PLEASE HELP ASAPPPPPP

PLEASE HELP ASAPPPPPP

Answers

Answer 1

Answer:

y = x

Step-by-step explanation:

The C's are both placed at 5


Related Questions

a correlation coefficient is a statistical measure of theextent to which two factors vary or relate together.statistical significance of a difference between two sample means.frequency of scores at each level of some measure.difference between the highest and lowest scores in a distribution.

Answers

The correlation coefficient measures the relationship between variables. Statistical significance determines if a difference is meaningful. Frequency represents distribution, and range measures variability in data.

A correlation coefficient is a statistical measure of the extent to which two factors vary or relate together.

It quantifies the strength and direction of the linear relationship between two variables. The correlation coefficient ranges from -1 to +1, where -1 indicates a perfect negative correlation, +1 indicates a perfect positive correlation, and 0 indicates no linear correlation between the variables.

Statistical significance of a difference between two sample means

Statistical significance refers to the likelihood that an observed difference or relationship between variables in a sample is not due to random chance but reflects a true difference or relationship in the population. It is assessed using hypothesis testing and p-values. If the p-value is below a predetermined significance level (often 0.05), the difference or relationship is considered statistically significant.

Frequency of scores at each level of some measure.

The frequency of scores at each level of some measure refers to the number of times each value or category occurs in a dataset. It provides information about the distribution of scores and allows us to understand the prevalence of different values or categories within the data.

Difference between the highest and lowest scores in a distribution.

The difference between the highest and lowest scores in a distribution is known as the range. It is a simple measure of dispersion that provides an indication of the spread or variability of the data. It is calculated by subtracting the lowest score from the highest score.

Each of these concepts has its own significance and application in statistical analysis.

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In Rhombus THRY, Angle H is 3x+51, and Angle T is 2x+44, what is the measure of angle Y 102 90 88 78

Answers

The sοlutiοn οf the given prοblem οf angles cοmes οut tο be the angle Y has a 78 degree value.

An angle meaning is what?

The twο circular lines that fοrm the ends οf a skew in Cartesian cοοrdinates are divided by the tοp and bοttοm οf the wall. Twο beams cοlliding may result in a junctiοn pοint. Angle is anοther οutcοme οf twο things interacting. They resemble dihedral shapes the mοst. A twο-dimensiοnal curve can be created by arranging twο line beams in variοus cοnfiguratiοns at their ends.

Here,

Oppοsing angles are equivalent in a rhοmbus. As a result, we have:

=> Angle H = Angle R = 3x + 51

=> Angle T = Angle Y = 2x + 44

Any quadrilateral's internal angles, including thοse in a rhοmbus, add up tο 360 degrees. Cοnsequently, we can write:

=> Angle H + Angle R + Angle T + Angle Y = 360

With the fοrmulas fοr each angle substituted, we οbtain:

=> (3x + 51) + (3x + 51) + (2x + 44) + (2x + 44) = 360

By cοndensing the left half, we οbtain:

=> 10x + 190 = 360

190 frοm bοth parts are subtracted, giving us:

=> 10x = 170

When we divide by 10, we get:

=> x = 17

Nοw we can determine the angle Y's measurement:

=> Angle Y = 2x + 44

=> Angle Y = 2(17) + 44

=> Angle Y = 34 + 44

=> Angle Y = 78

As a result, the angle Y has a 78 degree value.

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In Rhombus THRY, Angle H is 3x+51, and Angle T is 2x+44, what is the measure of angle Y 102 90 88 78

When the value of r is 0.8 the two variables have high correlation?

Answers

There is a significant association if is between 0.85 and 1. There is a moderate connection if lies between 0.5 and 0.85. If, then there is a weak association between the two variables.

What is Correlation Coefficient?

The strength of the linear link between two separate variables, x and y, is shown by correlation coefficients.

A positive relationship is shown by a linear correlation coefficient greater than zero.

Indicating a negative association is a value less than zero. The two variables x and y do not have any relationship when their values are 0, to sum up.

The correlation coefficient (r2) is a statistic that expresses how closely two variables' movements are related to one another.

To determine the linear relationship between two variables, the Pearson product-moment correlation, the most popular correlation coefficient, is used.

However, this correlation value might not necessarily be a reliable indicator of reliance in a non-linear connection.

Hence, There is a significant association if is between 0.85 and 1. There is a moderate connection if lies between 0.5 and 0.85. If, then there is a weak association between the two variables.

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Which function has the given properties below?

