An economist studying fuel costs wants to estimate the mean price of gasoline in her state on a certain day. On that day, she takes an SRS of 121212 gas stations and finds the sample mean price (in dollars per gallon) is \bar x=\$2.29 x ˉ =$2.29x, with, \bar, on top, equals, dollar sign, 2, point, 29 with a standard deviation of s_x=\$0.20s x ​ =$0.20s, start subscript, x, end subscript, equals, dollar sign, 0, point, 20. The prices in the sample are roughly symmetric with no distinct outliers. Based on this sample, which of the following is closest to a 90\%90%90, percent confidence interval for the mean price of gasoline that day in her state?

Answers

Answer 1

Answer:

($2.19,$2.39)

Step-by-step explanation:

khan

Answer 2

Based on this sample, the confidence interval which is closest to a 90%, for the mean price of gasoline that day in her state is ($2.19, $2.39).

What is random sample?

Random sample is the way to choose a number or sample in such a manner that each of the sample of the group has an equal probability to be chosen.

When the sample size is less than 30, the formula which is used is,

[tex]\overline x\pm t.\dfrac{s}{\sqrt n}[/tex]

Here, n is the sample size, [tex]\overline x[/tex] is the sample mean, s is the standard deviation.

Economist, takes an SRS of 12 gas stations. The sample size for the given problem is 12,

[tex]n=12[/tex]

Thus, degree of freedom,

[tex]df=12-1\\df=11[/tex]

In the t table, for df 11, the value of t is 1.796.

An economist studying fuel costs wants to estimate the mean price of gasoline in her state on a certain day.

On that day, she takes an SRS of 12 gas stations and finds the sample mean price (in dollars per gallon) is,

[tex]\bar x=2.29[/tex]

With a standard deviation of

[tex]s_x=0.20[/tex]

Put the values in the above formula,

[tex]2.29\pm 1.796.\dfrac{0.20}{\sqrt 12}\\2.29\pm 0.1037\\2.29+0.1037=2.3937\\2.29- 0.1037=2.1863[/tex]

Thus, based on this sample, the confidence interval which is closest to a 90%, for the mean price of gasoline that day in her state is ($2.19, $2.39).

Learn more about the random sample here;

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Related Questions

How can I find the dimensions that equal 36?​

Answers

Answer:

The dimensions that equal 36 can be a rectangle, based off the length and width within cm, the length will equal to 9 and width will equal to 18

Explanation:

Let the length of the rectangle be L and the width be W. The perimeter of a rectangle is 2(L + W) = 36

=> W = 18 - L

In need help with this thx

Answers

Answer: the answer is 21√10

Step-by-step explanation:

√ 3 ( 7 √ 3 )

√3 ×12.12435565

21

George visits a store to buy 2 flash drives. They are priced at $28 each. How much does he need to spend on his purchase?

Answers

If George needs to buy 2 flash drives and they are $28 each then he needs to spend a total of $56 on his purchase.

$28x2=$56
or
$28+$28=$56

After running
7/8 mile in a horse race, a horse ran an additional 3/8 mile to cool down. How far did the horse run altogether?

Answers

Answer:

1 2/8 (simplified 1/4)

Step-by-step explanation:

Well indicating that you have to add

7/8+3/8

7+3= 10

don't add the bottom numbers

10/8 simplify that

1 2/8

simplify

2/8, which is 1/4

Gives you the answer of

1 1/4

Answer:

1 1/4

Step-by-step explanation:

[tex]\frac{7}{8}+\frac{3}{8} = \frac{10}{8}= 1\frac{2}{8}divided by 2 = 1\frac{1}{4}[/tex]

HELP NEEDED!
Ms. Dingemans bought 24 chocolate cookies and 32 vanilla cookies.
She wants to organize her cookies in identical boxes for a party. She wants to use all of her cookies.
What is the greatest number of boxes that Ms. Dingemans can use to organize all the cookies?
Explain using a diagram.

