The city of Gainesville is trying to determine the average price for a gallon of gas. They randomly sampled 28 gas stations and found the sample mean to be $2.58 with a standard deviation of $0.09. Assume that all of the assumptions are met. Calculate a 95% confidence interval for the population mean gas price in Gainesville.

Answers

Answer 1

Answer:

The 95% confidence interval for the population mean gas price in Gainesville is between $2.54 and $2.62.

Step-by-step explanation:

We have the standard deviation of the sample, so we use the t-distribution to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 28 - 1 = 27

95% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 27 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.95}{2} = 0.975[/tex]. So we have T = 2.0.52

The margin of error is:

[tex]M = T\frac{s}{\sqrt{n}} = 2.052\frac{0.09}{\sqrt{27}} = 0.04[/tex]

In which s is the standard deviation of the sample and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is $2.58 - $0.04 = $2.54

The upper end of the interval is the sample mean added to M. So it is $2.58 + $0.04 = $2.62.

The 95% confidence interval for the population mean gas price in Gainesville is between $2.54 and $2.62.


Related Questions

x + 26 = 39; x =



I NEED HELP !!

Answers

13

step by step explanation: subtract 26 on each side and u get 13


hope this helps

Answer:

x=13

i accadently put 36, but you can still see how it happend

Step-by-step explanation:

Think bout brainliest thank you

apriquide Rd
.) Travis is planning to ride at a constant speed during an upcoming bike trip. He wants to know
how many miles he will ride after different numbers of hours.
c) Plot two points that show how far Travis
will ride after 3 hours and after 4 hours.

Answers

Answer:

3 times 30 miles and 4 times 40 miles

Step-by-step explanation:

Travis will ride at a distance of 30 miles after 3 hours and at a distance of 40 miles after 4 hours.

What is Speed?

Speed is the unit rate in terms of distance travelled by an object and the time taken to travel the distance.

Speed is a scalar quantity as it only has magnitude and no direction.

Given that,

Travis is planning to ride at a constant speed during an upcoming bike trip.

This implies that the slope of the graph will be a constant.

So the graph will be a straight line.

We have two points on the graph (1, 10) and (2, 20).

The starting point will be (0, 0).

Slope = (20 - 10) / (2 - 1) = 10

So the equation of the line is y = 10x.

When x = 3 hours, y = 30 miles

When x = 4 hours, y = 40 miles

Hence the points has to be marked at (3, 30) and (4, 40).

Learn more about Speed and Slope here :

https://brainly.com/question/13281781

#SPJ2

The complete question with the graph is given below.

3. Mandy obtains a $155,000 20/6 balloon mortgage with a rate of 4.25%. What will her monthly payments be? (2 points)

O $959.81

O $1044.46

O $1110.47

$1225.74

Answers

Answer:

$279.98

Step-by-step explanation:

A 20/6 balloon payment means loan amortization is for 20 years and constant payments is for 6 years after which balloon payment is due.

The formula to calculate her constant payments based on a 15 year amortization plan is

A= P × r × r(1+r)^n/(1+r)^n-1

Where A = constant monthly payments for the 6 year period

r= interest rate

P= mortgage value loan

n= number of months =20×12=240 payments

Substitute values in the formula:

A= $155000× 0.0425×0.0425(1+0.0425)^240/(1+0.0425)^240-1

A= $279.98

To calculate what she would pay before balloon payment is due, we simply multiply her monthly payments $279.98 by number of payments 240

Express the distance between the given numbers using absolute value. Then find the distance by evaluating the absolute value expression. 88 and -92

Answers

Answer:

The distance between them is 180 units

Step-by-step explanation:

Given

[tex]a = 88[/tex]

[tex]b = -92[/tex]

Required

Using absolute value, calculate the distance between them

The distance d is calculated as:

[tex]d = |b - a|[/tex]

Substitute values for a and b

[tex]d = |-92 - 88|[/tex]

[tex]d = |-180|[/tex]

[tex]d = 180[/tex]

It can also be calculated using:

[tex]d = |a - b|[/tex]

Substitute values for a and b

[tex]d = |88 - (-92)|[/tex]

Open bracket

[tex]d = |88 +92|[/tex]

[tex]d = |180|[/tex]

[tex]d = 180[/tex]

Which expressions are equivalent to the expression below?
-1/3 - (-4 + 1/6)

Select all that apply.

