Suppose you asked 100 commuters how much they spend each year and obtained a mean of $167 spent on transportation and a standard deviation of $40. Using the 2 SE rule of thumb, calculate a 95% confidence interval for the mean and select the values that come closest to those that would fill the spaces in the following interpretation: we can be 95% confident that the mean amount of money spent on transportation lies between _____ and _____ .

Answers

Answer 1

Answer:

The correct answer is "$159 and $175".

Step-by-step explanation:

The give values are:

Mean,

= $167

Standard deviation,

[tex]\sigma[/tex] = $40

Number of commuters,

n = 100

Now,

⇒ [tex]SE=\frac{\sigma}{\sqrt{n} }[/tex]

On putting the given values, we get

⇒       [tex]=\frac{40}{\sqrt{100} }[/tex]

⇒       [tex]=\frac{40}{10}[/tex]

⇒       [tex]=4[/tex]

By using the 2 SE rule of thumb, we get

= [tex]$(167 - 2\times 4)[/tex]

= [tex]167-8[/tex]

= [tex]159[/tex] ($)

Or,

= [tex](167 + 2\times 4)[/tex]

= [tex]167+8[/tex]

= [tex]175[/tex] ($)

i.e,

$159 and $175


Related Questions

Write an equation in slope-intercept form for the line that passes through
(–1, –2) and (3, 4).

Answers

THE ANSWER IS: y=3/2x-1/2

first find the slope given the two points

plug in the slope and one of the given point into point intercept form

multiply out the equation to find slope-intercept form

Heidi is building a stone path in her garden. It needs to be 8 feet to 8 1/2 feet long. Drag stones into the box

Answers

Answer:

where are the stones

Step-by-step explanation:

Answer:

you have to figure out how big the stones are and add to the box accordingly

Step-by-step explanation:

Date:
.
'. Due to coxid-19 pandimec, the Jacinto
Family donated 180 pos Face Shield
and the aguinaldo family also don
213 pcs of pace shield to the front
liner, If a face shield cost 8m pesos
How much
the total cost of
donation.
tone soola​

Answers

Answer:

It's 3,114: )

Step-by-step explanation:

Because if you multiply the 8m to 180 it will remain to 1,440 plus additional 1,704 so it will be 3,114, the main answer

Peter's family traveled 5/8 of the distance to his grandmother’s house on Saturday. They traveled 2/3
of the remaining distance on Sunday. What fraction of the total distance to his grandmother’s house was traveled on Sunday?

Answers

1/4 was travelled on Sunday.

Tropical Storm Enteng travels 600 miles while Tropical Depression
Gener travels 520 miles at the same time. Find the rate of each if
Enteng’s average rate is 15mph faster than Gener’s.

Solve with distance, rate & time table formula

Answers

Answer:

hurricane basics

Step-by-step explanation:

A "hurricane" is the most severe category of the meteorological phenomenon known as the "tropical cyclone."

Tropical cyclones are low pressure systems that have thunderstorm activity and rotate counterclockwise. A tropical

cyclone that has winds of 38 mph (33 kt) or less is called a tropical depression. When the tropical cyclone's winds reach

39-73 mph (34-63 kt), it is called a tropical storm. When the winds exceed 74 mph (64 kt), the storm is considered

to be a hurricane.

The Saffir-Simpson Hurricane Scale defines hurricane strength by categories. A Category 1 storm is the weakest hurricane

(winds 74-95 mph or 64-82 kt); a Category 5 hurricane is the strongest (winds greater than 155 mph or 135 kt).

The category of the storm does not necessarily relate directly to the damage it will inflict. Lower category storms (and

even tropical storms) can cause substantial damage depending on what other weather features they interact with, where

they strike, and how slow they move.

Anatomy of a Hurricane

Typical hurricanes are about 300 miles wide although they can vary considerably in size.

The eye at a hurricane's center is a relatively calm, clear area approximately 20-40 miles across.

The eyewall surrounding the eye is composed of dense clouds that contain the highest winds in the storm.

The storm's outer rainbands (often with hurricane or tropical storm-force winds) are made up of dense bands of

thunderstorms ranging from a few miles to tens of miles wide and 50 to 300 miles long.

Hurricane-force winds can extend outward to about 25 miles in a small hurricane and to more than 150 miles for a large

one. Tropical storm-force winds can stretch out as far as 300 miles from the center of a large hurricane.

