Using this sample result and a theory-based approach (and a Theory Based Inference applet), which of the following represents a three confidence intervals (90%, 95%, 99%) for the probability that a randomly selected American adult had played a Sudoku puzzle in the past year?

a. 90%: (0.0962, 0.1358); 95%: (0.0919, 0.1397); 99%: (0.0899, 0.1411)
b. 90%: (0.0993, 0.1327); 95%: (0.0962, 0.1358); 99%: (0.0899, 0.1421)
c. 90%: (0.0893, 0.1350); 95%: (0.0851, 0.1358); 99%: (0.0799, 0.1390)
d. 90%: (0.981, 0.1337); 95%: (0.0953, 0.1362); 99%: (0.0878, 0.1402)

The graph of the system of inequalities:

y  ≤ (1/4)*x - 2

y  ≥ −(5/4)x +2

Is in the image at the end.

Here we have the system of inequalities:

y  ≤ (1/4)*x - 2

y  ≥ −(5/4)x +2

To graph this, we just need to graph both of the linear equations, and we need to shade the region below the first line (the one with positive slope) and the region above the second line, the one with negative slope.

Then the graph of the system of inequalities is the graph you can see in the image at the end of the answer.

Learn more about system of inequalities at.

https://brainly.com/question/9774970

#SPJ1

The asset’s fourth full year of depreciation expense will be $6,666.67.

An enhanced technique for recording loss over the lifetime of a product by adjusting the item's starting sales price by a discount factor.

An asset has a cost of $50,000, with a residual value of $10,000.

It has a life of 5 years and was purchased on January 1.

Then the asset’s fourth full year of depreciation expense will be

Annual depreciation = (cost – salvage value)/ useful life

Annual depreciation = (50000 – 10000) / 5 = $8,000

Year 1 Depreciation (for 10 months, from March to December) = $8,000 × 10/12 = $6,666.67.

More about the double-declining-balance link is given below.

https://brainly.com/question/24296752

#SPJ1

As per the concept of probability, the probability of getting head is 99.5%.

The term probability in statistics is known as the possible way of getting the particular event.

Here we have given that

And we need to find the probability of getting  head.

Here we know that the number of coins is 10.

So, the sample space for the 10 coins is calculated as,

Here we already know that for each of the 10 coin tosses, we have either a head (H) or a tail (T).

so, the total number of probability of 10 coins is 210 strings in the sample space.

Here we know that the only option of all tails doesn't have head in it.

So, the number tosses that have head in it is calculated as,

=> 210 - 1

=> 209

Therefore, the probability is calculated as,

=> P = 209/210

=> P = 0.995

Therefore, the probability in percentage is 99.5%

To know more about Probability here.

https://brainly.com/question/11234923

#SPJ4

0.48

Step-by-step explanation:

to increase an amount by 48%

you divide 48 with 100 to find the multiplier

which is 0.48

multiply 0.48 to an number to find 48%

Answer:

Let's cut the figure into:

Parallelogram, square, and rectangle.

Let's find the area of the parallelogram first:

10 x 3.5 = 35

Let's find the area of the square:

4 x 4 = 16

When given one length of a square you already know are sides and lengths are equal so therefore 1 given length of a square is all the lengths.

Let's find the area of a rectangle:

6 x 12.5 = 75

Now let's add all the areas up:

35 + 16 + 75 = 126 square inches is your answer.

The z-statistic test was conducted to determine the Deviation of RPM, ASM, and LF from the mean. The test indicates that RPM, ASM, and LF significantly deviate from the mean.

Report on the Analysis of American Airlines (Domestic) PerformanceThe quantitative analysis focused on three variables- load factors, revenue passenger miles, and available seat miles for American Airlines.

The Bureau of Transportation Statistics data for domestic flights from January 2006 to December 2012 was retrieved for the analysis. The quantitative analysis also focused on finding critical statistical values like mean, median, mode, standard deviation, variance, and minimum/maximum variables. The results of the data are summarized in Table 2. Revenue Passenger Miles (RPM) mean is 6,624,897, the median is 6,522,230, and mode is NONE. The minimum is 5,208,159 and the maximum is 8,277,155. The standard deviation is 720,158.571, and the variance is 518,628,367,282.42.