Answers

Answer:

56

Step-by-step explanation:

Please help!!
Which number is greater?
a)The square root of 64
b) The square root of 16

Answers

Answer:

Neither, they are both equal.

Step-by-step explanation:

FYI, that three in front of the radical in the first expression is actually cube root. The cube root of 64 is 4, and the square root of 16 is 4.

[tex]\sqrt[3]{64} =4\\\sqrt{16}=4\\4=4[/tex]

[tex]\huge\text{Hey there!}[/tex]

[tex]\huge\textsf{Option A }\huge\boxed {\downarrow}[/tex]

[tex]\huge\boxed{\rm{\sqrt[3]{64}}}}\\\huge\boxed{= \rm{\sqrt[3]{4^3}}}}\\\huge\boxed{= \rm{\sqrt[3]{4\times4 \times4}}}\\\huge\boxed{\rm{\rightarrow \sqrt{64}= 8, \ because \ 8\times8 = \bf 64}}\\\huge\boxed{\rm{{= \dfrac{8}{2}\rightarrow 8\div 2 \rightarrow \bf 4}}}[/tex]

[tex]\huge\boxed{\textsf{Option A.) answer: \bf 4}}[/tex]

[tex]\huge\textsf{Possible Option A. part II }\huge\boxed\downarrow[/tex]

[tex]\huge\boxed{\rm{\sqrt{64} = \sqrt{8\times8}= \bf 8}}\\\huge\boxed{\text{Possible answer for Option A. part II: \bf 8}}[/tex]

[tex]\huge\textsf{Option B }\huge\boxed\downarrow[/tex]

[tex]\huge\boxed{\rm{\sqrt{16}}}\\\huge\boxed{\rm{= \sqrt{4\times4}}}\\\huge\boxed{\rm{= \sqrt{16} \rightarrow \bold{4}\rightarrow 4\times4 \rightarrow \bf 16}}[/tex]

[tex]\huge\boxed{\textsf{Option B.) answer: \bf 4}}[/tex]

[tex]\huge\boxed{{\textsf{Based on the given information \boxed{\textsf{\bf NEITHER}} is}}}\\\huge\boxed{\textsf{the answer because it seems reasonable \& both}}\\\huge\boxed{\textsf{choices are very much equivalent to each other}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Which of the following is the solution to the equation 5/6 x= -1/6?

-1/5
1/5
-5
5

Answers

-1/5, multiply 6/5 on both sides to cancel the 5/6, 6/5 times -1/6 = -6/30 = -1/5

solve using zero product property
(2x + 4) (x-3)=0​

Answers

Answer:

x=-2 or x=3

Step-by-step explanation:

2(-2)+4=0

3-3=0

Summarize Rotational Symmetry in your own words.

Answers

Answer:

a pattern that we can turn a pattern by some degree about a point and the pattern looks exactly the same

Step-by-step explanation:

Many geometrical shapes appear to be symmetrical when they are rotated 180 degrees or with some angles, clockwise or anticlockwise

The circle graph below shows the results of a survey. Of those surveyed, 20 said no. About how many people were surveyed?

Answers

Answer:

50 people

Step-by-step explanation:

20 / .4 = 50

if 40% = 20

then 20% = 10

therefore 60% = 20% *3

60% = 10 * 3

60% = 30 people

hope this helps

1 cup of mango and 3 cups of strawberries. And 2 cups of mango and 6 cups of strawberries are they equivalent

Answers

Answer:

Yes

Step-by-step explanation:

First off, let's use an example with the same equivalence:

[tex]\frac{12}{36} =\frac{16}{48}[/tex]

If you divide the denominator by the numerator you have to get 3, otherwise, it's not equivalent.

The constant of proportionality between the denominator and the numerator, if we use x and y, is:

[tex]y=3x[/tex]

So, just like the example and explanation I used, 3 divided 1 is 3 and 6 divided by 2 is 3.

Answer:

Yes, the 2 cups of mango and 6 cups of strawberries are equivalent.

