The average amount of money spent for lunch per person in the college cafeteria is $5. 97 and the standard deviation is $2. 25. Suppose that 46 randomly selected lunch patrons are observed. Assume the distribution of money spent is normal, and round all answers to 4 decimal places where possible.


What is the distribution of X? X~ N(_______,_______)


What is the distribution of ¯x? ¯x~ N(______,_____)


For a single randomly selected lunch patron, find the probability that this patron's lunch cost is between $6. 4225 and $6. 5884.


For the group of 46 patrons, find the probability that the average lunch cost is between $6. 4225 and $6. 5884

Answers

Answer 1

We determined that the probability of lunch cost is between the above-mentioned value is P (0.2011 < Z < 0.2748)

What is probability and statistics?

Probability is the possibility of happening an event. It is expressed as the ratio of the number of favorable outcomes to the total possible outcome.

We can find probability from a statistical data based on the mean value and standard deviation.

What is the probability of the given data?

given, average cost for lunch per person = mean value = $5.97

standard deviation of cost = $2.25

number of samples = 46

assume distribution of money spent is normal.

the probability of a single lunch patron that has a cost between $6.4225 and $6.5884 can be calculated by the following way.

Z-score = (actual price - mean price) / standard deviation

Z-score when actual price is $6.4225.

 

                    Z = ($6.4225 - $5.97) / $2.25

    Z = 0.2011

Now, Z-score when actual value is $ 6.5884.

 Z = ($6.5884 - $5.97) / $2.25

Z = 0.2748

If actual value is denoted by X than the probability is shown as

P (6.4225< X< 6.5884) and P (0.2011< Z< 0.2748)

For the group of 46 patrons the above probability is also the same.

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Related Questions

get the standard form and slope-intercept form
1. 5x - 6y - 12 = 0
2. y - 2 = 2/3 (x+3)
3. y -9 = 1/7 (x+4)
4. y-8 = - 7/2 (x - 2)

Answers

Answer: To obtain the standard form of a linear equation, we want to rearrange the equation in the form Ax + By = C. Here are the standard forms of the given equations:

5x - 6y = 12

3y - 2x - 6 = 0

7x + y - 63 = 0

14x - y + 16 = 0

To obtain the slope-intercept form of a linear equation, we want to rearrange the equation in the form y = mx + b, where m is the slope and b is the y-intercept. Here are the slope-intercept forms of the given equations:

There is no y-intercept, so this equation does not have a slope-intercept form.

y = (2/3)x + 2

y = (1/7)x + 9

y = (-7/2)x + 8

Step-by-step explanation:

A stack of 200 file folders is 5. 125 inches tall. A. Elena guesses that each file folder is 0. 035 inches thick. Explain how you know that Elena’s answer is not correct

Answers

To know whether Elena is correct or not, you need to find out the height of each stack of file folder.

Assume that all 200 files have the same height.

Let the height of each file folder be m inches.

So, by unitary method the height of each file folder would be,

m = Total height of stack / Number of file folders

here, the total height of stack = 5.125 inches

And the number of file folders = 200

So, m = 5.125 / 200

m = 0.0256 inches

But Elena guesses that each file folder is 0. 035 inches thick.

This means, Elena is wrong as the answer Elena gave is too large than the actual answer.

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8.5x + 0.5 + 3.5x - 2x

Answers

Answer:

-0.05

Step-by-step explanation:

10x+0.5

10x=-0.5

x=-0.5/10

x=-0.05

The answer is -0.05 because you do the math in your head and you get the answer by using the things you were taught

A florist sells a bundle of 12 sunflowers for $9. You can also buy single sunflowers at the same rate. Fill in the table below

Number of sunflowers: Cost ($): Unit rate ($ per sunflower):
2
4
6
8
10
12

Answers

Answer:

3$:4

Step-by-step explanation:

12/3= 4  9/3= 3

3$:4

(look at photo)
iready level h compare functions quiz

Answers

Answer:

So I would say when the number of classes is lower fishing is less expensive and when the number of canoeing classes is lower it's less expensive

Step-by-step explanation:

You have to make sure to pay attention to the label and the points in the graph and the table

Last Wednesday two friends met up after school to read a book they were both assigned in literature class. Julie can read 3 pages per minute and she has already resd 9 pages. Cassie who has a reading speed of 2 pages per minute, had read 35 pages. Eventually they had read the same number of pages. How many pages had each of them read? How long did it take?