Frequently, the right side of a hurricane is the most dangerous in terms of storm surge, winds, and tornadoes.

A hurricane's speed and path depend on complex ocean and atmospheric interactions, including the presence or absence

of other weather patterns. This complexity of the flow makes it very difficult to predict the speed and direction of a hurricane.

Do not focus on the eye or the track–hurricanes are immense systems that can move in complex patterns that are difficult

to predict. Be prepared for changes in size, intensity, speed, and direction.

Hurricane Basics

Answer:

Answer:

hurricane basics

Step-by-step explanation:

A "hurricane" is the most severe category of the meteorological phenomenon known as the "tropical cyclone."

Tropical cyclones are low pressure systems that have thunderstorm activity and rotate counterclockwise. A tropical

cyclone that has winds of 38 mph (33 kt) or less is called a tropical depression. When the tropical cyclone's winds reach

39-73 mph (34-63 kt), it is called a tropical storm. When the winds exceed 74 mph (64 kt), the storm is considered

to be a hurricane.

The Saffir-Simpson Hurricane Scale defines hurricane strength by categories. A Category 1 storm is the weakest hurricane

(winds 74-95 mph or 64-82 kt); a Category 5 hurricane is the strongest (winds greater than 155 mph or 135 kt).

The category of the storm does not necessarily relate directly to the damage it will inflict. Lower category storms (and

even tropical storms) can cause substantial damage depending on what other weather features they interact with, where

they strike, and how slow they move.

Anatomy of a Hurricane

Typical hurricanes are about 300 miles wide although they can vary considerably in size.

The eye at a hurricane's center is a relatively calm, clear area approximately 20-40 miles across.

The eyewall surrounding the eye is composed of dense clouds that contain the highest winds in the storm.

The storm's outer rainbands (often with hurricane or tropical storm-force winds) are made up of dense bands of

thunderstorms ranging from a few miles to tens of miles wide and 50 to 300 miles long.

Hurricane-force winds can extend outward to about 25 miles in a small hurricane and to more than 150 miles for a large

one. Tropical storm-force winds can stretch out as far as 300 miles from the center of a large hurricane.

Frequently, the right side of a hurricane is the most dangerous in terms of storm surge, winds, and tornadoes.

A hurricane's speed and path depend on complex ocean and atmospheric interactions, including the presence or absence

of other weather patterns. This complexity of the flow makes it very difficult to predict the speed and direction of a hurricane.

Do not focus on the eye or the track–hurricanes are immense systems that can move in complex patterns that are difficult

to predict. Be prepared for changes in size, intensity, speed, and direction.

Hurricane Basics

Step-by-step explanation:

sonic or Kirby, who is better?

Answers

Answer:

Personaly i would say kirby. but zelda is better than any other game series

Step-by-step explanation:

My Answer: B O T H .

Reason:

They're both my childhood

Hep me please this is to much

Answers

Answer:

its B

Step-by-step explanation:

hope it helps

Answer:

B. 6 x 0.8

Step-by-step explanation:

It depends on the placement of the decimal point. All of the answers have 6 x 8. It's just that the decimal points are in different places each time.

For example, option A, is 6 x 8, which is 48. 48 is not equal to 4.8.

Option B, however, has 6 x 0.8. 6 x 8 = 48, and divided by 10 is 4.8. 4.8 = 4.8. This means Option B is correct.

Hope this helps :)

A man bought a certain number of golf balls for RM 20. If each ball has costed 20 cents less, he could have bought five more for the same money. How many golf balls did he buy?​

Answers

Answer:

He bought 20 balls

Step-by-step explanation:

Cost of a certain number of golf balls = $20

Let 1 golf ball cost $x

This means number of balls bought = 20 / x

If each ball has costed 20 cents less;

Converting 20 cents to dollars = $0.2

$x - $0.2

he could have bought five more for the same money.

Number of balls = 20/x + 5

Using the formulae;

Cost of 1 ball * Number of balls bought = Amount spent

(x-0.2) (20/x + 5) = 20

Expanding the expression;

x(20/x + 5) - 0.2(20/x + 5) = 20

20 + 5x - 4/x - 1 = 20

19 + 5x - 4/x = 20

5x - 4/x = 1

Multiplying all through by x

5x^2 - 4 = x

5x^2  - x - 4 = 0

(5x + 4)(x - 1) = 0

x = 1 or -4/5

-4/5 is unrealistic hence the correct value is;

x = $1

He bought 20 balls;  20 / x = 20 / 1 = 20

The reduction in the price of each ball increases the number of balls the man can buy at RM 20.

