plz can someone help me with number 5?

The margin of error is 0.05 then the sample size of students is 384.

A statistic known as the margin of error describes how much random sampling error there is in survey data. Less faith should be placed in a poll's results representing the outcome of a population census as the margin of error increases.

The number of students in a school is 1000.

The level of confidence (C.L.) is 95% .

=  95/100

= 0.95.

The level of significance (α) is:

α = 1 − CL

=1  − 0.95

=0.05

The two-tailed critical value (Z) at the level of significance 0.05 was calculated using the standard normal table and is equal to 1.96.

Assume that 0.5 of the pupils at your school support the removal of the neighborhood's adolescent curfew.

the minimum number of students you need if you want the margin of error to be 5% will be:

\(n=\frac{\hat{p} \times(1-\hat{p}) \times\left(Z^{*}\right)^{2}}{(E)^{2}}\)

= 0.5(1−0.5)×(1.96)^2/(0.05)^2

=  384.16

= 384

the minimum number of students you need if you want the margin of error to be 5% will be: =  384

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I understand that question you are looking for is:

You are interested in the proportion of students in your school who favor the elimination of a local curfew on teenagers. Assume your school has 1,000 students.

a. To generate a 95% confidence interval for the proportion of students who favor the elimination of a curfew, what's the minimum number of students you need if you want the margin of error to be 5%?

Answer: 4 feet < Length < 21 feet

Step-by-step explanation:

From the question, the length of the rectangular fence is 4 feet more than its width and the perimeter of the fence is less than 42 feet. The range of the lengths of the fence will be:

Length is greater than 4 feet (4 feet more than the width. This means that the length must be at least 4 feet) and less than 21 feet i.e the length must be less than 1/2 of the perimeter which is 42/2 = 21. Therefore, the answer will be:

4 feet < Length < 21 feet

Answer:

12.5

its right

Step-by-step explanation:

Answers:

s = 31

t = 62

u = 17

w = 31

================================================

Explanation:

Inscribed angles w and s subtend the same arc that the inscribed angle 31 degrees is doing. Therefore, angle w = angle s = 31 degrees.

Inscribed angles that subtend the same arc will be equal in measure.

Similarly, the 17 degree angle and angle u both subtend the same arc. This must mean angle u = 17 degrees.

------------

Use the inscribed angle theorem to determine the central angle t

angle t = 2*(inscribed angle w)

angle t = 2*(31)

angle t = 62 degrees

The point (-5, -9) was reflected over the y-axis to become the point (5, -9). The x-coordinate changed sign the y-coordinate remained the same, confirming that the reflection took place over the y-axis.

The point (-5, -9) was reflected over the y-axis to become the point (5, -9).

To understand which axis the reflection occurred over, we need to analyze the changes in the coordinates.

In a reflection over the x-axis, the y-coordinate of a point changes sign while the x-coordinate remains the same.

Similarly, in a reflection over the y-axis, the x-coordinate changes sign while the y-coordinate remains the same.

The y-coordinate of the point (-5, -9) remains the same as -9 in both the original and reflected points.

The x-coordinate changes from -5 to 5.

This means that the reflection involved a change in the x-coordinate, indicating that it occurred over the y-axis.

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If we are told that ab=0, then we can infer that either a or b (or both) must be equal to 0.

This is because when the product of two numbers is 0, at least one of the numbers must be 0 according to the zero product property.

One of the most crucial concepts for pupils to understand in maths and science is the zero product property.

The greatest educators, mathematicians, and recognized scientists in the fields of physics and chemistry have worked with Vedantu to provide their insights on the subject.

Their suggestions helped us develop materials for your understanding that would make it simple for you to put these ideas into practice.

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Step-by-step explanation:

1, 19 and 1, 2, 19, 38 respectively.

I think this is ur answer.....!

The percent frequency of industries that are classified as electronics is 20%.

To calculate the percent frequency of companies classified as electronics, we need to divide the frequency of electronics companies (10) by the total number of companies in the sample (50), and then multiply by 100 to express it as a percentage.