Answers

Julie read 79 pages after 26 minutes and Cassie read 79 pages after 26 minutes.

What are linear equations?

A linear equation is a mathematical equation that can be written in the form of Ax + By = C, where A, B and C are constants and x and y are variables.

Let's call the number of pages that both friends read x. We know that Julie's reading speed is 3 pages per minute and Cassie's reading speed is 2 pages per minute.

We can set up the equation:

x = 3t + 9 (where t is the time in minutes that Julie takes to read x pages)

x = 2t + 35 (where t is the time in minutes that Cassie takes to read x pages)

We know that they read the same number of pages, so we can set the two equations equal to each other:

3t + 9 = 2t + 35

We can then solve for t:

t = 26 minutes

So it took them 26 minutes to read the same number of pages. We can use that value to find the number of pages that they read:

x = 3t + 9 = 3(26) + 9 = 79 pages

Hence, Julie read 79 pages after 26 minutes and Cassie read 79 pages after 26 minutes.

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Julie read 79 pages after 26 minutes and Cassie read 79 pages after 26 minutes.

What are linear equations?

A linear equation is a mathematical equation that can be written in the form of Ax + By = C, where A, B and C are constants and x and y are variables.

Let's call the number of pages that both friends read x. We know that Julie's reading speed is 3 pages per minute and Cassie's reading speed is 2 pages per minute.

We can set up the equation:

x = 3t + 9 (where t is the time in minutes that Julie takes to read x pages)

x = 2t + 35 (where t is the time in minutes that Cassie takes to read x pages)

We know that they read the same number of pages, so we can set the two equations equal to each other:

3t + 9 = 2t + 35

We can then solve for t:

t = 26 minutes

So it took them 26 minutes to read the same number of pages. We can use that value to find the number of pages that they read:

x = 3t + 9 = 3(26) + 9 = 79 pages

Hence, Julie read 79 pages after 26 minutes and Cassie read 79 pages after 26 minutes.

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Ashley is selling handmade jewelry to earn money for camp. Bracelets sell for $7.62 and
necklaces sell for $15.67, and she needs to make at least $450 in revenue to cover the cost
of camp.
Write the inequality in standard form that describes this situation. Use the given numbers and
the following variables.
X
= the number of bracelets
V
= the number of necklaces

Answers

Equation for the sentence's inequality are $7.62 and necklaces are $15.67, which means that 7.62x + 15.67y >= 450.

what is inequality ?

An inequality in mathematics is a relationship between two expressions or values that is not equal. Thus, imbalance leads to inequality. An inequality creates the link between two values that are not equal in mathematics. Egality is distinct from inequality. When two values are not equal, most commonly use the not equal symbol (). Different inequalities are used to contrast values, no matter how small or large. Many simple inequalities can be resolved by modifying the two sides until the variables are all that remain. But a number of things contribute to inequality: Negative values on both sides are divided or added. Trade off the left and right.

given

let X =  the number of bracelets

let Y =  the number of necklaces

The inequality equation = 7.62x + 15.67y >= 450

Equation for the sentence's inequality She needs to generate at least $450 in revenue because bracelets are $7.62 and necklaces are $15.67, which means that 7.62x + 15.67y >= 450.

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200 T-hirt have been bought for a Fun Run at a cot of £400 plu VAT at

17. 5%. The cot of entry for the run i £5 per peron. What i the minimum number of entrie needed in order to cover the total cot of the T-hirt?

Answers

The minimum number of entries needed in order to cover the total cost of the T-shirts is 94.

What is linear inequality?

A linear inequality is an inequality that can be written in the form of

ax + b > c or ax + b < c or ax + b = c

Where x and y are variables and a,b,c are constants.