The number of balls he bought is 20 balls.

Reasons:

The given parameters are;

The amount the man bought the golf balls = RM 20

The number of golf balls he could have bought if each ball costs 20 cents less = 5 more balls

Let the number of balls the man bought = x

Let the price of each ball be m

We have;

m × x = 20

(x + 5)·(m - 0.20) = 20

Therefore, we get;

[tex]m = \dfrac{20}{x}[/tex]

Which gives;

[tex]\left(x + 5 \right) \cdot \left(\dfrac{20}{x} - 0.20\right) = 20[/tex]

[tex]-\dfrac{\left(0.2 \cdot x^2- 19 \cdot x - 100\right)}{x} = 20[/tex]

20·x = -0.2·x² + 19·x + 100

0.2·x² + x - 100 = 0

x² + 5·x - 500 = 0

(x + 25)·(x - 20)

x = 20

The number of balls he bought, x = 20 balls

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https://brainly.com/question/6597326

A rectangle on a coordinate plane is translated 5 units up and 3 units to the left. Which rule describes the translation?

(x, y) → (x + 5, y – 3)
(x, y) → (x + 5, y + 3)
(x, y) → (x – 3, y + 5)
(x, y) → (x + 3, y + 5)

Answers

Answer:

(x, y) → (x + 5, y – 3)

Step-by-step explanation:

Refer to a graph. It helps.

Up = +

Down = -

Right = +

Left = -

Answer:

actually, the CORRECT answer is C) (x, y) → (x – 3, y + 5)

Step-by-step explanation:

got 100% on my e2020 unit test! ;D

Help help help help help

Answers

9x-15=8x+12
9x=8x-3
... x=27

8(27)+12
...
HI= 228

PLEASE HELP

If x = 3x + 4 - 1 , then what does -x equal?

Answers

Answer:

-4/5 = x

Step-by-step explanation:

Answer:

3/2

Step-by-step explanation:

x = 3x + 4 - 1

we can subtract 1 from 4

x = 3x + 3

subtract 3x from both sides

-2x = 3

divide both sides by -2

x = -3/2

so -x would equal -(-3/2) = 3/2

Point A is at (-2, 4) and point B is at (7,3).
What is the midpoint of line segment AB?

Answers

Answer:

(2.5,3.5)

Step-by-step explanation:

Omni calculator

Answer:

(2.5, 3.5)

Step-by-step explanation:

The school flagpole is 28 feet tall. How many yards is that?

Answers

i think the answer is 9.33 recurring :)

Answer: the answer is 9.33---

Factor Completely::::​

Answers

Answer:

x^2(x-9)(x+3) lmk if u need steps

Answer:

x^2 (x+3) (x-9)

Step-by-step explanation:

...............

if i had 39 containers of water and each container held 24 quarts. How many quarts water are in the 39 containers?

Answers

Answer:

936 quarts

Step-by-step explanation:

[tex]n=24*39=936quarts[/tex]

What type of rock do we have in Florida naturally. If it is not this kind of rock someone has brought it here. Group of answer choices A. igneous Rock B. Metamorphic rock C. Spanish Rock D. Sedimentary Rock

(i know its not math but still)

Answers

Answer:

D. Sedimentary Rock

Explanation:

Limestone, various kinds

Hope that helps

Use the distributive property to find two expressions that are equivalent to 73x = 4).​

Answers

Answer:

this is the answer to your question x=73/4; 4/73=1/x

simplify -20y+30/ -2y+6

Answers

Answer:

− 3 5 + 6

Step-by-step explanation:

p.s. give me crown please

Which is equivalent to
4(x + 5)


4x + 9
4x + 20
4x + 5

Answers

the answer is , 4x+20
4x+20 is the correct answer

Find whether the pair of linear equations y = 0 and y = -5 has no solution, unique solution

or infinitely many solutions​

Answers

Answer:

infinitely many solutions​

Answer:

NO SOLUTION

Step-by-step explanation:

Sara ordered 2 slices of pizza and a 12-ounce cola and paid
$3.00. Sydney ordered 3 slices of pizza and 2 12-ounce
colas for $4.75. How much does a slice of pizza cost?

