A recent survey by the American Automobile Association showed that a family of two adults and two children on vacation in the United States will pay an average of $247 per day for food and lodging with a standard deviation of $60 per day. You can compute the mean food and lodging cost of a 10-day vacation by multiplying the per-day mean by 10. The standard deviation for the 10-day vacation can be found by multiplying by 10 also.
Note: Please make sure to properly format your answers. All dollar figures in the answers need to include the dollar sign and any amount over 1,000 should include the comma ($2,354.67). All percentage values in the answers need to include a percentage sign (%). For all items without specific rounding instructions, round your answers to two decimal places, show both decimal places (5.06).

a. What is the mean for food and lodging for a 10-day vacation? _______

b. What is the standard deviation of the distribution for the 10-day vacation? ______

c. What is the variance of the distribution for the 10-day vacation? ______

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

300 children and 400 adults

Step-by-step explanation:

14(x) + 38(700-x) = 19,400

14x + 26,600 - 38x = 19,400

14x - 38x = -7,200

-24x = -7,200

24x = 7,200

x = 300

x = childrens

700 - x = adults

300 = children

400 = adult

Fractions represent parts of a whole or collection of objects. In the above question the value of x is equals to 9

Fractions represent parts of a whole or collection of objects. A fraction has two parts. The number on the top of the line is called numerator. It tells how many equal parts of whole or collection are taken.  The number below line is called denominator.  It shows total number of equal parts the whole is divided into or the total number of the same objects in a collection.

When whole is divided into equal parts, the number of parts we take makes up a fraction.

In the mathematics, there are three major types of fractions. They are the proper fractions, improper fractions and mixed fractions. Fractions are those terms which have the numerator and denominator. Fractions are the terms used to determine parts of a whole object.

[tex]\frac{x}{3}-3= \frac{x}{9} + 3[/tex]

[tex]\frac{x}{3}- \frac{x}{9} = 3+3[/tex]

[tex]\frac{3x}{9}-\frac{x}{9} = 9[/tex]

[tex]\frac{2x}{9}= 9[/tex]

[tex]x=\frac{9*9}{2}[/tex][tex]=9[/tex]

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[tex]\bold{H \: e \: y \: o \: !}[/tex]

____________________

Let's simplify step-by-step ~

______________________

[tex]\sf{-8 \: + \: 6x \: + \: 5x \: + \: - \: 11 \: - \: 7}[/tex]

[tex]\sf{= -8 \: + \: 6x \: + 5x \: + \: - \: 11 \: + \: - \: 7}[/tex]

_______________________

Combine like terms:

[tex]\sf{= \: -8 \: + \: 6x \: + \: 5x \: + \: - \: 11 \: + \: -7}[/tex]

[tex]\sf{= \: (6x \: + \: 5x) \: + \: (-8 \: + \: -11 \: + \: -7)}[/tex]

[tex]\sf{= \: 11x \: + \: -26}[/tex]

[tex]\huge{\mathcal{\boxed{\rightarrow \: = \: 11x \: - \: 26}}[/tex]

Hope It Helps!

A n s w e r e d : -  ᴀᴅʀɪᴀɴɴᴏɪʀ

517 is real because it can be plotted on a number line.

What in math is an integer?

Which  a real number?

9/517 is real because it can be plotted on a number line,

Its rational because it can be written as a fraction of 2 integers

But it is not an integer.

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Answer:

24.204 < 24.240

Think:

24.204 = 24,204

24.240 = 24,240

Which is greater?

24,240 is.

⇒ Hope this helps!

If you want to have an average of at least 90, the score that you need to get in the last exam is at least 97 points.

We know that the scores on the first 3 exams are 85, 87, and 91.

If the score in the fourth exam is x, then the average of the 4 exams will be:

(85 + 87 + 91 + x)/4

If we want to have an average of at least 90, then we need to solve:

(85 + 87 + 91 + x)/4 = 90

Solving that for x we will get:

(263 + x) = 90*4

x = 90*4 - 263 = 97

The score that you need to get in the last exam is 97 points.

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The value of x for given MOD equation is 1.5.

The portion left over after dividing one integer by another is known as the modulo (or "modulus" or "mod"). As an illustration, 100 9 = 11 with a leftover of 1, hence 100 mod 9 equals 1.

When two numbers are split, the modulo operation in computing yields the remainder or signed remainder of the division (called the modulus of the operation).