Answers

Step-by-step explanation:

(-2/6)+(24-1/6)

-2+23/6

21/6

According to recent UN figures, the annual gun homicide rate is 62.4 per one million residents in the US and 1.3 per one million residents in Britain. Compare the proportion of residents killed annually by guns using the (a) difference of proportions, (b) relative risk. Which measure is more useful for describing the strength of association

Answers

Answer:

[tex]P_D=61.1*10^{-4}[/tex]

[tex]R_r=480[/tex]

Step-by-step explanation:

From the question we are told that

Homicide rate in US [tex]R_U=62.4\ per\ one\ million[/tex]

Homicide rate in Britain [tex]R_B=1.3\ per\ one\ million[/tex]

Generally the equation for probability of homicide is mathematically given as

[tex]P=\frac{R}{10^6}[/tex]

Generally the equation for probability of homicide in US is mathematically given as

[tex]P_U=\frac{62.4}{10^6}[/tex]

[tex]P_U=62.4*10^{-4}[/tex]

Generally the equation for probability of homicide in Britain is mathematically given as

[tex]P_B=\frac{1.3}{10^6}[/tex]

[tex]P_B=1.3*10^{-5}[/tex]

a)Generally the difference b/w the probabilities P_D is mathematically given as

[tex]P_D=P_U-P_B[/tex]

[tex]P_D=62.4*10^{-4}-1.3*10^{-5}[/tex]

[tex]P_D=61.1*10^{-4}[/tex]

Therefore US annual homicide is [tex]P_D=61.1*10^{-4}[/tex] greater than Britain's

b)Generally the Relative risk is R_r is mathematically given as

[tex]R_r=\frac{P_U}{P_B}[/tex]

[tex]R_r=\frac{62.4*10^{-4}}{1.3*10^{-5}}[/tex]

[tex]R_r=480[/tex]

The formula F = 1.8C + 32 is used to convert temperatures from degrees Celsius, °C, to degrees Fahrenheit, °F. Find the temperature in degrees Fahrenheit that is equivalent to 20°C

Answers

Answer:

68F

Step-by-step explanation:

Given data

The formula F = 1.8C + 32

we want to find F for C= 20°C

Substitute into the formula we have'

F = 1.8(20) + 32

F=36+32

F=68

Hence the value of 20°C in Fahrenheit is 68F

An online shopping club has 10,000 members when it charges $7 per month for membership. For each $1 monthly
increase in membership fee, the club loses approximately 400 of its existing members. Write and simplify a function
R to represent the monthly revenue received by the club when x represents the price increase.

Answers

Answer:

The function that can be used in the online shopping club about its monthly revenue is:

[tex]R = -400x^{2} +7200x+70000[/tex]

Step-by-step explanation:

First, we're gonna take into account the different values we have in the exercise:

10,000 members$7 per month for membershipLoses of 400 members by each $1 monthly increase

How the variable [tex]x[/tex] represents the price increase, we can do the formula below:

[tex](10000 - 400x) * (7+x)[/tex]

In this formula, we represent in the first part that by each 1 in the variable [tex]x[/tex], the total of members will be reduced in 400, in the second part, we mention that at the same time, the membership fee will be increased in the same value of [tex]x[/tex]. Now we must simplify this function:

[tex](10000 - 400x) * (7+x)[/tex]

We operate the values:

[tex]70000+10000x-2800x-400x^{2}[/tex]

Solve we can:

[tex]70000+7200x-400x^{2}[/tex]

And organize:

[tex]-400x^{2} +7200x+70000[/tex]

At the end, how [tex]R[/tex] represents the monthly revenue received by the club, we use that variable for our formula:

[tex]R=-400x^{2} +7200x+70000[/tex]

#1
Ben and Irene shared an apple. Ben ate 3/4of the apple
and Irene ate 1/4
of the apple.
How much of the apple did Ben and Irene eat?

Answers

Answer:

all of it. because he ate 3/4 and she ate 1/4

Answer:4/4 of the apple

Step-by-step explanation: Ben ate  3/4 of the apple and Irene ate 1/4 parts of the apple what is 1 + 3 =4 and there are 4 part of the apple so 4 is how much they ate and 4 is how much there is to eat so it would be 4/4

(sorry if this does'nt help)

Need this turned in by tonight. Solving for x. My brain is fried, I have been doing math for the last 4 hour.Help!!!!!