Answers

Answer: a slice of pizza cost $1.25 and a 12-ounce cola cost $0.50.

Step-by-step explanation:

Let slice of pizza cost x and a 12-ounce cola cost y.

Then Sara's order cost: 2x+y=3

and Sydney's order cost: 3x+2y=4.75

From the first equation we have: y=3-2x and put this to the second equation:

3x+2(3-2x)=4.75

3x+6-4x=4.75

x=1.25

y=3-1.25*2=0.50

Answer: a slice of pizza cost $1.25 and a 12-ounce cola cost $0.50.

Which describes the relationship between 1 and 22?
2
O 21 and 2 are complementary angles.
O 1 and 2 are equivalent angles.
O 1 and 2 are adjacent angles.
1 and 2 are supplementary angles.

Answers

Answer:

3rd circule

Step-by-step explanation:

2/5 help me pls hiougfyxydtr6gdxfg

Answers

Answer:

0.4

Step-by-step explanation:

Divide 2 by 5 you'll get 0.4

Give 3 values for x that make the inequality true. x < 3

Answers

Answer:

2, 1, 0

Step-by-step explanation:

they are less than 3 (Please mark brainliest)

Plzz help me plz! I am very bad at math!

Answers

Answer:

D. 4 3/4

Step-by-step explanation:

1+3=4

2/4 + 1/4 = 3/4

hope it helps:)

A turntable rotates at 68 revolutions per minute. What is its angular speed in radians per second?

Answers

Answer:

[tex]\displaystyle \frac{34 \pi}{15} \ \frac{rad}{sec}[/tex]

General Formulas and Concepts:

Math

Dimensional Analysis

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Pre-Calculus

Angular Speed: 2π rad per revolution

Step-by-step explanation:

Step 1: Define

68 revolutions per minute

Step 2: Identify Conversions

2π rad per revolution

60 seconds = 1 minute

Step 2: Convert

[DA] Set up:                                                                                                     [tex]\displaystyle \frac{68 \ rev}{1 \ min} \cdot \frac{2 \pi \ rad}{1 \ rev} \cdot \frac{1 \ min}{60 \ sec}[/tex][DA] Multiply/Divide [Cancel out units]:                                                          [tex]\displaystyle \frac{34 \pi}{15} \ \frac{rad}{sec}[/tex]

What is the length of the hypotenuse of the triangle if Side A = 11 and Side B = 5? What is the length of Side C?

Answers

Answer:

34mx32

Step-by-step explanation:

What is the formula for 3cm, 5cm, and 4cm (3cm being the height and the 4 the base) and its a right triangle

Answers

Answer:

No se perdon nesesito puntos

After the Sutton family finished their meal at a local restaurant, the waiter brought them a check for $48.86. If Mrs. Sutton leaves a 20% tip, what amount of tip wages will the waiter receive?

What will the total meal cost?

How much should you tip a hairstylist, pizza delivery person, and taxi driver?

Answers

Answer:

58.23

Step-by-step explanation:

The amount of tip wages will the waiter receive will be $9.77. Then the total meal cost will be $58.63.

What is the percentage?

The quantity of anything is stated as though it were a fraction of a hundred. A quarter of 100 can be used to express the ratio. Per 100 is what the term percent signifies. The symbol ‘%’ is used to symbolize it.

After the Sutton family finished their meal at a local restaurant, the waiter brought them a check for $48.86. If Mrs. Sutton leaves a 20% tip. Then the amount of the tip will be

Tip = 20% of $48.86

Tip = 0.20 x $48.86

Tip = $9.772

Then the total meal cost will be

Total cost = $48.86 + $9.772

Total cost = $58.63

The amount of tip wages will the waiter receive will be $9.77. Then the total meal cost will be $58.63.

More about the percentage link is given below.

https://brainly.com/question/8011401

#SPJ2

In Ms. Perron’s class, 60% of the students are boys. There are 26 students in the class. What is the total number of boys in Ms. Perron’s class?
Help :'/

Answers

Answer:

Let the no. of students be X.

Boys = 60% of X .

So Boys = (60/100)*X.

So left 40% of students are girls and it is given they are 14.

So total students X= total boys + total girls.

X = (60/100)*X+14.

(40/100)*X = 14.

X = (14*100)/40.

X = 35.

X - (60/100)*X = 14.

Step-by-step explanation:

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