According to the given value;

|3x-2|=|x+1|

3x-2=x+1

3x-x=1+2

2x=3

x=3/2 = 1.5

The value of x for given MOD equation is 1.5.

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Answer:

468.1

Step-by-step explanation:

good luckkk

Answer:

468.1

Step-by-step explanation:

rounding to the nearest tenth

Answer:

6:21

Step-by-step explanation:

because there is 6 roses and 21 other types 6/21 = 6:21

Answer:

6:21

ratio indicates how many times one number contains another.

it can be simplified to 2:7, because the HCF of 6 and 21 is 3, it's been divided by 3.

hope it helps.

The phrase that best relates to the term "Globalization" is "Improved incomes for poor people in all countries".

As per the question statement, we are provided with the term of "Globalization" and we are required to match it with the best possible phrase from the four options provided.

Option (A) is "More unequal distribution of natural resources" which is incorrect because unequal distribution does not depend on globalization but on the size of the company and their effects on the environment.

Option (C) is "Decreased competition for small businesses" which is incorrect because this will increase the competition for small business.

Option (D) is "Decreased demand for natural resources" which is incorrect, since globalization speeds up the exchange of capital-labor production which requires more natural resources rather than their decrease.

Option (B) is "Improved incomes for poor people in all countries" which is the correct match, because globalization's main character is economic growth which directly affects the totally population of a country including the poor as the country becomes open to trade and then tends to work faster than the time when it was not open to trade, and this creates job opportunity for the people and helps in increasing the living standard of the people.

Hence, the best possible match to the term "Globalization" is "Improved incomes for poor people in all countries".

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Answer:

More unequal distribution of natural resources

Step-by-step explanation:

For a dish that is containing bacteria has a diameter of 0.0001 kilometer. The diameter of a bacterium is 10^-16, the number of times that the diameter would be larger is 10¹² times.

We have the diameter of the dish to be 0.0001

This is the same as 10⁻⁴

The bacterium has the diameter at 10^-16

The difference between the diameter of the dish than the bacterium would be solved by

1 x 10⁻⁴ / 10^-16

= 10¹²

Hence we would have to say that for a dish that is containing bacteria has a diameter of 0.0001 kilometer. The diameter of a bacterium is 10^-16, the number of times that the diameter would be larger is 10¹² times.

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Answer:

28

Step-by-step explanation:

4 x 7 = 28

The scale factor from the blue prints to the actual mall is 1:100.

From the information, the blue prints (scale drawing) of a new strip mall are 2 feet by 9 feet and the actual strip mall is 200 feet by 900 feet.

Therefore, the scale factor from the blue prints to the actual mall will be:

= 200 / 2

= 100

Therefore, the scale factor from the blue prints to the actual mall is 1:100.

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The value of 650 ft.² divided by 2/3 of an hour is 975 ft² per hour

The mathematical statement is given as

650 ft.² divided by 2/3 of an hour

This can be represented properly as:

650 ft.² / 2/3 of an hour

2/3 of an hour is

2/3 of an hour = 2/3 hr

So, we have

650 ft.² / 2/3 of an hour = 650 ft.² / (2/3 hr)

Evaluate the quotient

650 ft.² / 2/3 of an hour = 975 ft² per hour

Hence, the value of 650 ft.² divided by 2/3 of an hour is 975 ft² per hour

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Answer:

Approximately $2,039.30

Step-by-step explanation:

Original value = $2,486.95

Value lost = 18%

100% value = $2,486.95

100% - 18% = 82% value remaining

.82 x 2,486.95 = 2039.299 or $2,039.30

Answer:

va de 3 Ok qjwjqjwjwjsjsh

Step-by-step explanation:

wjwjwjwhwhwjjde

He will receive $ 9 when he exchanges 100 pesos for American dollars.

We are given that:

Levant received 3000 Mexican pesos for 270 American dollars.

So, by using the unitary method, we will calculate the rate of 1 Mexican pesos for American dollars.

So, we get that:

3000 Mexican pesos = $ 270

1 Mexican Peso = $ 270 / 3000

1 Mexican Peso = 0.09

Now, we are also given that Levan has 100 pesos left.

So,

100 pesos = $ 0.09 × 100

100 pesos = $ 9

Therefore, he will receive $ 9 when he exchanges 100 pesos for American dollars.

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Step-by-step explanation:

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after simplifying the expression sinx + cotx cosx, we get the result as cosec x.

