Can someone please help me ASAP? It’s due tomorrow!! I will give brainliest if it’s all correct

Please do step a, b, and c

Can Someone Please Help Me ASAP? Its Due Tomorrow!! I Will Give Brainliest If Its All CorrectPlease Do

Answers

Answer 1

Answer:

Step A: The third quartile is 9.5, choice d.

Step B: The median of the data set is 6.5.

Step C: The IQR of the data set is 6, and we found this value by subtracting the first quartile from the third quartile (9.5 - 3.5 = 6).

Step-by-step explanation:

First, let's analyze the data set.

1 2 3 4 5 6 7 8 9 10 11 12

Since this data set is already sorted in numerical order, we can determine the median by finding the middle value that divides the data set in half. With 12 values in the data set, the median would be between the 6th and 7th numbers, so we can find this by using the calculation (6+7)/2 = 6.5.

                 6.5

{1 2 3 4 5 6} | {7 8 9 10 11 12}

With this median, we split our data set into two halves. Now, we can find the first quartile, or the 25th percentile, by finding the median of the first half. This would be the value between 3 and 4, so (3+4)/2 = 3.5.

       3.5        6.5

{1 2 3} | {4 5 6} | {7 8 9 10 11 12}

We can repeat this step in the second half in order to find the third quartile or the 75th percentile. The median of the second half would be between 9 and 10, so (9+10)/2 = 9.5.

       3.5         6.5        9.5

{1 2 3} | {4 5 6} | {7 8 9} | {10 11 12}

Now we know Q1 (first quartile) and Q3 (third quartile), we can find the IQR which is Q3 - Q1, so Q3 - Q1 = 9.5 - 3.5 = 6.

So now we can answer the question:

Step A: The third quartile is 9.5, choice d.

Step B: The median of the data set is 6.5.

Step C: The IQR of the data set is 6, and we found this value by subtracting the first quartile from the third quartile (9.5 - 3.5 = 6).


Related Questions

Which model is appropriate for the set {(-2,4. 5),(0,8),(1,10. 67),(3,18. 96)}

Answers

We can conclude that a quadratic model is appropriate for the given set of points {(-2,4. 5),(0,8),(1,10. 67),(3,18. 96)}.

To determine which model is appropriate for the given set of points {(-2,4.5),(0,8),(1,10.67),(3,18.96)}, we need to examine the pattern in the data and choose a model that fits the pattern well.

One common approach to fitting a model to data is to use regression analysis. In this case, we can start by plotting the points on a graph and visually examining the pattern.

When we plot the points, we see that they form a curved shape that resembles a quadratic function. To confirm this, we can use regression analysis to fit a quadratic model to the data.

Using a quadratic regression model, we obtain an equation of the form y = ax^2 + bx + c, where a, b, and c are constants to be determined. The regression analysis yields the following coefficients: a = 2.138, b = 1.959, and c = 5.48.

We can now use this quadratic equation to predict y for any given value of x within the range of the data.

To learn more about set click on,

https://brainly.com/question/30351078

#SPJ4

Can someone help with this question????

Answers

Answer:

besides this pic nothing else can be done

Identify the area of the figure. PLEASE RESPOND ASAP TYSM!!!

Answers

Answer:

184 cm to the 3

Step-by-step explanation:

13x7 91+90+181 and add 3

Answer is the first choice 184 cm sq.

Let’s break down this figure into:
Long rectangle 7 x 20 = 140
Small rectangle 4 x 8 = 32
Triangle 8H x 3base = 1/2(8)(3) = 12

Added together equals 184cm sq.

I added the attachment to show how I broke it down

Please help!!! I don't know how to find the area of this shaded shape, can someone explain this! Thank you.

Answers

Answer: The way you can find the area of this shape is by splitting the shape into a triangle and a square find the areas of each shape and then add the values.

Step-by-step explanation:

What is the probability of rushing picking a blue shin

Answers

If in an Bernoulli experiment the chance of picking red ball is 3.2 times higher than to pick a blue ball, the probability of picking a red ball is approximately 0.7619, or 76.19%.

A Bernoulli experiment is a statistical experiment that has only two possible outcomes, usually referred to as success and failure. In this case, the outcomes are picking a red ball or picking a blue ball.

