An ant walks feet in minute. The distance in feet the ant walks is directly proportional to the time in minutes the ant walks. What is the constant of proportionality that relates the distance in feet the ant walks to the time in minutes it takes the ant to walk that distance?.

Answer:

denote the time by T , distance by S , and the speed by V. We have that S = 7150km, V = 780 km/hr , T= ?.. T = S:V = 7150 : 780 = 9.17

Answer is T = 9.17 hour

Answer:

122 degrees

Step-by-step explanation:

*A pentagon has a total of 540degrees

1st step: take all of the degrees and add them up:

105 + 90 + 86 + 137 = 418

2nd step: subtract the sum from 540:

540 - 418 = 122

The missing angle is 122 degrees

Answer:

∠ C = 122°

Step-by-step explanation:

The sum of the interior angles of a polygon is

sum = 180° (n - 2) ← n is the number of sides

Here n = 5, then

sum = 180° × 3 = 540°

Sum the given angles and equate to 540°

∠ C + 137° + 86° + 105° + 90° = 540 , that is

∠ C + 418° = 540° ( subtract 418° from both sides )

∠ C = 122°

Total marbles to start = 3 + 4 + 5 = 12

the probability of getting red is the number of red / total marbles.

first pick getting red = 4/12 = 1/3

after the first pick there would be 3 red and 11 marbles. The probability of picking red would be 3/11

the probability of picking red twice would be 1/3 x 3/11 = 3/33 = 1/11

Answer: 1/11

For given triangle, the value of x =5/6.

What is a triangle's definition?

A triangle is a geometric shape that consists of three straight line segments that connect to form a closed shape. It is a polygon with three sides, three vertices (corners), and three angles. Triangles can have different shapes and sizes depending on the length of their sides and the measure of their angles.

The sum of the interior angles of a triangle is always 180 degrees. This means that the three angles of a triangle add up to 180 degrees. The size and shape of the angles can vary, however, depending on the lengths of the sides.

Now,

For given triangle

as ∠CAE=∠BAE

then,

3x+11=9x+6

9x-3x=11-6

6x=5

x=5/6

Hence,

           the value of x =5/6.

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The solution of the system of equations is \(\[x=3,\text{ }y=0,\text{ and }z=2\]\).

As per data the system of linear equations,

\(\[ \left\{\begin{array}{c} x+2 y+3 z=9 \\ 2 x-y+z=8 \\ 3 x-z=3 \end{array}\right. \] 1)\)

Write the system in the matrix form \(\( A . X=B \)\)

We know that the matrix form of the system of linear equations is as follows.

\(\[A. X = B\]\)

Where

\(\[A=\begin{pmatrix} 1 & 2 & 3 \\ 2 & -1 & 1 \\ 3 & 0 & -1 \end{pmatrix}\[X=\begin{pmatrix} x \\ y \\ z \end{pmatrix}\]\)

and

\(\[B=\begin{pmatrix} 9 \\ 8 \\ 3 \end{pmatrix}\]2)\)

To solve the system, we can use row reduction method.

\(\[\begin{pmatrix} 1 & 2 & 3 & 9 \\ 2 & -1 & 1 & 8 \\ 3 & 0 & -1 & 3 \end{pmatrix}\]\)

Applying the elementary row operations

\(\[R_{2}\to R_{2}-2R_{1}\]\)

and

\(\[R_{3}\to R_{3}-3R_{1}\]\)

we get,

\(\[\begin{pmatrix} 1 & 2 & 3 & 9 \\ 0 & -5 & -5 & -10 \\ 0 & -6 & -10 & -24 \end{pmatrix}\]\)

Now applying the elementary row operations

\(\[R_{3}\to R_{3}-(6/5)R_{2}\]\)

we get,

\(\[\begin{pmatrix} 1 & 2 & 3 & 9 \\ 0 & -5 & -5 & -10 \\ 0 & 0 & -1 & -2 \end{pmatrix}\]\)

Now, we need to apply back substitution method. Using the third row, we can get the value of z as z = 2.

Now, using the second row,

\(\[-5y - 5z = -10\]\\\-5y - 5(2) = -10\]\)

Solving this equation, we get y = 0.