We are given the expression:

sinx + cotx cosx

We need to simplify the expression.

We know that cot x can also be written as

cot x = cos x / sin x

Substituting it in the expression, we get that:

= sin x + ( cos x / sin x ) cos x

opening the brackets, we get that:

= sin x + cos² x / sin x

= (sin² x + cos² x ) / sin x

Using the trigonometric identity that sin² x + cos² x = 1, we get that:

= 1 / sin x

= cosec x

Therefore after simplifying the expression sinx + cotx cosx, we get the result as cosec x.

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Accounts Payable may sometimes include non-current or long-term payables in certain circumstances is False

Non-current or long term  liabilities are obligations to be paid after 12 months or a operational cycle. It is opposite of current liabilities, where the debts are short-term and its maturing is within twelve months.

Non-current liabilities arises when the company is using  long term loans for the business requirements. Businesses may also require to finance the capital expenditure from time to time.

Accounts payable shows that the purchases that are unpaid by the organization . The accounts payable is the most important portion of the current liabilities of the company’s financial statements.

The business rules states that short term obligations shall be fulfilled out by current assets.

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Answer  

the answer to the question is -5

Step-by-step explanation:

Answer:

42% is less than 5/8

Step-by-step explanation:

If 42% is converted to a fraction, it comes out to 21/50, which is smaller than 5/8. You could also convert 5/8 into a percentage, which comes out to 62.5%. :)

Answer:

42% < 5/8

Step-by-step explanation:

We're going to change 5/8 to a percent. All you have to do is 5/8, which is 0.625. If you want to convert a decimal to a fraction, you move the decimal 2 places to the right, which is 62.5. Therefore, 42% is less, or < than 5/8.

The perimeter and the area of the figure are 36 meters and 48 square meters

Perimeter

This is the sum of the side lengths of the figure

So, we have

Perimeter = 7m + 6m + 7m + 6m + 5m + 5m

Evaluate

Perimeter = 36 meters

Area

This is the sum of the areas of the shapes that makes up of the figure

So, we have

Area = Area of rectangle + Area of triangle

This gives

Area = 7 * 6 + 0.5 * (6/2) * (11 - 7)

Evaluate

Area = 48 square meters

Hence. the perimeter and the area of the figure are 36 meters and 48 square meters

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Answer:

The expression that shows a valid step in

the process of finding the decibel level of the noise is dB = 10 log 150,000. Option C is correct

Given the equation for calculating the intensity of sound which is measured in decibel expressed as:

dB=10 log l

where;

I is the ratio of the sound to the human hearing threshold

Given that noise is 150,000 times greater than the human hearing threshold.

Substitute | = 150,000 into the expression above;

dB = 10 log 150,000

If this is correct, brainliest please.

If a manufacturer manufactures 5,000 dozen of sweaters, and sells 3,000 dozen of them only, then the total profit he/she earns from the these sweaters is [1000(3x - 5y)], assuming that the cost of manufacturing one sweater is "x" and the selling price of that sweater is "y".

As per the question statement, a manufacturer miscalculates the demand of the market and manufactures 5,000 sweaters, but sold only 3000 of them.

We are required to calculate the total profit earned by the manufacturer from the sale of the sweaters.

Since, no data about the manufacturing cost of the sweaters and their selling price is provided in the question statement, let us assume that the cost of manufacturing one sweater is "x" and the selling price of that sweater is "y". Solving with these variables will give us a generalized answer which we can use for any value.

Now, Since assumed that, manufacturing cost of one sweater is "x", then, manufacturing cost of 5000 sweaters will be [tex](5000*x)=5000x[/tex].

Similarly assumed that, selling cost of one sweater is "y", and then, selling cost of 3000 sweater will be [tex][(3000*y)=3000y][/tex].

Now, we know that,

[Profit = (Total Selling Cosy) - (Total Manufacturing Cost)],

Therefore, in this case, total profit from the sale of 3000 sweaters

[tex]=(3000y-5000x)\\=1000(3y-5x)[/tex].

Now, on using real integers or numbers in place of "x" and "y", if the value of Profit comes negative, it will mean, that for those values of "x" and "y", the manufacturer makes loss, not profit.

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Answer:

yes it is a right triangle because it forms a right angle between the 6 cm and 7 cm.

Answer:

yes

Step-by-step explanation:

draw the symbol for the 90 degrees in the part between 6 and 7