The domain is the set of all real numbers.
One x-intercept is (2 pi, 0).
The amplitude is 4.
The point (StartFraction pi over 2 EndFraction, negative 4 EndFraction) is on the graph.
The y-intercept is (0, 0).
y = –4sin(x)
y = –4cos(x)
y = 4sin(x)
y = 4cos(x)

Answers

The given data are:

A function that:

The domain is the set of all real numbers

One x-intercept

The amplitude is 4

The y-intercept is (0,0)

From the choices, the functions containing "cosine" can be eliminated  since the described function passes through (0,0). So, we are left with two choices:

\(y = -4sin(x)\) and \(y = 4sin (x)\)

Given the amplitude of 4, the answer must be \(y = 4 sin(x)\)

plz help me in this question​

plz help me in this question

Answers

Answer:

Article 2 is less than Rs.26700.15617

At a used book sale, paperback books sell for $3 each and hardback books sell for $8 each. If Claude purchased 10 used books for a total cost of $45 at the used book sale, how many hardback books did he purchase?​

Answers

Claude purchased 3 hardback books

What is the meaning of purchase?

Purchase refers to the act of buying or acquiring a product, service, or other item in exchange for money or some other form of payment. Purchases can be made by individuals, businesses, or other organizations, and can be made in a variety of ways, including online, in-store, or through a third-party vendor.

Let's assume that Claude purchased x paperback books and y hardback books.

From the problem statement, we can set up a system of two equations to represent the information given,

x + y = 10 (the total number of books Claude purchased is 10)

3x + 8y = 45 (the total cost of the books Claude purchased is $45)

We can use the first equation to solve for x in terms of y:

x = 10 - y

Substituting this into the second equation,

3(10 - y) + 8y = 45

Simplifying the equation,

30 - 3y + 8y = 45

5y = 15

y = 3

Therefore, Claude purchased 3 hardback books. To find the number of paperback books, we can use the equation we derived earlier:

x = 10 - y = 10 - 3 = 7

So, Claude purchased 7 paperback books and 3 hardback books.

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When Crossett Corporation was organized in January Year 1, it immediately issued 5,200 shares of $50 par, 6 percent, cumulative preferred stock and 9,500 shares of $14 par common stock. Its earnings history is as follows: Year 1, net loss of $13,500; Year 2, net income of $64,700; Year 3, net income of $93,600. The corporation did not pay a dividend in Year 1.

Assume that the board of directors declares a $42,700 cash dividend at the end of Year 2 (remember that the Year 1 and Year 2 preferred dividends are due). How will the dividend be divided between the preferred and common stockholders? (Amounts to be deducted should be indicated with minus sign. Do not round your intermediate calculations.)


Amount Distributed to Shareholders

Preferred Common

Total dividend declared $42,700 0 0

Year 1 Arrearage $15,600 0

Year 2 Preferred dividends 15,600 0

Available for common 42,700

Distributed to common 0 $11,500

Total distribution $31,200 $11,500

Answers

Preferred stockholders will receive $31,200 and common stockholders will receive $11,500 from the $42,700 cash dividend declared at the end of Year 2.

Crossett Corporation issued 5,200 shares of $50 par, 6 percent cumulative preferred stock, and 9,500 shares of $14 par common stock when it was organized in January Year 1. In Year 1, the company experienced a net loss of $13,500 and did not pay a dividend. At the end of Year 2, after a net income of $64,700, the board of directors declared a cash dividend of $42,700.

Preferred stockholders are entitled to receive their dividends first, including any unpaid dividends from previous years. In Year 1, the preferred stockholders were entitled to a dividend of $15,600 (5,200 shares x $50 x 6%), which remained unpaid. In Year 2, they are again entitled to $15,600.

The total amount due to preferred stockholders is $31,200 ($15,600 for Year 1 arrearage + $15,600 for Year 2 preferred dividends). Since the total dividend declared is $42,700, the remaining $11,500 ($42,700 - $31,200) will be distributed to the common stockholders.

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There are 13 yellow cards, 6 blue, 10 red, and 8 green cards in a stack of cards faced down. Once a card is selected, it is not replaced. Find the probability of 2 blue cards

Answers

Answer:

0.08

Step-by-step explanation:

Given data

Sample space

13 yellow cards

6 blue

10 red

8 green cards

Sample size= 13+6+10+8

=37

probability of 2 blue cards

= 6/37+5/36

=42+42/962

=84/962

=0.08

Hence the  probability  is 0.08

PLEASE HELP ASAP.
A triangle with a vertex at point Y(-3, 7) is dilated by a scale factor represented by the coordinate pair (2/3x, 2/3y ). What is the location of Y'?

