At a local restaurant, the amount of time that customers have to wait for their food is normally distributed with a mean of 18 minutes and a standard deviation of 4 minutes. Using the empirical rule, determine the interval of minutes that the middle 68% of customers have to wait.

Answer:  19.65

Step-by-step explanation:

all you need to do is add 850.99 and 129.36 to get 980.35

then subtract 980.35 and 1000 and you get your answer

Answer:

x=3y/x-4x

Step-by-step explanation:

3x+8=x+6y

2x+8=6y

2x=6y-8

x=3y/x-4x

Answer:

x=3y-4

Step-by-step explanation:

3x+8=x+6y

3x-x=6y-8

2x/2=(6y-8)/2

x=3y-4

Answer:

Mecury

Mars

Venus

Earth

Neptune

Uranus

Saturn

Jupiter

Answer:

\(= \frac{2m^2n^8}{3}\)

Step-by-step explanation:

Given expression is

\((\frac{4m^{-2}n^8}{9m^{-6}n^{-8}} )^{\frac{1}{2}\)

The correct simplified form is shown below:-

From the above equation, we will simplify

we will shift \(m^{-6}\) to the numerator and we will use the negative exponent rule, that is

\(= (\frac{4m^{-2}n^8m^6}{9n^{-8}} )^{\frac{1}{2}\)

now we will shift the \(n^{-8}\) to the numerator and we will use the negative exponent rule, that is

\(= (\frac{4m^{-2}n^8m^6n^8}{9} )^{\frac{1}{2}\)

here we will solve the above equation which is shown below

\(= (\frac{4m^4n^{16}}{9}) ^\frac{1}{2}\)

So,

\(= (\frac{(2)^2(m^2)^2(n^8)^2}{(3)^2} ^\frac{1}{2}\)

Which gives result

\(= \frac{2m^2n^8}{3}\)

Answer:

Step-by-step explanation:

2π√l/g = (2*3.14*sqrt(98))/32 = 10.945

Using the concepts of probability, we got 0.5 is the probability of drawing the sum $20 or more when  two bills are drawn randomly without replacement.

We have an envelope contains 8 bills;

Two of $1 bills, Two of $5 bills, Two of $10 bills, Two of $20 bills.

When two bills are drawn randomly without replacement, we have to find the probability that their sum is $20 or more.

Total  outcomes = 2 x 2 x 2 x 2 = 16

Total possible outcomes, more than 20;

(1, 20), (20, 1), (5, 20), (20, 5), (10, 10), (20, 10), (10, 20), (20, 20) = 8 cases

That is,

The total possible outcomes is 8.

Now,

The probability of bill to be $20 or more = Possible outcome / Total outcome

Probability = 8/16 = 1/2=0.5

Hence, When two bills are drawn randomly without replacement,  the probability that their sum is $20 or more is 0.5.

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(Complete question)

an envelope contains eight bills: 2 ones, 2 fives, 2 tens, and 2 twenties. two bills are drawn at random without replacement. what is  the probability that their sum is $20 or more?

The ratio of LM to FG is 3:4, so correct option is A.

A triangle is a polygon with three sides, three vertices, and three angles. It is one of the basic shapes in geometry and has many properties that make it a useful and interesting shape to study.

The sum of the interior angles of a triangle is always 180 degrees, which is a fundamental property of triangles.

Triangles also have many interesting properties related to their sides, angles, and areas. For example, the Pythagorean theorem states that in a right triangle, the sum of the squares of the lengths of the legs is equal to the square of the length of the hypotenuse. The area of a triangle can be calculated using the formula 1/2(base x height) or by using various trigonometric functions.

Triangles are important in many areas of mathematics and science, such as in geometry, trigonometry, calculus, and physics. They are also commonly used in architecture, engineering, and design.

If LMN and FGH are similar triangles, then the ratio of their areas is equal to the square of the ratio of their corresponding side lengths.

Let x be the ratio of LM to FG. Then the ratio of their areas is (x²).

So we have:

LMN / FGH = 18 / 32

(x²) = 18 / 32

x² = 9 / 16

x = (3 / 4)

Therefore, the ratio of LM to FG is 3:4, which is option A.

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The rotation rule used in this problem is given as follows:

270° counterclockwise rotation.

The five more known rotation rules are given as follows:

Two equivalent coordinates for this problem are given as follows:

A(1, 5) and A'(5, -1).

Hence the rule is:

(x, y) -> (y, -x).

Which is the rule for a 270º counterclockwise rotation.

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The width of a confidence interval decreases as the sample size increases and increases as the confidence level increases.

So, we know that smaller samples result in narrower intervals.

Therefore, a confidence interval narrows as the sample size grows and widens as the level of confidence rises.

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Discrete random variables take on a countable number of distinct values. Therefore, the random variables that are discrete from the given set are:

The number of people riding on a bus: This is a discrete random variable as it can only take on integer values. The number of people on the bus can be 0, 1, 2, 3, and so on, but cannot take on fractional or continuous values.

