whats mean for 12 , 4 , -2 , 0 , 9 , -2 , 1 , 7 , 8 , 2 ​

The probability that these events when we randomly select a permutation is  24, 1/2, 1/2, 1/3, 1/4, 1/4

A probability is a numerical representation of the likelihood or chance that a specific event will take place. Both proportions ranging from 0 to 1 and percentages ranging from 0% to 100% can be used to express probabilities.

P(A) = n(A)/n (S)

The probability of an event "A" is P(A). The number of successful outcomes is n(A). The total number of events in the sample space is denoted by n(S).

1)  From the set we can select 4*3*2*1=24 permutations.

2) There are six permutations that begin with 1, three that begin with 2, three that begin with 3, and no permutations that begin with 4 when 1 comes before 4. So, P1 ={ 6+3+3+0}/{24} = 1/2

3) No permutations begin with 1, three permutations begin with 2, three permutations begin with 3, and six permutations begin with 4, where 4 comes before 1. P2=1/2 

4) There are no permutations that begin with 1, no permutations that begin with 2, no permutations that begin with 2, no permutations that begin with 3, and six permutations that begin with 4, where 4 comes before both 1 and 2. Therefore, P 3 = 1/3

​5) No permutations begin with 1, no permutations begin with 2, no permutations begin with 3, and there are six permutations that begin with 4, where 4 comes before 1, 2, and 3. So, P4= 1/4

​6) There are no combinations that begin with 1, three combinations that begin with 2, no combinations that begin with 3, and three combinations that begin with 4, where 4 comes before 3 and 2 comes before 1. So, P5= 1/4

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1. 4 ^ 9 x 4 ^ 3​

2. 4^9+3

answer: 4^12

Good luck!

The scale factor of the model car is 1:61.23.

To determine the scale factor, we need to compare the length of the actual car to the length of the model car. The length of the actual car is given as 16 3/4 feet, which can be converted to inches as (16 x 12) + 3 = 195 inches. The length of the model car is given as 3 1/4 inches.

To find the scale factor, we divide the length of the actual car by the length of the model car: 195 inches ÷ 3.25 inches = 60. In the scale factor notation, the first number represents the actual car, and the second number represents the model car. Therefore, the scale factor of the model car is 1:61.23.

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Answer:

y = - 2x + 17

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = - 2, then

y = - 2x + c ← is the partial equation

To find c substitute (6, 5) into the partial equation

5 = - 12 + c ⇒ c = 5 + 12 = 17

y = - 2x + 17 ← equation of line

If your argument leads to a misleading conclusion, it is probably unsound. It is also conceivable that the argument is sound but has a wrong premise.

If an argument has a faulty conclusion, either the premises are incorrect or the conclusion does not flow logically from the premises. This indicates that the reasoning is flawed.

An argument is deemed sound if all of its premises are true and it is valid (that is, the conclusion flows logically from the premises). Whether or not the conclusion is correct, the argument is flawed if any of the premises are untrue.

As a result, if your argument leads to a misleading conclusion, it is probably unsound. It is also conceivable that the argument is sound but has a wrong premise, in which case it is invalid.

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Using the equivalance rule, a is parallel to c so c is parallel to b so a is parallel to b.

In the given question, Lines a, b, c, and d are in the same plane.

Line a is parallel to line c.

Lines b and e are perpendicular to line d.

We have to find how lines a and b are related.

As a,b,c and d lie on the same plane, When b and c are perpendicular to d, b and c are parallel.

As a is parallel to c so c is parallel to b.

Since c is parallel to b so a is parallel to b.

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The area of the new rectangle is 9 times the previous area and the perimeter of the new rectangle is 3 times the previous area

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

(-1, 2), (-1, -4), (3, -4), and (3, 2).

See attachment for the points, where we have

Length = 4 and width = 6

Using area and perimeter formulas, we have

Area = 4 * 6 = 24

Perimeter = 2 * (4 + 6) = 20

Here, we have

New = (-3, 6), (-3, -12), (9, -12), and (9, 6).

