The U.S. Energy Information Administration (US EIA) reported that the average price for a gallon of regular gasoline is $2.94. The US EIA updates its estimates of average gas prices on a weekly basis. Assume the standard deviation is $0.20 for the price of a gallon of regular gasoline and recommend the appropriate sample size for the US EIA to use if they wish to report each of the following margins of error at 95% confidence. (Round your answers up to the nearest whole number.) (a) The desired margin of error is $0.10. 16 Changed: Your submitted answer was incorrect. Your current answer has not been submitted. (b) The desired margin of error is $0.06. 43 Correct: Your answer is correct. (c) The desired margin of error is $0.04.

Answers

Answer 1

Answer:

The answer is "16, 43, and 96".

Step-by-step explanation:

Given:

[tex]\sigma = 0.20\\\\c = 95\% = 0.95\\\\\therefore \alpha = 1- c = 1- 0.95 = 0.05\\\\\therefore \frac{\alpha}{2} = 0.025\\\\[/tex]

Using Z table:

[tex]\therefore Z_{\frac{\alpha}{2}} = 1.96\\\\[/tex]

For point a:

[tex]E = 0.10\\\\n=(\frac{Z_{\frac{\alpha}{2} \times \sigma}}{E})^2[/tex]

    [tex]= (\frac{(1.96\times 0.20)}{0.10})^2\\\\= 15.3664 \approx 16[/tex]

so, The Sample size (n) = 16

For point b:

[tex]E = 0.06\\\\n=(\frac{Z_{\frac{\alpha}{2} \times \sigma}}{E})^2[/tex]

   [tex]= (\frac{(1.96\times 0.20)}{0.06})^2\\\\= 42.6844444444\approx 43[/tex]

For point c:

[tex]E = 0.04\\\\n=(\frac{Z_{\frac{\alpha}{2} \times \sigma}}{E})^2[/tex]

    [tex]= (\frac{(1.96\times 0.20)}{0.04})^2\\\\= 96.04\approx 96[/tex]


Related Questions

Simplify this expression (7p+3)+(5p-4)

Answers

Answer:

12p -1

Step-by-step explanation:

(7p+3)+(5p-4)

Combine like terms

7p+5p +3-4

12p -1

asnwer for brainliest !!! <33​

Answers

Answer:

24

Step-by-step explanation:

Let's do the smaller parts at the edge.

The formula for a triangle is 1/2bh

The base is 3 the height is 4

3 times 4 is 12

12 divided by 2 is 6

Since there are two of the same triangle on the edge both of the triangle's area is 6 which is 12

No for the upper triangle, the base is 6 and the height is 4

4 times 6 is 24

24 divided by 2 is 12

12 plus 12 is 24

The answer is

The area of the shaded parts of the triangle is 24 in^2

Hope this helps!

I need help on this question

Answers

Answer:

C. y = 8x

Step-by-step explanation:

Using the slope formula, we can calculate the rate of Marisol's and Timothy's Machines.

[tex]m = \frac{y_1-y_2}{x_1-x_2}[/tex]

Marisol:

[tex]m = \frac{18-12}{3-2} \\m=6[/tex]

Timothy:

[tex]m=\frac{54-36}{6-4} \\m=\frac{18}{2} \\m=9[/tex]

Now that we know the rate of their machines, we need to choose a rate that is between 6 and 9. Therefore, the rate of Zorian's machine needs to be y = 8x.

If a^b = 1, what is the value of 'b'?​

Answers

Answer:

Step-by-step explanation:

the value of b is 0.

the base with the power 0 is always 1

Someoneeeee help I don’t get it

Answers

Answer:

the answer is -2,9 lollololl

Subtract 65 from the product of 20 and 4.​

Answers

Answer:

15 is the answer

Step-by-step explanation:

20×4=80

80-65=15

Answer:

The answer is 15

Step-by-step explanation:

(20×4)-65=15

Turkey costs $3.38 per pound. If you buy 2.5 pounds of turkey what is the cost of the turkey?

Answers

Answer: $8.45

Step-by-step explanation:

please help ASAP i need to know in at least 5 mins

Answers

Answer:

Hello! answer: 80

Step-by-step explanation:

8 × 4 = 32 32 ÷ 2 = 16 16 × 4 = 64

4 × 4 = 16 64 + 16 = 80 therefore 80 is the answee Hope that helps!

Answer:

[tex]80~in^2[/tex]

-----------

[tex]SA=4^2+4(1/2)(4)(8)[/tex][tex]=16+64[/tex][tex]=80~in^2[/tex]

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

hope it helps...

have a great day!!

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Answers

Step-by-step explanation:

perimeter o rectangle is 16

Answer:

Step-by-step explanation:

perimeter of rectangle=2(l+b)

=2(8+4)

=2*12

=24 ft

09.03 MC) What is the domain of the following parabola? (5 points) u-shaped graph that opens down with a vertex of 2, 3 Select one: a. x ≥ 2 b. x ≤ −1 c. y ≤ 3 d. All real numbers

Answers

Answer:

The correct option is d: All real numbers.