Load Factors (LF) mean is 82.934, the median is 83.355, and mode is 84.56. The minimum is 74.91, and the maximum is 89.94. The standard deviation is 3.972, and the variance is 15.762. The Available Seat Miles (ASM) mean is 7,984,735, the median is 7,753,372, and mode is NONE. The minimum is 6,734,620, and the maximum is 9,424,489. The standard deviation is 744,469.8849, and the variance is 554,235,409,510.06.Figure 1 above displays the performance of American Airlines (Domestic).

The mean RPM is 7,984,735, and the linear regression line is y = 50584x - 2.53E+8. The linear regression line indicates a positive relationship between RPM and year, with a coefficient of determination, R² = 0.6806. A coefficient of determination indicates the proportion of the variance in the dependent variable that is predictable from the independent variable. Therefore, 68.06% of the variance in RPM is predictable from the year. A one-way ANOVA analysis of variance test was conducted to determine the equality of means of three groups of variables; RPM, ASM, and LF. The null hypothesis is that the means of RPM, ASM, and LF are equal.

The alternative hypothesis is that the means of RPM, ASM, and LF are not equal. The level of significance is 0.05. The ANOVA results indicate that there is a significant difference in means of RPM, ASM, and LF (F = 17335.276, p < 0.05). Furthermore, a post-hoc Tukey's test was conducted to determine which variable means differ significantly. The test indicates that RPM, ASM, and LF means differ significantly.

The skewness test was conducted to determine the symmetry of the distribution of RPM, ASM, and LF. The test indicates that the distribution of RPM, ASM, and LF is not symmetrical (Skewness > 0).

Additionally, the z-statistic test was conducted to determine the deviation of RPM, ASM, and LF from the mean. The test indicates that RPM, ASM, and LF significantly deviate from the mean.

For more questions on Deviation .

https://brainly.com/question/24298037

#SPJ8

Answer:

d=-6.5

Step-by-step explanation:

2d+13=0

2d=-13

d= -13/2

d=-6.5

Answer:

\(f(3) = \frac{-26}{9}\)

\(f(2 + h) = \frac{- 11 - 12h - 12^2}{4 + 4h + h^2}\)

Step-by-step explanation:

Given

\(f(x) = \frac{1}{x^2} - 3\)

Required

Find f(3) and f(2 + h)

Solving f(3)

Substitute 3 for x in \(f(x) = \frac{1}{x^2} - 3\)

\(f(3) = \frac{1}{3^2} - 3\)

\(f(3) = \frac{1}{9} - 3\)

Take LCM

\(f(3) = \frac{1 - 27}{9}\)

\(f(3) = \frac{-26}{9}\)

Solving f(2 + h)

Substitute 2 + h for x in \(f(x) = \frac{1}{x^2} - 3\)

\(f(2 + h) = \frac{1}{(2 + h)^2} - 3\)

\(f(2 + h) = \frac{1}{(2 + h)(2 + h)} - 3\)

\(f(2 + h) = \frac{1}{4 + 2h + 2h + h^2} - 3\)

\(f(2 + h) = \frac{1}{4 + 4h + h^2} - 3\)

Take LCM

\(f(2 + h) = \frac{1- 3(4 + 4h + h^2)}{4 + 4h + h^2}\)

\(f(2 + h) = \frac{1- 12 - 12h - 12^2}{4 + 4h + h^2}\)

\(f(2 + h) = \frac{- 11 - 12h - 12^2}{4 + 4h + h^2}\)

Given that the coordinates of the three vertices of a square are (4, 14), (10, 14), and (4,8).

The missing coordinate will be at (10,8) on the coordinate plane for the given square.

A vertex is a location in geometry where two or more line segments converge. Vertices are the corners of two-dimensional forms such as squares and triangles. Vertices are the places where three or more faces of a three-dimensional shape, such as a cube or a pyramid, meet.

Four of a square's vertices have the coordinates (4,14), (10,14), and (4,8).