Let's assume that the probability of picking a blue ball is P(B), and the probability of picking a red ball is P(R). We are given that the chance of picking a red ball is 3.2 times higher than the chance of picking a blue ball. Mathematically, this can be expressed as:

P(R) = 3.2 * P(B)

We also know that the sum of the probabilities of all possible outcomes must be 1, so:

P(R) + P(B) = 1

We can use these two equations to solve for P(R):

P(R) + (1/3.2) * P(R) = 1

(4.2/3.2) * P(R) = 1

P(R) = 3.2/4.2 = 0.7619

This means that out of every 10 balls, about 7.6 will be red and 2.4 will be blue.

To learn more about probability click on,

https://brainly.com/question/29221515

#SPJ4

Complete question is:

In an Bernoulli experiment the chance of picking red ball is 3.2 times higher than to pick a blue ball. What is the probability of picking the red ball?

Find the volume of the solid formed by rotating the region enclosed by y = e 4 x 1 , y = 0 , x = 0 , x = 0. 3 about the x -axis

Answers

The volume of the solid formed by rotating the region is 26.95 cubic units.

To find the volume of the solid formed by rotating the region enclosed by y = [tex]e^{4x}[/tex] + 1, y = 0, x = 0, and x = 0.3 about the x-axis, we can use the formula for the volume of a solid of revolution:

V = ∫[a, b] π * f(x)^2 dx

where a and b are the limits of integration, and f(x) is the distance from the x-axis to the curve being rotated.

In this case, a = 0 and b = 0.3, and f(x) = e^4x+1. Therefore, we have:

V = ∫[0, 0.3] π * [tex](e^{4x}+1)^{2}[/tex] dx

To evaluate this integral, we can use u-substitution with u = 4x + 1, du/dx = 4, and dx = du/4. Making this substitution, we get:

V = ∫[5, 6.2] π * [tex](e^{u} )^{2}[/tex] * (1/4) du

Simplifying, we get:

V = (π/4) * ∫[5, 6.2] [tex]e^{2u}[/tex] du

Using the power rule of integration, we get:

V = (π/8) * [[tex]e^{2u}[/tex] /2] |_[tex]5^{6.2}[/tex]

Substituting back in for u and simplifying, we get:

V = (π/8) * ([tex]e^{12.4} - e^{10}[/tex] )

Therefore, the volume of the solid formed by rotating the region enclosed by y =  [tex]e^{4x}[/tex] +1, y = 0, x = 0, and x = 0.3 about the x-axis is approximately 26.95 cubic units.

Correct Question :

Find the volume of the solid formed by rotating the region enclosed by y = e^4x+1 , y = 0 , x = 0 , x = 0. 3 about the x -axis.

To learn more about volume here:

https://brainly.com/question/31401216

#SPJ4

water is exiting a giant cone shaped funnel at a rate of 15 cubic inches per second. the funnel is 75 inches high and has a maximum radius of 40 inches. what is the rate at which the water level of the funnel is changing when the water is 15 inches high? note that the volume of the cone is v

Answers

In the event  of alteration in the rate at which the water level of the funnel is changing when the water is 15 inches high is 0.42 cubic inches per second.
The volume of a cone is given by the formula V = (1/3)πr²h here r is the radius of the base and h is the height of the cone.


Now we have differentiate this formula concerning t to get
dV/dt = (1/3)πr²dh/dt + (2/3)πrh²dr/dt.

It is given to us  that water is coming out a giant cone shaped funnel at a rate of 15 cubic inches per second, then we  can say that
dV/dt = -15 cubic inches per second

Therefore the funnel has a maximum radius of 40 inches and a height of 75 inches. We need to evaluate  dh/dt
If h = 15 inches.

In order to find dh/dt,
we need to evaluate  dr/dt and place it in  equation for dV/dt.

Therefore, to find dr/dh = r/h.
Given
when h = 75 inches,
r = 40 inches.
Therefore, dr/dh
= 40/75.

Staging this into the equation for dV/dt,

-15 = (1/3)π(40²)(dh/dt) + (2/3)π(40)(15)²(40/75)

Here simplification takes place


dh/dt = -0.4π/3
≈ -0.42 cubic inches per second
In the event  of alteration in the rate at which the water level of the funnel is changing when the water is 15 inches high is 0.42 cubic inches per second.


To learn more about volume,
https://brainly.com/question/14197390
#SPJ4                                                                                                                          

Is the event independent or dependent? You toss a penny and you toss a
dime.