Percent Frequency of Electronics = (Frequency of Electronics / Total Number of Companies) × 100

Percent Frequency of Electronics = (10 / 50) ×100

Percent Frequency of Electronics = 0.2× 100

Percent Frequency of Electronics = 20%

Therefore, the percent frequency of industries classified as electronics in the sample of 50 Fortune 500 companies is 20%.

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Answer:

24.4

Step-by-step explanation:

The probability of renting exactly three apartments in a week is approximately 0.2018 or 20.18%.

If the average number of units rented per week is 2.3 and the distribution is Poisson, then the parameter lambda is also equal to 2.3.

The probability of renting exactly three apartments in a week is given by the Poisson probability function:

\(P(X = 3) = (e^(-lambda) * lambda^x) / x!\)

Substituting the values, we get:

\(P(X = 3) = (e^(-2.3) * 2.3^3) / 3!\)

P(X = 3) = (0.09963 * 12.167) / 6

P(X = 3) = 0.2018

Therefore, the probability of renting exactly three apartments in a week is approximately 0.2018 or 20.18%.

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The missing points from the Column is:

Game Free-Throw Percentage:        60  20  60  80

Average Free-Throw Percentage:    70  60  55  56.67

Game       Game           Total              Game                              Average

               Result                               Free-Throw                       Free-Throw

                                                       Percentage                       Percentage

1                8/10              8/10                 80                                  80

2                 6/10            14/20               60                                  70          

3                1/5               15/25                20                                  60        

4                3/5              18/30                60                                  55        

5                8/10             26/40               80                                  56.67                                                          

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The question attached here seems to be incomplete, the complete question is

Fill in the columns with Dmitri's free-throw percentage for each game and his overall free-throw average after each game.

Game       Game Result         Total      Game Free-Throw Percentage    Average Free-Throw Percentage

1                        8/10                        8/10                   80                                                           80

2                        6/10                        14/20                    

3                        1/5                        15/25  

4                        3/5                        18/30  

5                        8/10                       26/40  

The equation P(t) = A - Bexp(-ct) can be used to model a worker's productivity after t hours on the job, where A, B, and c are positive constants.

We can then define the change in productivity over a brief period of time dt as

where P(t) is the productivity at time t. We can assume that dP(t) is negative because productivity is assumed to decrease over time.

As a result, the equation can be written as dP(t)/dt = -cP(t), or it can be rewritten as P(t) = Aexp(-ct), where A is a constant. P(t) = A - Bexp(-ct) can be obtained by adding a constant B to the right side of the equation to account for the fact that productivity can never be negative.

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Answer:

last one (number four):

1 < x < ∞

Wave interference that results in greater wave amplitude is called Constructive interference.

What is Wave Interference?

Wave interference is a physical phenomena that occurs when two waves collide while traveling through the same medium. Waves interact in two ways.

a) Constructive Interference - In this case, the two waves cancel each other out because their amplitudes are equal and opposite.

b) Destructive Interference - This occurs when two waves add to each other as they travel in the same direction, resulting in a wave with a longer wavelength.

It is Constructive interference.

Therefore, Wave interference that results in greater wave amplitude is called Constructive interference.

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The area of the walkway around the garden is 2.5(6x+6) - 2(3.5x +2.5).

A sketch or a picture is an example of a flat shape, which is a two-dimensional geometric shape. The interior space of the shape is how area is defined in mathematics. The area of a two-dimensional shape must take into account the units, which are squared units (units2). All of the shapes shown in the diagram below are flat, two-dimensional shapes. The quantity of square units that occupy any form determines its area.

Given

A rectangular garden has a walkway around it

Area of garden 2(3.5x +2.5)

Combined area 2.5(6x+6)

Walkway area = A

2(3.5x +2.5) + A = 2.5(6x+6)

A = 2.5(6x+6) - 2(3.5x +2.5)

The area of the walkway around the garden is 2.5(6x+6) - 2(3.5x +2.5).