The length of one of the square's sides may be determined using the distance formula, and the length can then be used to determine the coordinates of the missing vertex.

We know that one side of the square has a length of 6 units since the distance between (4,14) and (10,14) is 6 units.

We know that the missing vertex must be 6 units away from (4,8) in the y-direction since the square is symmetric.

The missing vertex therefore has the coordinates (10,8).

To know more about vertex visit:

brainly.com/question/30940247

#SPJ1

The missing coordinate will be at (10,8) on the coordinate plane for the given square.

A vertex is a location in geometry where two or more line segments converge. Vertices are the corners of two-dimensional forms such as squares and triangles. Vertices are the places where three or more faces of a three-dimensional shape, such as a cube or a pyramid, meet.

Four of a square's vertices have the coordinates (4,14), (10,14), and (4,8).

The length of one of the square's sides may be determined using the distance formula, and the length can then be used to determine the coordinates of the missing vertex.

We know that one side of the square has a length of 6 units since the distance between (4,14) and (10,14) is 6 units.

We know that the missing vertex must be 6 units away from (4,8) in the y-direction since the square is symmetric.

The missing vertex therefore has the coordinates (10,8).

To know more about vertex visit:

brainly.com/question/30940247

#SPJ1

The dot product of vectors a and b is option D. 30.

To find the dot product of two vectors, you need to multiply their corresponding components and then sum the results.

Let's calculate the dot product of vectors a = <5, 2> and b = <4, 5>:

a • b = (5 x 4) + (2 x 5)

= 20 + 10

= 30

Therefore, the dot product of vectors a and b is 30.

learn more about product of vectors: https://brainly.com/question/30394406

#SPJ1

The length of the third side of the triangle, to the nearest hundredth, is approximately 54.75 units.

1. We have a triangle with two known side lengths: 43 and 67 units.

2. The angle included between these sides measures 27 degrees.

3. To find the length of the third side, we can use the Law of Cosines, which states that \(c^2 = a^2 + b^2\) - 2ab * cos(C), where c is the third side and C is the included angle.

4. Plugging in the known values, we get \(c^2 = 43^2 + 67^2\) - 2 * 43 * 67 * cos(27).

5. Evaluating the expression on the right side, we get \(c^2\) ≈ 1849 + 4489 - 2 * 43 * 67 * 0.891007.

6. Simplifying further, we have \(c^2\) ≈ 6338 - 5156.898.

7. Calculating \(c^2\), we find \(c^2\) ≈ 1181.102.

8. Finally, taking the square root of \(c^2\), we get c ≈ √1181.102 ≈ 34.32.

9. Rounding to the nearest hundredth, the length of the third side is approximately 34.32 units.

For more such questions on length, click on:

https://brainly.com/question/28322552

#SPJ8

The approximate number of guests that were children are 172 and adults are 278

From the complete question, we have the following system of equations

25x + 12y = 9014

x + y = 450

Make y the subject in x + y = 450

y = 450 -x

Substitute y = 450 - x in 25x + 12y = 9014

25x + 12(450 - x) = 9014

Expand the expression

25x + 5400 - 12x = 9014

Evaluate the like terms

13x = 3614

Divide both sides by 12

x = 278

Substitute x = 278 in y = 450 -x

y = 450 - 278

Evaluate

y = 172

Hence, the approximate number of guests that were children are 172 and adults are 278

Read more about system of equations at:

https://brainly.com/question/14323743

#SPJ1

Answer:

Plot the following points on the graph

\((-1, \frac{1}{2})\), (0, 1), (1, 2), (2, 4), (3, 8)

Step-by-step explanation:

If the equation for the line is y = \(2^{x}\), whatever the power/exponent  "x" equals, then y is equal to however many times 2 is multiplied by x.

For example, if our domain is {-1, 0, 1 , 2, 3}

then we would plug in each x value into the exponent to find the y-value in order to plot the points to solve the problem.

If x = -1, then y = 1/2. **If there is an a negative exponent it would get turned into a positive fraction with the denominator as the positive version of that number.