O dependent
O independent

Answers

Answer:

the event would be independent.

Step-by-step explanation:

because the penny and dime are two seperate variables

Taner wants to run a total of 6 kilometers between last week and this week. How far does Taner need to run this week to reach his goal?

Answers

Thus, Taner needs to run only 3 km this week to reach his  run target of 6 km.

Explain about the fractional number:

We can begin by defining fractional numbers as numbers that represent one or maybe more pieces of a unit that has been divided into equal parts if we need a definition.

Two whole numbers (any fraction terms) separated by a horizontal line are used to calculate the fractional numbers (the fraction line). Every whole number may be used as the numerator above the line, whereas the denominator below the line must be distinct from zero.

Given that-

Total run target for Taner is 6 km (including last week and this week)

So,

2 week target for Taner = 6 km

Now,

1 week target for Taner = 6/2 = 3 km

As, 3 km of run is already finished by the Taner last week. Thus, Taner needs to run only 3 km this week to reach his goal.

Know more about the fraction

https://brainly.com/question/78672

#SPJ1

A cylinder has a height of 20 millimeters and a radius of 6 millimeters. What is its volume?
Use 3.14 and round your answer to the nearest hundredth.

Answers

Answer:

V = hpi(r)^2

 =  20(3.14)(17)^2 = 18,149.20 cubic mm

More accurately,

V = 20(3.14159)(17)^2 = 18158.39 mm^3

Step-by-step explanation:

129°
(16x + 17)*
Solve for x.

Answers

Therefore , the solution of the given problem of angles comes out to be  

x = 7 is the answer to the equation (16x + 17) = 129° for the variable x.

An angle's meaning is what?

A skew greatest and smallest walls are located where the roads leading to its ends meet. A crossroads could be where two paths converge. Angle is another outcome of two things interacting. They mimic dihedral shapes more than anything. A two-dimensional curve can be created by arranging two line beams in various ways between their endpoints.

Here,

The steps below can be used to find x in the equation (16x + 17) = 129°:

To find the term with x on one side of the equation, first subtract 17 from both sides of the equation:

=> 16x + 17 - 17 = 129 - 17

=> 16x = 112

Step 2: To find x, multiply both sides of the equation by 16:

=> 16x / 16 = 112 / 16 x = 7

Thus, x = 7 is the answer to the equation (16x + 17) = 129° for the variable x.

To know more about angles visit:

https://brainly.com/question/14569348

#SPJ1

16^5+16^4 is divisible by 17

Answers

Yes, it is divisible by 17.

Given that,

165 + 161

is divisible by 17.

According to the question,

To determine 165 + 161

is divisible by 17 following all the steps given below.

Rewrite the function and solving,

= 16° + 161

= 16 x 16 x 16 x 16 × 16 + 16 × 16 × 16 × 16 × 16

= 1048576 + 65536

= 68, 719, 476, 736

Therefore,

68, 719, 476, 736
17
= 4, 042, 322, 160.94
Hence, Yes it is divisible by 17.

please help with this question

Answers

Answer:

A-223

B-98

Step-by-step explanation:

A- To find the perimeter of a shape you have to add all the sides together .

Here the only information we get is the length which is 99 and we have to find the width .

To find the width we have to do

332-99

=98m

B-To find the area of a shape you have to do height x width

h x w

but here it gives us the length and the area of it so we would have to divide the two numbers

6468÷66

=98cm²

City Furniture Company operates on an overhead which is 25% of the selling price. If one of their sleeper sofas costs City Furniture $237.85 and the overhead on the sofa is $174.50, find the selling price, the markup, and the net profit.

Answers

Answer: the selling price of the sleeper sofa is $698, the markup is $460.15, and the net profit is $285.65.

Step-by-step explanation: Add up to fetched = fetched + overhead

Add up to fetched = $237.85 + $174.50

Add up to fetched = $412.35

Since the overhead is 25% of the offering cost, we are able utilize this data to discover the offering cost:

Overhead = 0.25 * Offering cost

Offering cost = Overhead / 0.25

Offering cost = $174.50 / 0.25

Offering cost = $698

The markup is the distinction between the offering cost and the taken a toll:

Markup = Offering cost - Fetched

Markup = $698 - $237.85

Markup = $460.15

The net benefit is the markup short the overhead:

Net benefit = Markup - Overhead

Net benefit = $460.15 - $174.50

Net benefit = $285.65

Carol was packing up some of her old stuff into a box. A box can hold 2 pounds, but she only filled it up 1/2 full How much weight was in the box?​

Answers

Answer:

1 pound

Step-by-step explanation:

If a box can hold 2 pounds but is only filled up 1/2 full, then there is only 1 pound of weight in the box.

