A magazine published a list consisting of the state tax on each gallon of gas. If we add the 50 state tax amounts and then divide by??? 50, we get 27.3 cents. Is the value of 27.3 cents the mean amount of state sales tax paid by all U.S.??? drivers? Why or why??? not?

Answers

Answer 1

Answer: No, it would not be the mean of the tax paid by all US drivers.

To find the mean, we divided by 50 because there are 50 states. However, the number of people in each state is not equal. Therefore, the 50 states should not be treated as they are equal.

To find the mean correctly, we would have to find weight the value of each state according to the number of people in the state.

Related Questions

find the exact value of cos285 using the fact that 285=330-45

Answers

[tex]\bf \textit{Sum and Difference Identities} \\\\ cos(\alpha - \beta)= cos(\alpha)cos(\beta) + sin(\alpha)sin(\beta)\\\\ -------------------------------\\\\ cos(285^o) \\\\\\ cos(330^o-45^o)=cos(330^o)cos(45^o)+sin(330^o)sin(45^o) \\\\\\ cos(330^o-45^o)=\left( \frac{\sqrt{3}}{2} \right)\left( \frac{\sqrt{2}}{2} \right)~~+~~\left( \frac{1}{2} \right)\left( \frac{\sqrt{2}}{2} \right) \\\\\\ cos(330^o-45^o)=\cfrac{\sqrt{6}}{4}+\cfrac{\sqrt{2}}{4}\implies cos(330^o-45^o)=\cfrac{\sqrt{6}+\sqrt{2}}{4}[/tex]

Is the mean always a more accurate measure of center than the median

Answers

I want to say yes it is but it's been a little while since I have learned this

Circle 1: center (8, 5) and radius 6
Circle 2: center (−2, 1) and radius 2
What transformations can be applied to Circle 1 to prove that the circles are similar?
What scale factor does the dilation from Circle 1 to Circle 2 have?
Show your work.

Answers

we have that
Circle 1: center (8, 5) and radius 6
Circle 2: center (−2, 1) and radius 2

we know that
the equation of a circle is
(x-h)²+(y-k)²=r²
for the circle 1---------> (x-8)²+(y-5)²=36
for the circle 2---------> (x+2)²+(y-1)²=4

using a graph tool
see the attached figure

Part A)What transformations can be applied to Circle 1 to prove that the circles are similar?

we know that
r1/r2---------> 6/2------> 3

to prove that the circle 1 and circle 2 are similar, the radius of circle 1 must be divided by 3 and translate the center of the circle 1 (10) units to the left and (4) units down

the answer part A) is
the radius of circle 1 must be divided by 3 and translate the center of the circle 1 (10) units to the left and (4) units down

Part B) What scale factor does the dilation from Circle 1 to Circle 2 have?

the answer Part B) is
the scale factor is (3/1)

Which ordered pair is a solution for this system of inequalities?
2x + 3y > 1 and y < 5/4 x - 1

A.(3, 9)
B.(-4, 2)
C.(8, -1)
D.(-2, -5),

Answers

C. (8, -1)

For this problem, the easiest method is to simply try each of the 4 possible answers and see which one fits. So
A. (3, 9)
2x + 3y > 1
2*3 + 3*9 > 1 ; Obviously true, not going to finish calculation.

y < 5/4 x - 1
9 < 5/4 3 - 1
9 < 15/4 - 1 ; Obviously false, not going to finish calculation.

B. (-4, 2)
2x + 3y > 1
2*(-4) + 3*2 > 1
-8 + 6 > 1 ; Obviously false, not going to finish calculation.
No need to bother with 2nd inequality.

C. (8, -1)
2x + 3y > 1
2*8 + 3*(-1) > 1
16 - 3 > 1 ; Obviously true, not going to finish calculation.

y < 5/4 x - 1
-1 < 5/4 * 8 - 1
-1 < 40/4 - 1
-1 < 10 - 1 ; Obviously true, not going to finish calculation.
Both inequalities satisfied, this is the correct choice.

