step 2 of 2 : suppose a sample of 208 tankers is drawn. of these ships, 175 did not have spills. using the data, construct the 85% confidence interval for the population proportion of oil tankers that have spills each month. round your answers to three decimal places.

Given

one nanometers equals about 0.000004 inches select from the drop down lists

Answer

The number line shows the value of 5 - (-8) = 13.

Addition:

Subtraction:

Here the given operation is subtraction. Where a subtrahend is a negative number i.e., -8.

Step1: Start from '5' on the number line.

Step2: Since the subtrahend is a negative number, move to the right side on the number line from '5'.

Step3: Thus, the number obtained on the line is 13.

Step4: Algebraically the result is 5 - (-8) = 5 + 8 = 13.

The number line for this operation is shown below.

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To find the matrices D and P for the orthogonal diagonalization of matrix A, we need to follow these steps:

Step 1: Find the eigenvalues of matrix A.

Let's assume that the eigenvalues of A are λ₁, λ₂, ..., λ_n.

Step 2: Find the corresponding eigenvectors.

For each eigenvalue λ, solve the equation (A - λI)x = 0 to find the eigenvectors x₁, x₂, ..., x_n.

Step 3: Normalize the eigenvectors.

Normalize each eigenvector x_i to have unit length by dividing it by its magnitude.

Step 4: Form matrix P.

Matrix P is formed by taking the normalized eigenvectors as its columns, i.e., P = [x₁, x₂, ..., x_n].

Step 5: Form matrix D.

Matrix D is a diagonal matrix with the eigenvalues λ₁, λ₂, ..., λ_n as its diagonal entries, i.e., D = diag(λ₁, λ₂, ..., λ_n).

Let's assume the eigenvalues of matrix A are λ₁, λ₂, ..., λ_n. Then the augmented matrix [D | P] for the orthogonal diagonalization of A would look like:

[D | P] = [λ₁ 0 0 ... 0 | x₁ |]

[0 λ₂ 0 ... 0 | x₂ |]

[0 0 λ₃ ... 0 | x₃ |]

[... ]

[0 0 0 ... λ_n | x_n]

In this matrix, the columns x₁, x₂, ..., x_n represent the normalized eigenvectors corresponding to the eigenvalues λ₁, λ₂, ..., λ_n.

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According to the information, we can infer that the correct order for these number is -1.5, -0.75, -0.75, 1.25, 3.25.

To plot the numbers on a number line, we need to arrange them in increasing order. Here is the organized list of the numbers:

On the number line, we can mark -1.5 first and then move to the right to mark -0.75 twice (since it appears twice in the list), then 1.25, and finally 3.25 . On the number line, we can see that -1.5 is the smallest number and 3.25 is the largest number.

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The amount of money he will be able to withdraw after 10 years after his last deposit is $926,400.

= $96,000

A = P(1 + r/n)^nt

= $96,000( 1 + 0.24/2)^(2×10)

= 96,000 (1 + 0.12)^20

= 96,000(1.12)^20

= 96,000(9.65)

= $926,400

Therefore, the amount of money he will be able to withdraw after 10 years after his last deposit is $926,400

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Answer:

5 inches for 100 yards

Step-by-step explanation:

add 20 till u get 100 the add 1 for every time u add 20

Answer:

a) The radius of the wheel is 51 cm.

b) The area of the wheel is 8167.14 cm².

Step-by-step explanation:

SOLUTION :

Here we have given that the circumference of a wheel is 320.28 centimeters. We have to find the :

Finding the radius of circle by substituting all the given values in the formula :

\(\quad{\longrightarrow{\sf{C_{(Circle)} = 2 \pi r}}}\)

\(\quad{\longrightarrow{\sf{320.28=2 \pi r}}}\)

\(\quad{\longrightarrow{\sf{320.28=2 \times 3.14 \times r}}}\)

\(\quad{\longrightarrow{\sf{320.28=6.28 \times r}}}\)

\(\quad{\longrightarrow{\sf{r = \dfrac{320.28}{6.28}}}}\)

\(\quad{\longrightarrow{\sf{r = \cancel{\dfrac{320.28}{6.28}}}}}\)

\(\quad{\longrightarrow{\sf{\underline{\underline{\purple{r = 51 \: cm}}}}}}\)

Hence, the radius of circle is 51 cm.

\(\begin{gathered} \end{gathered}\)

Now, calculating the area of circle by substituting all the given values in the formula

\(\quad{\longrightarrow{\sf{A_{(Circle)} = \pi {r}^{2}}}}\)

\(\quad{\longrightarrow{\sf{A_{(Circle)} = 3.14 {(51)}^{2} }}}\)

\(\quad{\longrightarrow{\sf{A_{(Circle)} = 3.14 {(51 \times 51)}}}}\)

\(\quad{\longrightarrow{\sf{A_{(Circle)} = 3.14 {(2601)}}}}\)

\(\quad{\longrightarrow{\sf{A_{(Circle)} = 3.14 \times 2601}}}\)

\(\quad{\longrightarrow{\sf{\underline{\underline{\pink{A_{(Circle)} = 8167.14 \: {cm}^{2}}}}}}}\)

Hence, the area of circle is 8167.14 cm².