See attachment for the points, where we have

Length = 12 and width = 18

Using area and perimeter formulas, we have

Area = 12 * 18 = 216

Perimeter = 2 * (12 + 18) = 60

The area of the new rectangle is 9 times the previous area

i.e. 216/24 = 9

The perimeter of the new rectangle is 3 times the previous area

i.e. 60/20 = 3

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Answer:

Step-by-step explanation:

To evaluate the given expression, we need to substitute the given values for x, y, and z. The expression becomes:

yz + x²

Substituting the given values, we get:

(6.1 * 0.2) + (3.2^2)

This simplifies to:

1.22 + 10.24

Therefore, the value of the expression is approximately 11.46.

11.46

gimme brainlyest gang

Answer:

x=30

Step-by-step explanation:

105 is also the same as angle b which is also the same as the angle opposite.

so

150+150=300

360-300=60

60/2=30

hope that helps.

plz mark as brainliest if correct

thank you

Answer:

x=75°

Step-by-step explanation:

the angle that is 105° and the angle that is x makes a co interior angle.

the two angles belonging to that co interior angle will always add up to 180°.

so in this case, 180° - 105° = x

answer = x=75°

Answer:

y intercept: 4, x-intercept: None

Step-by-step explanation:

Took the test and got it right

Answer:

5x+18

Have a great day :)

Answer:

The answer in this picture :)

Using inequalities, we can find that the 1st, 2nd and 4th inequality is correct. They are as follows:

1.2 < √5/2 < 1.8

√3/2 < √2 < 1.5

√6 < 2.5 < √7

When utilising the "equal to" symbol in mathematics, equations are not necessarily balanced on both sides. When one thing is superior to or inferior to another, the relationship is commonly referred to as "not equal to". A link between two numbers or other mathematical expressions that leads to an unfair comparison is referred to as an inequality in mathematics. In algebra, inequalities are a particular kind of mathematical expression.

Here in the question:

1st inequality given:

1.2 < √5/2 < 1.8

Now the value of √5/2

= 2.23/2

= 1.11

So, the inequality is correct.

Next, we have:

√3/2 < √2 < 1.5

Now, value of √3/2

= 1.73/2

= 0.86

Value of √2

= 1.41

So, the inequality is correct.

Next, we have:

2.1 < 2.3 < √5

Value of √5

= 2.23

So, this inequality is incorrect.

Next, we have:

√6 < 2.5 < √7

Value of √6

= 2.44

Value of √7

= 2.64

So, the inequality is correct.

Finally, we have:

√3 < 1.8 < √7/2

Now value of √3

= 1.73

Now value of √7/2

= 2.64/2

= 1.32

So, this inequality is incorrect.

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Answer:

(2x+3y)(x2+3x+2). it may helps you

Answer:

\(\tt 2x^3+3x^2y+6x^2+9xy+4x+6y\)

Step-by-step explanation:

\(\tt x^2(2x + 3y) + 3x (2x + 3y) +2 (2x + 3y)\)

Expand by distributing terms:-

\(\tt 2x^3+3x^2y+3x(2x+3y)+2(2x+3y)\)

Expand by distributing terms:-

\(\tt 2x^3+3x^2y+6x^2+9xy+4x+6y\)

~

Answer:

  x = 1, x = 5

Step-by-step explanation:

You want the solutions to the absolute value equation ...

  |x -7| = |2x -8|

Each of the absolute value functions is equivalent to a piecewise-defined function. The boundary for the pieces is the turning point of the absolute value function, where its argument is zero.

The turning points are ...

  x -7 = 0   ⇒   x = 7

  2x -8 = 0   ⇒   x = 8/2 = 4

This means the equivalent piecewise equation will have 3 pieces. We know the absolute value function is defined as ...

  \(|x|=\begin{cases}-x&\text{for }x < 0\\x&\text{for }x\ge0\end{cases}\)

If we write the equation in the form |x -7| - |2x -8| = 0, we have ...