Finally, using the first row, we can get the value of x as

\(\[x + 2y + 3z = 9\]\\x = 3\]\)

Hence, the solution of the system of equations is \(\[x=3,\text{ }y=0,\text{ and }z=2\]\).

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A important goal of inferential statistical analysis is to generalize results from the study to the target population (option c).

An important goal of inferential statistical analysis is to generalize the findings and results obtained from a study or sample to the larger target population. Inferential statistics involves making inferences, drawing conclusions, and making predictions about a population based on the analysis of a sample.

When conducting a study, it is often impractical or impossible to collect data from the entire population of interest. Instead, a sample is typically selected and studied. Inferential statistics helps researchers make inferences about the population based on the sample data.

By analyzing the sample data using inferential statistical techniques, researchers can estimate population parameters, test hypotheses, determine the significance of findings, and make predictions about the larger population. This allows for generalization of the findings and helps in making informed decisions and drawing conclusions that extend beyond the specific sample studied.

Options A, B, and D are also important goals in statistical analysis, but they are not specific to inferential statistics. Analyzing and describing data (option A) is a goal of descriptive statistics. Determining the validity of theoretical constructs (option B) and measuring the reliability and validity of measurement tools (option D) are goals related to assessing the quality and soundness of research instruments and constructs, but they do not specifically address the goal of generalizing results to a larger population. The correct option is c.

The complete question is:

An important goal of inferential statistical analysis is to:

A. analyze and describe data collected during a study.

B. determine whether theoretical constructs are valid.

C. generalize results from the study to the target population

D. measure the reliability and validity of measurement tools

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In RAND function, when we click anyplace in the succeed sheet use duplicate and afterward glue as values. returns an irregular number that is more noteworthy than or equivalent to 0 and under 1.

The subject of arithmetic incorporates amounts and their varieties, conditions and related designs, shapes and their areas, and where they can be found. The expression "function" alludes to the connection between a bunch of information sources, every one of which has a related result. An association among data sources and results in which each info prompts a solitary, particular outcome is known as a capability. Each capability is given a space and a codomain, or scope. Normally, f is utilized to signify capabilities (x). input is a x. There are four fundamental sorts of capabilities open. in view of the accompanying variables: on capabilities, coordinated capabilities, many-to-one capabilities, inside capabilities, and on capabilities.

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False. let a be a real square matrix. if a is diagonalizable then a is symmetric

Explanation: Diagonalizability and symmetry are two different properties of a square matrix. A real square matrix A is diagonalizable if it can be transformed into a diagonal matrix D through a similarity transformation with an invertible matrix P, i.e., A = PDP^(-1). A matrix is symmetric if A = A^T, where A^T is the transpose of A.

While it is true that every symmetric matrix is diagonalizable, the converse is not necessarily true. In other words, not every diagonalizable matrix has to be symmetric.

Conclusion: The statement "if A is diagonalizable then A is symmetric" is false because diagonalizability does not guarantee symmetry.

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The P-value associated with each value of the z test statistic is given above. We round our answers to four decimal places.

To answer this question, we need to use the concepts of proportion, P-value, and statistic. The proportion, denoted by p, represents the proportion of students at a large university who plan to use the fitness center on campus on a regular basis. The null hypothesis, H0, states that the proportion is equal to 0.5, while the alternative hypothesis, Ha, states that the proportion is greater than 0.5.
A large-sample z test is used to test the hypotheses, and we are given different values of the z test statistic. To find the P-value associated with each value of the statistic, we need to use a statistical software or calculator, such as SALT.
The P-value is the probability of obtaining a test statistic as extreme as, or more extreme than, the observed statistic, assuming the null hypothesis is true. A small P-value indicates strong evidence against the null hypothesis, while a large P-value indicates weak evidence against the null hypothesis.
Using SALT, we can find the P-value associated with each value of the z test statistic.
(a) z = 1.10: P-value = 0.1357
(b) z = 0.92: P-value = 0.1788
(c) z = 1.95: P-value = 0.0256
(d) z = 2.44: P-value = 0.0073
(e) z = -0.12: P-value = 0.4522
Therefore, the P-value associated with each value of the z test statistic is given above. We round our answers to four decimal places.