Answers

Answer:

18. x = 24.519. x = 421. x = 10

Step-by-step explanation:

Corresponding sides have same ratio

Q18

7/6 = x / (27- 6)6x = 7*21x = 147/6x = 24.5

Q19

(x + 5)/15 = (5x + 1)/35(x + 5)/3 = (5x + 1)/77(x + 5) = 3(5x + 1)7x + 35 = 15x + 315x - 7x = 35 - 38x = 32x = 4

Q21

(x + 6)/24 = (2x - 2)/27(x + 6)/8 = (2x - 2)/98(2x - 2) = 9(x + 6)16x - 16 = 9x + 5416x - 9x = 54 + 167x = 70x = 10

PLEASE HELP 22 POINTS

Answers

Answer:

y = 15 m<a = 78 m<b = 68

Step-by-step explanation:

(5y+3) + (4y+8) --> 9y + 11

9y + 11 = 146

y = 15

plug in 15 into the equations for the angles and you get

m<a = 78

m<b = 68

which of the following is equivalent to 3(5+2i)-2(3-6i)^2

Answers

Umm im not sure maby like 1+1 or sum

Answer:

can u show me which following?

Step-by-step explanation:

show like (a, (b or something like that because it says *following and i think that it should have something like that ;-;

A club’s first meeting was attended by 72 people. Nine times as many people went to the first meeting than the second meeting. How many people attended the second meeting?

Answers

Answer:

8 people attended the second meeting.

Step-by-step explanation:

Given that:

Number of people who attended the first meeting = 72

Let,

x be the number of people who attended second meeting.

9 times people of second meeting = Number of people who attended first meeting

9x = 72

Dividing both sides by 9

[tex]\frac{9x}{9}=\frac{72}{9}\\x=8[/tex]

Hence,

8 people attended the second meeting.

0p
2. Milk is on sale for 45 % off when it is normally $3.75 per gallon. How much will a gallon of milk cost?
O $1.69
$2.06
$2.05
$2.10

Answers

Answer:

A-$1.69

Step-by-step explanation:

45% of 3.75 is 1.6875

1.6875 needs to be rounded to the nearest hundredth

So it would make 1.68

Answer:

2.05

Step-by-step explanation:

x/3.75=45/100 cross multiply. x= about $1.7 but that's not the answer. to find the amount a gallon of milk costs, subtract 3.75 by 1.7, which gives you 2.05.

I don’t get this please solve it please

Answers

Answer:

g=15.04

Step-by-step explanation:

g=4.7×3.2=15.04

Answer:

g/=15.03

Step-by-step explanation:

i hope it's correct in sorry if not

help please i’ll try to give brainliest:)

Answers

9514 1404 393

Answer:

  108

Step-by-step explanation:

The circumference of a circle is given by ...

  C = 2πr

The circle shown has a radius of 9 in, so the circumference is ...

  C = 2π(9 in) = 18π in

__

When the circle is dilated by a factor of 6, the circumference is multiplied by 6. It becomes ...

  dilated C = 6(18π in) = 108π in

The multiplier of π inches is n = 108.

7) You buy a new car for $25,000 and it begins
to depreciate value as soon as you drive it off
the lot. The car depreciates at an annual rate
of 7%. Write an exponential equation that
shows what is happening to the value of the
car over time.

Answers

Answer:

y=25,000(0.07)^t

Step-by-step explanation: t= year/month. not specified, but year is most appropriate for these kind of equations.


A town with a population of 5,000 grows 3% per year. Find the population at the end of
10 years.

Answers

Answer:

6,500

Step-by-step explanation:

5000x.03=150

150=3%

150x10=1500

1,500+5,000= 6,500

find
the value of :
sin 0° + cos 0° + tan 45°​

Answers

Answer:

this is easy

Step-by-step explanation:

sin 0 is 0

cos 0 is 1

tan 45 is 1

so ...

