functions of its products. All air conditioners must pass all tests before they can be v 17. An air-conditioner manufacturer uses a comprehensive set of tests to access the 200 air conditioners were randomly sampled and 5 failed one or more tests. Find the 90% confidence interval for the proportion of air-conditioners from the population the pass all the tests.

The result of the chi-square (χ2) test with a test statistic value of 20.43 and a p-value less than .001 indicates that there is a statistically significant association between gender and high school dropout.

In a chi-square test, the test statistic (χ2) measures the difference between the observed frequencies and the expected frequencies in a contingency table. The p-value associated with the test statistic indicates the probability of observing such a result or more extreme, assuming the null hypothesis is true.
In this case, the test statistic value is 20.43, and the p-value is less than .001. Since the p-value is less than the significance level (commonly set at .05), we reject the null hypothesis. This means that there is sufficient evidence to conclude that there is a statistically significant association between gender and high school dropout.
In other words, the result suggests that there is a relationship between gender and the likelihood of high school dropout. The observed data provide strong evidence that the association between gender and high school dropout is not due to random chance alone.

Learn more about chi-square test here
https://brainly.com/question/30760432

 #SPJ11

The answer is (D), the function has at least one zero in the set of complex numbers, is correct.

What is the polynomial function?

A polynomial function is defined as a function in which the highest power of the independent variable is finite. The degree of a polynomial function is equal to the highest power of the independent variable.

In this case, the highest power of x is x^5, so the degree of the function is 5.

Therefore, the answer is (D), the function has at least one zero in the set of complex numbers, is correct.

All polynomial functions have at least one zero in the set of complex numbers by the Fundamental Theorem of Algebra. The other answers (A), (B), and (C) are incorrect.

Hence, the answer is (D), the function has at least one zero in the set of complex numbers, is correct.

To learn more about the polynomial function visit,

https://brainly.com/question/24380382

#SPJ1

(1) To find the area of the surface obtained by rotating the curve x = (1/3)*(y^2 + 2)^(3/2) about the x-axis, we use the formula: A = 2π∫[a,b] f(x)√(1 + (f'(x))^2) dx. Answer : A = (π/36)∫[37,145] u

where f(x) is the function to be rotated and a and b are the limits of integration. In this case, we need to express the function in terms of y and find the derivative with respect to y.

x = (1/3)*(y^2 + 2)^(3/2)

Differentiating with respect to y:

dx/dy = (1/2)*(1/3)*(y^2 + 2)^(1/2)*2y = (1/3)*y*(y^2 + 2)^(1/2)

Using this in the formula for the surface area:

A = 2π∫[1,2] [(1/3)*(y^2 + 2)^(3/2)]√[1 + ((1/3)*y*(y^2 + 2)^(1/2))^2] dy

Simplifying the expression under the square root:

A = 2π∫[1,2] [(1/3)*(y^2 + 2)^(3/2)]√[(y^4 + 4y^2 + 4)/(9*(y^2 + 2))] dy

Simplifying further:

A = (2π/3)∫[1,2] (y^2 + 2)^(3/2) dy

Let u = y^2 + 2, then du/dy = 2y and the limits of integration change:

A = (2π/3)∫[3,6] u^(3/2) (1/2u) du

Simplifying:

A = (π/9)[u^(5/2)]_[3,6] = (π/9)[(6^5/2 - 3^5/2)] = (π/9)(1339) (exact answer)

Therefore, the exact area of the surface obtained by rotating the curve x = (1/3)*(y^2 + 2)^(3/2) about the x-axis is (π/9)(1339).