D. (-2, -5)
2x + 3y > 1
2*(-2) + 3*(-5) > 1; Left hand side is obviously negative, so obviously false,
not going to finish calculation.
No need to bother with 2nd inequality.

can someone help me with this?

Answers

It's C.

I did it by plugging the functions into a graphing calculator and seeing which one matched, but you could also plug in 2 or 3 values into each x position and see which one's results matched with the shown function.

Cheryl volunteers to mow the lawn at a retirement home.She can mow 1/4 of the lawn in 3/4 of an hour .At what rate ,how many hours will it take Cheryl to mow the entire lawn

Answers

It will take three hours to mow the grass.

Hey there!

Since she mows 1/4 in 3/4 hours, you can multiply 4 and 3/4 . . .

4 = 4/1

3/4 = 3/4

4 x 3 = 12

1 x 4 = 4

Simplifying 12/4 . . .

12/4 = 3 <---------

It will take 3 hours for Cheryl to mow the entire lawn.

Hope this helps you.
Have a great day!

What is the simplified form of (x – 2)(2x +3)? Use the Distributive Property. (1 point)
2x2 – x – 6
2x2 – 6
2x2 – 7x – 6
2x2 + x – 6
2. What is the simplified form of (3x + 2)(4x – 3)? Use a table. (1 point)
12x2 + 18x + 6
12x2 + x – 6
12x2 + 18x – 6
12x2 – x – 6
3. What is the simplified form of (4p – 2)(p – 4)? (1 point)
4p2 + 6p – 16
4p2 – 18p + 8
4p2 – 14p – 6
4p2 – 6p + 16
4. The radius of a cylinder is 3x – 2 cm. The height of the cylinder is x + 3 cm. What is the surface area of the cylinder? Use the formula A = 2r2 + 2rh.,

Answers

1. 2x2 – x – 6
2. 12x2 – x –6
3. 4p2 – 18p + 8

Explain what needs to happen to the inequities sign when dividing or multiplying by a negative number

Answers

Inequality symbols need to be reversed when multiplying or dividing by a negative number, because that reverses the ordering of values.
2 > 1
-2 < -1 . . . . . multiplied or divided by -1

___
A more "interesting" case is when a function is applied that has a negative slope.
0 < a < b < π
cos(0) > cos(a) > cos(b) > cos(π)

Soon you will determine the right triangle connection the pythagorean theorem

Answers

I don't know I just need the points Lol sorry

A cell phone weighs about 2.8X10^n pounds. Which value of n is most reasonable? A)-3 b)-1 c)0 d)1
please help im stuckk

Answers

The average cell phone weighs about 4 ounces, or 0.25 pounds... 0.28 is closest to this number.

2.8 * 10^-3 = 0.0028 - Much too light

2.8 * 10^-1 = 0.28 - Reasonable weight

2.8 * 10^0 = 2.8 - Too heavy

2.8 * 10^1 = Much too heavy

Just plug in every value and see if it's a reasonable weight for a cell phone.

[tex]\sf 10^{-3}=0.001[/tex]
[tex]\sf 10^{-1}=0.1[/tex]
[tex]\sf 10^0=1[/tex]
[tex]\sf 10^1=10[/tex]

[tex]\sf 2.8\times 0.001=0.0028[/tex]
[tex]\sf 2.8\times 0.1=0.28[/tex]
[tex]\sf 2.8\times 1=2.8[/tex]
[tex]\sf 2.8\times 10=28[/tex]

So what is the most reasonable weight for a cell phone? 0.0028 pounds, 0.28 pounds, 2.8 pounds, or 28 pounds? I would definitely say 0.28 pounds.

Find the ratio of the longest side to the perimeter of the right-triangular-shaped billboard. 20 feet 21 feet 29 feet

Answers

29:70

29/70

29 to 70

the ratio is 29 ft. to 70 ft.

Solution:

we have been asked to find the ratio of the longest side to the perimeter of the right-triangular-shaped billboard.