The cost of the T-shirts plus VAT is £400 + (17.5/100) * £400 = £400 + £70 = £470

In order to cover the total cost of the T-shirts, you need to find out how much money you will make from the entry fees.

Let's call the number of entries N. The total revenue from the entry fees is N * £5 = £5N

So, in order to cover the cost of the T-shirts, the revenue from the entry fees must be greater than or equal to the cost of the T-shirts plus VAT:

£5N ≥ £470

To find the minimum number of entries needed, you can divide both sides of the inequality by 5:

N ≥ £470 / £5

N ≥ 94

Hence, the minimum number of entries needed in order to cover the total cost of the T-shirts is 94.

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The minimum number of entries needed in order to cover the total cost of the T-shirts is 94.

What is linear inequality?

A linear inequality is an inequality that can be written in the form of

ax + b > c or ax + b < c or ax + b = c

Where x and y are variables and a,b, and c are constants.

The cost of the T-shirts plus VAT is £400 + (17.5/100) * £400 = £400 + £70 = £470

In order to cover the total cost of the T-shirts, you need to find out how much money you will make from the entry fees.

Let's call the number of entries N. The total revenue from the entry fees is N * £5 = £5N

So, in order to cover the cost of the T-shirts, the revenue from the entry fees must be greater than or equal to the cost of the T-shirts plus VAT:

£5N ≥ £470

To find the minimum number of entries needed, you can divide both sides of the inequality by 5:

N ≥ £470 / £5

N ≥ 94

Hence, the minimum number of entries needed in order to cover the total cost of the T-shirts is 94.

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Given that a 19. 00 g milk chocolate bar contains 11. 50 g of sugar, calculate the percentage of sugar present in 19. 00 g of milk chocolate bar keeping in mind that the answer should have four significant figures (two decimal places). Express your answer numerically to four significant figures

Answers

The percentage sugar of 19. 00 g milk chocolate bar is 60.53%. The value of 60.53 is rounded to two decimal points.

What does mean of two decimal points?

To make decimal values simpler to grasp and utilise in calculations, they are frequently rounded off. The second place to the right of the decimal point, or the hundredths place, is used to round a decimal value to two decimal places. For instance, you can round 2.83620364 to two decimal places as 2.84 and 0.7035 to two decimal places as 0.70. If you look closely, you'll see that we changed 2.83 to 2.84 by adding a single digit to the first number's hundredths position. However, we did not add 1 to the digit at the hundredths place of the second integer (i.e 0).

Given that a chocolate bar with a weight 19.00 gram milk, contains 11. 50 g of sugar.

To find the percentage, we will calculate the amount of suger in 100 gram of chocolate bar in the same ratio..

19.00 gram milk chocolate bar contains 11. 50 g of sugar.

Apply unitary method:

1 gram milk chocolate bar contains 11. 50/19 g of sugar.

100 gram milk chocolate bar contains (11. 50/19) × 100 g of sugar.

                                                                = 60.526

The digit at the thousandth place of the number 60.526 is 6 which is more than 5. thus add 1 with the hundredth place digit to round to two decimal places.

60.526  ≈ 60.53

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A mathematics teacher wanted to see the correlation between test scores and homework. The homework grade (x) and test grade (y) are given in the accompanying table. Write the linear regression equation that represents this set of data, rounding all coefficients to the nearest tenth. Using this equation, find the projected test grade, to the nearest integer, for a student with a homework grade of 80.



Regression Equation:

Final Answer:

Answers

on solving the equation, we have therefore the value of x from the given equation comes out to be 13.5

What is equation?

An equation is a formula in mathematics that joins two statements with the equal symbol = to represent equality. The definition of an equation in algebra is a mathematical statement proving the equality of two mathematical expressions. In the equation 3x + 5 = 14, for instance, the terms 3x + 5 and 14 are separated by an equal sign. The link between two phrases on either side of a letter is expressed mathematically. There is often only one variable, which is also the symbol. instance: 2x - 4 Equals 2.

equation given is 3(x+2)=7x-48

value of x

[tex]3(x+2)=7x-48\\ 3x+6=7x-48\\7x-48-3x-6=0\\ 4x-54=0\\ 4x=54\\ x=54/4\\ x=13.5\\[/tex]

value of x from the given equation comes out to be 13.5

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RADIO FRIENDS Polly, Autumn, and Terry each have a two-way radio with a two-mile range. Their houses are located as shown, with Autumn and Polly being two miles apart. Which friends can talk with each other on the radio?