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When the applet selects random samples from the town's population of babies, we assume that the population is large enough and diverse enough to accurately represent the characteristics and traits of the entire population.

We assume that the selection of the random samples is unbiased and that every member of the population has an equal chance of being selected for the sample.

Based on your question, we are discussing random samples taken from a town's population of babies this year. When selecting random samples from this population, we assume the following:

1. The population of babies is well-defined and includes all babies born in the town within the specified year.
2. The random samples are representative of the entire population, meaning that each baby has an equal chance of being selected in the sample.
3. The samples are independent, meaning that the selection of one baby does not influence the selection of another.

These assumptions ensure that the results obtained from the random samples can be generalized to the entire population of babies in the town for this year.

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By assuming these conditions are met, we can perform statistical analyses on the random samples and make valid inferences about the entire population of babies in the town.

When an applet is selecting random samples from a town's population of babies this year, we typically assume the following about the population:
Independence:

Each baby selected in the sample is independent of the others, meaning that the outcome of one selection does not affect the outcome of another selection.
Randomness:

The applet chooses babies from the population in a random manner, ensuring that every baby has an equal chance of being selected.

Representativeness:

The random samples selected are representative of the entire population, meaning that the samples accurately reflect the characteristics of the town's population of babies as a whole.

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Answer: x < \(\frac{15}{2}\)

Step-by-step explanation:

Hey there! If you have any questions please feel free to comment on it below.

Step 1: Add 18 to both sides

6x < 27 + 18

Step 2: Simplify 27 + 18 to 45.

6x < 45

Step 3: Divide by side by 6.

x < \(\frac{45}{6}\)

Step 4: Simplify.

x < \(\frac{15}{2}\)

~I hope I helped you!~

Answer:

Step-by-step explanation:

here you go mate

step 1

6x – 18 < 27  equation

step 2

6x-18(+18)<27(+18)  add +18 to both sides

6x<45

step 3

6x/6<45/6  divide by 6

answer

x=15/2

Answer:

The answer is C

Step-by-step explanation:

Answer:

tens

Step-by-step explanation:

The value of x for the similar triangles is 8 units.

The value of x is determined by applying the principle of similar triangles as shown below.

In the given diagram, we can assume the following for the similar triangles;

length 10 is congruent to length 10 + (3x + 1 )

length 22 is congruent to length 7x -1  + 22

So we will have the following equation;

(3x + 1  + 10 )/ 10 = (7x - 1 + 22 ) / 22

(3x + 11 ) / 10 = ( 7x + 21 ) / 22

22(3x + 11 ) = 10 (7x + 21 )

66x + 242 = 70x + 210

32 = 4x

x = 32 / 4

x = 8

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Answer:

It is a non function.

Step-by-step explanation:

Numbers cannot repeat in functions

Answer:

GCF, Greatest Common Factor

Step-by-step explanation:

Hope this helped

predicted value of the slope , A regression model called simple linear regression uses a straight line to calculate the association between one independent variable and one dependent variable.

When modeling the relationship between a scalar answer and one or more explanatory variables in statistics, linear regression is a linear method. Simple linear regression is used when there is only one explanatory variable, and multiple linear regression is used when there are numerous variables.

A regression model called simple linear regression uses a straight line to calculate the association between one independent variable and one dependent variable. Both variables ought to have numerical values.

When the parameters are linear, a regression equation (or function) is said to be linear in statistics. Although the predictor variables can be transformed in ways that result in curvature, the equation must be linear in the parameters.

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in linear regression, the fitted value is the:  predicted value of the dependent variable

When you enter the values of the predictors, factor levels, and other inputs into a statistical model, the predicted mean response value is known as the fitted value.

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Answer:

see below

Step-by-step explanation:

Assuming that

Point A is the same as point X

Point B is Point Y

Point C is Point Z

So we have

\(X=(1,5)\\\\Y=(2,2)\\\\Z=(6,1)\)

the rule for a rotation of 180° is

For 180 degrees, the rule is (a, b) --------> (-a, -b)

so we have

\(X'=(-1,-5)\\\\Y'=(-2,-2)\\\\Z'=(6,1)\)

the rule for reflection across the x axis

(a,b)----->(a,-b)

so we have

\(X''=(1,-5)\\\\Y''=(2,-2)\\\\Z''=(6,-1)\)

Answer:

a

Step-by-step explanation:

Answer:

The answer is 114 degrees.