\(y = 2^{-1} = \frac{1}{2^{1} } = \frac{1}{2}\)

If x = 0, then y = 1

**When the exponent is 0, the number automatically equals 1.

If x = 1, then y = 2.

If x = 2, then y = 4

If x = 3, then y = 8

So you would plot the following coordinates on the graph:

\((-1, \frac{1}{2})\)

(0, 1)

(1, 2)

(2, 4)

(3, 8)

A bias error is the difference between the expected value and the true value of the data.

The bias error of the given data is 0.1

Bias Error= Expected Value- True Value

Bias Error= 5.4-5.3

Bias Error= 0.1

The bias error is also known as systematic error.

The bias error can also be understood by the following.

https://brainly.com/question/24533124

https://brainly.com/question/4095022

Answer:  perimeter is 14 units

Explanation:

You could use the distance formula to find the lengths of segments AB, BC, CD, and DA; or you could graph rectangle ABCD and note that you can count out the spaces to find the lengths of each side. Option 2 is easier in my opinion. Check out the diagram below. The horizontal portion is 2 units and the vertical part is 5

perimeter = 2*(length+width)

perimeter = 2*(5+2)

perimeter = 2*7

perimeter = 14

Jane received $30025 and Lydia received $60000. Let's assume the amount of money that Jane received as x; then Lydia's share of the money will be twice the share of Jane.

We are to find out the share of each person. Here is the solution in steps:Suppose Jane's share was x dollars, and Lydia's share was y dollars.

Given that the total amount given to the two daughters was $90000. Also, given that Lydia paid off her $75, hence she got $75 less than Jane.

Therefore,  y = 2x - 75; this is because we are given that Lydia got twice the share of Jane, and also, she got $75 less than Jane. Hence, x + y = $90000, this is because the total sum of money shared is $90000.

Substituting y = 2x - 75 into x + y = $90000 gives x + (2x - 75) = $90000.

Simplifying, we have :3x = $90000 + 75 = $90075.

Dividing both sides by 3, we get:x = $30025. Hence, Jane's share is $30025 Lydia's share = 2x - 75 = 2($30025) - $75 = $60075 - $75 = $60000.

Therefore, Jane received $30025 and Lydia received $60000.

For more question on amount

https://brainly.com/question/25720319

#SPJ8

Answer:

1.16

Step-by-step explanation:

Given that;

For some positive value of Z, the probability that a standardized normal variable is between 0 and Z is 0.3770.

This implies that:

P(0<Z<z) = 0.3770

P(Z < z)-P(Z < 0) = 0.3770

P(Z < z) = 0.3770 + P(Z < 0)

From the standard normal tables , P(Z < 0)  =0.5

P(Z < z) = 0.3770 + 0.5

P(Z < z) =  0.877

SO to determine the value of z for which it is equal to 0.877, we look at the

table of standard normal distribution and locate the probability value of 0.8770. we advance to the  left until the first column is reached, we see that the value was 1.1.  similarly, we did the same in the  upward direction until the top row is reached, the value was 0.06.  The intersection of the row and column values gives the area to the two tail of z.   (i.e 1.1 + 0.06 =1.16)

therefore, P(Z ≤ 1.16 ) = 0.877

Answer:42.55

Step-by-step explanation:

Les get the big boi out of the way first. We see that it is 3.5 by 9 and if we multiply we get 31.5. Next left triangle 2 by 2 so four but divided by 2 is 2. God so many  2's. So total is 33.5 so far. Next triangle is 2 by 5 soo  10 divided by 2 is 5. total is 38.5. Last dude in the middle. We know one side is two so we have to subtract here from the triangles which gets u the other side of 2 so 4. Total is 42.5

The Area of the Shape Shown is 42.5 square units.

The area of Rectangle is length times of width.

The area of the rectangle in the given figure is

Area of rectangle=3.5×9

=31.5 square units.

The area of left side triangle is

Area of triangle=1/2×2×2

=2 square units

The area of right side triangle 1/2×5×2

=5 square units

Now the area of square =2²

=4 square units.