Please look at the picture below for the answer choices.

PLEASE HELP ASAP. A triangle with a vertex at point Y(-3, 7) is dilated by a scale factor represented

Answers

Answer:

\(Y' = (-2, 4\frac{2}{3})\)

Step-by-step explanation:

Given

\(Y = (-3,7)\)

\(Scale\ Factor = (\frac{2}{3}x,\frac{2}{3}y)\)

Required

Determine Y'

Y' can be solved by multiplying the scale factor by Y

i.e.

\(Y' = Scale\ Factor * Y\)

For, the x coordinates.

\(Y' = \frac{2}{3}x\)

Where

\(x = -3\)

\(Y' = \frac{2}{3} * -3\)

\(Y' = \frac{-6}{3}\)

\(Y = -2\)

For the y coordinates:

\(Y' = \frac{2}{3}y\)

Where

\(y = 7\)

\(Y' = \frac{2}{3} * 7\)

\(Y' = \frac{14}{3}\)

\(Y' = 4\frac{2}{3}\)

Hence:

\(Y' = (-2, 4\frac{2}{3})\)

43 x ( 6÷24 6 ÷ 2 4 ) + 12÷2

Answers

We have 4 ways of solving one-step equations: Adding, Substracting, multiplication and division. If we add the same number to both sides of an equation, both sides will remain equal.

43 x ( 6÷24 6 ÷ 2 4 ) + 12÷2?

The BODMAS rule dictates that in this situation, we should compute the operations that are indicated inside the brackets first (2 + 4 = 6), then the Orders (52 = 25), any Multiplication or Division (3 x 6 (the solution to the brackets) = 18), and any Addition or Subtraction (18 + 25 = 43).

The order of operations is a set of common principles that represent standards about which process to carry out first to assess a given numerical statement in logic-oriented courses like mathematics. Calculating the outcome of a simple sum that only uses two numbers and one operation, or sign, is simple.

Either division, multiplication, subtraction, or addition are performed. Incorrect calculations will result in an incorrect response. Therefore, systematically memorise the order. There is a bracket.

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last question of the day and then i am finished, plz help, brainliest will be given

last question of the day and then i am finished, plz help, brainliest will be given

Answers

Answer:

72 / period  of time which is 2 = 36

36 / 3% = 36 / 0.03 = 1200

1200 is your answer

Now double check

1200 x 0.03 = 36

36 x 2 = 72

Hope this helps 1200 is your answer

Step-by-step explanation:

I NEED HELP!!!!!!!!
C(f)=5/9(f-32) if faith calculated C(68), what would her result be?

Answers

The numeric value of the function C(68) at f = 68 is given as follows:

C(68) = 20.

How to find the numeric value of a function or of an expression?

To find the numeric value of a function or of an expression, we replace each instance of the variable in the function or in the expression by the value at which we want to find the numeric value.

The function for this problem is defined as follows:

C(f) = 5/9 x (f - 32).

The input at which we want to find the numeric value for the function is then given as follows:

f = 68.

Which means that the lone instance of f in the definition of the function is replaced by 68, and then the numeric value is calculated as follows:

C(68) = 5/9 x (68 - 32) = 5/9 x 36 = 5 x 4 = 20.

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A newsletter publisher believes that 20 % of their readers own a Rolls Royce. Is there sufficient evidence at the 0.010.01 level to refute the publisher's claim

Answers

Yes, there is sufficient evidence to refute the publisher's claim that 20% of their readers own a Rolls Royce at the 0.01 level.

Is there evidence to support <20% Rolls Royce ownership among the publisher's readers?

The hypothesis test result indicates that the p-value is less than 0.01, which means the null hypothesis can be rejected at a 0.01 level of significance. Therefore, there is evidence to suggest that the true percentage of Rolls Royce owners among the newsletter publisher's readers is less than 20%. This could have implications for the publisher's advertising strategy and target audience.

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the length of a rectangle is four times its width. if the perimeter is at most 130 centimeters, what is the greatest possible value for the width? question 3 options: 2w + 2 • (4w) < 130 2w + 2 • (4w) > 130 2w + 2 • (4w) ≤ 130 2w + 2 • (4w) ≥ 130

Answers

Answer:

Step-by-step explanation:

Let L be the Length and W be the Width of a rectangle.