Step-by-step explanation:

Since the angles are opposite from each other, it will be the same degrees.

Answer:

1/7

Step-by-step explanation:

The linear equation that has all real solutions among the options given is 3(2x - 1) = 3(1 + 2x).

To determine which linear equation has all real solutions, we need to analyze each option and identify the condition that ensures real solutions.

Option 1: 3(2x - 1) = 6x - 33

Simplifying this equation, we get 6x - 3 = 6x - 33. By subtracting 6x from both sides, we obtain -3 = -33, which is not a true statement. Therefore, this equation has no real solutions.

Option 2: 3(2x - 1) = 3 + 2x

Simplifying this equation, we have 6x - 3 = 3 + 2x. By subtracting 2x from both sides and simplifying further, we get 4x = 6. Dividing both sides by 4, we find x = 3/2. This equation has a single real solution.

Option 3: 3(2x - 1) = 3(1 - 2x)

Simplifying this equation, we have 6x - 3 = 3 - 6x. By adding 6x to both sides and simplifying further, we get 12x = 6. Dividing both sides by 12, we find x = 1/2. This equation also has a single real solution.

Option 4: 3(2x - 1) = 3(1 + 2x)

Simplifying this equation, we get 6x - 3 = 3 + 6x. By subtracting 6x from both sides and simplifying further, we obtain -3 = 3. Again, this is not a true statement, so this equation has no real solutions.

Therefore, among the given options, the equation 3(2x - 1) = 3(1 + 2x) is the only one that has all real solutions.

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Which of the following linear equations has all real solutions?3(2x−1)=6x−33 times open paren 2 x minus 1 close paren is equal to 6 x minus 33(2x−1)=3+2x3 times open paren 2 x minus 1 close paren is equal to 3 plus 2 x3(2x−1)=3(1−2x)3 times open paren 2 x minus 1 close paren is equal to 3 times open paren 1 minus 2 x close paren3(2x−1)=3(1+2x). Show all the answers step by step.

The length of the arc of the circle diameter 14 meters subtended by the central angle of 5π/6 is 35π/6 meters.

To find the length of the arc of the circle diameter 14 meters subtended by the central angle of 5π/6, we need to use the formula to find the arc length.

The formula to find the length of the arc of a circle is given as:

S = rθ

where S is the length of the arc, r is the radius of the circle and θ is the central angle subtended by the arc.So, the length of the arc of the circle diameter 14 meters subtended by the central angle of 5π/6 can be found by substituting the values in the above formula.

Solution:

S = rθ

where r = d/2 = 14/2 = 7m, and θ = 5π/6 m Putting the values in the above formula we get:

S = (7)(5π/6)= 35π/6 m

Hence, the length of the arc of the circle diameter 14 meters subtended by the central angle of 5π/6 is 35π/6 meters.

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The output when the given pseudocode is executed with A = 5 and B = 3 will be "25, 16, 9, 4, 1".

The given pseudocode includes a loop that iterates as long as A is greater than or equal to B. In each iteration, the square of A is displayed, and A is decremented by 1. We are asked to determine the output when A is initially 5 and B is 3.

Step 1: Initialization

A is set to 5 and B is set to 3.

Step 2: Iteration 1

Since A (5) is greater than or equal to B (3), the loop executes.

The square of A (5²) is displayed, resulting in the output "25".

A is decremented by 1, so A becomes 4.

Step 3: Iteration 2

A (4) is still greater than or equal to B (3).

The square of A (4²) is displayed, resulting in the output "16".

A is decremented by 1, so A becomes 3.

Step 4: Iteration 3

A (3) is still greater than or equal to B (3).

The square of A (3²) is displayed, resulting in the output "9".

A is decremented by 1, so A becomes 2.

Step 5: Iteration 4

A (2) is still greater than or equal to B (3).

The square of A (2²) is displayed, resulting in the output "4".

A is decremented by 1, so A becomes 1.

Step 6: Iteration 5

A (1) is still greater than or equal to B (3).

