Estimate the MSE of the level k trimmed means for random samples of size 20 generated from a standard Cauchy distribution. (The target parameter 6 is the center or median; the expected value does not exist.) Summarize the estimates of MSE in a table for k = 1,2,...,9.

Answer:

y intercept is (0,5)

x intercept is (5,0)

Step-by-step explanation:

re arange the equation to y = -x + 5.

To find the y intercept, you plug in 0 for x and find out what the value of y is. To find the x intercept, you plug in 0 for y and find the value of x.

I think the question should be tan theta = 1/√3, but I have given the solutions of both.

Hope it helps.

If you have any query, feel free to ask.

The domain of f is the interval [-37, ∞).

For a function to have an inverse, it must be one-to-one, which means that it must pass the horizontal line test, i.e., each horizontal line should intersect the graph of the function at most once.

The derivative of the function is:

\(f'(x) = 6 + (1/2√(x+37))\)

f'(x) is always positive because 6 is positive and the square root is positive, so f(x) is an increasing function. This means that f(x) is one-to-one and therefore has an inverse.

To determine the largest interval on which f has an inverse, we need to find the domain of f. The square root can only take non-negative values, so we must have x+37 ≥ 0, which means x ≥ -37.

Therefore, the domain of f is the interval [-37, ∞).

Since f is increasing over this interval, its inverse will also be increasing, and the largest interval on which f has an inverse is [-37, ∞).

The proper question is "Let f(x)=6x+√(x+37)Choose the form of the largest interval on which f has an inverse and enter the value(s) of the endpoint(s) in the appropriate blanks. Then find (f−1)′(0)

Endpoints(a ,b)"

To know more about functions here

https://brainly.com/question/12431044

#SPJ4

Answer:

the correct answer is c) trapezoid

Step-by-step explanation:

got it right on edge quiz

Answer:

C

Step-by-step explanation:

Answer:

-11

Step-by-step explanation:

8-2x=30

2x=30-8

2x=22

x=22/-2

x=-11

Answer:

-11

Step-by-step explanation:

8-2x=30

-2x=22

-x=11

x=-11

The teacher should use a sample size of 13 in order to achieve a standard deviation of the sampling distribution of that is half as big as when using a sample size of 50.

To determine the sample size the teacher should use in order to have a standard deviation of the sampling distribution of (sample mean) that is half as big as when using a sample size of 50.

Since the teacher initially planned to take an SRS (Simple Random Sample) of size 50, we can plug this value into the formula and solve for the new sample size:

Now, we can cross-multiply and solve for the new sample size:

2√(Sample size) = √50

Squaring both sides to eliminate the square root:

4 * Sample size = 50

Dividing both sides by 4:

Sample size = 12.5

Since the sample size must be a whole number, we round up to the nearest integer:

Sample size ≈ 13

Therefore, the teacher should use a sample size of 13 in order to achieve a standard deviation of the sampling distribution of that is half as big as when using a sample size of 50.

Learn more about standard deviation here

https://brainly.com/question/475676

#SPJ11

The minimum value of the objective function subject to the given constraints is 48 and it occurs at (6,0).

The given problem is:

min 8x₁ + 6x₂ subject to4x₁ + 2x₂ ≥ 20−6x₁ + 4x₂ ≤ 12x₁ + x₂ ≥ 6x₁ + x₂ ≥ 0

The feasible region is as follows:

Firstly, plot the following lines:4x₁ + 2x₂ = 20-6x₁ + 4x₂ = 12x₁ + x₂ = 6x₁ + x₂ = 0On plotting, the following graph is obtained:

Now, let's check each option one by one:

a. 4x₁ + 2x₂ ≥ 20

The feasible region is the region above the line 4x₁ + 2x₂ = 20.

b. −6x₁ + 4x₂ ≤ 12

The feasible region is the region below the line −6x₁ + 4x₂ = 12.c. x₁ + x₂ ≥ 6

The feasible region is the region above the line x₁ + x₂ = 6.d. x₁ + x₂ ≥ 0

The feasible region is the region above the x-axis.

Now, check the point of intersection of the lines.

They are:(10,0),(2,4),(6,0)The point (2,4) is not in the feasible region as it lies outside it.

Therefore, we reject this point.

The other two points, (10,0) and (6,0) are in the feasible region.

Now, check the values of the objective function at these two points.

Objective function value at (10,0): 80

Objective function value at (6,0): 48

Therefore, the minimum value of the objective function subject to the given constraints is 48 and it occurs at (6,0).