Answers

Autumn and Terry can talk because the distance between them is 2 miles

Polly and terry can not talk because the distance between them is 2.27 miles.

Polly and Autumn's distance can talk because the distance between them is 1.56 miles.

What is a triangle?

It is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.

We have,

Autumn and Terry distance = 2 mile

Polly and Autumn's distance = x miles

Polly and terry's distance = y miles

Now,

Applying the Sin rule of a triangle.

2 / sin 59° = x / sin 42° = y / sin 79°

2 / 0.86 = x / 0.67 = y / 0.98

Find x.

2 / 0.86 = x / 0.67

x = 1.56

Find y.

2/0.86 = y / 0.98

y = 2.27

Now,

Polly and Autumn's distance is 1.56 miles.

This means they can talk.

Polly and terry's distance is 2.27 miles.

This means they can not talk.

Thus,

Polly and Autumn can talk.

Polly and terry can not talk.

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what is 7/8 x 40 equal.

Answers

7/8 x 40 is 35 ik because i had this question on a test

Question 12(Multiple Choice Worth 4 points) (02.01 LC) Which sampling method is the most appropriate in studying the opinions of stay-at-home mothers in all towns across the country? Simple random sampling, because the people in the sample are accessible and available Stratified sampling, because there are specific subgroups to investigate Systematic sampling, because of the ease in selecting every nth person Cluster sampling, because the studied population is spread across a wide area such that simple random sampling would be difficult to implement All the above sampling methods

Answers

The option 1 "Simple random sampling, because the people in the sample are accessible and available" is correct for the most appropriate in studying the opinions of stay-at-home mothers in all towns across the country.

In the given question, we have to find which sampling method is the most appropriate in studying the opinions of stay-at-home mothers in all towns across the country.

As we know that, you must carefully consider how you will choose a sample that is representative of the group as a whole if you want to make accurate conclusions from your data. It is known as a sampling method.

Every individual in the population has an equal chance of being chosen in a simple random sample. The entire population should be included in your sampling frame.

You might utilize instruments like random number generators or other methods that just rely on chance to carry out this kind of sampling.

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The complete question is:

Which sampling method is the most appropriate in studying the opinions of stay-at-home mothers in all towns across the country?

(1) Simple random sampling, because the people in the sample are accessible and available

(2) Stratified sampling, because there are specific subgroups to investigate

(3) Systematic sampling, because of the ease in selecting every nth person

(4) Cluster sampling, because the studied population is spread across a wide area such that simple random sampling would be difficult to implement

(5) All the above sampling methods

Terry had to travel outh 50 mile and then wet 25 mile. Find the hortet ditance between the tart and end point

Answers

Shortest distance between start and end point is 55.9 miles

According to given statement,

Terry had to travel south 50 miles and then west 25 miles.

We are taking X as a start point and Z is end point.

In triangle XYZ, we are taking angle Y to be of 90 degrees, which qualifies the Triangle XYZ to qualify Pythagorean theorem [The Pythagorean theorem, sometimes known as Pythagoras' theorem, is a basic relationship between a right angle triangle's three sides in Euclidean geometry. According to this statement, the areas of the squares on the other two sides add up to the size of the square whose side is the hypotenuse.]

XY = 50 miles

YZ= 25 miles

XZ^2 = XY^2 + YZ ^2

XZ^2 = (50) ^2 + (25) ^2 = 3125

XZ = 55.9

Shortest distance between start and end point is 55.9 miles

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On Friday, Tyler came up with the expression t= -0.5(1-2h) to represent the temperature change. His math teacher came up with the expression t= 4(2h+2) - 7h - 8.5 for the same day. Are these expressions equivalent or not?