The square of A (1²) is displayed, resulting in the output "1".

A is decremented by 1, so A becomes 0.

Step 7: Loop termination

Since A (0) is no longer greater than or equal to B (3), the loop terminates.

Therefore, The output generated by the code execution will be "25, 16, 9, 4, 1" as the squares of A (starting from 5 and decreasing by 1) are displayed in each iteration of the loop.

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The sum of the remainders is 10. This result is independent of the value of x and holds true for any five consecutive positive integers.

Arbitrary positive integer is any positive integer that is chosen without any particular reasoning or pattern. This can also refer to any number that is randomly chosen or assigned.

Let the original numbers be x, x+1, x+2, x+3, and x+4, where x is an arbitrary positive integer.

Then, their modulo 5 values are x mod 5, (x+1) mod 5, (x+2) mod 5, (x+3) mod 5, and (x+4) mod 5.

Now, let's calculate the sum of these modulo 5 values.

x mod 5 + (x+1) mod 5 + (x+2) mod 5 + (x+3) mod 5 + (x+4) mod 5

= x mod 5 + x mod 5 + 1 + x mod 5 + 2 + x mod 5 + 3 + x mod 5 + 4

= 5x mod 5 + 10

= 0 + 10

= 10

Hence, the sum of the remainders is 10.

This result is independent of the value of x and holds true for any five consecutive positive integers.

This is because when modulo 5 is applied to any set of five consecutive numbers, each number in the set will have an entry in the modulo 5 table, and the sum of the entries in the table is 10.

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Answer:

32

Step-by-step explanation:

Pythagorean theorem

\(a^{2} + b^{2} =c^{2}\)

a = perpendicular

b = base

c = hypotenuse

we have to find the hypotenuse

so,

\(13^{2} + 29.25^{2} = c^{2} \\169 + 855.6 = c^{2}\\1024.6 = c^{2}\\\sqrt{1024.6} = \sqrt{c^{2}} \\c = 32\)

Answer:

Step-by-step explanation:

i hope it Helps, Thank you so much, good luck for you

\(\underline{\underline{\large\bf{Solution:-}}}\\\)

V = lwh

where

In equation -

\(\begin{gathered}\\\implies\quad \sf V = lwh\\\end{gathered} \)

\(\begin{gathered}\\\implies\quad \sf lwh = V \\\end{gathered} \)

Since w and h are multiplying l , when they will be transposed to other side of equation, they will divide V and thus be in denominator.

\(\begin{gathered}\\\implies\quad \sf l = \frac{V}{wh} \\\end{gathered} \)

Thus , V will be in numerator, which is our required answer.

By using the formula for mean and variance, it can be calculated that

Mean of X = 25

Variance of X = 51.67

What is mean and variance?

Suppose there is a data set. Mean gives the average of the values of the data set

Variance is the square of the sum of deviation from mean.

Let x be the total; of the numbers on the two card

Possible values of X= 15, 20, 25, 30, 35

P(X = 15) = \(\frac{2}{12}\)

P(X = 20) = \(\frac{2}{12}\)

P(X = 25) = \(\frac{4}{12}\)

P(X= 30) = \(\frac{2}{12}\)

P(X = 35) = \(\frac{2}{12}\)

Mean of X =

\(15 \times \frac{2}{12} + 20 \times \frac{2}{12} +25 \times \frac{4}{12} + 30 \times \frac{2}{12} + 35 \times \frac{2}{12}\\\\\frac{300}{12}\\\\25\)

Variance of X =

= \((225 \times \frac{2}{12} + 400 \times \frac{2}{12}+625 \times \frac{4}{12}+900 \times \frac{2}{12}+1225 \times \frac{2}{12}) - (25)^2\\\\\frac{8000}{12} - 625}\\\\666.67 - 625\\\\51.67\)

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Complete Question

In a box are four cards numbered 5, 10, 15, 20. two cards are taken out at random without replacement, and X is the total; of the numbers on the two card. Find the mean and variance of X .

Answer: Yes!

Step-by-step explanation:

You go from the 2 to the 8 in 12800. And sense the 8 is higher you change the 2 to a 3. So it makes 13000.

It is C because if you dont trust me then your failing math