Know more about the function   here:

https://brainly.com/question/11624077

#SPJ11

Therefore, the expected value(using probability) of the scratch ticket that Dida bought is $1.15. This means that, on average, if Dida were to buy many such scratch tickets, she could expect to win an average of $1.15 per ticket over the long run.

It is built on the prospect of a coming event. One of the most important aspects of probability theory is the justification for probability. For instance, there is a theoretical one in two chance that a coin would land on its head.

The expected value of the scratch ticket is the sum of the products of each possible value and its corresponding probability.

Expected value = (0.00 * 0.15) + (0.50 * 0.50) + (1.00 * 0.20) + (2.00 * 0.10) + (10.00 * 0.05)

Expected value = 0.00 + 0.25 + 0.20 + 0.20 + 0.50

Expected value = 1.15

Therefore, the expected value of the scratch ticket that Dida bought is $1.15. This means that, on average, if Dida were to buy many such scratch tickets, she could expect to win an average of $1.15 per ticket over the long run.

To know more about probability visit:

brainly.com/question/30034780

#SPJ1

Step-by-step explanation:

al nth term:

numerator:

\( = {n}^{2} \)

denominator:

\( = n + 1\)

so nth term :

\( = \frac{ {n}^{2} }{n + 1} \)

b). 1; 11; 27; 49

first difference: 10; 16; 22

second difference :6

formula for 1st difference:3a+b

formula for 2nd difference:2a

Therefore:

2a=6

a=3

3a+b=10

sub in a

3(3)+b=10

9+b=10

b=1

sub into quadratic formula

\( {an}^{2} + bn + c\)

\((3) {(1)}^{2} + (1)(1) + c = 1\)

\(3(1) + 1 + c = 1\)

\(3 + 1 + c = 1\)

\(4 + c = 1\)

\(c = - 3\)

So Tn:

\(3 {n }^{2} + 1n - 3\)

Step-by-step explanation:

a)

it is clearly a sequence of the square numbers over the numbers+1.

1/2 = 1²/(1+1)

4/3 = 2²/(2+1)

9/4 = 3²/(3+1)

16/5 = 4²/(4+1)

so, the nth term would be

n²/(n+1)

b)

an² + bn + c creates the sequence with increasing n (n = 1, 2, 3, 4, ...)

since for sequence the first starting value is often not generated by the general expression, we have to focus on n = 2, n = 3 and n = 4, and with that we get 3 equations with 3 variables (a, b, c) that we can solve :

n = 2

a×2² + b×2 + c = 11 = 4a + 2b + c

n = 3

a×3² + b×3 + c = 27 = 9a + 3b + c

n = 4

a×4² + b×4 + c = 49 = 16a + 4b + c

the first equation gives us

c = 11 - 4a - 2b

when we use this in the second equation, we get

27 = 9a + 3b + 11 - 4a - 2b = 5a + b + 11

b = 16 - 5a

now we use both of that in the third equation :

49 = 16a +4(16 - 5a) + 11 - 4a - 2(16 - 5a) =

= 16a + 64 - 20a + 11 - 4a - 32 + 10a =

= 2a + 43

2a = 6

a = 3

b = 16 - 5a = 16 - 5×3 = 16 - 15 = 1

c = 11 - 4a - 2b = 11 - 4×3 - 2×1 = 11 - 12 - 2 = -3

The point estimate of the population proportion defective will be 0.0945

The formula for calculating the point estimate is expressed as;

p = x/n,

where p is the proportion of successes in the sample

n is the total sample

Given the following

n = 550 items

x = 52

Substitute

p = 52/550

p = 0.0945

Hence the point estimate of the population proportion defective will be 0.0945

Learn more on point estimate here: https://brainly.com/question/23986522

#SPJ4

Answer:

20 percent of what

Step-by-step explanation:

If the fuselage of the Boeing 777 were made of steel instead of aluminum, the number of passengers it could carry would decrease.

Given that the fuselage of the Boeing 777 is a hollow aluminum cylinder, we can calculate its volume using the dimensions provided: length = 64.0 m, width = 6.2 m, and thickness = 2.5 mm. Using the formula for the volume of a cylinder, V = πr^2h, where r is the radius and h is the height, we can determine the volume of the aluminum fuselage. Since the cylinder has no ends, the height is the same as the length of the fuselage. The radius can be calculated by dividing the width by 2. By substituting these values into the formula, we can find the volume of the aluminum fuselage. Once we have the volume, we can multiply it by the density of aluminum to find the mass of the aluminum fuselage. Dividing the mass by the average passenger mass of 79 kg will give us the approximate number of passengers the Boeing 777 could carry if its fuselage were made of steel. However, we need the specific maximum total mass or engine's lifting capacity to provide an exact answer.