Answer:

20+40+2+4 or 24 + 42

Step-by-step explanation:

Answer: x = 4

Step-by-step explanation:

Divide each term in 5x = 20 by 5 and simplify

\(\frac{5}{5} x\) = \(\frac{20}{5}\)

\(x=4\)

Answer:

x=4

Step-by-step explanation:

5x4=20

Answer:

Step-by-step explanation:

285

Answer:

Company P's total cost is $285

Step-by-step explanation:

Graphed rates of changes and the lowest point was (2375, 285).

The particular solution we obtained is: Up = (19/32)e^(4t) − (19/8)e^(−t) + 1/6.

To find a particular solution to the given equation: Up=1+6y+8y′=19te, we can use the method of undetermined coefficients.

Here, we have a nonhomogeneous equation, which means that we need to find a particular solution and then add it to the general solution of the corresponding homogeneous equation.

Now, let's find the particular solution:Particular solutionWe need to guess a particular solution to the given equation that satisfies the right-hand side of the equation.

Let's assume that our particular solution is of the form:Up = At^2 + Bt + C + De^(4t) + Ee^(−t) + FNow, we need to take the derivative of our particular solution and substitute it into the given equation:Up = At^2 + Bt + C + De^(4t) + Ee^(−t) + FUp′ = 2At + B + 4De^(4t) − Ee^(−t).

Now, we can substitute these expressions into the given equation:Up = 1 + 6y + 8y′ = 19te1 + 6(A t^2 + B t + C + De^(4t) + Ee^(−t) + F) + 8(2A t + B + 4De^(4t) − Ee^(−t)) = 19t.

Now, we can simplify and equate the coefficients of the terms involving the same powers of t to obtain a system of linear equations for the coefficients A, B, C, D, E, and F:6A + 8(2A t) = 0 ⇒ A = 0(6B + 8(B)) = 0 ⇒ B = 0(6C + 8F) = 1 ⇒ C = 1/6 and F = 1/8(32D e^(4t) − 8E e^(−t)) = 19t − 1 ⇒ D = 19/32 and E = −(19/8).

Therefore, our particular solution is:Up = (19/32)e^(4t) − (19/8)e^(−t) + 1/6The main answer is:Up = (19/32)e^(4t) − (19/8)e^(−t) + 1/6T

To find the particular solution, we assumed that it was of the form: Up = At^2 + Bt + C + De^(4t) + Ee^(−t) + F, and substituted this expression into the given equation.

Then, we equated the coefficients of the terms involving the same powers of t to obtain a system of linear equations for the coefficients A, B, C, D, E, and F.

Finally, we solved this system of linear equations to obtain the values of the coefficients and thus the particular solution. The particular solution we obtained is: Up = (19/32)e^(4t) − (19/8)e^(−t) + 1/6.

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A) In both cities = 0.3

B) In neither cities = 0.2

Given,

P(Industry in Shanghai) = P(A) = 0.7

P(Industry in Beijing) = P(B) = 0.4

P(Industry in Shanghai or Beijing)  = P(A∪B) = 0.8

a) We need to find the probability that the industry is located in both Shanghai and Beijing.

That is we need to find P(A∩B)

P(A∪B) = P(A) + P(B) - P(A∩B)

Substituting the values we get,

0.8 = 0.7 + 0.4 - P(A∩B)

P(A∩B) = 0.3

Thus, the probability that the industry is located in both Shanghai and Beijing is 0.3.

b) Now, we need to find the probability that it is not in either cities

Probability = 1 - Probability(Industry in Shanghai or in Beijing)

                = 1 - P(A∪B)

                = 1 - 0.8

                = 0.2

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The question is incomplete. Completed question is given below.

The probability that an American industry will locate in Shanghai, China, is 0.7, the probability that it will locate in Beijing, China, is 0.4, and the probability that it will locate in either Shanghai or Beijing or both is 0.8. What is the probability that the industry will locate

A. in both cities?

B. in neither city?

Answer:

False

Step-by-step explanation:

4/8 equals to 1/2 but 6/10 equals to 3/5. Correct would be if it was 5/10

Lee has 9/14 hours left to play the game

Lee's mom said he could play video games for 1 1/2 hours

He has already played the video games for 6/7 hour

The number of time left to play the video games can be calculated as follows

= 3/2 - 6/7

= 21-12/14

= 9/14

Hence Lee has 9/14 hours left to play the video games

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Answer: 54

Step-by-step explanation:

We know that 45 is 5/6. So that means 45/5=9. 9 is 1/6. 9x6=54 is 54. 54 is the number.

Answer:

\(y = 2 \: cos \: (\frac{1}{3} x)\)

option C is the right option.