The number of concert tickets sold: This is also a discrete random variable as the number of tickets sold can only take on integer values. The number of tickets sold can be 0, 1, 2, 3, and so on, but cannot take on fractional or continuous values.

The life span of a parakeet: This is a continuous random variable, as the life span of a parakeet can take on any value within a range of possible values, such as 2.5 years, 3.2 years, or 4.8 years.

The height of a person from a class of eight: This is a continuous random variable, as height can take on any value within a range of possible values, such as 5'7.5", 5'10", or 6'2".

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Answer:

-95

Step-by-step explanation:

4+9(3+11)-15²

So, the order of operations is PEMDAS. The first thing is "P" for Parenthesis, so you would do whatever is in the parenthesis first.

3+11= 14

Now, the expression is 4 + 9 (14) - 15²

The next letter is "E" for Exponents. so the 15² has an exponent, so you do    15 x 15.

4+9(14)-225

Next is "M" for Multiplication. A number next to a parenthesis can mean multiplication as well. So, you do 9 × 14 = 126

Now, it's 4 + 126 - 225

Since there is only addition and subtraction left, you go left to right.

4 + 126 = 130

130 - 225 = -95

Hope this helps !!

-Ketifa

Hey there!

\(\large\textsf{Do PEMDAS to solve!}\\\\\\\large\textsf{PEMDAS simply MEANS....}\\\\\\\large\textsf{Parentheses}\\\\\large\textsf{Exponents}\\\\\large\textsf{Multiplication}\\\\\large\textsf{Division}\\\\\large\textsf{Addition}\\\\\large\textsf{Subtraction}\)

\(\large\textsf{4 + 9(3 + 11) - 15}^\mathsf{2}\)

\(\large\textsf{3 + 11 = \bf 14}\)

\(\large\textsf{= 4 + 9(14) - 15}^\mathsf{2}\)

\(\large\textsf{9(14) = \bf 126}\)

\(\large\textsf{= 4 + 126 - 15}^\mathsf{2}\)

\(\large\textsf{4 + 126 = \bf 130}\)

\(\large\textsf{= 130 - 15}^\mathsf{2}\)

\(\large\textsf{15}^\mathsf{2}\\\large\textsf{= 15}\times \large\textsf{15} \\\large\textsf{= \bf 225}\)

\(\large\textsf{= 130 - 225}\)

\(\large\textsf{= \bf -95}\)

\(\boxed{\boxed{\huge\textsf{Answer: \bf -95}}}\huge\checkmark\)

\(\huge\textsf{Good luck on your assignment \& enjoy your day!}\)

~\(\frak{Amphitrite1040:)}\)

10 mph more unusual.

The standard deviation is a statistic that expresses how much variance or dispersion there is in a group of numbers. While a high standard deviation suggests that the values are dispersed over a larger range, a low standard deviation suggests that the values tend to be near to the mean (also known as the anticipated value) of the collection.

The lower case Greek letter (sigma), for the population standard deviation, or the Latin symbol s, for the sample standard deviation, are most frequently used in mathematical literature and equations to indicate standard deviation. Standard deviation may be written as SD.

EXPLANATION : The speed recordings follow an approximately normal distribution the mean of

100 readings was 2384 mph. with a standard deviation of 3.56mph

The speed limit read 20 mph

We have to find the number of standard deviations from the mean that the car going

under the speed hmit would be

Let the car going under the speed 20mph bey standard deviations away from mean

That is.

20 — 23.84 +y(3.56)

20—2384 —1.078651685

So the car going under the speed limit would be less than or equal to 107865 standard

A car traveling 34 mph

The number of standard deviations from the mean that the car is going at 34mph is given by

That is the car going at 34mph is 2.8539 standard deviations above the mean

A car traveling at 10mph

The number of standard deviations from the mean that the car going at 10mph is given by.

y= 2.8539

That is. the car going at 10mph is 3.8876 standard deviations

We know from the empirical nile that 99.7% of the observations he with in ±3 standard

deviations from the mean for a normally distributed data

But the speed of 10mph is not within these limits, where as 34 mph is within these limits

So the car is  travelling t 10mph is more unusual

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Answer:

(4th option) 254.34 cm

Step-by-step explanation:

Area of a circle = pi (r)^2

r=radius of circle which is half of diameter.

diameter=12+6=18

So, radius is half of 18 = 9

Plug it into the formula:

\(\pi (9)^{2}\)

And you should get 254.34 cm^2

Answer:

Step-by-step explanation:

area of a circle is pi * r^2

r for the big circle is 1/2 of 18 or 9

pi * 9^2 = 254.469

The expression that represents the value of the stock after two years have passed is 1.5498x

Percentage is the fraction of an amount expressed as a number out of hundred. The sign used to represent percentages is %.

The value of the stock after year 1 = worth of the stock when it was bought x (1 + percentage increase in year one)

1.23x

The value of the stock after year 2 = worth of the stock in year 1 x (1 + percentage increase in year two)

1.26 x 1.23x = 1.5498x

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Answer:

Step-by-step explanation:

Sorry I can't explain how it is done. It is very difficult to explain on paper.