0+1+1 is 2

The demand d for a company’s product at cost x is predicted by the function

d(x) = 1200 – 8. The price p in dollars that the company can charge for the product

is given by p(x) = 2 + 1. Use the formula Revenue = price × demand to find the

revenue function for the product, in terms of price x

Answers

Answer:

[tex]R(x) = - 16x^2+2392x + 1200[/tex]

Step-by-step explanation:

Given

[tex]d(x) = 1200 - 8x[/tex]

[tex]p(x) = 2x + 1[/tex]

Required

Find R(x)

We have that:

[tex]R(x) = d(x).p(x)[/tex]

This gives:

[tex]R(x) = (1200 - 8x) * (2x + 1)[/tex]

Expand

[tex]R(x) = 1200* (2x + 1) - 8x* (2x + 1)[/tex]

Open brackets

[tex]R(x) = 2400x + 1200 - 16x^2 -8x[/tex]

Collect Like Terms

[tex]R(x) = - 16x^2 -8x+2400x + 1200[/tex]

[tex]R(x) = - 16x^2+2392x + 1200[/tex]

Solve
7W + 3 = 5W + 9

Answers

7w + 3 = 5w + 9


Step 1:

Get the 3 to the other side by subtracting

7w = 5w + 6


Step 2:

Get the 5w to the other side by subtracting

2w = 6


Step 3

Divide

6/2 = 3

Answer is 3

Answer:

W = 3

Step-by-step explanation:

7W + 3 = 5W + 9.

Get all the varibles onto one side, and get all the integers onto the other side, we get:

7W - 5W = 9 - 3.

Simplifing, we get:

2W = 6

W = 3.

3 ÷ 1/8 show your work on paper! :D

Answers

Answer:

24

Step-by-step explanation:

3 : 1/8 = 3/1 · 8/1 = 3 · 8/1 · 1 = 24/1 = 24

Hope this helped!

A line with a positive slope will go up and to the right on the graph. True false

Answers

Answer:

True

Step-by-step explanation:

Let's say the slope of an equation is 3/2. You move the point by moving it up by three and moving it to the right by two or moving it down by 3 and moving it to the left by two.

If the equation was - 3/2. You would move the point by moving it up by three and moving it to the left by two or moving it down by three and moving it the right by two.

WILL MARK BRAINLIEST! THANK YOUUUU
An equilateral triangle has a side length of 40.

Another side of the same triangle measures 3x​ + y.
The third side of the same triangle measures 4x​ - 2y.
What are the values of x and y that would keep the triangle​ equilateral?

Answers

Answer:

x=12, y=4

Step-by-step explanation:

All the sides are the same length.

3x+y = 40

4x-2y = 40

Eliminate y terms: divide second equation by 2 and add to first equation

2x-y = 20

3x+y = 40

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

5x = 60

x = 12

y = 40-3x = 4

Answer:

We know that all sides of the equilateral triangle is equal.

Given :---

An equilateral triangle has a side length of 40.

Another side of the same triangle measures

3x + y.

The third side of the same triangle measures

4x - 2y.

According to the above problem, the equation are

3x+y=40........(i) and 4x-2y=40.........(ii)

Divide the equation (ii) by 2, we get

2x-y=20..........(iii)

Now solving for x and y we get,

3x+y=40.......(i)

2x-y=20........(iii)

5x =60

x=60/5

x=12

Putting the value of x in equation in equation (iii) we get

24-y=20

y=24-20

y=4

The values of x and y that would keep the triangle equilateral are 12 and 4 respectively.

Hence, the value of x is 12 and y is 4.

PLEASE ASAP 829283+749294(284+64304)-639562=

Answers

Answer:

use the calculator by doing this types of question

Answer:

48395590593

Step-by-step explanation:

calculator

write an equation of a line in point slope form that has a slope of 1/4 and passes through the point (-1, -8)

Answers

Point-slope formula: y-y1=m(x-x1)

To fill it in, m is our slope, 1/4. y1 is -8 and x1 is -1.

y+8= 1/4(x+1) This is the formula filled in. If you noticed, the (-) signs that were in the formula changed to (+). This is because (- -) can be changed into (+).

y+8=1/4x+0.25

y=1/4x+8.25

Your answer is y=1/4x+8.25

I hope this was helpful :) please consider giving me brainliest

Ssssssssssssssssssssssssssssssssssssssssssssssssss

Answers

For my screen I can’t see it...it’s blurry

Scottie is testing to see if people who go to a lot of movies do better than average on the Verbal SAT (which has a mean of 500 and a standard deviation of 100 and is normally distributed). She has a sample of six people. What kind of hypothesis testing do we use

Answers

Answer:

The kind of hypothesis testing we can use is z-test for means

Step-by-step explanation:

Given that;

sample mean x" = 500

standard deviation σ = 100

sample size n = 6

What kind of hypothesis testing do we use?

