sketch the region enclosed by the given curves (within the given bounds, if provided) and find its area.

As per the linear equation, the x-intercept of the graph of the equation will be (-8, 0).

It is possible to determine a line's direction and steepness by looking at its slope. Finding the slope between lines inside a coordinate plane can aid in anticipating if the lines are perpendicular, parallel, or none at all without physically using a compass.

As per the information given in the question,

The given equation is,

y= -1/4 x + 2

Now, let's take y = 0 for x- intercept,

So, the equation will be,

0 = 1/4x + 2

1/4x = -2

x= -8

The x-intercept is (-8, 0).

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The question sees incomplete, your question may be:

Here is a linear equation: y = 1/4x + 2 What is the x-intercept of the graph of the equation?

The central limit theorem's not needed when the original distribution is normal, the distribution of the sample mean is always normal in that case. So, option (a) is correct. If the sample size is reasonably large (for any population) is correct.

Given that,

The central limit theorem is important in statistics because it allows us to use the Normal distribution to find probabilities involving the sample mean,

In layman's words, the theorem asserts that regardless of the form of the initial population distribution, the sampling distribution of the mean tends to resemble a normal distribution as the sample size rises.

Statistics benefits from the Central Limit Theorem because it makes it safe to assume that the sampling distribution of the mean will be typically normal. As we will see in the next section, this means that we can benefit from statistical methods that presume a normal distribution.

The distribution of people's heights within a population is one illustration of how the central limit theorem is put to use. Even though the population's distribution of heights is not normal, when we sample this population, the distribution of the sample averages will be roughly normal.

Therefore,

The central limit theorem's not needed when the original distribution is normal, the distribution of the sample mean is always normal in that case. So, option (a) is correct. If the sample size is reasonably large (for any population) is correct.

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Answer:

0.1904

Step-by-step explanation:

4/7 ÷ 3 is = 0.1904

Answer: I hope this helps

Step-by-step explanation:

4/7 divided by 3

Dividing is equivalent to multiplying by the reciprocal
4/7 times 1/3 or 4/7•1/3

Multiply the fractions

And you get

4/21 or 0.190476

The equivalent expression for the given expression is 29/3.

Equivalent expressions are expressions that work the same even though they look different. If two algebraic expressions are equivalent, then the two expressions have the same value when we plug in the same value for the variable.

The given mixed fraction [tex]9\frac{2}{3}[/tex].

There are equivalent improper fractions for all mixed numbers. By multiplying the integer by the denominator and then adding the numerator, they are transformed. The numerator will not change.

Convert mixed fraction to improper fraction as follows

Improper fraction = [(Numerator × Denominator)+Numerator]/Denominator

[(9×3)+2]/3

=[27+2]/3

= 29/3

Therefore, the equivalent fraction for the given mixed fraction is 29/3.

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We can fill in the remaining fractions and percentages.
as
0             1/4            2/4           3/4              1
|--------------|--------------|--------------|--------------|
0%          25%         50%           75%       100%

What is a number line?

A number line is a straight line that is used to represent real numbers. The numbers are usually represented as points on the line, and the distance between the points corresponds to the magnitude of the numbers. The numbers can be positive or negative and are typically marked at regular intervals.

The missing parts are

0             1/4            2/4           3/4              1
|--------------|--------------|--------------|--------------|
0%          25%         50%           75%       100%

This is how we can fill in the remaining fractions and percentages.

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Answer:

  A, C

Step-by-step explanation:

You want all the shapes that are enlargements of shape X, which is 1 unit high and 3 units wide.

An enlargement of shape X multiplies each of its dimensions by the same factor. When it is enlarged by a factor of 2, the dimensions become ...

  high : wide = 1 : 3 = 2 : 6 . . . . . . matches shape C

When it is enlarged by a factor of 3, the dimensions become ...

  high : wide = 1 : 3 = 3 : 9 . . . . . . . matches shape A

The 2-high shape B is too short, being 4 1/2 wide instead of 6. Shape F is too long, being 7 wide instead of 6.