  \(0=\begin{cases}-(x-7)-(-(2x-8))&\text{for }x < 4\\-(x-7)-(2x-8)&\text{for }4\le x < 7\\(x-7)-(2x-8)&\text{for }7\le x\end{cases}\)

The equation simplifies to ...

  -x +7 +2x -8 = 0

  x -1 = 0 . . . . collect terms

  x = 1 . . . . . . a value in the domain. This is one solution.

The equation simplifies to ...

  -x +7 -2x +8 = 0

  15 = 3x . . . . . . . . . . add 3x

  5 = x . . . . . . . . a value in the domain. This is another solution

The equation simplifies to

  x -7 -2x +8 = 0

  -x +1 = 0

  x = 1 . . . . . . . . . not in the domain 7 ≤ x, so not a solution

The solutions are x = 1 and x = 5.

__

Check

  |1 -7| = |2·1 -8|   ⇒   |-6| = |-6| . . . . true

  |5 -7| = |2·5 -8|   ⇒   |-2| = |2| . . . . true

Both solutions check in the original equation.

The statistical test that compares the distribution of mean differences between two groups to the mean difference between two groups is independent-sample t test.

Given that,

We have to find the statistical test that compares the distribution of mean differences between two groups to the mean difference between two groups.

We know that,

The independent Samples t take a look at analyzes the manner of two separate organizations to see if there's statistical guide that the populace imply values are statistically extensively distinctive. A parametric take a look at is the unbiased Samples t take a look at.

since, the two agencies are independent and we're checking if difference is good sized is independent-samples t test.

consequently, the statistical test that compares the distribution of imply differences between two companies to the imply difference among  corporations is unbiased-pattern t check.

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To determine if the success ratios of Incubator A and Incubator B are significantly different, we can perform a hypothesis test.

Let's set up the null and alternative hypotheses as follows:

Null Hypothesis (H0): The success ratios of Incubator A and Incubator B are not significantly different.

Alternative Hypothesis (H1): The success ratios of Incubator A and Incubator B are significantly different.

We can use a significance level (α) of 0.05, which is a common choice.

To test the hypothesis, we can use a two-proportion z-test since we are comparing the success ratios of two groups. The formula for the test statistic is:

z = (p1 - p2) / sqrt(p_hat * (1 - p_hat) * (1/n1 + 1/n2))

where:

p1 and p2 are the success ratios of Incubator A and Incubator B, respectively,

p_hat is the pooled sample proportion,

n1 and n2 are the sample sizes of Incubator A and Incubator B, respectively.

Let's calculate the test statistic and compare it to the critical value to make a decision.

Given:

Success ratio of Incubator A (p1) = 0.70

Sample size of Incubator A (n1) = 57

Success ratio of Incubator B (p2) = 0.39

Sample size of Incubator B (n2) = 40

First, calculate the pooled sample proportion (p_hat):

p_hat = (x1 + x2) / (n1 + n2)

where x1 is the number of successes in Incubator A and x2 is the number of successes in Incubator B. Since we are not given the actual counts, we cannot calculate the exact value of p_hat.

Next, calculate the test statistic (z) using the formula above.

Once we have the test statistic, we can compare it to the critical value from the standard normal distribution at the specified significance level (α) to make a decision.

If the test statistic falls within the rejection region (i.e., it is beyond the critical value), we reject the null hypothesis. If it falls within the acceptance region (i.e., it is within the critical value), we fail to reject the null hypothesis.

Without knowing the actual counts of successes in Incubator A and Incubator B, we cannot perform the calculations to determine if the success ratios are significantly different.

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When solving an optimization problem, always check that the critical number you found is a(n) "Local" or "Relative" Extremum.

A critical number is a point in the domain of a function where either the derivative is equal to zero or does not exist. It indicates a potential location for extreme values of the function. However, not all critical numbers necessarily correspond to extreme values.