Step-by-step explanation:

The question is based on ratios. Ratios are basically the quantitative relation between two amounts showing the number of times one value contains or is contained within the other. In this instance, you're altering the quantity by 2. So the 1 cup of mangoes becomes 2 cups of mangoes and the 3 cups of strawberries becomes 6 cups.

Another example of this could be:

In the store, for every 1 man there are 4 women. So if you change the amount of men in the store from 1 to 2, the quantity of women would go from 4 to 8.


(a) Rowena buys and sells clothes.
(1) She buys a jacket for $40 and sells it for $45.40.
Calculate the percentage profit

Answers

Answer:0.054%
Explanation: I’m sorry if I’m wrong

Which point is on the line that passes through (0,6) and is parallel to the given line

Answers

Answer:

d) (6, 0)

Step-by-step explanation:

y = -2/12 = -1/6x - 4 = y

New line = y = -1/6x + 6

Plug and test!

0 = -1/6(6) + 6

0 does indeed equal 0

Write the equation of the line that passes through the given points. (-1. -1.5) and (0, – 3.5)

Answers

Answer (in slope-intercept form): y = -2x - 3.5

Solving:
Slope can be found using the change in y over the change in x, or the “rise over run”.
-3.5 - -1.5 = -3.5 + 1.5 = -2
0 - -1 = 0 + 1 = 1
Slope (m) = -2/1 or -2

Since the second point’s x-coordinate is zero, that means its y-coordinate is the y-intercept.
Y-intercept (b) = -3.5

Slope-intercept equation: y = mx + b
So: y = -2x - 3.5

Write three numbers that round to 400,000 when rounded to the nearest 100,000

Answers

Answer: 397,825  390,000   350,000

Step-by-step explanation: Numbers must be above 350,000 because it was rounded up to 400,000.

2x+5+6x^2-4x+3x^4-6x^2+4x^4+7x

Answers

The answer is: 7x^4+5x+5


PLEASE ANSWER I WILL GIVE A BRAINLIEST ANS THANKS!!!!<333!

Answers

Answer:

17. i

18. a

19. g

20. d

21. h

22. j

23. b

24. f

25. c

26. e

How to solve 35 divided 10?​

Answers

Answer:

Here we will show you step-by-step with detailed explanation how to calculate 35 divided by 10 using long division.

Before you continue, note that in the problem 35 divided by 10, the numbers are defined as follows:

35 = dividend

10 = divisor

Step-by-step explanation:

ywy

The solution to the expression 35 divided by 10 is 3.5

Given data:

The first number is represented as p.

The value of p = 35

The second number is represented as q.

The value of q = 10

Now, the expression is 35 divided by 10

So, [tex]A=\frac{p}{q}[/tex]

To solve 35 divided by 10, yu perform the division operation as follows:

Divide 35 by 10:

35 ÷ 10 = 3.5

Hence, 35 divided by 10 equals 3.5.

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Leila runs at 12 miles per hour. Find the number of miles she can travel if she runs for k less than 6 hours.

Answers

Distance is the product of speed and time. Hence, the distance covered by Leika is 12k - 72 miles.

Given that :

Speed = 12 miles per hour Run Time = k - 6

Recall :

Distance traveled = Speed × time

Distance covered by Leila can be calculated thus :

Distance = 12 × (k - 6)

Distance = 12k - 72

Therefore, the distance covered by Leila is 12k - 72 miles.

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For the time k less than 6 hours, the distance that Leila travel is less than 72 miles.

The given parameters;

speed of Leila, v = 12 miles per hourtime of motion of Leila = k < 6 hours

The maximum distance that Leila can travel in a time less than 6 hours is calculated as follows;

Distance < speed x time

Distance < 12 mph x 6 hours

Distance < 72 miles

Thus, for the time k less than 6 hours, the distance that Leila travel is less than 72 miles.

Learn more here:https://brainly.com/question/17859945

PLEASE HELP!!!
i think i got a and b done, but i really need help on c and d

Answers

I dont know sorry
Good luck

How many boxes of that particular tennis shoe did Alan’s athletic store have at the end of the day ?