Answers

Answer:

no

Step-by-step explanation:

x^5 multiplied by x^3 /x^4

Answers

Answer:

x^4

Step-by-step explanation:

[tex]x {}^{5} \times \frac{x {}^{3} }{x {}^{4 \\ } } \\ \\ \frac{ {x}^{8} }{x {}^{4} } \\ \\ x {}^{8 \: - \: 4} \\ {x}^{4} [/tex]

The temperature of the water in a hot water tank is recorded at 15 minute intervals after the heater is switched on. \begin{matrix} \text{Time (x minutes)} & \text{15} & \text{30} & \text{45} & \text{60} & \text{75} & \text{90}\\ \text{Temperature} (y ^\circ C) & \text{20} & \text{30} & \text{40} & \text{50} & \text{60} & \text{70}\\ \end{matrix} Time (x minutes) Temperature(y ∘ C) ​ 15 20 ​ 30 30 ​ 45 40 ​ 60 50 ​ 75 60 ​ 90 70 ​ a. Plot a graph of these data on your GDC. b. Find the linear model, T(x), for the temperature of the liquid with respect to time. c. Find the temperature of the water after 85 minutes.

Answers

Answer: a. Plotting a graph of the data on a graph paper, you can represent the time on the x-axis and the temperature on the y-axis. And plot the given points (15,20), (30,30), (45,40), (60,50), (75,60), (90,70) as ordered pairs on the graph. This will give you a line graph, showing the temperature increasing over time.

b. To find the linear model, T(x), for the temperature of the liquid with respect to time, you can use the slope-intercept form, y = mx + b, where y is the temperature, x is the time, m is the slope and b is the y-intercept. Using two of the given points, you can find the slope of the line by calculating the change in y over the change in x,

m = (y2 - y1) / (x2 - x1).

where x1,y1 and x2,y2 are two distinct points on the graph.

Once you have the slope, you can use one of the points to find the y-intercept, by substituting the point's coordinates into the slope-intercept form equation and solving for b.

Once you have the slope and y-intercept, you can write the linear model as T(x) = mx + b

c. To find the temperature of the water after 85 minutes, you can substitute the value of x = 85 into the linear model equation that you found in the previous step to get the corresponding value of y (temperature).

Please keep in mind that the temperature and time value here are random and are not based on any real-life scenario, and they were provided to show you the concept of linear model.

Step-by-step explanation:

help help help help help

Answers

y-1=2/3(x-14)

y-1=2/3x-28/3

+1 +1

y=2/3x-25/3
hope that makes sense :)

Baldwin took a total of 35 quizzes over the course of 7 weeks. After attending 9 weeks of school this quarter how many quizzes will Baldwin have taken in total

Answers

The total number of quizzes in 9 weeks will be 45.

What is an expression?

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that Baldwin took a total of 35 quizzes over the course of 7 weeks. After attending 9 weeks of school this quarter.

The number of quizzes in 9 weeks will be,

7 weeks = 35 quizz

1 week = 35 / 9 quizz

9 week = ( 35 x 7 ) / 9

9 weeks = 45 quizzes.

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A park recreation manager wants to reshape a square sandbox. The new sandbox will have one side 4 feet longer and the adjacent side 5 feet longer than

sandbox will be 38 square feet greater than the area of the original sandbox.

5 ft

What are the dimensions in ft of the original sandbox

Answers

The dimensions of the original sandbox was 2 ft X 2 ft..

Let, The original has a length of Xft and a width of Xft

The area of original sandbox is X^2 ft^2

As per given statement,

The new sandbox would have a length of (X+4)ft and a width of (X+5)ft

So, the area of new sand box would be: (X+4)(X+5) ft^2

Given, the area of new sandbox will be 38 square feet greater than the area of the original sandbox.

so,

X^2+38 = (X+4)(X+5)

or, X^2+38 = X^2 + 9X + 20

Eliminating X^2 from both side

0r, 9X+ 20 = 38

0r, 9X = 18

0r, X = 18/9 = 2

So, we assumes that the original has a length of Xft and a width of Xft

then the dimensions of the original sandbox was 2 ft by 2 ft.

