is not a linear combination of

u1, u2 and u3.

The span of

{u1, u2, u3, u4}

will be a subset of the span of

{u1, u2, u3}.

This means that the span of

{u1, u2, u3, u4}

will contain all the vectors that the span of {u1, u2, u3} contains, plus the vector u4. However, it does not necessarily mean that the span of

{u1, u2, u3, u4} will be the same as the span of {u1, u2, u3},

as there may be other vectors that are in the span of

{u1, u2, u3, u4}

but not in the span of {u1, u2, u3}. Hence, the statement is false.

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The complete question is

Determine if the statement is true or false, and justify your answer. If (u1, u2, u3) spans R3, then so does (u1, u2, uz, u). O False. Consider u4 =0 True, the span of a set of vectors can only increase (with respect to set containment) when adding a vector to the set. O True, since the span of {ul, u2, u3, u4} is a subset of the span of {u1, u2, us), O False. Consider u4 = 0. The span of {u1, u2, u3, u4} is a subset of the span of {u1, u2, us}, but the span of {u1, u2, u3, u4} is not the same as the span of {u1, u2, us}.

Answer:

two

Step-by-step explanation:

Answer:

20 units

Step-by-step explanation:

Let the length be x. According to the question,

➝ Width = 15% of the length

➝ Width = 15/100x

➝ Width = 3/20x

We have the perimeter of the rectangle that is 46 units.

\(\longrightarrow \sf {Perimeter_{(Rec.)} = 2(L + W) } \\ \)

\(\longrightarrow \sf {46= 2\Bigg \lgroup x + \dfrac{3}{20}x \Bigg \rgroup } \\ \)

\(\longrightarrow \sf {46= 2\Bigg \lgroup x + \dfrac{3}{20}x \Bigg \rgroup } \\ \)

\(\longrightarrow \sf {46= 2\Bigg \lgroup \dfrac{20x + 3x}{20} \Bigg \rgroup } \\ \)

\(\longrightarrow \sf {46= 2\Bigg \lgroup \dfrac{23x}{20} \Bigg \rgroup } \\ \)

\(\longrightarrow \sf {\dfrac{46}{2}= \dfrac{23x}{20}} \\ \)

\(\longrightarrow \sf {23= \dfrac{23x}{20}} \\ \)

\(\longrightarrow \sf {23 \times 20 = 23x} \\ \)

\(\longrightarrow \sf {460= 23x} \\ \)

\(\longrightarrow \sf {\cancel{\dfrac{460}{23}} = x} \\ \)

\(\longrightarrow \underline{\boxed{ \bf {20\; units = x}}} \\ \)

Therefore, length of the rectangle is 20 units.