To learn more about number click here

brainly.com/question/3589540

#SPJ11

Answer:

2+7=9

3+6=9

4+5=9

5+4=9

6+3=9

7+2=9

8+1=9

Answer:

Step-by-step explanation:

gradient = 5 = [k-(-1)]/[6-2]

[k+1]/4 = 5

k+1=20

k=19

The value of k in the line that passes through the points A(2, -1) and (6, k) with a gradient of 5 is found to be 19 by using the formula for gradient and solving the resulting equation for k.

To find the value of k in the line that passes through the points A(2, -1) and (6, k) with a gradient of 5, we'll use the formula for gradient, which is (y2 - y1) / (x2 - x1).

The given points can be substituted into the formula as follows: The gradient (m) is 5. The point A(2, -1) will be x1 and y1, and point B(6, k) will be x2 and y2. Now, we set up the formula as follows: 5 = (k - (-1)) / (6 - 2).

By simplifying, the equation becomes 5 = (k + 1) / 4. To find the value of k, we just need to solve this equation for k, which is done by multiplying both sides of the equation by 4 (to get rid of the denominator on the right side) and then subtracting 1 from both sides to isolate k. So, the equation becomes: k = 5 * 4 - 1. After carrying out the multiplication and subtraction, we find that k = 20 - 1 = 19.

https://brainly.com/question/30249498

#SPJ2

Answer:

Lets start with the top row.

First, add the two values.

5+14=19

Now, divide each value by the total.

5/19=0.26315789473

Round the decimal to the nearest hundredth.

5/19=0.26

14/19=0.73684210526

Round it to the nearest hundredth.

14/19=0.74

Now, The second row.

Add the two values.

16+7=23

Divide the first value by the total.

16/23=0.69565217391

Round it to the nearest hundredth.

16/23=0.70

Divide the second value by the total.

7/23=0.30434782608

Round to the nearest hundredth.

7/23=0.30

Done!

Answer:

Row 1: 0.26 0.74

Row 2: 0.70 0.30

Step-by-step explanation:

Khan

Answer:

342.938 cm²

Step-by-step explanation:

Area of shaded region = area of rectangle - area of circle

= (length*width) - (π*radius²)

= (32*17) - (π8²)

= 544 - 201.06192983

= 342.93807017 ≈ 342.938 cm²

Using the Pythagorean's theorem we can see that the values are.

x =  18.67

y = 21.16

z = 37.05

We can view some right triangles, remember Pythagorean's theorem, it says that the sum of the squares of the legs is equal to the square of the hypotenuse.

Then we can find the value of y as:

y² + 24² = 32²

y = √(32² -  24²)

y = √448 = 21.16

Now look at the triangle in the left, we can write a system of equations:

x² + 32² = z²

y² + z² = (x + 24)²

Replacing the value of y, the system becomes:

x² + 32² = z²

448 + z² = (x + 24)²

We can replace z² in the second equation by the thing we have in the first one:

448 +  x² + 32² = (x + 24)²

1,472 +   x² =   x²  + 48x + 576

Solving that for x we will get:;

1,472 - 576 = 48x

896/48 = x = 18.67

Now we can find the value of z.

z = √( 18.67² + 32²)

z = 37.05

Learn more about right triangles at:

https://brainly.com/question/2217700

#SPJ1

The scale factor of the drawing is 2000.

In order to determine the scale factor of the drawing, we need to compare the length of the living room in real life to its length in the drawing. The living room is 4 meters long in real life and 2 millimeters long in the drawing.

To find the scale factor, we divide the length in real life by the length in the drawing.

Scale factor = Length in real life / Length in the drawing

Scale factor = 4 meters / 0.002 meters

Scale factor = 2000

Therefore, the scale factor of the drawing is 2000. This means that every unit in the drawing represents 2000 units in real life.

Learn more about scale factor

brainly.com/question/29464385

#SPJ11

Answer:

me please

Step-by-step explanation:

Answer:

idc if i get it

Step-by-step explanation:

The lower bound of the 95% confidence interval is given as follows:

7.981 mm.

The level of confidence of the statement is of 95%.

The t-distribution is used when the standard deviation for the population is not known, and the bounds of the confidence interval are given according to the equation presented as follows:

\(\overline{x} \pm t\frac{s}{\sqrt{n}}\)

The variables of the equation are listed as follows:

The critical value, using a t-distribution calculator, for a two-tailed 95% confidence interval, with 100 - 1 = 99 df, is t = 1.9842.