The 3-high shapes D and E are too short, being 8 and 5 wide instead of 9.

__

Additional comment

An enlargement preserves the aspect ratio of the shape, the height to width ratio. Here, that is 1:3. Any shape with a different aspect ratio is not an enlargement of X.

Answer:

[tex]\frac{19}{6}[/tex]

Step-by-step explanation:

3[tex]\frac{1}6}[/tex]

[tex]\frac{6}{6}[/tex] + [tex]\frac{6}{6}[/tex] + [tex]\frac{6}{6}[/tex] + [tex]\frac{1}{6}[/tex]              [tex]\frac{6}{6}[/tex] is another name for 1  How many 6th's do we have?

[tex]\frac{19}{6}[/tex]

According to Trigonometric Identity , tan(theta) = -5 / 13

Trigonometric Identities are equality statements that hold true for all values of the variables in the equation and that use trigonometry functions. The relationship between a triangle's side length and angle is expressed by a variety of specific trigonometric identities.

Sin, cos, and tan are the three fundamental trigonometric ratios. The reciprocals of sin, cos, and tan are represented by the three additional trigonometric ratios sec, cosec, and cot in trigonometry, respectively.

According to the given information

We know that

tan(theta) = 1/cot(theta)

                = 1 / -2.6

                = -1 / 2.6

                = -10 / 26

                = -5 / 13

According to Trigonometric Identity , tan(theta) = -5 / 13

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A. Model is fitted using training dataset and E. Validation dataset is used to minimize model overfitting are true about machine learning algorithms

The process by which an AI system completes its task—generally, forecasting output values from provided input data—is known as a machine learning algorithm. Classification and regression are the two key operations of machine learning algorithms.

Simple linear regression, decision trees, logistic regression, the KNN algorithm, and other well-known supervised learning techniques are some examples.

Machine learning is crucial because it helps businesses identify trends in customer behaviour and operational patterns and facilitates the creation of new goods.

According to the question,

Option A and option E are correct about the machine learning algorithms

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So, the ordered pair which lies on the graph of the function y = -2x + 1 is (3,-5)

We will use the substitution method and check for all the ordered pair which are given

If the ordered pair lies on the graph, then it should satisfy the function.

So,

Given,

y = -2x+1

First check for (0,-2)

x=0, y=-2

Substitute the values,

y = -2x+1

-2=-2(0)+1

-2=1

It is false.

Next check for (2,-2)

x=2, y=-2

Substitute the values,

y = -2x+1

-2=-2(2)+1

-2=-3

It is false.

Next check for (3,-5)

x=3, y=-5

Substitute the values,

y = -2x+1

-5=-2(3)+1

-5=-5

It is true.

Next check for (5,2)

x=5, y=2

Substitute the values,

y = -2x+1

2=-2(5)+1

2=9

It is false.

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Answer:

Step-by-step explanation:

a) 1012⁵ can be written as:

1012⁵ = 15¹² + 05¹¹ + 1*5¹º

= 5¹² + 5¹º

= 3125 + 625

= 3750

(b) 101⁵ can be written as:

101⁵ = 15⁴ + 05³ + 1*5²

= 5⁴ + 5²

= 625 + 25

= 650

(c) 1.1⁵ can be written as:

1.1⁵ = 15¹ + 15º

= 5¹ + 5º

= 25 + 5

= 30

(d) 10.21⁵ can be written as:

10.21⁵ = 15² + 05¹ + 25º + 15⁻¹

= 5² + 2*5º + 5⁻¹

= 25 + 10 + 0.2

= 35.2

(e) 210⁵ can be written as:

210⁵ = 25⁴ + 15²

= 2*625 + 25

= 1250 + 25

= 1275

Answer:

need the numbers to do it

Answer:

B, F

Step-by-step explanation:

[tex]2x^2(x-4)^2=0 \\ \\ \implies x^2=0, (x-4)^2=0 \\ \\ \implies x=0,4[/tex]

Answer:

-41.328

Step-by-step explanation:

Answer:

-41.328

Step-by-step explanation:

Addition multiplied by subtraction gets you subtraction. +-=-

so now, ()= multiplication

so now all you have to do is 17.22 times 2.4 which gets us 41.328

then, add the negative sign which gives you -41.328

yw :)

The best estimate of the solution to the system of linear equations is the point are (x,y) will be (0.76, 4.30).

A linear equation in two variables is one that is written in the form axe + by + c=0, where a, b, and c are real numbers and the coefficients of x and y, i.e. a and b, are not equal to zero.

Given:

as x,y are variables,

-3x + y = 2 ..............(1)

- 4x + 7y = 1 ...........(2)

We know that,

The solution of the system of linear equations is the intersection point of both graphs

Multiply equation (1) by 7 on both sides and then subtract it from eq (2)

- 4x + 7y = 1 ...........(2)

-21x + 7y = 14 ..............(1)

⇒- 17 x = -13

⇒ 17 x = 13

⇒ x =[tex]\frac{13}{17}[/tex]

⇒ x = 0.76

Now on putting value of x  = 0.76 in eq (1) we get

- 3x + y = 2 ............ (1)

⇒- 3(0.76) + y = 2

⇒y = 4.30

The best estimate of the solution to the system of linear equations is the point (x,y) will be (0.76, 4.30).

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Answer:

  7.2 cm

Step-by-step explanation:

You want the value of C to the nearest tenth centimeter, given that 4^2 + 6^2 = C^2.

Simplifying gives ...

  4^2 + 6^2 = C^2

  16 +36 = C^2 = 52

  C = √52 ≈ 7.2

The length of the missing side is about 7.2 cm.

Sister's age will be equal to 12 and Kim's age is 24.

An equation is an expression that shows the relationship between two or more numbers and variables. Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Consider that x is sister's age, Kim's age is twice that of her sister

Thus Kim's age = 2x

Kim’s age + Sister’s age = 36

The equation:

x + 2x = 36

Now solve the equation;

x + 2x = 36

3x = 36

 x = 36 / 3

 x = 12

Therefore, Kim's age = 2x = 2(12) = 24

Hence, Sister's age is 12 and Kim's age is 24.

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Answer:

0.65 pens

2.25 rubber

Step-by-step explanation

You can make two equations with the information given and solve them simultaneously to find x and y. Assume x is pens and y is rubber.

Answer:

See below and attached graph

Step-by-step explanation:

If you are using a graphing calculator it is a breeze. You write down the equation as it is and it should plot it, depending on what calculator you use.

If you are doing this manually here are the steps
We are given y - 2 = 3(x-2)

Expand the brackets on the right hand side
3(x - 2) = 3x - 6

So the original equation becomes
y - 2 = 3x - 6

Adding 2 to both sides
y - 2 + 2 = 3x -6 + 2

y = 3x - 4   [1]

This form of equation is known as a slope-intercept form of the line

We need two points to plot a line. This can be done by choosing a value for x, finding the y value which gives one point. Then repeat for another value of x to get y for that value giving another point. Draw a straight line through both points

Point 1
Let's choose x = 2 and plug this into the equation [1]
y = 3·2 - 4 = 6- 4 = 2.
So (2, 2) is one point on the graph

Point 2

Choose another value for x, say x = 4

y = 3·4 - 4

y = 12-4

y = 8

So (4, 8) is another point

Draw a line through these two points

the measure of ∠LPM is 90°

the measure of ∠PMN is 102°

the length of LN is 10 units.

Define Rhombus.

A rhombus is a special case of a parallelogram, and it is a four-sided quadrilateral. In a rhombus, opposite sides are parallel and the opposite angles are equal.