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The value of the gauge needle is, 9.01 cm

Given that;

The fuel gauge of a car represents how much gasoline is left in the tank. If the area of the sector represented by the fuel gauge is 10.6 square centimeters.

Now, We can formulate;

A = θ/360 πr

10.6 = (135/360) 3.14 x r

3816 = 423.5r

r = 9.01

Thus, The value of the gauge needle is, 9.01 cm

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Sure! Here's the 99.5% confidence interval for the true population mean textbook weight: (49.433, 60.567) ounces.

To construct a confidence interval for the true population mean textbook weight, we can use the formula:

Confidence Interval = (sample mean) ± (critical value) * (standard deviation / √(sample size))

Given the information provided:

- Sample mean = 55 ounces

- Population standard deviation = 11.4 ounces

- Sample size = 32 textbooks

First, we need to find the critical value corresponding to a 99.5% confidence level. Since the sample size is relatively small (32 textbooks), we can use a t-distribution instead of a normal distribution.

The degrees of freedom for a t-distribution are given by (sample size - 1). In this case, the degrees of freedom will be (32 - 1) = 31.

Using a t-table or a statistical calculator, we find the critical value for a 99.5% confidence level and 31 degrees of freedom is approximately 2.750.

Now, we can calculate the confidence interval:

Confidence Interval = 55 ± 2.750 * (11.4 / √32)

Confidence Interval = 55 ± 2.750 * (11.4 / 5.657)

Confidence Interval = 55 ± 5.567

Therefore, the 99.5% confidence interval for the true population mean textbook weight is approximately (49.433, 60.567) ounces.

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Answer:

41.44

the tax is 2.88$

the tip is 5.88$

bill is 32.68

add equals 41.44$

Answer:

5

-5

13

-5

-13

13

5

-13

Step-by-step explanation:

Answer:

5, -5, 13, -5, -13, 13, 5, -13

Step-by-step explanation:

Hope this helped and have a good day

Answer:

8 hours shift because you count from 7 am to 3pm

The total number of hours between the 7 am and 3 pm shift is 8 hours.

What is meant by the hour?

Depending on the speed of the Earth's rotation, an hour is a measure of time that is traditionally calculated as 1/24  of a day and scientifically estimated to last between 3,599 and 3,601 seconds. There are 24 hours in a day and 60 minutes in an hour.

The 24-hour day is divided into two sections, a.m. and p.m., according to the 12-hour clock time convention. Latin terminology for the hours of the day, AM and PM, are commonly employed. The abbreviations AM and PM stand for Ante meridiem and Post meridiem, respectively, which indicate before noon or midday and afternoon or midday. AM is used to denote the first 12-hour period, which runs from midnight to noon, and PM is used to denote the following 12-hour period, which runs from noon to midnight.

From 7 am to 12 pm, the number of hours = 5

From 12 pm to 3 pm, the number of hours = 3

Therefore the total number of hours between the 7 am and 3 pm shift is (3+5) = 8 hours.

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Answer

Step-by-step explanation:

quad 1=+,+

quad 2= -+

quad 3= -,-

quad 4= +,-

Samantha works at a nursery where sh pots plants. It takes her 1-1/2 hours to pot 12 plants. So, Samantha takes7.5 minutes to pot one plant.

Samantha takes 1-1/2 hours to pot 12 plants. To find out how long it takes her to pot one plant, we need to divide the total time taken by the number of plants potted.

There are a few steps we can take to simplify the calculation. First, we can convert 1-1/2 hours to a decimal by adding 1 to 1/2, which gives us 1.5 hours. Then, we can divide 1.5 hours by 12 plants to find the time it takes to pot one plant.

1-1/2 hours = 1.5 hours

Time taken to pot one plant = 1.5 hours / 12 plants

Time taken to pot one plant = 0.125 hours per plant

Finally, we can convert hours to minutes by multiplying by 60.

0.125 hours per plant = 7.5 minutes per plant

Therefore, it takes Samantha 7.5 minutes to pot one plant.