The parameters for this problem are given as follows:

\(\overline{x} = 8.1, s = 0.6, n = 100\)

Hence the lower bound of the interval is given as follows:

8.1 - 1.9842 x 0.6/10 = 7.981 mm.

More can be learned about the t-distribution at https://brainly.com/question/17469144

#SPJ4

Answer:

B) 4

Step-by-step explanation:

It would be 4 because when you cross multiply 16*x and 1*64, you get 4/1.

Answer:

4

Step-by-step explanation:

I got it right

A permutation is an arrangement of outcomes in which the order does matter.

A combination is an arrangement of outcomes in which the order does not matter.

In this case, for example, the password HI is different from the password IH. In both cases, the outcomes (letters H and I) are the same, but the order of them changes the arrangement (the password). Therefore, the problem involves a permutation because the order of letters selected does matter

The cartesian equation of the curve \(r=2 \hspace{0.1cm} csc \hspace{0.1cm} \theta\) is \(y=2\).

A Cartesian equation is essential in mathematics. It corresponds to a mathematical formula that expresses the connection between elements as a function of their positions on a plane known as Cartesian.

A two-dimensional coordinate scheme called the Cartesian plane employs a horizontal x-axis and an upward y-axis to identify locations in space.

Given that, \(r=2 \hspace{0.1cm} csc \hspace{0.1cm} \theta\).

So, \(csc\hspace{0.1cm}\theta=cosec \hspace{0.1cm}\theta\).

The equation becomes as follows:

\(r=2cosec\hspace{0.1cm} \theta\)

By using the trigonometric equation \(cosec\hspace{0.1cm} \theta=\frac{1}{sin\hspace{0.1cm}\theta}\), we get

\(r= \frac{2}{sin \hspace{0.1cm} \theta}\)

Multiplying both sides by \(sin\hspace{0.1cm}\theta\), we get

\(r \hspace{0.1cm}sin\hspace{0.1cm}\theta =2\hspace{0.1cm}\frac{sin\hspace{0.1cm}\theta}{sin\hspace{0.1cm}\theta}\)

\(rsin\hspace{0.1cm}\theta=2\)

By the parametric equations \(x=rcos\hspace{0.1cm}\theta\) and \(y=rsin\hspace{0.1cm}\theta\), we get

\(y=2\)

It is a horizantal line.

Hence, the cartesian equation of the curve \(r=2 \hspace{0.1cm} csc \hspace{0.1cm} \theta\) is \(y=2\).

Read more about cartesian equation:

https://brainly.com/question/30857232

The cartesian equation for the curve is: y = 2 This is a horizontal line passing through the point (0,2).

To find a Cartesian equation for the curve given by the polar equation r = 2 csc(θ), we will convert the polar coordinates (r, θ) into Cartesian coordinates (x, y) using the following relationships:

x = r * cos(θ)
y = r * sin(θ)

Step 1: Express r in terms of θ
r = 2 csc(θ)

Step 2: Since csc(θ) = 1 / sin(θ), rewrite the equation as
r = 2 / sin(θ)

Step 3: Express x and y in terms of r and θ
x = r * cos(θ)
y = r * sin(θ)

Step 4: Substitute r from Step 2 into the y equation
y = (2 / sin(θ)) * sin(θ)

Step 5: Simplify the equation
y = 2

The Cartesian equation for the given polar equation is y = 2, which represents a horizontal line passing through the point (0, 2).

Learn more about cartesian equation:

brainly.com/question/11676110

#SPJ11

Answer:

it is more easier to use a histogram and accurate

Answer:

Line graph

Step-by-step explanation:

A line graph is specifically used to display data that changes over time, a line plot uses several points connected by straight lines on an x and y axis.

I wouldn't choose a histogram because a histogram is used to summarize continuous data.

As well as I wouldn't use a circle graph becasue it is often used to show the percentage of of population who gave a certain answer.

Answer:

\(a=5.1\)

Step-by-step explanation:

\(2.4x-1.2x-3.9y+ay=1.2x+y(a-3.9) \\ \\ \implies 1.2=a-3.9 \implies a=5.1\)

Answer:

I believe 57

Step-by-step explanation:

7 trees per 3 hours

6 hours = 14 trees

plus the 2 hours which I'm assuming 5 to 4 trees

so you multiply 19 trees per day

19 x 3 = 57 if I'm wrong please correct me :)

Answer:

\( \sf \large( \frac{2}{5} ) {}^{14} \)

Step-by-step explanation:

=((2/5)^4(2/5)^3)^2

=((2/5^4+3))^2

=((2/5^7))^2)

=(2/5)^14