1. Using the formula of present value, the amount of the payment is $5000.

2. The interest to be paid in the first year is $1232

1. To calculate the size of the payments for the loan of $16,000 at a rate of 9.0% to be repaid in 4 equal installments, we can use the formula for the equal periodic payment amount on an installment loan. The formula is given by:

Payment = Loan Amount / Present Value Factor

Where the Present Value Factor can be calculated using the formula:

Present Value Factor = (1 - (1 + interest rate)^(-number of periods)) / interest rate

Let's calculate the size of the payments:

Interest Rate = 9.0% = 0.09

Number of Periods = 4

Present Value Factor = (1 - (1 + 0.09)⁻⁴) / 0.09

Present Value Factor = 3.2

Payment = $16,000 / 3.2 = $5000

The payment is $5000

Therefore, the size of the payments would be approximately $4,935.77.

2. Let's find the interest of the first payment;

The interest component of the first payment can be calculated as:

Interest = Loan Amount * Interest Rate

Let's calculate the interest payment:

Loan Amount = $11,000

Interest Rate = 11.2% = 0.112

Interest = $11,000 * 0.112

Interest = $1,232

Therefore, the interest to be paid in the first year would be $1,232.

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The distance between (-6 5) and (-6 -3.5) is 14.71 units

The length of line in an ordered pair is calculated using the formula

d = √{(x₂ - x₁)² + (y₂ - y₁)²}

where

d = distance between the points

x₂ and x₁ = points in x coordinates

y₂ and y₁ = points in y coordinates

distance between points  (-6, 5) and (-6, -3.5) is calculated as follows

d = √{(x₂ - x₁)² + (y₂ - y₁)²}

d =√{(-6 - 6)² + (5 - -3.5)²}

d =√{144 + 72.25}

d = √216.25

d = 14.71 units

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The information that can be illustrated from the table that shows the relationship between x and y is that the expression is y = x + 6.

Expression simply refers to the mathematical statements which have at least two terms which are related by an operator and contain either numbers, variables, or both. Addition, subtraction, multiplication, and division are all possible mathematical operations

Based on the information, at 0, y is 6. At 1, y is 10. It should be noted that the expression will be:

y = x + 6.

This illustrates the expression.

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Answer:

Answer is the second bullet

Step-by-step explanation:

A poll was conducted with 331 Americans who had the option to go to college but did not. The results of the poll showed that 48% of the respondents did not go to college because they could not afford it.

This means that 48% of the 331 respondents chose not to go to college because they did not have the financial means to do so. It is important to note that this result is based on the sample of respondents who were surveyed and may not be representative of the entire population of Americans who did not go to college due to financial reasons.

It is also worth noting that the cost of college can vary widely depending on the institution, location, and field of study, among other factors. Therefore, the financial barriers to college may be different for different individuals and may require different solutions.  

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Full Question: Exercise 6.16 presents the results of a poll where 48% of 331 Americans who decide to not go to college do so because they cannot afford it.

Calculate a 90% confidence interval for the proportion of Americans who decide to not go to college because they cannot afford it, and interpret the interval in context.

lower bound: (please round to four decimal places)

upper bound: (please round to four decimal places) Interpret the confidence interval in context:

90% of Americans choose not to go to college because they cannot afford it

We can be 90% confident that the proportion of Americans who choose not to go to college because they cannot afford it is contained within our confidence interval

We can be 90% confident that our confidence interval contains the sample proportion of Americans who choose not to go to college because they cannot afford it

The histograms typically are used to display continuous measures.

There are different types of charts: histogram, line chart, pie chart, and others.

The histogram is a type of chart used as a tool that provides a way to assess the distribution of data. From this type of chart, a set of data are previously tabulated and divided into classes. In the other words, the histogram is applied to summarize discrete or continuous measures, so it becomes more easily the understand the used data. There are many websites and software that allow the plot of this type of chart.

From the explanation, it is possible to identify the histograms typically are used to display continuous measures.

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Answer:

a i think im sorry if wrong

Answer:

Step-by-step explanation:

The total cost of the items before tax was $1.50 * 4 = $<<1.54=6>>6.

The sales tax was $6 * 8.25% = $<<68.25*.01=0.495>>0.495.

So the total price was $6 + $0.495 = $<<6+0.495=6.495>>6.495.

Answer:

7

Step-by-step explanation:

List out possible numbers that would add to the answer choices and see which has most possibilities

7

3 + 4

5 + 2

1 + 6

10

5 + 5

4 + 6

11

5 + 6

12

6 + 6

Answer:

7

Step-by-step explanation:

Look at where x=-1 and then look at the y-coordinate for that point. That is your answer

Step-by-step explanation:

Answer:

$1.56

Step-by-step explanation:

hope this helps!

Answer:

B

Step-by-step explanation:

Answer:

Two expressions for the perimeter would be

22x+23 and 2x+3x+17x+7+16

Step-by-step explanation:

you want to add the variables of the same kind in this case

2x        

3x         7

17x       16

_________

22x  +     23