To determine whether a critical number corresponds to a maximum or minimum, you need to perform additional analysis. One common approach is to use the first or second derivative test.

The first derivative test involves examining the sign changes around the critical number. If the sign changes from positive to negative as you move from left to right, the critical number corresponds to a local maximum. If the sign changes from negative to positive, the critical number corresponds to a local minimum.

The second derivative test involves analyzing the concavity of the function around the critical number. If the second derivative is positive, the critical number corresponds to a local minimum. If the second derivative is negative, the critical number corresponds to a local maximum. If the second derivative is zero or the test is inconclusive, further analysis is needed.

In summary, the critical number found in an optimization problem should be checked to determine if it is a local extremum, either a local maximum or a local minimum.

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Answer:

-4x - 20= -4x - 20

Step-by-step explanation:

Multiply -4 and x and -4 and 5. It has infinite solutions

Rick will have to wash the plates for three minutes.

By first figuring out the value of a single unit and then multiplying the number by that value, the unitary approach in mathematics can be used to determine the required value.

• The unitary technique can be used to determine how many kilometres can be covered with 2 litres of gasoline, for instance, if a car goes 80 km on 6 l of fuel.

He washed 4 dishes in 2 minutes, thus we need to calculate how long it would take Rick to wash 6 plates. 4 plates, according to the rule, equals 2 minutes. Applying the unitary approach 1 plate in 2/4 of a minute 1 plate Equals 12 minute. 3 minutes equals 6 plates (12 times 6.6 plates).

Therefore, Six dishes will need to be washed in 3 minutes.

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Answer:

D

Step-by-step explanation:

it is a strange question. but I guess its meaning is to identify an expression that is structured in the same way as the generic basic expression.

3×(n + 1.8)

after doing the multiplication this gives us

3n + 3×1.8 = 3n + 5.4

so, the only answer option including 5.4 is D.

it would mean that 3n = 3.75. n = 1.25

but just to show you how strange this question is, let's have a look at the other answer options :

is 5.55 = 3n + 5.4 ?

it would mean

0.15 = 3n

n = 0.05

so, formally, this is also an expression that represents the original expression.

9.15n = 3n + 5.4

6.15n = 5.4

n = 5.4/6.15 = 0.87804878...

so, formally, this is also an expression that represents the original expression.

3.75 + 1.8 = 3n + 5.4

5.55 = 3n + 5.4

and we are back to A and therefore, formally, this is also an expression that represents the original expression.

so, many greetings from me to your teacher. he/she has to be more careful about how to phrase questions.

because here, formally, all 4 answers are theoretically correct.

The level of measurement and number of levels of your independent variable will determine which statistical test is most appropriate for your data analysis.

T-test: The t-test is typically used to compare the means of two independent groups on a continuous variable. It is appropriate when your independent variable has only two levels and your dependent variable is measured at the interval or ratio level.

Product moment correlation: This is a measure of the strength and direction of the linear relationship between two continuous variables. It is appropriate when both variables are measured at the interval or ratio level.

Chi-square test: The chi-square test is used to test for association between two categorical variables. It is appropriate when both variables are measured at the nominal level.

One-way ANOVA: This test is used to compare the means of three or more independent groups on a continuous variable. It is appropriate when your independent variable has three or more levels and your dependent variable is measured at the interval or ratio level.

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Complete Question:

How the level of measurement and the number of levels of your independent variable help you choose between these options.

a) T test

b) Product moment correlation

c) Chi square

d) One way ANOVA

To compare the two quantities, divide the number of giraffes by the number of penguins There are 5 times as many giraffes as penguins at the zoo.

To compare the two quantities, you need to divide the number of giraffes by the number of penguins.

30 giraffes / 6 penguins = 5

This means that there are 5 times as many giraffes as penguins at the zoo.

There are 5 times as many giraffes as penguins at the zoo. To compare the two quantities, divide the number of giraffes by the number of penguins (30/6 = 5). This means that there are 5 times more giraffes than penguins at the zoo.