We are told that:    L = 4W   [the length of a rectangle is four times its width]

Perimeter = 2L + 2W

We learn that P ≤ 130 cm

2L + 2W ≤ 130 cm

Substitute L = 4W:  

2L + 2W ≤ 130 cm

2(4W) + 2W ≤ 130 cm

10W ≤ 130 cm

W ≤ 13 cm

Options:

2w + 2 • (4w) < 130     Not correct since the < sign does not allow for the "at most 130 cm.")

2w + 2 • (4w) > 130      Must be ≤, not >

2w + 2 • (4w) ≤ 130   This option works since the ≤ sign is correct.


A local hamburger shop sold a combined total of 817 hamburgers and cheeseburgers on Friday. There were 67 more cheeseburgers sold than hamburgers. How
many hamburgers were sold on Friday?
hamburgers

Answers

The number of hamburgers sold on Friday was 442.

Let us form the linear equation to find the number of burgers;

Let the cheeseburger be represented by x.

Since there were 67 more cheeseburgers sold than hamburgers. This means that hamburgers will be:

The number of hamburgers = x + 67.

Since the local hamburger shop sold a combined total of 817 hamburgers and cheeseburgers. This will be:

x + x + 67 = 817

2x + 67= 817

2x = 817 - 67

2x = 750

x = 750 / 2

x = 375

So, 375 cheeseburgers were sold on Friday.

Therefore, the number of hamburgers sold will be:

= 817 - 375

= 442

Thus, the number of hamburgers sold on Friday was 442.

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how do you do this question

how do you do this question

Answers

Step-by-step explanation:

Given,

\(x = {3}^{m} \)

\(y = {3}^{n} \)

Now

Consider

\( {3}^{4m - 1} \)

We know that

\( \frac{ {a}^{p} }{ {a}^{q} } = {a}^{p- q} \)

Using this we can write

\( {3}^{4m - 1} = \frac{ {3}^{4m} }{ {3}^{1} } \)

\( = \frac{ {3}^{4m} }{3} \)

We know that

\( ({a}^{p}) ^{q} = {a}^{pq} \)

Using this we get

\( \frac{ {3}^{4m} }{3} = \frac{ ({3}^{m})^{4} }{3} \)

Since we know that

\( {3}^{m} =x \)

We get

\(= \frac{ {x}^{4} }{3} \)

8 - 4s = s + 13

what is s?

Answers

Answer:

-5s = 5

S= - 1

Step-by-step explanation:

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The answer would be s=1

Because 8-4s=s+13
-8+4s= -8
-4s= s+5
+4s=+4s +5
5 divided by 5 gives you positive 1. Hope this helps

PLEASE HELP describe the slope of a line then find the slope

PLEASE HELP describe the slope of a line then find the slope

Answers

Answer:

0?

Step-by-step explanation:

the line is fully horizontal meaning there isn't a slope

A treasure hunter found an object more than 1,000 feet below sea level. Which value could represent the elevation, in feet, at which the object was found?

Answers

The treasure hunter found an object at a depth greater than 1,000 feet below sea level.

When referring to elevation below sea level, negative values are used. Sea level is considered to be 0 feet, and any point below that is represented by negative values. In this case, the treasure hunter found an object at a depth greater than 1,000 feet below sea level, which means the elevation can be represented as -1,000 feet or any value below that. The negative sign indicates that the object is situated below sea level. The exact value of the elevation will depend on the specific measurement taken by the treasure hunter, but it is certain that the object was found at a significant depth beneath the surface of the sea.

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Look at points C and D on the graph:

tag: Coordinate grid shown from negative 6 to positive 6 in increments of 1 on both the axes. A line is drawn by connecting point C at 0, 4 and point D at 3, 1.
What is the distance (in units) between points C and D? Round your answer to the nearest hundredth. (1 point)

Question 11 options:

1) 3.00 units

2) 3.46 units

3) 4.24 units

4) 6.00 units

Answers

Step-by-step explanation:

Using Pythagoras' Theorem,

Distance = sqrt[(0-3)² + (4-1)²]

= sqrt[(-3)² + 3²]

= sqrt18

= 4.24 units. (3)

for f(x) = x+1 and g(x)=2x+5 find the following functions(listed in photo)

for f(x) = x+1 and g(x)=2x+5 find the following functions(listed in photo)