To see why, consider that if the box was completely full, it would hold 2 pounds. But if it is only half full, it can only hold half of that amount, or 1 pound. Thus, the weight in the box is 1 pound.

the independent variable in either a before/after t or a within subjects f is always of what data scale?the independent variable in either a before/after t or a within subjects f is always of what data scale?

Answers

The independent variable in either a before/after t-test or a within-subjects ANOVA is always measured on a nominal or categorical scale.

This is because these statistical tests are used to compare means of two or more related groups, where the independent variable represents the different conditions or time points in which the dependent variable is measured.

For example, in a before/after t-test comparing the effectiveness of a medication, the independent variable would be the two time points (before and after), which are categorical in nature. Similarly, in a within-subjects ANOVA comparing three different treatment conditions, the independent variable would be the three treatment conditions, which are nominal in nature.

Learn more about statistical tests

https://brainly.com/question/14128303

#SPJ4

Jodi has $4,862.33 in a savings account that will earn 2.99% interest on the principal for
5 years. What is the amount of simple interest that she will earn?

Answers

The amount of simple interest that Jodi will earn is:

I = P*r*t

Where:

P = $4,862.33 (principal)
r = 2.99% (interest rate)
t = 5 years (time)

Plugging in the values, we get:

I = $4,862.33 * 0.0299 * 5
I = $720.31

Therefore, Jodi will earn a simple interest of $720.31.

Question 1 (1 point)
Given parallelogram WXYZ, where WX = 2x + 15, XY = x + 27 and YZ = 4x - 21,
determine the length of ZW, in inches.
The length of ZW=

Answers

The length of ZW is 45 inches.

What is a parallelogram?

A parallelogram is a member of quadrilateral which has a pair of opposite sides to be equal, and a pair of slant opposite sides.

In the given information, we have;

WX = YZ (a pair of opposite side of a parallelogram are equal)

2x + 15 = 4x - 21

collect like terms,

21 + 15 = 4x - 2x

36 = 2x

x = 36/2

x = 18

So that;

WX = 2x + 15

      = 2(18) + 15

WX = 36 + 15

      = 51

XY = x + 27

     = 18 + 27

     = 45

Therefore,

ZW = XY  (a pair of opposite sides are equal)

ZW = 45

The length of ZW is 45 inches.

Learn more about parallelogram at https://brainly.com/question/20526916

#SPJ1

What is an equation of the line that passes through the point ( − 2 , − 2 ) and is parallel to the line 5x − y = 4 ?

Answers

Answer:

(-2,-2)

Step-by-step explanation:

To find the equation of the line that passes through the point (-2,-2) and is parallel to the line 5x - y = 4, we need to first find the slope of the given line. We can rearrange the given equation into slope-intercept form y=5x-4, where the slope is 5.

Since parallel lines have the same slope, the slope of the line we want to find is also 5. We can use the point-slope formula y-y1 = m(x-x1), where m is the slope and (x1,y1) is the given point.

Substituting m=5, x1=-2, and y1=-2, we get:

y-(-2) = 5(x-(-2))

y+2 = 5x+10

y = 5x+8

Therefore, the equation of the line that passes through the point (-2,-2) and is parallel to the

a student has 12 toys. her friend has 2 times as many toys. how many toys do they have together​

Answers

Answer:

Together, they have 12 + 2(12) = 12 + 24 = 36 toys.

Answer:

so in total they have 36 toys

Step-by-step explanation:

The ratio of red counters to green counters in a bag is 3:17. What percentage of the counters are red

Answers

Answer:

0.15%

Step-by-step explanation:

red is 3

the total is 20

percentage of red counters = 3 ÷ 20 = 0.15%

Question 19
By age 65 the number of Americans who experience hearing loss sufficient to affect communication is:
a. 1 in 2
b. 1 in 3
c. 1 in 4
d. 1 in 5

Answers

The number of Americans experience hearing loss sufficient to affect communication is: 1 in 4.