Sides of the right-triangular-shaped billboard are 20 feet 21 feet 29 feet.

As we know perimeter is just the sum of all the sides.

Perimeter[tex]=20+21+29=70\\[/tex]

And the longest side is 29 feet.

Hence the required ratio [tex]=\frac{29}{70}=29:70[/tex]

Where is the centroid of any given triangle?
A. the point of concurrency of the altitudes of the triangle.
B. the point of concurrency of the medians of the triangle.
C. the point of concurrency of the perpendicular bisectors of the triangle.
D. the point of concurrency of the angle bisectors of the triangle.
Which of the following best describes the altitude of a triangle?
A. a segment perpendicular to a side of the triangle.
B. a segment that passes through the midpoint and is perpendicular to a side of a triangle.
C. a segment drawn from the ve

Answers

The answers are the following:

1. The centroid of any given triangle is at B. the point of concurrency of the medians of the triangle. It is a point is where the three points of the medians of the triangle meet.

2. B. a segment that passes through the midpoint and is perpendicular to a side of a triangle. It is line segment that is perpendicular to a line containing the base

how fast is the water level rising in a rectangular fish tank whose base is 20 ft^2 if the tank is being filled at a rate of 0.5ft^3/min

Answers

V = Bh
0.5 ft^3 = (20 ft^2)h
h = (0.5 ft^3)/(20 ft^2) = 0.025 ft

The rate of change of water depth is 0.025 ft/min.

The water level is rising at a rate of 0.025 ft/min.

To determine how fast the water level is rising in the rectangular fish tank, you can use the formula for the volume of a rectangular prism:

V = base area × height

Given that the base area is 20 [tex]ft^2[/tex] and the tank is being filled at a rate of

0.5 cube ft/min, you want to find the rate at which the height (h) is changing [tex](\frac{dh}{dt} )[/tex].

V = base area × height

[tex]\frac{d V}{d t}=\text { base area } \times \frac{d h}{d t}[/tex]

Substitute the known values:

0.5 = 20 x [tex](\frac{dh}{dt} )[/tex]

Now, solve for [tex](\frac{dh}{dt} )[/tex]

[tex]\frac{d h}{d t}=\frac{0.5}{20}[/tex] = 0.025 ft/min

Thus, the required answer is 0.025 ft/min.

A rectangle is 7 feet long by 2 feet wide. If 2 feet are added to the length of the rectangle, what would be the area, in square feet, of the new rectangle?

Answers

it would be 9 x 2 so the area would be 18 sq ft

If a rectangle is 7 feet long by 2 feet wide and 2 feet are added to the length of the rectangle then the area of rectangle is 18 square feet.

What is Area of Rectangle?

The area of Rectangle is length times of width.

Given that a rectangle has a length of 7 feet.

The width of rectangle is 2 feet.

We have to find the area of rectangle when 2 feet is added to the length of rectangle

Initial length is 7 feet

When 2 feet is added the length will be 7+2, 9 feet.

Area of rectangle = Length × width

=9×2

Nine times two is eighteen.

=18 square feet.

Hence, if a rectangle is 7 feet long by 2 feet wide and 2 feet are added to the length of the rectangle then the area of rectangle is 18 square feet.

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A die is tossed. Find the odds against rolling a number greater than 4.
*the probability of rolling a # greater than 4 is 1/3.
*the probability that the event doesn't occur is 2/3.

What is the ratio?

Answers

The chance of rolling a number greater than 4 (a 5 and 6) is 2/6 = 1/3 after simplification. The probability it WON'T happen is 1 - 1/3 = 2/3.
The ratio of against to for is 2/3:1/3
You can further simplify this ratio by multiplying each side by 3 and yielding
2:1.
The chance of it not happening is twice as likely as it is to roll a number greater than 4

Jose owns 40 shares of stock A whose price increased by $0.75 per share. He also owns 100 shares of stock B whose price decreased by $0.20 per share. What is the total change in the value of Paul’s stock (A and B together)?

PLEASE HELP!

Answers

it will increase the current value.