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The coordinate for the R' is (3, -4) if the R(-4, 3) is reflected in the line y = x option (D) is correct.

It is defined as the change in coordinates and the shape of the geometrical body. It is also referred to as a two-dimensional transformation. In the geometric transformation, changes in the geometry can be possible by rotation, translation, reflection, and glide translation.

We have:

Image of R(-4, 3) after a reflection in the line y = x

The rule for the reflection over y = x is:

(x, y) = (y, x)

(-4, 3) = (3, -4)

Thus, the coordinate for the R' is (3, -4) if the R(-4, 3) is reflected in the line y = x option (D) is correct.

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\(3x^2-10xy + 8y^2=\\\\=3x^2-6xy-4xy + 8y^2=\\\\=3x(x-2y)-4y(x-2y)=\\\\=(x-2y)(3x-4y)\)

The expressions x and 15-x add back up to 15.

An example: Let x = 7 which means the remaining piece is 15-x = 15-7 = 8 feet long.

Answer: 5-x

Step-by-step explanation:

The function f(x) = cos(x) + 2 represents continuous function.

A continuous function is a function that has no gaps, jumps, or other discontinuities in its graph. This means that as the input values of the function change, the output values change smoothly and gradually.

To graph the function f(x) = cos(x) + 2 choose a set of x values that will cover the range of the function. Let's choose x values from -π to π, in increments of π/4.

x = {-3.14, 0, 1.57,  3.14}

Evaluate the function f(x) for each x value in the set.

f(x) = cos(x) + 2

f(-3.14) ≈ 0.42

f(0) = 3

f(1.57) ≈ 2

f(3.14) ≈ 0.42

Plotting each point on Cartesian plane with the x value on the horizontal axis and the f(x) value on the vertical axis.

(-3.14, 0.42),  (-2.36, 1.42),  (-1.57, 2),  (-0.79, 2.58), (0, 3), (0.79, 2.58), (1.57, 2), (2.36, 1.42),  (3.14, 0.42)

Image of graph is attached below.

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Answer:

house

Step-by-step explanation:

I think,look I am just a little kid I am a  10 year old  kid in 5 th grade I am at school I am trying to cheat so sorry if it’s wrong

The confidence interval estimate of the population standard deviation is (8.34, 4.49).

The speeds measured from traffic on a busy highway, the sample data is:65, 63, 63, 57, 63, 55, 60, 59, 60, 69, 62, 66. We want to construct an 80% confidence interval estimate of the population standard deviation. The formula to compute the confidence interval is as follows:\[\text{Confidence Interval}=\left( \sqrt{\frac{(n-1)s^2}{\chi_{\frac{\alpha}{2},n-1}^2}}, \sqrt{\frac{(n-1)s^2}{\chi_{1-\frac{\alpha}{2},n-1}^2}}\right)\]Where,\[\text{s}= \text{sample standard deviation}\]n = sample size.\[\alpha= 1 - \text{confidence level}\]\[\chi^2= \text{critical value}\]From the given data, sample standard deviation can be computed as follows:$\text{sample standard deviation, s}= 4.60$.To find the critical values of Chi-Square distribution, $\alpha = 1-0.8 = 0.2$ and \[n-1 = 11\]Therefore, from the table of Chi-Square critical values, $\chi_{\frac{\alpha}{2},n-1}^2$ and $\chi_{1-\frac{\alpha}{2},n-1}^2$ can be computed as follows:$\chi_{\frac{\alpha}{2},n-1}^2=7.015$and $\chi_{1-\frac{\alpha}{2},n-1}^2=19.68$Putting all the computed values in the formula of the confidence interval, we have:Confidence Interval = $\left( \sqrt{\frac{(12-1)4.60^2}{7.015}}, \sqrt{\frac{(12-1)4.60^2}{19.68}}\right)$= (8.34, 4.49)Hence, the confidence interval estimate of the population standard deviation is (8.34, 4.49).

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