For a Rhombus, LMNO

∠LON = 102°

NP = 5 units

By the properties of Rhombus, we know that

All sides of a rhombus are congruent (equal)

So, LM = MN = NO = OL

and

Opposite angles are equal and the opposite sides are parallel.

So, ∠LON = 102° = ∠LMN

Since Adjacent angles add up to 180°.

Therefore ∠L + ∠M = 180°

                 ∠M + ∠N = 180°

                 ∠N + ∠O = 180°

                 ∠O + ∠L = 180°

So, ∠N = 180° - ∠O = 180° - 102° =78°

      ∠L = 180° - ∠O = 180° - 102° =78°

      ∠M = 180° - ∠L = 180° - 78° =102°

Diagonals bisect each other at 90° or we can also say that each of the two diagonals in a rhombus is the perpendicular bisector of the other.

So, ∠LPM = ∠NP0 = ∠MPN = ∠LPO =90°

Thus, the measure of ∠LPM is 90°

         the measure of ∠PMN is 102°

         the length of LN is 10 units.

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Answer:

Lpm= 90

PMN=51

LN= 10

Step-by-step explanation:

Answer:

Hope this helps!

Answer:

Y=6x-12

Step-by-step explanation:

whenever the X is at zero the number across from it is the Y-intercept. and to find the slope just count how much they are increasing or decreasing by.

When tiles are drawn, with replacement, from a bag of lettered tiles, X is the number of vowels in 5 draws variable has binomial distribution

The possibility that a value would take one of two independent values given a particular combination of factors or assumptions is summarised by the statistical distribution known as the binomial distribution.

The basic presumptions of the binomial distribution are:

As opposed to a continuous distribution, like the normal distribution, the binomial distribution is a frequent discrete distribution used in statistics.

The probability of success raised to the power of the number of successes and the probability of failure raised to the power of the difference between the number of successes and the number of trials are multiplied to create the binomial distribution.

The result is then multiplied by the sum of the number of attempts and the number of successes.

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The solution in inequality notation and in interval notation is (-∞ . -√5]∪[√5,36)

The term inequality refers the a relationship between two expressions or values that are not equal to each other is called 'inequality.

Here we have given the inequality (x² - 5)/ (x - 36) < 0

And we need to find the solution in inequality notation and in interval notation.

In order to find the inequality notation, we have to solve the given inequality, then we get.

(x² - 5)/ (x - 36) < 0

(x² - 5) < 0

x² < 5

x < √5

While we looking into the inequality we must know that the denominator must not be 0.

So, the interval notation can be written as,

=>  (-∞ . -√5]∪[√5,36)

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The distance between Wet Creek and Soggy will be 894.03 miles.

The Pythagoras theorem states that the sum of two squares equals the squared of the longest side.

The Pythagoras theorem formula is given as

H² = P² + B²

The distances between Dry Ravine, Wet Rivulet, and Saturated Waterway can be addressed by a triangle.

The distance between Dry Ravine and Wet Rivulet is 530 miles and the distance between Dry Gorge and Saturated Waterway is 721 miles.

The distance between Wet Creek and Soggy will be given as,

d² = 530² + 721²

d² = 280,900 + 518,400

d² = 799,300

d = 894.03 miles

The distance between Wet River and Soaked will be 894.03 miles.

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(a) The logistic regression model in this case is

log(p/(1-p)) = beta0 + beta1X1 + beta2X2 + beta3×X3

where p is the probability of Y-1 (i.e. getting a flu shot), X1 is the customer's age, X2 is the health awareness index, X3 is the gender (1 for men, 0 for women), and beta0, beta1 , beta2 , and beta3 are the estimated coefficients.