Explanation:

General expression of a cosine function is:

y=A cos k X

where A is amplitude and 2 pi/k is its period.

In our case,

\( - y = 2 \: cos \: (\frac{1}{3} x) \:\)

has :

\(amplitude = 2 \\ period = 2\pi \times 3 = 6\pi\)

hence, the right answer is of option C

hope this helps...

Good luck on your assignment..

Answer:

) Cluster sample.

Step-by-step explanation:

Here are the options

A) Multistage sample.

B) Stratified sample.

C) Cluster sample.

D) Simple random sample.

E) Convenience sample.

A cluster sample is when a population is divided into groups known as clusters. Samples are then randomly selected from this sample. It is a method of probability sampling used for large populations.

The airline first divided the population of travellers by months travelled. this is the cluster. From within the cluster, 10 samples are then chosen

Advantages of a cluster sample

Disadvantages of a cluster sample

Answer:

Step-by-step explanation:

a

Answer:

its just a black screen

Step-by-step explanation:

Answer:

3173

Step-by-step explanation:

13.50*2012=27,162-190=26,972/8.50=3173

Answer:

To find out the percentage, you do (3.99/42) * 100.

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

AB=DC

BC=AD

BA=CD

CB=DA

The function (g+h)(n-4) is the sum of the function g(n-4) and h(n-4) will be written as (g+h)(n-4) = n² - 7n + 9.

A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.

The functions are given below.

g(n) = n² + 4n

h(n) = - 3n - 3

The function (g+h)(n) is calculated as,

(g+h)(n) = g(n) + h(n)

(g+h)(n) = n² + 4n - 3n - 3

(g+h)(n) = n² + n - 3

Put n = n - 4, then we have

(g+h)(n-4) = (n - 4)² + (n - 4) - 3

(g+h)(n-4) = n² + 16 - 8n + n - 4 - 3

(g+h)(n-4) = n² - 7n + 9

The function (g+h)(n-4) will be (g+h)(n-4) = n² - 7n + 9.

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Answer:

C 14 pounds

Step-by-step explanation:

5 bags=35 pounds

1 bag=7 pounds

2 bags = 14 pounds

Answer:

c:)

Step-by-step explanation:

Answer: A

Step-by-step explanation:

Since multiplication is the only operation under the radical, you can apply the root to each term. Im not sure if I worded that correctly, but ill hopefully explain correctly.

First we need to take the cubed root of 648. This number doesn't have a perfect root, but it can be simplified. 648 is the same as 216*3, and 216 has a perfect cubed root of 6. So we can bring the 6 outside of the radical

\(3x*6\sqrt[3]{3x^4y^8}=18x\sqrt[3]{3x^4y^8}\)

The next step is simplifying the variables, which is the easiest part. Just split them up into multiples of 3, again poor explanation but Ill show what I mean.

\(18x\sqrt[3]{3x^3xy^3y^3y^2}\)

The cubed root and the cubed power will cancel and can be brought outside the radical\(18x*xy^2\sqrt[3]{2xy^2} =18x^2y^2\sqrt[3]{3xy^2}\)

His pay to play this game per draw is $0.1413

0.015 of an event is a measurement of how likely an event can occur as an outcome of a random experiment.

Probability ranges from 0 to 1, both inclusive. Events whose probability is closer to 0 are rarer to occur than those whose probabilities are closer to 1 (relatively).

When converted to percentage, we just need to multiply its decimal representation by 100. In percentage form, the probability ranges from 0% to 100%.

Given;

Money mark recieves for diamond=$0.45

Money mark recieves for queen=$0.60

Money mark recieves for queen of diamonds=$0.80

Now,

Probability of getting a diamond = 13/52

Price of one heart =$0.45

Pay for one heart = 13/52×0.45=$0.1125

Probability of getting a queen =4/52

Price of one queen =$0.60

Pay for one queen =4/52×$0.60=$0.0115

Probability of getting a queen of diamonds =1/52

Price of one queen =$0.80

Pay for one queen =1/52×$0.80=$0.015

Total pay for one draw= $0.1125+$0.0115+$0.0173=$0.015

=0.1413

Therefore, the pay per draw by probability will be $0.1413

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s = 6.5

Points on a line can be found by plugging in values and solving for different variables.

Solving for s

The question tells us that there is some point on this line that has a y-value of 6. In the coordinate pair, s represents the x-value. So, we need to find the x-value when y = 6. To do this, we need to plug 6 into the equation and solve for x.

Then, we can subtract 18 from both sides.

Finally, divide by -2.

This means that when y = 6, x = 6.5. Thus, the value of s is 6.5.

Graphing the Line

Another way to find the value of s is to graph the equation. Then, find where on the line y = 6. On the graph, you can see that when y = 6, x = 6.5. This once again shows that s = 6.5.

Answer: its  D) 24

Step-by-step explanation:

For your answer i have checked and it is correct it is D) 24