Now total area of figure is 31.5+2+5+4 is 42.5 square units.

Hence, the Area of the shape Shown is 42.5 square units.

To learn more on Area of Rectangle click:

https://brainly.com/question/20693059

#SPJ2

Answer: 5/7 of the kids chose New York or L.A.

Step-by-step explanation:

All you need to do in this problem is add the fraction of people that chose New York and the fraction of people that chose L.A:

4/7 + 1/7 = 5/7

The value of the dairy product sold by the united states in the year 1997 is $18.81 billion.

The percentage is evaluated as the ratio of matter composition to total matter composition multiplied by 100.

Here,
In 1997, the United States sold $99 billion in livestock and poultry products, according to the Department of Agriculture. Dairy products accounted for 19% of this total.

So,
The value of the dairy product is given as,
Value of the dairy product = 19% × 88
                                         = 0.19 × 88
                                         = $18.81

Thus, the value of the dairy product is $18.81 billion.

Learn more about percentages here:

brainly.com/question/13450942

#SPJ1

The pros and cons regarding the methods of the polynomial include:

Graphing the related system eliminates the need to rewrite the equation in order to set it equal to 0. It is simpler because you can graph each side of the equation separately.

It can be difficult to locate the system's intersection point at times. You may need to zoom in or learn how to resize the window. Using the related function allows you to find the points by focusing on the x-axis.

A polynomial is an expression made up of variables, constants, and exponents that are combined using mathematical operations such as addition, subtraction, multiplication, and division.

The formula is ax² + bx + c = 0, where a and b are coefficients, c is a constant, and the polynomial degree is 2. A trinomial equation is a polynomial with three variable terms. It is also known as a cubic equation. To be a polynomial term, an expression must contain no square roots of variables, no fractional or negative powers on variables, and no variables in the denominators of any fractions.

Learn more about polynomial on:

https://brainly.com/question/2833285

#SPJ1

Answer:

5(km)/1(hr)

Step-by-step explanation:

You multiply the 30 minutes to make one hour, and with that, you also multiply the 2.5 kilometers to get 5. You multiply the 2.5 because we multiply both sides of an equation.

Uniform line movement.

We have that the data is:

Time (t) = 30 m = 0.5 h

Distance (d)= 2.5 km

Speed (v) = ?

Since it asks us for the speed in Km/h, we make a time conversion, from minutes to hours. Knowing that 1 hr = 60 minutes, then

\(\boxed{\large\displaystyle\text{$\begin{gathered}\sf \bf{30 \not{m}*\left(\frac{1 \ h}{60 \not{m})\right)=0.5 \ h } } \end{gathered}$}}\)

To calculate the speed, divide the distance by the time. We apply the following formula:

\(\boxed{\large\displaystyle\text{$\begin{gathered}\sf \bf{Speed=\frac{Distance}{Time} } \end{gathered}$}}\)

We substitute our data in the formula and solve:

\(\boxed{\large\displaystyle\text{$\begin{gathered}\sf \bf{V=\frac{d}{t} } \end{gathered}$}}\)

\(\boxed{\large\displaystyle\text{$\begin{gathered}\sf \bf{V=\frac{2.5 \ km}{0.5 \ h} } \end{gathered}$}}\)

\(\boxed{\boxed{\large\displaystyle\text{$\begin{gathered}\sf \bf{V=5 \ km/h} \end{gathered}$} }}\)

Answer: The answer is D. the last option

Step-by-step explanation:

The correct answer is option d) The graph is the radical function, y = √x shifted right 1 unit and up 4 units.

The original function is y = √(x - 1) + 4, which represents a radical function.

This function involves taking the square root of the quantity (x - 1) and then adding 4 to the result.

By shifting the function right 1 unit, we are replacing x with (x - 1). This means that the graph will be shifted horizontally by 1 unit to the right compared to the standard square root function.

By shifting the function up 4 units, we are adding 4 to the output of the square root function.

This means that the graph will be shifted vertically by 4 units compared to the standard square root function.

Therefore, the graph of the function y = √(x - 1) + 4 is the radical function y = √x shifted right 1 unit and up 4 units.