40*$0.75 +100*(-$0.20) = $30 -20 = $10

Paul's portfolio increased in value by $10.

4) A mountain climber climbed up a cliff 1/4 mile at a time. he did this 5 times in one day. How many miles did he climb up? *

Answers

He climbes 1 1/4 miles.
1/4+1/4+1/4+1/4+1/4= 1 1/4.

Factor completely: 9ab + 12ax - 6b - 8x (1 point)
1. Prime
2. (3b - 4x)(3a - 2)
3. (3b + 4x)(3a - 2)
4. (3b + 4x)(3a + 2)

Answers

3. (3b + 4x)(3a - 2) is correct.
Use FOIL to expand each factored form, only #3 will result in 9ab + 12ax - 6b - 8x

the correct answer would be C or #3

Find the volume for the regular pyramid.

4 cu. units
6 cu. units
12 cu. units

Answers

4 cu units
Formula is V = lwh/3
v=volume
I=base length
w=base length
h=base height

Answer:

[tex]4\ cu.\ units[/tex]

Step-by-step explanation:

we know that

The volume of the pyramid is equal to

[tex]V=\frac{1}{3}Bh[/tex]

where

B is the area of the base of the pyramid

h is the height of the pyramid

Find the area of the base

[tex]B=2^{2}=4\ units^{2}[/tex]

[tex]h=3\ units[/tex]

Find the volume

[tex]V=\frac{1}{3}(4)(3)=4\ units^{3}[/tex]

A circular piece of glass has a radius of 2.1 meters. The glass sells for $1.70 per square meter. What is the total cost of the circular piece of glass?

$23.54

$94.16

$3.57

$11.21

Answers

the answer is $3.57 because $1.70x 2.1 is $3.57

trevor needs to let his puppy outside every quarter (1 fourth) hour to potty train him. draw and label a number line from 0 hours to 1 hour to show every 1 fourth hour.

Answers

make a number line and make it into four parts that shows that needs to let his puppy outside every 25 min.

PLS HELP ME ASAP ON THIS!! THANK YOU SO MUCH!!

BRAINLIEST WILL BE GIVEN

(RANDOM ANSWERS GETS MODERATED.)

Answers

Your picture shows 3 combinations that are sufficient to tell you the price of each item.

The other two are
.. 0 fries + 1 shake + 1 burger = 4.20
.. 1 fries + 1 shake + 0 burger = 2.80

_____
Add any two orders and subtract the third to find the cost of one of the items.
For example add the two orders written above and subtract the one shown in the picture.
.. (1 fries + 2 shakes + 1 burger) - (1 fries + 1 burger) = (4.20 +2.80) -(3.40)
.. 2 shakes = 3.60
.. 1 shake = 1.80
Then the last equation tells you
.. 1 fries = 2.80 - 1 shake = 1.00
and the first equation tells you
.. 1 burger = 3.40 - 1 fries = 2.40

1 fries = $1.00
1 shake = $1.80
1 burger = $2.40

A horizontal line goes through the point (–7,10). Which statements are true about this line? Check all that apply. The slope of the line is zero. Another point on the line is (3,10). The y-intercept of the line is –7. The equation of the line is y = 10.

Answers

A. The slope of the line is zero. True
All horizontal lines have a slope of 0

B. Another point on this line is (3,10). True
All points on this line have a y coordinate of 10

C. The y intercept of the line is -7. False
The y intercept is 10 which is at the point (0,10)

D. The equation of the line is y = 10. True
The equation y = 10 indicates all y coordinates are 10 while the x coordinate is anything you want.

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

Answers are: A, B, and D

The statement 1,2, and 4 are true and 3 is not true below given the reason behind it.

What is a graph?

The link between lines and points is described by a graph, which is a diagrammatic representation of a network.

A graph is made up of some points and the distance between two It doesn't matter how much time the lines are or where the points are located. A node is a name for each constituent in a graph.

The given statement is a line passing through ( -7, 10 ) so

Option 1 ⇒ the slope of that line will be zero because it is a horizontal line so it will be true.