According to the National Institute on Deafness and Other Communication Disorders (NIDCD).

Approximately 1 in 4 adults in the United States aged 65 and older have hearing loss that is sufficient to affect communication.

This is based on data from a survey conducted by the NIDCD and the National Health Interview Survey.

NIDCD (National Institute on Deafness and Other Communication Disorders).

In the United States, 1 in 4 persons 65 and older suffer hearing loss severe enough to impair conversation.

This is based on information from surveys done by the National Health Interview Survey and the NIDCD.

The number of Americans who experience hearing loss sufficient to affect communication is: 1 in 4.

For similar questions on Loss

https://brainly.com/question/26483369

#SPJ11

the following correlation matrix shows the pearson correlations between various baseball pitching related statistics, of which the number of wins (w) is considered to be a criterion measure of pitching performance by a team. which statistic has an inverse relationship with the number of wins?

Answers

To decide which measurement has a reverse relationship with the number of wins, we ought to seek for a relationship coefficient with negative esteem. A negative correlation coefficient shows that as one variable increments, the other variable tends to diminish.

Without seeing the real relationship framework, we cannot point out the precise statistic that has a reverse relationship with the number of wins. In any case, ready to search for the relationship coefficient that features negative esteem.

For illustration, in the event that we have a relationship network like this:

markdown

| W | Period | WHIP | SO/9 | BB/9 |

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

W | 1 | -0.7 | -0.6 | 0.5 | -0.3 |

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

Period | -0.7| 1 | 0.9 | -0.8 | 0.5 |

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

WHIP | -0.6| 0.9 | 1 | -0.7 | 0.4 |

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

SO/9 | 0.5| -0.8 | -0.7 | 1 | -0.4 |

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

BB/9 | -0.3| 0.5 | 0.4 | -0.4 | 1 |

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

We are able to see that the relationship coefficient between the number of wins (W) and the earned run normal (Time) is -0.7, which indicates a strong negative relationship. This implies that as the Time increments (showing poorer pitching execution), the number of wins tends to diminish. Subsequently, Time has a reverse relationship with the number of wins.

To learn about correlation coefficient visit:

https://brainly.com/question/29262313

#SPJ4

How many milliliters is 0.005 L?A) 0.5 mL B) 5 mL C) 0.50 mL D) 0.000005 mL E) 200 mLAns: B Category: Medium Section: 1.9

Answers

After conversion, B) 5 mL is 0.005 L milliliters

The quantity given = 0.005 L

Using a unit conversion, the same property is stated in a different unit of measurement. Minutes can be used to measure time instead of hours, and feet, kilometres, or any other measurement method can be used to measure distance in place of miles.

To convert from litres to millilitres, it is required to multiply the quantity by 1000. This is because there are 1000 millilitres in one litre.

Therefore, converting the given value-

= 0.005 L x 1000 mL/L

= 5

Thus, the resultant value after conversion is 5mL

Read more about milliliters on:

https://brainly.com/question/28920784

#SPJ4

The equation of your model is y=0.16x use your model to predict how many pieces are in the star wars Lego death star set it costs $499.99

Answers

Answer:

Rounding to the nearest whole number, we predict that the Star Wars Lego Death Star set has approximately 80 pieces. However, it's important to note that this prediction is based solely on the given model and may not necessarily reflect the actual number of pieces in the set.

Step-by-step explanation:

The given equation for the model is y = 0.16x, where y represents the number of pieces in a Lego set and x represents the cost of the set in dollars.

To use this model to predict the number of pieces in the Star Wars Lego Death Star set that costs $499.99, we substitute x = 499.99 into the equation and solve for y:

y = 0.16x

y = 0.16(499.99)

y = 79.9984

5
Select the correct answer,
Solve the following inequality for %.
z-9≤2(9)
O A. X=<9
OB. X> =11
OC. x<-7
OD. x<10

Answers

Answer:

1) -4<x<-2

2) x<-7 or x75

3) 2<x<7

4) x<-5 or x<6

5) x<-8 or x74

Step-by-step explanation:

The population of a city has been increasing by 2% annually. The sign shown is from the year 2000.



Write an exponential growth function that represents the population t
years after 2000.

y=

.

What will the population be in 2020? Round your answer to the nearest thousand.

The population will be about
.