Answers

The results of the composition of two functions are listed below:

f ° g (x) = 2 · x + 6 g ° f (x) = 2 · x + 7 f ° g (- 1) = 4 g ° f(- 1) = 5

How to find the expressions of composite functions

Let f and g be functions, with which we are asked to find the expressions of composite functions, where the input of one of the functions is substituted by the other function. The operation of composition is defined below:

f ° g (x) = f [g (x)]    

If we know that f(x) = x + 1 and g(x) = 2 · x + 5, then the resulting expression are shown below:

a) f ° g (x) = f [g (x)]

f ° g (x) = (2 · x + 5) + 1

f ° g (x) = 2 · x + 6

b) g ° f (x) = g [h (x)]

g ° f(x) = 2 · (x + 1) + 5

g ° f (x) = 2 · x + 7

c) f ° g (- 1) = f [g (- 1)]

f ° g (- 1) = 2 · (- 1) + 6

f ° g (- 1) = 4

d) g ° f (- 1) = g [f (- 1)]

g ° f (- 1) = 2 · (- 1) + 7

g ° f(- 1) = 5

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Miami is building a ramp with a base of 4 feel and a vertical height of 2 feet what is the length of the ramp round to the nearest tenth

Miami is building a ramp with a base of 4 feel and a vertical height of 2 feet what is the length of

Answers

Answer:

2√5

Step-by-step explanation:

By applying Pythagoras (hypotenuse)^2=(Base)^2 +(Height)^2

hich of the following characteristics of stars has the greatest range in values? A) mass. B) radius. C) core temperature. D) surface temperature.

Answers

Of the mentioned characteristics, that with the greatest range of values is Mass.

The mass of a star can range from about 0.08 solar masses to over 100 solar masses. This is a very wide range, and it is much wider than the ranges for radius, core temperature, or surface temperature.

The radius of a star is typically about 1-10 times the radius of the Sun. The core temperature of a star is typically about 10-100 million degrees Kelvin. The surface temperature of a star is typically about 2,000-30,000 degrees Kelvin.

Therefore, the mass of a star has the greatest range in values.

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Use Triangle's 1 and 2 to answer the following questions:
• Determine the scale factor from Triangle DEF to Triangle ABC.
• Find the missing side lengths (CB and FD).

Use Triangle's 1 and 2 to answer the following questions: Determine the scale factor from Triangle DEF

Answers

The scale factor from triangle DEF to triangle ABC is 1:4, and the missing sides CB and DF are 12cm and 2.5cm respectively.

What is the scale factor?

The ratio of the scale of an original thing to a new object that is a representation of it but of a different size is known as a scale factor (bigger or smaller).

For instance, we can increase the size of a rectangle with sides of 2 cm and 4 cm by multiplying each side by, let's say, 2.

So, taking out the scale factor:

DE:AB

2:8

1:4

The scale factor from triangle DEF to triangle ABC is 1:4.

Now, calculate the missing sides as follows using the scale factor:

3:CB ⇒ 3:4(3) ⇒ 3:12

DF:10 ⇒ 10/4:10 ⇒ 2.5: 10

Therefore, the scale factor from triangle DEF to triangle ABC is 1:4, and the missing sides CB and DF are 12cm and 2.5cm respectively.

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Evaluate the following expression for x = 1 and y = -3.
3yºx+x-y

Answers

Answer:

8

Step-by-step explanation:

yº  (in words, 'y to the power zero') is simply 1.  We then have

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

Substituting 1 for x and -3 for y, we get the expression value:

3 + 2 - (-3)  =  8

two of the vertices of a regular octahedron are to be chosen at random. what is the probability that they will be the endpoints of an edge of the octahedron? express your answer as a common fraction.

Answers

In an octahedron, there is a 12/15 = 4/5 chance that two randomly selected vertices will serve as the endpoints of an edge                                                                   

The term "octahedron" comes from the Greek word  which means "8 faced." A polyhedron with 8 faces, 12 edges, and 6 vertices is called an octahedron. Four edges meet at each vertex. One of the five platonic solids with faces that reflect equilateral triangles 

Few properties of an octahedron

An octahedron has 6 vertices and at each vertex 4 edges meet.        An octahedron has 8 faces shaped like an equilateral triangle, in the case of a regular octahedron.An octahedron has 12 edges.In a regular octahedron, the angles between the edges are measured at 60°

There are  different ways to select 2 of the 6 vertices is:
C(6,2)=6.5/2.1=15

In an octahedron, there is a 12/15 = 4/5 chance that two randomly selected vertices will serve as the endpoints of an edge.