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2 An experimental airplane is flying at an altitude of 8,000 feet when it begins descending to land. If the plane descends at a constant rate of 125 feet per minute, how long will it take to land the plane? A. Estimate the quotient. Explain how you found your estimate. B. How do you decide where to place the first number in the quotient? C. How long will it take the plane to land? How can you use your estimate to check if your answer is reasonable? 125 8000 500 0​

Answers

Step-by-step explanation:

Which explanation can be used to informally derive the formula for the volume of a cylinder? Responses A cylinder consists of 2 circles on the top and the bottom. Determine the circumference of each circle and add the circumferences together. To get the body of the cylinder, multiply it by the height of the cylinder. A cylinder consists of 2 circles on the top and the bottom. Determine the circumference of each circle and add the circumferences together. To get the body of the cylinder, multiply it by the height of the cylinder. A cylinder is similar to a triangular prism except it does not have edges. The volume of a cylinder can be found by using the volume of a triangular prism. However, instead of using the base length of the triangle, use the radius of the cylinder. A cylinder is similar to a triangular prism except it does not have edges. The volume of a cylinder can be found by using the volume of a triangular prism. However, instead of using the base length of the triangle, use the radius of the cylinder. A cylinder is approximately equivalent to 3.5 spheres of the same radius stacked on top of each other. The volume of a cylinder is the volume of a sphere times 3.5. A cylinder is approximately equivalent to 3.5 spheres of the same radius stacked on top of each other. The volume of a cylinder is the volume of a sphere times 3.5. A cylinder is like a stack of circles. The volume of a cylinder would be the area of the circle times the height of the cylinder. The height of the cylinder represents how many circles are in the stack. A cylinder is like a stack of circles. The volume of a cylinder would be the area of the circle times the height of the cylinder. The height of the cylinder represents how many circles are in the stack.

Answers

The explanation can be used to informally derive the formula for the volume of a cylinder, which is the correct answer would be option (D).

What is a cylinder?

Usually, a cylinder was a three-dimensional solid, one of the most fundamental curvilinear geometric forms. It is a prism with a circle as its basis in elementary geometry. In some recent fields of geometry and topology, a cylinder can alternatively be defined as an infinite curved surface.

Given that, Which explanation can be used to informally derive the formula for the volume of a cylinder

We know that the volume of a cylinder = πr²h

So, consider option (D).

A cylinder is similar to a circular stack. The volume of the cylinder would be equal to the area of the circle multiplied by the cylinder's height. The height of the cylinder reflects the number of circles in the stack.

Therefore, we get the formula πr²h, where πr² represents the area of the circle and h the height of the circle.

Hence, With this reasoning, we may get the formula for cylinder volume informally.

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you and three friends spent $35 on tickets at the movies. Write and solve an equantion to find the price p of one ticket

Answers

Answer:

35/4=8.75

Step-by-step explanation:

You and your 3 friends add up to 4 people so you do 35 divided by 4 and get 8.75

Answer:

Step-by-step explanation:

35/3 = p

p = 11.67 per person

Select all the inequalities that have the same graph as x<4

Answers

The inequalities that have the same graph as x<4 are:

x+6 < 105x < 20 x-2 > 2

Hence, option(B) , (C) and (D) are correct.

What is inequality?

An inequality in mathematics is a relation that compares two numbers or other mathematical expressions in an unequal way. The majority of the time, size comparisons between two numbers on the number line are made.

x +6 < 10 ⇒ x < 10-6 ⇒ x < 4

5x < 20 ⇒ x< 20/5 ⇒ x < 4.

x-2 > 2 ⇒ x < 2 + 2 ⇒ x < 4.

Hence, option(B) , (C) and (D) are correct.

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Your question is incomplete but most probably the question was:

Select all the inequalities that have the same graph as x <4.