(b) From the output, the predictors that have the most influence on the response are X1, X2, and X3. You can confirm this by looking at the p-value of the Wald chi-square test for each predictor. A predictor is considered significant if the p-value is less than 0.05. In this case, the p-values ​​for all three predictors are less than 0.05, indicating that they are all significant.

(c) AIC (Akaike Information Criterion) or SC (Schwarz Criterion) values ​​can be used to determine if the overall model is significant. A lower AIC or SC value indicates a better fit of the model to the data. In this case, both the AIC and SC values ​​are lower for the model with all three predictors (136.941 and 134.941, respectively) compared to the intercept-only model (140.010 and 136.941, respectively). This is significant because the model fits all three predictors better.

(d) These values ​​can be incorporated into a logistic regression model to estimate the probability of Y-1 (getting a flu shot) with X1=60, X2=30, X3=1 (men) .

log(p/(1-p)) = beta0 + beta160 + beta230 + beta3*1

Solving for p gives:

p = 1/(1+exp(-log(p/(1-p))))

You can estimate p using the maximum likelihood estimates of beta0, beta1, beta2, and beta3 provided in the output.

(e) To determine the Y-1 odds ratio for men and women, you can compare the Y-1 odds for men (X3=1) and the Y-1 odds for women (X3=0). Men's Y-1 odds are as follows:

Odds (Y-1 for men) = p/(1-p)

where p is the Y-1 probability of her being male and can be estimated using a logistic regression model and maximum likelihood estimation of the coefficients. Women's Y-1 odds can be calculated in the same way using X3=0.

To create a 95% confidence interval for the odds ratio, use the standard error of the coefficient to calculate the standard error of the log odds ratio. A 95% confidence interval can be calculated as follows:

Odds ratio +/- 1.96×standard error

(f) To test whether the model containing only the intercept is significantly different from the model containing all three predictors, a likelihood ratio test can be used. The null hypothesis is that the model with only the intercept is not significantly different from the model with all three predictors. The alternative hypothesis is that the model with only the intercept is significantly different from the model with all three predictors. The test statistic is computed as

-2×(log probability

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A 99% confidence interval for the true proportion of college students believing in ghosts is Option(c)  (0.4901, 0.6699)

According to the question,

A professor wanted to know what proportion of college students believe in ghosts.

For that he drawn a sample from the college.

Sample size : n = 200

Proportion of students that believed in ghosts in sample = 58%

=> p = 0.58

Proportion of students who does not believe in ghost : q = 1 - p

=> q = 0.42

We have to create a 99% confidence interval for a true proportion of college students believing in the ghosts

Formula of C.I = [tex]p \pm ( z_{\alpha} \sqrt{\frac{pq}{n}})[/tex]

Where p and q is sample proportion , z is value of CI at given α level of significance and n is sample size

C.I at 99% = 0.58 ± 2.576 √0.58×0.42/200

=> 0.58 ± 2.576 √0.001218

=>  0.58 ± 2.576 × 0.035

=> 0.58 ± 0.08958

C.I = ( 0.58 - 0.08958 , 0.58 + 0.08958)
=> C.I = (0.4901, 0.6699)

Hence, Option (c) is correct

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Answer:

41%

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

3.4^0 = 1

9^1 = 9

1 * 9 = 9

It has been (mathematically) proven that there is no polynomial time algorithm for any np-complete problem. the given statement is false.

In order to solve previously unsolvable issues, Leonid Khachiyan developed a polynomial-time method, in which the number of processing steps increases as a power of the number of variables rather than exponentially.

Determining whether NP-complete problems are tractable or intractable remains one of the most crucial concerns in theoretical computer science since it is unknown if any polynomial-time algorithms will ever be developed for them.

So, it is unknown if any polynomial-time algorithms will ever be developed for them.

By applying different constraints, a linear function is maximized or reduced in linear programming, a mathematical modelling approach. In commercial planning, industrial engineering, and—to a lesser extent—the social and physical sciences, this method has proven helpful for directing quantitative decisions.

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