(2) To find the area of the surface obtained by rotating the curve x = 1 + 3y^2 about the x-axis, we again use the formula:

A = 2π∫[a,b] f(x)√(1 + (f'(x))^2) dx

where f(x) is the function to be rotated and a and b are the limits of integration. In this case, we need to express the function in terms of y and find the derivative with respect to y.

x = 1 + 3y^2

Differentiating with respect to y:

dx/dy = 6y

Using this in the formula for the surface area:

A = 2π∫[1,2] (1 + 3y^2)√[1 + (6y)^2] dy

Simplifying:

A = 2π∫[1,2] (1 + 3y^2)√[1 + 36y^2] dy

Let u = 1 + 36y^2, then du/dy = 72y and the limits of integration change:

A = (π/36)∫[37,145] u

Learn more about surface area: brainly.com/question/29298005

#SPJ11

Answer:

V = 56.52

Step-by-step explanation:

Formiula

V = (1/3) * pi * r^2 * h

Givens

pi = 3.14

r = 3 yard

h = 6 yards

Solution

V = (1/3) * 3.14 * 3^2 * 6          Multiply 1/3 * 6

V = 2 * 3.14 * 9

V = 56.52

Solution a needed 70 ounces and solution b needed 50 ounces

What does "1 ounce" mean?

One ounce weighs 437.5 grains or 28.349 grams and is a sixteenth of a pound (avoirdupois) of weight.

One ounce, abbreviated "oz," equals 480 grains, or 31.103 grams, and is one-twelfth of a Troy or Apothecaries' pound in weight. abbreviation for fluid ounce. a tiny amount or percentage.

So, let x=the of ounces of the 50% acid solution. The total volume after both are mixed is 100 ounces so the amount of the 20% solution will be 120-X. The equation will therefore be:

50% * x + 20% * (100-x) = 41% * 100

Dropping the ‘%’ we get

50x + 2000 - 20x = 4100

30x = 2100

x = 2100/30 = 70

Hence 70 ounces will be needed

Solution a = 70 ounces

Solution b = 50 ounces

Learn more about concentration

https://brainly.com/question/17206790

#SPJ4

For a binomial distribution with parameters n = 290 and p = 0.29, the mean, variance, and standard deviation can be calculated. The mean represents the average number of successes, the variance measures the spread of the distribution, and the standard deviation quantifies the dispersion around the mean.

The mean (μ) of a binomial distribution is given by the formula μ = n * p, where n is the number of trials and p is the probability of success. Substituting the given values, we have μ = 290 * 0.29 = 84.1.

The variance (σ²) of a binomial distribution is calculated as σ² = n * p * (1 - p). Plugging in the values, we get σ² = 290 * 0.29 * (1 - 0.29) = 59.695.

To find the standard deviation (σ), we take the square root of the variance. Therefore, σ = √(59.695) = 7.728.

In summary, for the given values of n = 290 and p = 0.29, the mean is 84.1, the variance is 59.695, and the standard deviation is 7.728. These measures provide information about the central tendency, spread, and dispersion of the binomial distribution.

Learn more about binomial distribution here:

https://brainly.com/question/29137961

#SPJ11

Answer: okay

Step-by-step explanation:

Graph the line using the slope and y-intercept, or two points.

Slope is : -3

Y-intercept is: (0,-6)

The amount you need to Deposit each year is approximately $17,191.66.

To calculate the amount you need to deposit each year to have $55,000 in your savings account in 3 years, we can use the formula for the future value of an ordinary annuity:

FV = P * ((1 + r)^n - 1) / r

Where:

FV = Future value of the annuity (desired amount of $55,000)

P = Annual deposit

r = Annual interest rate (6.5% or 0.065)

n = Number of years (3)

We need to solve for P, so let's rearrange the formula:

P = FV * (r / ((1 + r)^n - 1))

Substituting the given values into the formula:

P = 55000 * (0.065 / ((1 + 0.065)^3 - 1))

P ≈ $17,191.66

Therefore, the amount you need to deposit each year is approximately $17,191.66.

For more questions on Deposit .

https://brainly.com/question/29141459

#SPJ8

The value of the equation x² - x + 3 is 37/9.