Learn more about radical function click;

https://brainly.com/question/29544269

#SPJ6

Answer:

Step-by-step explanation:

4/4

8/6

4/6

Answer:

Kindly check explanation

Step-by-step explanation:

Given that:

Dividend paid (D) = $2

Growth rate (g) = 4% per annum = 0.04

Expected Dividend in each of the next 3 years :

1st year : $2 * 1.04 = $2.08

2nd year : $2.08 * 1.04 = $2.16

3rd year: $2.16 * 1.04 = 2.2464 = $2.25

B) If the discount rate for the stock is 12 percent, at what price will the stock sell?

Discount rate (r) = 12% = 0.12

Price of stock = Dividend / (r - g)

Price of stock = 2 / (0.12 - 0.04)

Price = 2 / 0.08 = $25

c. What is the expected stock price 3 years from now?

(2.25 * 1.04) / 0.08

2.34 / 0.08 = $29.25

D) If you buy the stock and plan to hold it for 3 years, what payments will you receive? What is the present value of those payments?

Dividend to be received from year 1 to 3

2.08, 2.16, 2.25

Stock price in 3rd year = 29.25

Present value :

(29.25/1.12^3) + (2.25/1.12^3) + (2.16/1.12^2) + (2.08 / 1.12^1) = 26.00

For year 1 :

D = 2.08

Stock price = 2.16/0.08 = 27

Present value (PV) = (27/1.12) + (2.08/1.12) = 25.96

Year 2 :

D = 2.16

Stock price = 2.25/0.08 = 28.125

cashflow = (2.16 + 28.125) = 30.285

PV = (28.125/1.12^2) + (2.16/1.12^2) + (2.08/1.12^1) = 26.00

Year 3:

D = 2.25

STOCK PRICE = 29.25

Total Cashflow = (2.25 + 29.25) = 31.5

PV = (31.5/1.12^3) + (2.25/1.12^3) + (2.16/1.12^2) + (2.08/1.12^1) = $27.60

Since there is a fixed number of trials and the trials are independent, it is appropriate to use the binomial probability distribution to find the probability that a contestant who plays the game that day several times wins exactly 4 times.

The formula is:

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

The parameters are:

In this problem:

Thus, the binomial distribution is appropriate.

You can learn more about the binomial distribution at https://brainly.com/question/24863377

Answer:

8.5 units ^2

Step-by-step explanation:

Area of whole rectangle   3 x 6 = 18  units^2

  now subtract the three right triangles  

     1/2* 2x5    +     1/2 * 1x3     +     1/2 * 1x6    =  9.5 units^2  

18 - 9.5 = 8.5  units^2     < =====area of  inscribed triangle in the rectangle

Using the phase diagram for H₂O, the phase of water in 1 atm pressure

and 150°C is A. It is in the gas phase

A phase diagram is a visual representation of a substance's physical states at various temperatures and pressures.

At 100 degrees Celsius, water begins to boil. Water will so turn into vapor above the boiling point (1 atm pressure and 150 degrees Celsius). There won't be any liquid remaining.

Water will therefore be in the gas phase at 1 atm pressure and 150 degrees Celsius in temperature.

Tracing from the phase diagram the given pressure and temperature corresponds to the gas phase

Learn more about phase diagram at:

https://brainly.com/question/1612862

#SPJ1

Answer:

(iii) C = {0}.

iv) The set of all triangles having four sides is a NULL ser

Step-by-step explanation:

Complete question

Identify the following sets as null set or singleton set.

(i) A = {x : x ∈N, 1 < x < 2}

(ii) B = The set of all even natural numbers which are not divisible by 2

(iii) C = {0}.

(iv) D = The set of all triangles having four sides.

A null set is a set that contains no element while a singleton set is. a set that has only one element

The set C ={0} has just one element which is zero. This shows that the set is a singleton set

Also a triangle only has 3sides. No triangle can have 4sides. Hence the set of all triangles having four sides is a NULL SET

Answer:

6

Step-by-step explanation:

Median is the number in the middle, so 6 is the middle number in the data set.