Answers

Answer:

75 should be the answer

Step-by-step explanation:

if you take 100 plus that 50 then divide the 150 in half theres 75

im in 6th grade math! what is 94/288 reduced and simplified, then converted into a mixed number

Answers

Answer:

3 3/47

Step-by-step explanation:

94/288 reduced and simplified

94( ÷2)

------

288( ÷2)

=

47/144

now convert this to a mixed number which is

3 3/47

Hope this helped you- have a good day bro cya)

please help! Cant find the answer!Thank you!!

Answers

Answer:

The coordinates of A" are (4, 2)

Step-by-step explanation:

Write the equation of the line that passes through the
point (2, -1) and has a slope of —3.

Answers

Answer:

y = -3x + 5

Step-by-step explanation:

y = -3x + b

-1 = -3(2) + b

-1 = -6 + b

5 = b

Multiply.

(−411)×(0.1)×(−22)

Answers

-411 multiple by 0.1 is just -41.1, is same as divide by 10. -41.1 multiple by -22 would change the negative to positive. So the answer would be 904.2

Answer:

904.2

Step-by-step explanation:

3
a. What is mZTVZ? Show your work.
R
S.
120°
v (2x + 15)°
3x°
T
(2x + 5)^

Answers

The answer is 95

3x=120 head by head angle

so the x=40

m TVZ also meet the (2x+15) angle

m TVZ = 2x+15

and the x equal to 40

m TVZ= 2(40)+15

m TVZ= 80+15

m TVZ= 95.

Have great day

Answer:

the intersection make every angles share the same head has the same value the answer is 95

Step-by-step explanation:

1) 120=3x then x= 40

2) 2x+15=( 2*40)+15=80+15=95°

3) then TVZ=95°

Victor and his friends are preparing for an epic snowball fight. They make 85 snowballs before Victor's dad calls them in for lunch. After lunch, they make more snowballs. In all, Victor and his friends make 153 snowballs.
Which equation can you use to find the number of snowballs s Victor and his friends make after lunch?

Answers

Answer:

85+x=153

Step-by-step explanation:

So basically, Victor made an unknown amount of snowballs after lunch, and you need to find the amount. You can represent the unknown as the variable x. Then, you get the equation 85+x=153

The equation used to find the number of snowballs s Victor and his friends make after lunch is s + 85 = 153.

Given data:

Victor and his friends are preparing for an epic snowball fight. They make 85 snowballs before Victor's dad calls them in for lunch. After lunch, they make more snowballs. In all, Victor and his friends make 153 snowballs.

Now , the equation to find the number of snowballs Victor and his friends make after lunch is determined as :

s + 85 = 153

In this equation, "s" represents the number of snowballs they make after lunch. The equation states that the sum of the snowballs made before lunch ("85") and the snowballs made after lunch ("s") is equal to the total number of snowballs they made ("153").

Hence, the equation is s + 85 = 153

To learn more about equations, refer:

https://brainly.com/question/19297665

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help, again my brain is useless

Answers

Answer should be A Or
C Sorry if got wrong

can someone tell me what to write please

Answers

Answer: 3.5 years

Step-by-step explanation:  Let A be the salaries earned from company A for x years and B for company B for the same years.

A = 31000 + n*3000

B = 38000 + n*1000

To find the case where A = b, set them to each other and solve for n, the number of years.

31000 + n*3000 = 38000 + n*1000

2000n = 7000

n = (7000/2000) = 3.5 years.

A B

0 31000 38000

1 34000 39000

2 37000 40000

3 40000 41000

4 43000 42000

5 46000 43000

6 49000 44000

7 52000 45000

AHHHH SWEAR THIS IS THE LASt ONEEEEE

Answers

Answer:

the answer is 145°

Step-by-step explanation:

seeing as the two largest angles are 50° and 95° we add them and the answer is 145°

that's what I think :)

The answer is 7200 minutes
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