We have,

We can start by multiplying both sides of the equation by x:

2x - 3/x = x + 1

2x - 3 = x^2 + x

Rearranging and simplifying, we get:

x^2 - x + 3 = (2x - 3) + x^2

x^2 - x + 3 = x^2 + 2x - 3

-x + 3 = 2x - 3

5 = 3x

x = 5/3

Now we can substitute x into the equation x^2 - x + 3:

x^2 - x + 3 = (5/3)^2 - 5/3 + 3

x^2 - x + 3 = 25/9 - 15/9 + 27/9

x^2 - x + 3 = 37/9

Therefore,

The value of x² - x + 3 is 37/9.

Learn more about equations here:

https://brainly.com/question/17194269

#SPJ1

Answer:

B

Step-by-step explanation:

Add whole numbers first 3+3+3= 9

Convert fractions to have same denominators 4/12+3/12+5/12= 1

Add both numbers together 9+1= 10

The  graph shows a function and its is the graph in option A.

The original path is reflected on the line y = x. The two functions are said to be inverses of one another if the graphs of both functions are symmetric with respect to the line y = x. This is due to the fact that (y, x) lies on the inverse function of the function if (x, y) lies on the original function.

The inverse function is shown on a graph with the use of a vertical line test. The line has a slope and travels through the origin.

Instance is the  f(x) = 2x + 5 = y. Then, is the inverse of \(g(y) = \frac{ (y-5)}{2} = x\) f(x).Reflecting over the y and x gives us the function of the inverse.

Learn more about  graph  at:

https://brainly.com/question/19227104

#SPJ4

The equation which can be used to find the length of EF is option A which is  EF=\(\sqrt{24^{2} -12^{2} }\).

Given the length of base of right angled triangle is 12 and the hypotenuse be 24.

We are to find the length of EF and tell which equation can be used to find the length of EF.

We know that pythagoras theorem applies in a right angled triangle.

Pythagoras theorem says that in a right angled triangle the square of the hypotenuse is equal to the sum of square of base and perpendicular.

\(H^{2} =B^{2} +P^{2}\)

In this triangle we are only given base and hypotenuse and we have to find EF which is perpendicular.

\((DE)^{2} =(EF)^{2} +(DF)^{2}\)

EF=\(\sqrt{DE^{2}-DF^{2} }\)

=\(\sqrt{(24)^{2} -(12)^{2} }\)--1

=\(\sqrt{576-144}\)

=\(\sqrt{432}\)

Hence the equation which can be used to find the length of Ef is option A which is  EF=\(\sqrt{24^{2} -12^{2} }\).

Question is incomplete as it should include the figure also.

Learn more about pythagoras theorem at https://brainly.com/question/343682

#SPJ1

Answer:the temperature at 2:00 am is 2C and drops 2 each hour for X hours

Step-by-step explanation:

Answer:

86.25

Step-by-step explanation:

Answer:

She has to run 22 laps around the track.

Step-by-step explanation:

It is 22 laps because each mile means 4 laps on the track and 5 miles multiplied by 4 laps it 20 laps to do 5 miles, and then 1/2 mile times two is 2/4 which is 2 laps. 2 plus 20 is 22 laps.

Answer:

Step-by-step explanation:

,,,

Answer:

Step-by-step explanation:

Answer:

it is store b

Step-by-step explanation:

because you answered your own question

Answer:

24-9×2+6÷3

24-18+12

6+12

18

Step-by-step explanation:

use multiple and division before sum and subtract

Hey there!

Basically, to make this question/equation easier to solve you can do PEMDAS. If you’re unsure what that stands for, it simply means:

• Parentheses
• Exponents
• Multiplication
• Division
• Addition
• Subtraction

24 - 9 * 2 + 6/3

= 24 - 18 + 6/3

= 24 - 18 + 2

= 6 + 2

= 8

Therefore, your answer should be:

8

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer:

9/49

Step-by-step explanation:

4 purple beads and 3 green beads= 7 beads

P( green) = green = total = 3/7

Replace the bead

4 purple beads and 3 green beads= 7 beads

P( green) = green = total = 3/7

P( green , replace, green) = 3/7 * 3/7 = 9/49

Answer:

5z^2-8z+3

-5×-3=15

-5+-3=-8

so...