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Find the rate of change for the situation. A chef cooks 9 lbs of chicken for 36 people and 17 lbs of chicken for 68 people.

Answers

To find the rate of change, we need to divide the number of people by the number of pounds of chicken used. This is 36/9 = 4. Additionally, you could have done 68/17 = 4.

henry's score on an accounting exam placed him in the 85th percentile in the class. what percentage of students scored higher than henry?

Answers

15% of the students scored higher than Henry on the accounting exam.

What is percentiles?

Percentiles are a measure of the relative standing of a value within a set of values. The nth percentile is a value such that n% of the values are less than or equal to that value.

So, if Henry's score is in the 85th percentile, it means that 85% of the scores in the class are less than or equal to his score.

Therefore, 100% - 85% = 15% of the scores in the class are higher than Henry's score. So, 15% of the students scored higher than Henry on the accounting exam.

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find the point on the plane 2x − y + 2z = 20 nearest the origin.

Answers

Therefore, the coordinates of point P are approximately (4.444, -2.222, 4.444). This is the point on the plane 2x - y + 2z = 20 nearest to the origin.

To find the point on the plane nearest to the origin, we need to minimize the distance between the origin and a point on the plane.

The distance between two points, (x₁, y₁, z₁) and (x₂, y₂, z₂), is given by the formula:

distance = √((x₂ - x₁)² + (y₂ - y₁)² + (z₂ - z₁)²)

In this case, we want to find a point (x, y, z) on the plane 2x - y + 2z = 20 that is closest to the origin (0, 0, 0).

We can set up this problem as an optimization problem by minimizing the distance function:

distance = √((x - 0)² + (y - 0)² + (z - 0)²) = √(x² + y² + z²)

subject to the constraint 2x - y + 2z = 20.

To solve this problem, we can use the method of Lagrange multipliers. We define the Lagrangian function:

L(x, y, z, λ) = x² + y² + z² + λ(2x - y + 2z - 20)

Taking the partial derivatives of L with respect to x, y, z, and λ, and setting them equal to zero, we can solve for x, y, z, and λ. However, this process is quite lengthy and involves solving a system of equations.

Alternatively, we can use geometric intuition to find the point on the plane nearest to the origin. The normal vector to the plane is given by the coefficients of x, y, and z, which is (2, -1, 2). This vector is perpendicular to the plane.

The point on the plane closest to the origin will be the one that lies on the line perpendicular to the plane and passes through the origin. Let's call this point P.

The direction vector of the line passing through the origin and perpendicular to the plane is the same as the normal vector, (2, -1, 2). Therefore, the coordinates of point P can be expressed as (2t, -t, 2t), where t is a scalar parameter.

Substituting these coordinates into the equation of the plane, we get:

2(2t) - (-t) + 2(2t) = 20

4t + t + 4t = 20

9t = 20

t ≈ 2.222

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sixty-eight percent of online courses taught at community colleges nationwide were taught by full-time faculty. to test if 68% also represents california's percent for full-time faculty teaching the online classes, long beach city college (lbcc) in california was randomly selected for comparison. in the same year, 34 of the 44 online courses lbcc offered were taught by full-time faculty. conduct a hypothesis test at the 5% level to determine if 68% represents california. note: for more accurate results, use more california community colleges and this past year's data

Answers

The Confidence Interval for the hypothesis test at the 5% level to determine if 68% represents California is 0.65, 0.90.

First, we need to find H₀ and Hₐ. In this case, we want to check whether California community colleges take 68% of the online classes thought by full-time faculties, or not.

H₀ : p = 0.68; Hₐ : p ≠ 0.68

Second, we need to determine the distribution needed. State what our random variable P’ represents.

Normal: N

Test Statistic : z = 0.1873

Third, we have to calculate he p-value using the normal distribution for proportions.

p-value = 0.1873

If the null hypothesis is true (the proportion is 0.68), thus there is a 0.1873 probability which the estimated proportion is 0.773 or more.

Fourth, we need to compare \(\alpha\) and the p-value, then indicate the correct decision (reject or do not reject the null hypothesis).

\(\alpha\) = 0.05

Decision : Do not reject the null hypothesis

Reason for decision : p-value > 0.05

At the 5% level, the data do not provide statistically significant evidence that the true proportion of online courses taught by full-time faculty is not 68%.

Last, define the confidence interval. The confidence interval is (0.6275, 0.8725) = (0.65, 0.90).

Learn more about confidence interval at: https://brainly.com/question/24131141

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