Answers

The exponential growth function for the given initial population of the city is y = 315,000 × (1 + 0.02)ⁿ .

And the population increase in the year 2020 is equal to 468000.

Population in the year 2000 = 315,000

Increase in population growth by 2%

The population is increasing by 2% annually, which means the growth rate is 0.02 per year.

The initial population in the year 2000 is 315,000.

An exponential growth function as follows,

y = a ( 1 + r )ⁿ

Where 'a' represents the initial population of the city.

And 'r' represents the rate of the growth of the population.

y = 315,000 × (1 + 0.02)ⁿ

where n is the number of years after 2000 .

And y is the population at that time.

To find the population in the year 2020,

Substitute n = 20 into the equation to get the population in 2020 and solve for y,

y = 315,000 × (1 + 0.02)²⁰

⇒ y = 315,000 × (1.02)²⁰

⇒ y = 315,000 × 1.4860

y ≈ 468073.4

Rounding to the nearest thousand, the population in 2020 will be about 468000.

Therefore, the exponential growth function is y = 315,000 × (1 + 0.02)ⁿ and the population in 2020 is 468000.

Learn more about exponential growth function here

brainly.com/question/26250001

#SPJ1

The above question is incomplete, the complete question is:

The population of a city has been increasing by 2% annually. The sign shown is from the year 2000.

City limit

Brookfield

Population. 315,000

Write an exponential growth function that represents the population t

years after 2000?

y=

What will the population be in 2020? Round your answer to the nearest thousand.

The population will be about

The Central Limit Theorem can also be used to investigate unusual events. An unusual event is one that occurs with a probability of less than ___%

Answers

The Central Limit Theorem can also be used to investigate unusual events. An unusual event is one that occurs with a probability of less than 1%

The Central Limit Theorem can be used to investigate unusual events by calculating the probability of a sample mean being a certain number of standard deviations away from the population mean.

If we assume that the population is normally distributed, then we can use the normal distribution to calculate the probability of observing a sample mean that is a certain number of standard deviations away from the population mean.

An unusual event is typically defined as an event that occurs with a low probability, usually less than 5% or 1%. So, if we observe a sample mean that is more than 2 standard deviations away from the population mean, we can say that this is an unusual event that occurs with a probability of less than 5%. Similarly, if we observe a sample mean that is more than 3 standard deviations away from the population mean, we can say that this is an unusual event that occurs with a probability of less than 1%.

Learn more about Central Limit Theorem here

brainly.com/question/18403552

#SPJ4

with a simple random sample, nobody can game the system to purposefully amplify their answers over that of others because

Answers

With a simple random sample, nobody can game the system to purposefully amplify their answers over that of others because the selection process is random.

With a simple random sample, each participant is selected at random from the population, ensuring that everyone has an equal chance of being selected.

This eliminates any potential bias or manipulation, as no one can control or influence the selection process. Additionally, the sample size can be increased to amplify the accuracy and representativeness of the data collected. Therefore, a simple random sample is a reliable method for gathering unbiased data.

With a simple random sample, nobody can game the system to purposefully amplify their answers over that of others because the selection process is random.

This means that each individual or element in the population has an equal chance of being chosen, ensuring unbiased and representative sample results.

To know more about unbiased data: brainly.com/question/16910780

#SPJ11

With a simple random sample, nobody can game the system to purposefully amplify their answers over that of others because the selection process is random.

With a simple random sample, each participant is selected at random from the population, ensuring that everyone has an equal chance of being selected.

This eliminates any potential bias or manipulation, as no one can control or influence the selection process. Additionally, the sample size can be increased to amplify the accuracy and representativeness of the data collected. Therefore, a simple random sample is a reliable method for gathering unbiased data.

With a simple random sample, nobody can game the system to purposefully amplify their answers over that of others because the selection process is random.

This means that each individual or element in the population has an equal chance of being chosen, ensuring unbiased and representative sample results.

To know more about unbiased data:

brainly.com/question/1691078

#SPJ4

a study is to be made to estimate the percent- age of citizens in a town who favor having their water fluoridated. how large a sample is needed if one wishes to be at least 95% confident that the estimate is within 1% of the true percentage?

Answers

A sample size of approximately 9604 citizens is needed to achieve at least 95% confidence that the estimate is within 1% of the true percentage.