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Question:

Samantha works at a nursery where she pots plants. It takes her 1 1/2 hours to pot 12 plants. How many plants can Samantha pot in 1 hour? (Please give me the equation you used.)

Answer:

3x+2

Step-by-step explanation:

━━━━━━━☆☆━━━━━━━

▹ Answer

6

▹ Step-by-Step Explanation

Follow PEMDAS:

Parentheses

Exponents

Multiplication

Division

Addition

Subtraction

3(4 - 2)

3(2)

= 6

Hope this helps!

CloutAnswers ❁

Brainliest is greatly appreciated!

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On solving the provided question, we can say that By the help of trigonometry the angle elevation is 45.

The area of mathematics known as trigonometry looks at how triangle side lengths and angles relate to one another. In the Hellenistic era, roughly in the third century BC, the region had its initial appearance due to the use of geometry in astronomical study.

Exact mathematics focuses on specific trigonometric functions and how calculations could employ them. There are six well-known trigonometric functions in trigonometry.

They go by a variety of names and abbreviations, including sine, cosine, tangent, cotangent, secant, and cosecant (csc). The study of triangle properties, particularly those of right triangles, is known as trigonometry. In geometry, the characteristics of every geometric figure are explored.

Let the pole's height be denoted by AB = h.

A pole's shadow will create the base BC.

Let the elevation angle be 9,

By the help of trigonometry

tan x = AB/BC

tan x = h/h = 1

x = tan^(-1)

x = 45

Hence, the angle elevation is 45

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Answer:

C. 3x^2 + 2x + 1

Step-by-step explanation:

A. 12^2 - (4*3*12) = 0 (there's one solution.)

B. (-3)^2 - (4*3*-18) = 255 (there're 2 real solutions.)

D. 3^2 - (4*0*-3) = 9 (there're 2 real solutions.)

C. 2^2 - (4*3*1) = -18 ✅✅

if b^2 - 4ac = negative then we can say that there isn't any real solution for the equation.

The condition for the first dark fringe through a single slit of width w is given by w sin(θ) = λ/2.

The condition for destructive interference at the first dark fringe can be found using the path difference between the two waves.

For the first dark fringe, the path difference between the two waves that pass through the edges of the slit must be half a wavelength:

Δx = λ/2

where Δx is the path difference and λ is the wavelength of the light.

The path difference Δx can be related to the width of the slit w and the angle θ that the diffracted wave makes with the central axis of the slit by:

Δx = w sin(θ)

Therefore, the condition for the first dark fringe can be expressed as:

w sin(θ) = λ/2

The condition for the first dark fringe through a single slit of width w is given by w sin(θ) = λ/2.

This means that if the width of the slit and the wavelength of the light are known, the angle θ at which the first dark fringe occurs can be calculated.

This condition arises due to the interference of the diffracted waves from the edges of the slit. When the path difference between these waves is equal to half a wavelength, the waves interfere destructively and produce a dark fringe.

The first dark fringe is observed at the angle θ for which the path difference between the waves passing through the edges of the slit is equal to λ/2.

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To convert the complex number 2 + 11i to trigonometric form, we can use the following formula:

r = √(a² + b²)

θ = arctan(b/a)

where a and b are the real and imaginary parts of the complex number, respectively.

For 2 + 11i, a = 2 and b = 11. Plugging these values into the formulas, we get:

r = √(2² + 11²) = √125 = 5√5

θ = arctan(11/2) ≈ 79.63°

Therefore, the complex number 2 + 11i in trigonometric form, rounded to the nearest hundredth of a degree, is 5√5 cis 79.63°.

For the complex number 20 - 21i, a = 20 and b = -21. Plugging these values into the formulas, we get:

r = √(20² + (-21)²) = √841 = 29

θ = arctan((-21)/20) ≈ 313.74°

Therefore, the complex number 20 - 21i in trigonometric form, rounded to the nearest hundredth of a degree, is 29 cis 313.74°.

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