Option 2 ⇒another point on this line will be (3,10) since it is a horizontal line so the y coordinate is the same and the x coordinate can vary so it is also true.

Option 3 ⇒ the y-intercept of this line will be 10 which is not true and can be confirmed by options 1 and 2.

Option 4 ⇒ the equation of the line will be y =10 which is true hence it is a horizontal line.

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Regard triangleTRI and the following facts:
Segment IR || Segment NA
TA= 12 cm, RA= 3 cm, NT= 18 cm, AN= 22

(a)What theorem or postulate proves Triangle ANT similar to RIT?(b)Solve for NI by using the Side-Splitting Theorem.Show all work.(c)What is the scale factor for similar triangles ANT and RIT?
(d)Calculate RI. Show your work.
(e)What is the ratio of the areas of the two triangles? Show your work.

Answers

A) Using the side-splitter theorem we know that the sides that are intersected by the parallel lines are proportional. It can also be shown that the angles are congruent due to the parallel segments cut by a transversal.
B) NI = 4.5
C) 4:5
D) RI = 27.5
E) 16:25

Explanation
We will set up a proportion for b:
AT/RT = NI/TI
12/15 = 18/x

Cross multiply:
12*x = 18*15
12x = 270

Divide both sides by 12:
12x/12 = 270/12
x = 22.5

Since TI = TN + NI, we have
22.5 = 18 + NI
-18 -18
4.5 = NI

C) The ratio of the sides of the smaller triangle to the larger rectangle are given by the ratio AT/RT, or 12/15 = 4/5.

D) Setting up a proportion we have
AN/RI = AT/RT
22/RI = 12/15

Cross multiply:
22*15 = RI*12
330 = 12RI

Divide both sides by 12:
330/12 = 12RI/12
RI = 27.5

E) The ratio of the areas will be the square of the ratio of the side lengths, since area is a square measurement:
(4/5)² = 4²/5² = 16/25

The original value of a car is 18000, and it depreciates (loses value) by 15% each year. What is the value of the car after three years?

Answers

At the end of each year, the value is 100% -15% = 85% = 0.85 what it was at the beginning of the year. After 3 years, the value is
.. 18,000*0.85^3 = 11,054.25

Somebody help. I can’t figure this question out. thanks

Answers

The large triangle and the smaller one are similar. Comparing long sides to short ones, we get
.. (30 mm)/(21 mm) = (14 mm +x)/(14 mm)
.. (14 mm)*10/7 = 14 mm +x
.. (14 mm)*(10/7 -1) = x
.. (14 mm)*(3/7) = x = 6 mm

The value of x is 6 mm.

[tex]21 \div 30 = 14 \div 14 + x[/tex]
[tex]30 \times 14 = 420[/tex]
[tex]21 \times 14 + x = 294 + 21x[/tex]
[tex]420 = 294 + 21x[/tex]
[tex]420 - 294 = 126[/tex]
[tex]126 = 21x[/tex]
[tex]126 \div 21 = 6[/tex]
[tex]x = 6[/tex]

Laila is having shirts made with a logo printed on them to promote her band. The total cost consists of a one-time fee of $75 to have the logo designed, plus $8 per shirt to print the logo. Write an equation that Laila can use to determine the total cost c, in dollars, to make x shirts

Answers

c=8x+75 c is equal to cost and x is equal to the amount of shirts

Given that the points (-3, 8), (2, 8), (2, -2), and (-3, -2) are vertices of a rectangle, what is the ratio of the rectangle's length to its width?

Answers

let
A ---> (-3, 8)
B ---> (2, 8)
C----> (2, -2)
D----> (-3, -2)

step 1
find the distance AB
d=√[(y2-y1)²+(x2-x1)²]-----> d=√[(8-8)²+(2+3)²]----> d=√25-----> d=5 units

step 2
find the distance BC
d=√[(y2-y1)²+(x2-x1)²]-----> d=√[(-2-8)²+(2-2)²]----> d=√100-----> d=10 units

step 3
find the ratio of the rectangle's length to its width
ratio=rectangle's length/rectangle's width
length=10 units
width=5 units
ratio=10/5-----> ratio=2

the answer is
the ratio of the rectangle's length to its width is 2

see the attached figure

Answer:

2:1

Step-by-step explanation:

If arc XV = 68° and ∠YUV = 36°, what is the measure of arc VY?