To determine the sample size needed for a study to estimate the percentage of citizens in a town who favor water fluoridation with 95% confidence and a margin of error within 1%, you can use the following formula:

Sample Size (n) = ([tex]z^{2}[/tex] * P * (1-P)) / [tex]E^{2}[/tex]

where:
Z = 1.96 (the Z-score corresponding to a 95% confidence level)
P = estimated proportion of the population (use 0.5 if no prior knowledge)
E = margin of error (0.01 for 1%)

Plugging the values into the formula:

n = ([tex]1.96^{2}[/tex] * 0.5 * (1-0.5)) / [tex]0.01^{2}[/tex]
n = (3.8416 * 0.5 * 0.5) / 0.0001
n = 0.9604 / 0.0001
n ≈ 9604

Therefore, a sample size of approximately 9604 citizens is needed to achieve at least 95% confidence that the estimate is within 1% of the true percentage.

Know more about   sample size   here:

https://brainly.com/question/30647570

#SPJ11

Other Questions
what statement was true about the english and french coloniesA) Both colonies encouraged religious freedomB) Both countries had urban populations who moved to the colonies C) Neither nation wanted the colonists to run their own colonies D) New France had a smaller population On average, people with which Big Five personality trait tend to be the most satisfied at their job?extraversionneuroticismopenness to experienceconscientiousness The final step requires _______________ , where the fecal matter is excreted from the body. state the modal numbers1,2,3,4,5,6,7 A uniform beam of length and mass is inclined at an angle to the horizontal. Itsupper end is connected to a wall by a rope, and its lower end rests on a rough, horizontal surface.Assume the angle is such that the static friction force between the beam and the surface is at itsmaximum value. Determine what statement is true. There may be more than one answer.a. The static frictional force relative to the pivot point does not exert a torque on the beam.b. The torque produced by the gravitational force relative to the pivot point is equal to = sin /2.c. The torque produced by the tension force relative to the pivot point is equal to = sin where is the magnitude of the tension force.d. If the angle were reduced from its present value, the magnitude of the tension force mustdecrease in order to restore static equilibrium.e. The coefficient of state friction must equal = /, where is the magnitude of thetension force Which is a cause for diastolic dysfunction for a patient diagnosed with heart failure?Contraction difficultyLeft ventricle hypertrophyElevated demands on the heartImpaired venous return to the heart What type of chemical bond is found between the atoms in molecular oxygen (O2)? the speed of conduction of an action potential is determined by: (choose all that apply!) do you consider your self a good listener? why or why not?(Im not a good listener) Justify all answers!6.- If the central bank buys 1000 bonds in the open market and we assume a reserve-deposit ratio of 20% and an effective-deposit ratio of 10%, the operation Will translate into a decrease in the monetary base of 3367, Will certain? Justify Solve for x 225 times 1/3=x Question 30Regulations regarding automobile emission standards began with automobiles manufactured in:a. 1958b. 1963c. 1968d. 1973 Nien decides not to rob a backpack from an open locker at school because he feels that "good people" don't steal. Nien is operating at Kohlberg's _____ level of moral reasoning. Seeing society as a social creation rather than an objective reality is part of ____. Match each Middle English line to its modern English translation.The holy blisful martir for to sekeAnd specially, from every shires endeOf Engelond, to Caunterbury they wendeThat hem hath holpen, whan that they weresekeWho gave his help to them when they weresickThe holy blessed martyr there to seekOf England, to Canterbury they comeAnd most especially, from all the shires Mrs. Matthews gave a test to her 120 sciencestudents. If she gives 5 bonus points to eachtest grade, how will this affect the mean,median, and mode scores? Question 45 Marks: 1 Adequate light is essential for proper operation, maintenance, and sanitation. A minimum of ______ is recommended on food work surfaces.Choose one answer. a. 5-foot candles b. 20-foot candles c. 30-foot candles d. 50-foot candles Funds are demanded and supplied in the: A) money market. B) goods and services market. C) labor market. D) transfer market. Question 31 Marks: 1 The rate of filtration should be ______ for a diatomite filter.Choose one answer. a. 15 to 20 gpm/ft2 b. 3 to 5 gpm/ft2 c. 1 to 2 gpm/ft2 d. 3 gpm/ft2 Suppose a charity received a donation of 29.9 million. If this represents 43% of the charity's donated funds, what is the total amount of its donated funds?