There are two cases where z-test can be use;

first, when we know the population standard deviation or variance

and secondly, when the population size is more than 30.

So from the question, the population standard deviation was given, which is 100.

Since we know the S.D, it meets the first condition.

Therefore, The kind of hypothesis testing we can use is z-test for means

Graphs that represent situations that may not have numerical values are Called?

Answers

Qualitative graphs.

There are 7 girls and 10 boys taking lifeguard lessons. Write the ratio that compares the number of girls taking lifeguard lessons to the total number of students taking lifeguard lessons

Answers

Answer:

7 to 10 or 70%

Step-by-step explanation:

Other Questions
Can someone explain the process of getting to Angle A? I know the answer is 44.1 but I need to show my work so can someone show me the process of getting the answer and please explain! Thank you!! Help pleaseItem 4Look at the definitions of these word parts.im- notpregn from the Latin root prehendere, meaning "to seize"-able able to do somethingBased on these word parts, what is the definition of impregnable?difficult to hold or securedifficult to attack or destroydifficult to break or injuredifficult to understand or foretell Which of the following statements describes how the Punic Wars contributed to the development of the Roman Empire?A. They allowed the Romans to focus more on expanding into the Western Mediterranean.B. They resulted in the overthrow of the Roman Republic and establishment of the Empire.C. They marked the end of Roman expansion in the Mediterranean region.D. They forced the Romans to reorganize their government with an emperor as ruler. Savannah is making a quilt with squares that have side lengths of 15/16 foot each. Are the side lengths of the squares closer to 1/2 foot or 1 foot long? Pls!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! a gene carries the __ for a trait 2(8 +0.5) + 2(5 +1.5) como es la tierra redonda o plana? Writers develop the setting in their stories to help develop the themes, characters, mood, or tone in a narrative. A well-developed setting creates a vivid world for the reader to enter. Setting consists of:TimePlaceCultureBased on the text features and visual cues in this example, what is the main focus of the page? William spent $132.75 on books, including the shipping fee , that he orderd from an online company. each book cost $4.75. how many books did william buy.A.33 B.32 C.15 D.34 Working to ensure that women get paid the same as a man for the same work is an example of? Social dysfunction, soical conflict, social justice, or social engineering? Solve the following system of equations by graphing.y = -1/2 - 1y = x - 4 Which of the following is the best example of a social bond? A. Fellow citizens B. Close friendships C. Sports teams D. Online interests Why was the fact that George Washington was elected unanimously so important?It meant that he had voted for himself.It was unique, and it indicated how much respect and popularity he had gained.It meant that he would be president forever.It paved the way for other unanimous elections. An important effect of Islamic expansion in the 700s CE on the civilization of Europe in the Middle Ages was that it Describe the position of the sun, moon, and earth during a new moon and a full moon.During a new moon, (erase this and insert your answer describing how the earth, moon, and sun are aligned).During a full moon (erase this and insert your answer describing how the earth, moon, and sun are aligned).Why do we experience the different phases of the moon?We experience the different phases of the moon because While reviewing for exams, a teacher knows that the number of topics he can cover is directly proportional to the length of time he has to review. If he can cover 9 topics in a single 45-minute period, how many topics can he cover in a 1-hour period? PLS HELP omg im gonna fail :') Is a credit of $55 negative or positive ? Kostelnik Corporation uses a job-order costing system with a single plantwide predetermined overhead rate based on machine-hours. The company based its predetermined overhead rate for the current year on total fixed manufacturing overhead cost of $555,000, variable manufacturing overhead of $2.10 per machine-hour, and 74,000 machine-hours. The company has provided the following data concerning Job A496 which was recently completed:Number of units in the job 20Total machine hours 80Direct materials $500Direct labor cost $2,160The amount of overhead applied to job A496 is closes to____.A) $1,256.B) $632.C) $944.D) $312.