5z^2-5z-3z+3

5z(z-1)-3(z-1)

therefore the answer is...

(5z-3) (z-1)

(a) Example question: "How often do you look at social media while doing schoolwork?

(b) Sofie can select a simple random sample of students by using a random number generator to assign a unique identification number to each student in the online high school.

(c) The sample for Sofie's research is the 32 completed surveys she received. These surveys represent the responses of a subset of the population. The population, in this case, refers to all the students at the online high school.

(d) If Sofie uses only the completed surveys, she can conclude that approximately 50% (16 out of 32) of the students who completed the survey reported using social media while doing schoolwork.

(a) Please select one of the following options: never, rarely, occasionally, frequently, or always."

(b) She can then use the random number generator again to select a specific number of students from the entire population of students, ensuring that each student has an equal chance of being selected. For example, if there are 500 students in total and Sofie wants a sample size of 50, she can generate 50 random numbers and select the corresponding students based on their identification numbers.

(d) However, it is important to note that this conclusion is specific to the sample of completed surveys and cannot be generalized to the entire population of high school students.

To make an inference about the percent of all high school students who use social media while doing schoolwork, Sofie would need a larger and more representative sample that covers a wider range of students in the online high school.

Additionally, she should consider potential biases in the sample, such as non-response bias if the students who chose not to complete the survey have different social media usage patterns compared to those who did respond.

For more such questions on surveys

https://brainly.com/question/30735918

#SPJ8

Answer:

Step-by-step explanation:

Solving systems of equations gives the points of intersection when the equations are graphed.

The answer is 3.

answer:

A.7/5 is the correct answer because numerator is more than denominator.

thank me plz

Answer:

the answer is A

Step-by-step explanation:

Answer:

Step-by-step explanation:

Hence the height of the building is 27.5 ft.

Given, Peter places a mirror between him and the wall. Peter is 2 feet 9 inches away from the mirror and the mirror is 11 feet away from the wall of the building. Peter knew his eye level was exactly 5 ft 6 inches off of the ground, so the height of peter is  5 ft 6 inches.

Yes he was able to calculate the height of the building.

We have the following formulae by similarity of triangles,

\(\frac{height of building}{peter's height } =\frac{13.75 ft}{2.75ft}\)

Now,\(\frac{height of building}{5.5ft} =\frac{13.75ft}{2.75ft}\)

\(\frac{height of building}{5.5ft}=5\)

\(height of building=5.5\times 5 ft\)

So,\(height of building = 27.5 ft\)

Hence the height of the building is 27.5 ft.

For more details follow the link:

https://brainly.com/question/8123912

Answer:

- 2/3

-2/3

2/-3

Step-by-step explanation:

The index variable for the element at the last row and last column in the array x is B. x[4][6].

In Java, arrays are zero-indexed, which means the first element of an array is at index 0. The given array x is a 2D boolean array with dimensions 5x7 (5 rows and 7 columns). To access the last row and last column, we need to subtract 1 from each dimension:

- For the last row, the index is 5 - 1 = 4.
- For the last column, the index is 7 - 1 = 6.

So, the correct index variable to access the last row and last column is x[4][6]. The other options provided are incorrect as they do not accurately represent the index of the last element:

- a. x[4][5] refers to the second to last element in the last row.
- c. x[5][6] would be out of bounds, as the maximum row index is 4.
- d. x[5][7] would also be out of bounds, as both the row and column indices are too large.

Therefore, the correct option is B.

Know more about Index variable here:

https://brainly.com/question/30393299

#SPJ11