Step-by-step explanation:

For a function f(x), the domain is the set of all the possible values of x that we can input in that function.

A general way to find the domain of a function is:

First, assume that the domain is the set of all real numbers.

Then, look at restrictions implied:

like in functions like:

f(x) = 4   if x > 3

Here the domain of the function is implied.

Third, let's find values of x that make "problems" with our function (for example, a zero in the denominator) and then remove these points from the domain.

In this case, we have a quadratic function:

y = a*x^2 + b*x + c

Here we do not have any problem (like a zero in a denominator), and we do not have any restrictions (We only know that the parabola is U shaped, so it is a function, and that its vertex is (2, 3) )

Then we can conclude that the domain of this function is the set of all real numbers.

The correct option is d: All real numbers.

I NEED HELP PLEASE HELP ME! I need to get this correct! Anyone

Answers

Answer:

Absolute error = 0.6m

Percentage error = 6%

Step-by-step explanation:

Given that :

Actual height = 10.4 m

Estimated height = 11 m

Tbe percentage error :

The absolute error :

|Actual value - Estimated value|

|10.4 - 11| = 0.6 m

Percentage error :

|Actual value - Estimated value| / actual value * 100%

(0.6 / 10) * 100%

0.06 * 100%

= 6%

answer quick!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

whats the problem

Step-by-step explanation:

To which rational number to which rational subset(s) does the following number belong?
15
1. Rational Numbers
II. Natural Numbers
III. Whole Numbers
IV. Integers

Answers

Answer:

15 belongs to the set of natural numbers , whole numbers , integers & rational numbers.

Step-by-step explanation:

TO FIND :-

those subsets to which 15 belongs

FACTS TO KNOW BEFORE SOLVING :-

N = Set of all natural numbers

W = Set of all whole numbers

Z = Set of all integers

Q = Set of all rational numbers

It can be said that :-

N ⊂ W (∵ Whole numbers include all natural numbers along with 0)W ⊂ Z (∵ Integers include positive numbers i.e. whole numbers along with negative numbers.)Z ⊂ Q (∵ Rational numbers include all integers along with fractions.)

Hence , N ⊂ W ⊂ Z ⊂ Q

SOLUTION :-

Method 1 -

{15} ⊂ N (∵ 15 is an element of set N. {15} a singleton set & it can be called as the subset of N )

⇒ {15} ⊂ N ⊂ W ⊂ Z ⊂ Q

∴ 15 belongs to the set of natural numbers , whole numbers , integers & rational numbers too.

Method 2 -

A rational number is a number which can be expressed in "p/q" form where p,q are integers & q ≠ 0. 15 can also be expressed as [tex]\frac{15}{1}[/tex]. Hence, 15 is a rational number i.e. it belongs to the set of rational numbers.Natural numbers are the countable numbers. 15 is a countable number. So , 15 is a natural number i.e. 15 belongs to the set of natural numbersWhole numbers include all natural numbers as well as zero. 15 is a natural number. So , 15 is also a whole number i.e. 15 belongs to the set of whole numbers.Integers include the negative numbers as well as whole numbers. 15 is a whole number. So , 15 is also an integer i.e. 15 belongs to the set of all integers.

If ST≅SV and m∠SUT=w+10° and m

Answers

Answer:

Step-by-step explanation:

3w= w +10

3w-w=10

2w =10

w= 10/2

w= 5

Which choices are equivalent to the fraction below? Check all that apply.

Answers

B and D by simplifying the fraction
B and d are the ones

The graph of g(x) below resembles the graph of f(x)=x^2, but it has been changed. Which I'd these is the equation of g(x)?​

Answers

Answer:

[tex]A) \displaystyle g(x) = 4 {x}^{2} + 2[/tex]

Step-by-step explanation:

recall that,

[tex] \displaystyle \rm Q _{ \text{standard}} :g(x) = {ax}^{2} + bx + c[/tex]

remember that,

Larger values of 'a' squash the curve inwardsSmaller values of 'a' expand it outwardsAnd negative values of 'a' flip it upside down

since the Parabola squashes inwards we assume a=4

we know that,

when c is positive the Parabola goes upwardswhen c is negative the parabola goes downwards

as the Parabola goes upwards by 2 units we assume c is 2

hence,

our best answer choice is a

Find the value of y in the equation. 3/y-2=8

Answers

Answer: 19/8 or 2 and 3/8

Step-by-step explanation:

Solve the following using substitution method

Answers

Solution :

2a + 2b = 7    ...1)

4a + 3b = 12   ...2)

In equation, 1)

a = (7 - 2b)/2   ...3)

Putting value of a in equation 2) we get :

4 × (7 - 2b)/2  + 3b = 12

2( 7 - 2b ) + 3b = 12

14 - 4b + 3b = 12

b = 2

Putting value of b in 3) we get :

a = ( 7 - 2×2)/2

a = 3/2 = 1.5

Now,

2x - 3y = 16   ...5)

x + 2y = -6    ...6)

x = -6 - 2y

Putting above value of x in eq 5) , we get :

2( -6 - 2y ) - 3y = 16

-12 - 4y - 3y = 16

7y = -28

y = -4

x = -6 - ( 2× -4 )

x = 2

Hence, this is the required solution.