Answers

the complete question in the attached figure

we have
arc XV = 68°
∠YUV = 36°

we know that
The measure of the external angle is the semidifference of the arcs that it covers.
therefore
∠YUV =[arc VY-arc XV]/2
arc VY=[2*∠YUV]+arc XV----------> [2*36]+68---------> 140°

the answer is
the measure of arc VY is 140°

please help me thank you.

Answers

The length of an arc (s) is given in terms of the circle radius (r) and the central angle (θ) by
.. s = rθ . . . . . . . . . . . θ in radians

Your arc length is
.. s = (5 m)*(2π/3)
.. = 10π/3
.. ≈ 10.47 m

The 3rd selection is appropriate.

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El almohadn de plumas cul es el tema de la narracin ?? which examples demonstrate growth of an organism as a result of mitosis?A. a plant withering in the sunlight B. a baby growing into a toddler C. a seed becoming a plant A spinner with 9 equally sized slices is shown below. The dial is spun and stops on a slice at random. What are the odds in favor of landing on a white slice?note their are 7 white and 2 black Darren's psychologist is trying to replace his client's vicious cycle of maladaptive, self-defeating thoughts with healthier, adaptive ones, by, most likely, using: A rectangle's length is 13meters more than 3 times its width. The area is 10 square meters. What is the width?A.) 2/3mB.) 3mC.) 5mD.) 10m The diagram shows a line with intercepts 3 and 9 and one of many rectangles which can be inscribed under this line and within the first quadrant.a. Write an equation for the line.b. Determine if the rectangle can have x = 4 and y = 2 as its dimensions.c. Find x and y if the rectangle is a square.d. Write an expression for A, the area of the rectangle, using x as the only variable.e. Find x if the area of the rectangle is 6.f. Which x gives the rectangle its largest area? demonstrate that plants use photosynthesis to grow throughout their lives 1)How did the Roman Empite benefit by moving the capital to the eastern city?(Remaned Constantine)2) Why was Byzantium a strategic place to locate Constantine's new city?3) Explain the benefits of Constantine's decision to shift his capital and how it helped Christianity spread through the Roman Empire? Answer the following. For each question answer in one or two sentences. 15p for an answer please z varies jointly with x and y. when x=2 and y=3, z=60. what is the value of z when x=4 and y=9?A. 360B. 60C. 90D. 40, Your school gets a dunk tank for its spring fair. The tank is in the shape of a cylinder that is 5 feet high and has a radius of 3 feet. About how much water can the dunk tank hold? Use 3.14 for pi. Study the map above. Which city is located at approximately 51 N, 0? A. LondonB. BudapestC. RomeD. Lisbon What is the most common injury in the United States? A.A twisted ankle B.A broken wrist C.A wrenched back D.An ankle sprain The Phoenicians founded many city-states. These city-states often competed against each other. Do you think it would have made more sense to cooperate? True or false? if the sample mean of a random sample from an x distribution is relatively small, then the confidence interval for will be relatively short. g A cylinder has a radius of 16 m and a height of 9 m. What is the approximate surface area of the cylinder? Use 3.14 for . A. 603 m2 B. 904 m2 C. 2512 m2 D. 14,469 m2 The bobbin, bobbin case, and the race hook are located in the A. escapement. B. lower tension assembly. C. shuttle. D. swing arm. What number is 12% of 25? Use a straightedge to divide the fraction bar into 6 equal parts then shade 4 parts Kana earns a $25,000 salary in the first year of her career. Each year, she gets a 4% raise. How much does Kana earn in the first 10 year of her career? (Round the final answer to the nearest dollar)