A. x < 2.

B. x+6 < 10

C. 5x < 20

D.  x-2 > 2

E. x <8

The school surveillance camera was able to capture an image of the suspect. The image
shows the thief standing next to the gym door. In real life the door measures 84 inches but
is 14 cm in the image. If your suspect is 10.83 cm in the photo. How many inches tall are
they in real life? (Round to nearest whole inch.) Report the height in feet and inches. Ex.
"2 feet 5 inches"

Answers

Answer:

77.4 inches

6 feet 4 inches

Step-by-step explanation:

what persent of 14 is 10.83 is 77.35

what persent of 84 is 77.3571428571 is 92.08

what is 92.08% of 84 is 77.34

77.34 inches to feet is 6 feet and 4 inches

I NEED HELP!!
1ST QUESTION
a). 5 divided by 3/10
b.) 5 divided by 9/10​

Answers

Answer:

a) 5 divided by 3/10

To solve this problem, we need to perform the division first, followed by the division. Dividing 5 by 3/10, we have:

5 / (3/10) = (5*10)/3 = 50/3

Simplifying, we have:

50/3 = 16 2/3

Therefore, the result of 5 divided by 3/10 is 16 2/3.

b) 5 divided by 9/10

To solve this problem, we need to perform the division first, followed by the division. Dividing 5 by 9/10, we have:

5 / (9/10) = (5*10)/9 = 50/9

Simplifying, we have:

50/9 = 5 5/9

Therefore, the result of 5 divided by 9/10 is 5 5/9.

Step-by-step explanation:

Answer:

a).5 divided by 3/10

= 16.6666666667

And,

b).5 divided by 9/10

=4.5

Can u please help.........................

Answers

The triangle ABC, along with it's image after the reflection x = -3, is given on the graph presented at the end of the answer.

How to obtain the image of the triangle?

The coordinates for the original vertices of the triangle are given as follows:

A(-5, -6), B(-4, -3) and C(-3,-7).

The reflection line is given as follows:

x = -3.

The reflection lines is a vertical line, meaning that for the reflected triangle, the y-coordinate remains constant, while the x-coordinate means that the triangles will be on the same distance relative to the reflected line, however on the opposite direction.

Vertex A has a x-coordinate two units left of x = -3, hence the coordinates of the image will be two units right, hence:

A'(-3 + 2, -6) = (-1, -6).

Vertex B has a x-coordinate one unit left of x = -3, hence the coordinates of the image will be one unit right, hence:

B'(-3 + 1, -3) = B'(-2,-3).

Vertex C remains at the same position, as it has a x-coordinate of -3.

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Cars enter a car wash at a mean rate of 4 cars per half an hour. What is the probability that, in any hour, exactly 4 cars will enter the car wash? Round your answer to four decimal places.

Answers

The probability that exactly 4 cars will enter the car wash in an hour is 0.195

What is the probability that, in any hour, exactly 4 cars will enter the car wash?

Generally, This is a Poisson process, where the mean number of cars entering the car wash is 4 cars per hour. The probability of exactly 4 cars entering in an hour is given by the Poisson probability mass function:

P(X = 4) = (e^(-4) * 4^4) / 4!

where e is approximately 2.71828, and 4! is

4 * 3 * 2 * 1 = 24.

Plugging in the values, we get:

P(X = 4) = (2.71828^(-4) * 4^4) / 24

P(X = 4) =0.195

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Find the measure of x.
14
X
48
x = [?]

Answers

Answer:

18.84

Step-by-step explanation:

x is the hypotenuse of the triangle.

For the 48° angle, 14 is the opposite leg.

The trigonometric ratio that relates the opposite leg to the hypotenuse is the sine.

sin 48° = opp/hyp

sin 48° = 14/x

x × sin 48° = 14

x = 14/sin 48°

x = 18.84

Convert 1.45454... into a ratio of two integers. Enter your answer as a fraction in lowest terms.​

Answers

Answer:

16/11

Step-by-step explanation:

Let x = 1.45454...

Multiply both sides by 100:

100x = 145.454...

Subtract both sides by x:

100x - x = 145.454... - x

100x - x = 145.454... - 1.45454...

99x = 144

x = 144/99

The term can be simplified in lowest as 16/11. Hence, 1.45454... can be written as the ratio of two integers of 16/11

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