Estimate the difference of the decimals below by rounding to the nearest whole number.

16.058
- 6.143​

Answers

Step-by-step explanation:

16-6=10

because 16.058 rounds down

6.143 rounds down

What is the equation of a line that is perpendicular to y = 3x -2 and passes
through the point (6, 8)?
O A. y= -1/3x+10
O B. y= -1/3x + 4
O C. y= 1/3x+6
O D. y= -1/3x+8

Answers

Answer:

A. y=-1/3x+10

Step-by-step explanation:

Perpendicular gradients(slopes) are negative reciprocals so

m=-1/3  then use the point (6,8) to find the equation of the line

y=mx+b

8=(-1/3)(6)+b

8=-2+b

b=10

y=-1/3x+10

Find the volume of the pyramid.
4 mm
B = 15 mm2
mm3

Answers

The volume of the pyramid is 516.14 mm^3

HELP ME ANSWER THESE PLEASEE IM IN SUMMER SCHOOL NO FILES OR LINKS WOULD BE DEEPLY APPRECIATED

Answers

Answer: hoped this helped!

Step-by-step explanation:

2) 9/10

3) 2/5

5) 4/5

6) 1/5

7) 48 8/9

Number 1 is wrong correct answer: 5/12

What is the probability that a given student is on financial aid, given that he or she is a graduate?

rounded to the nearest percent

[ ? ] %

Answers

Answer:

72

Step-by-step explanation:

[tex]\frac{1879}{2610} = 0.719 = 72[/tex]

Find the area please

Answers

Step-by-step explanation:

Area of a triangle = ½(BASE X HEIGHT)

= ½(10x5)

=½(50)

=25in²

Step-by-step explanation:

Equation is

A=b*h/2

so:

5*10=50

50/2=25

25in²

What is the length of NP?

Answers

Answer:

c. √174

Step-by-step explanation:

NP²= 10²+7²+5²=100+49+25= 174

NP = √174

The length of NP would be; √174

What is Pythagoras' Theorem?

If ABC is a triangle with AC as the hypotenuse and angle B with 90 degrees then we have:

|AC|^2 = |AB|^2 + |BC|^2    

where |AB| = length of line segment AB. (AB and BC are the rest of the two sides of that triangle ABC, AC being the hypotenuse).

We are given the measure of sides;

NP²= 10²+7²+5²

NP²=100+49+25

NP²= 174

NP = √174

Learn more about Pythagoras' theorem here:

https://brainly.com/question/12105522

#SPJ2

In Δ Q R S s = 7.9 cm ∠ Q = 125 ∘ and ∠ R = 23 ∘ '. Find the length of q, to the nearest 10th of a centimeter.

Answer- 12.2

Answers

Answer:

See the attachment ⬆️⬆️

Which expression is equivalent to (2213 61/3,1/2;

Answers

Answer:

E.

Step-by-step explanation:

[tex](a^{\frac{2}{3}} b^{\frac{1}{3}}) ^\frac{1}{2} = a^{{\frac{2}{3}} \times\frac{1}{2}} \times b^{{\frac{1}{3}} \times \frac{1}{2} } = a^{\frac{1}{3}} b^{\frac{1}{6}}[/tex]

ilang metro ang 1300 sentimetro?

a. 1metro
b. 13 metro
c. 130 metro​

Answers

Answer:

1300 cm = 13 m

Step-by-step explanation:

We need to find meters in 1300 cm.

We know that,

1 m = 100 cm

1 cm = (1/100) m

It means,

[tex]1300\ cm=\dfrac{1300}{100}\ m\\\\=13\ m[/tex]

Hence, there are 13 m in 1300 cm.

if the arithmetic mean of 5 and c is 11,what is the value of C​

Answers

Answer:

c=17

Step-by-step explanation:

(5+c)/2=11

5+c=22

c= 22-5

c=17

If the cost to fill the pool is $2.55 per cubic foot, how much will it cost to fill the pool?
It will cost $
to fill the pool.

Answers

Answer:

$1346.40

Step-by-step explanation:

Find the volume of the pool first:

volume = cubiod + triangular prism

volume = (8*6*8) + (8*6*6)/2

volume = 528 cubic feet

price = price per cubic foot * cubic feet

price = $2.55 * 528 cubic feet

price = $1346.40

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