A store sells two sizes of fresh wreaths. An​ 18-inch wreath costs ​$15​, and a​ 22-inch wreath costs ​$30. In one​ day, the number of​ 22-inch wreaths sold was FOUR more than TWICE the number of​ 18-inch wreaths, for a total of ​$645. How many of each were​ sold?

The rule for divisibility by 9 is similar to divisibility rule for 3. That is, if the sum of digits of the number is divisible by 9, then the number itself is divisible by 9.

the capacity of being divided. Math. the capacity of being evenly divided, without remainder.

Divisibility rules or Divisibility tests have been mentioned to make the division procedure easier and quicker. If students learn the division rules in Math's or the divisibility tests for 1 to 20, they can solve the problems in a better way. For example, divisibility rules for 13 help us to know which numbers are completely divided by 13. Some numbers like 2, 3, 4, 5 have rules which can be understood easily. But rules for 7, 11, 13, are a little complex and need to be understood in-depth.

Divisibility rule for 10 states that any number whose last digit is 0, is divisible by 10.

Example: 10, 20, 30, 1000, 5000, 60000, etc.

For any given number, to check if it is divisible by 13, we have to add four times of the last digit of the number to the remaining number and repeat the process until you get a two-digit number.  Now check if that two-digit number is divisible by 13 or not. If it is divisible, then the given number is divisible by 13.

For example: 2795 → 279 + (5 x 4)

→ 279 + (20)

→ 299

→ 29 + (9 x 4)

→ 29 + 36

→65

Number 65 is divisible by 13, 13 x 5 = 65.

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The nearest thousand, there were an estimated 116,000 wild tigers 20 years ago.

The percentage decrease theory suggests that a decrease in the price of a product or service will lead to an increase in demand for that product or service.

This theory is based on the idea that consumers are more likely to buy a product or service if its price is lower. This theory can be applied to both new and existing products or services.

For example, a retailer may decide to decrease the price of a product in order to attract more customers and increase sales. Similarly, a company may choose to reduce the cost of a service in order to make it more attractive to potential customers.

This question is using the percentage decrease theory. According to this theory,

you can calculate the percentage decrease by subtracting the current value from the original value and then dividing by the original value.

Step 1: Subtract the current number of wild tigers (3200) from the original number of wild tigers (20 years ago).

Original - Current = Change

120,000 - 3200 = 116,800

Step 2: Divide the change (116,800) by the original number of wild tigers (120,000)

Change / Original = Percentage Change

116,800 / 120,000 = 97%

Step 3: Multiply the percentage change (97%) by the original number of wild tigers (120,000)

Percentage Change x Original = Estimated Original

97% x 120,000 = 116,400

Therefore, to the nearest thousand, there were an estimated 116,000 wild tigers 20 years ago.

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Amongst the given options, we can conclude that the questions 'what is the distribution of ratings for the 75 shows in this sample' and 'is there a relationship between the rating and advertising revenue of the 75 shows in this sample' can be answered using this data set. Hence, options 3 and 4 are the correct options.

Statistics is a field of mathematics that is concerned with the collection, organization, study, understanding, and presentation of data. A data set is the collection of data aforementioned.

Here, we have been told that the data set includes the rating, market share, and advertising revenue for 75 popular tv shows. This means we will easily be able to find out the distribution of ratings for the 75 shows as well as the relationship between the rating and advertising revenue. Hence, options 3 and 4 are the correct answers.

The complete question that you have been looking for is given below -

For a study of TV shows, you obtain the rating, market share, and advertising revenue for 95 popular TV shows.

Which of these are statistical questions that could be answered from this data set? (Check all that apply.)

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Answer: I'm sorry but this equation is not valid, and it does not make any sense to me. There is no variable q and the equation is not a mathematical equation so I cannot give you a value of q. Also, the statement p = 13.6 is not related to the equation provided. Therefore, I cannot answer this question. Can you please provide more context or clarify what you are trying to ask?

An inequality with two variables has a graph, which is a collection of points that shows all possible solution is x≤ 5 3/10.

The boundary line between the coordinate plane's two halves, one of which represents the inequality's solutions, is created by a linear inequality.

x + 1 1/2 ≤ 6 8/10 :

Solution : x ≤ 5 3/10

Decimal : x ≤ 5.3

Interval  notation : (-∝ , 53/10)

Steps:

x + 1 1/2 ≤ 6 8/10 :

Convert mixed Number to improper Fraction : 1 1/2  = 3/2

1 1/2

Convert mixed numbers to improper fraction ; a (b/c ) = a. c +b /c

1 1/2 = 1.2 + 1 /2

=3/2.

x + 1 1/2 ≤ 6 8/10 :

Convert mixed Number to improper Fraction : 6 8/10 = 68/10

6 8/10

Convert mixed numbers to improper fraction ; a (b/c ) = a. c +b /c

6 8/10 = 6.10 + 8 /10

=68/10

x+ 3/2 ≤ 68/10

Cancel the Common factor :2

x + 3/2 ≤ 34/5

Move 3/2 to the right side

x ≤ 53/10

Convert  improper Fraction  to  mixed Numbers: 53/10 = 5 3/10

53/10 = 5 Reminder 3

Convert to mixed Number : Quotient (Remainder / Divisor)

53/10 = 5 3/10

x≤ 5 3/10

x≤ 5 3/10.

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The solution of the system of equations plotted is (x,y) = (4,7).

When a system of linear equations is given, then there exist 3 cases:

Case 1: Unique single solution:

In this case, the lines of the system of equations intersect at one point. That point is the solution of both equations.

The reason we consider intersection as the solution since that the intersection point tells us that it can satisfy both of the given equations simultaneously.

Case 2: No solution:

Then there is no such point that can satisfy both equations simultaneously. Thus, there is no solution to the given system of equations.

Case 3: Infinite number of solutions:

Well, in that case, both the lines are overlapping each other. Thus, all of the points of one line lie on another line too.

And since the given lines are made up of an infinite number of points, thus we will get infinite solutions.

In your case, the lines intersect at points where x=4 and y=7, or say they intersect at coordinate (4,7). Thus, the solution of a given system of equations is x=4 and y=7.

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Converting 255 metric minutes as per the defined metric time into standard hours is equal to 2.55 hours.

Using defined metric time we have,

One day is equal to 10 hours

One hour is equal to 100 minutes

One minute is equal to 100 seconds

To convert 255 metric minutes into standard hours we have,

100 minutes = 1 hour

⇒ 1 minutes = ( 1 / 100 ) hour

⇒ 255 metric minutes = ( 255 ) ×  ( 1 / 100 ) hour

⇒ 255 metric minutes = ( 255/ 100 ) hour

⇒ 255 metric minutes = 2.55 hours

Therefore, the conversion of 255 metric minutes into standard hour using metric time is equal to 2.55 hours.

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The most suitable method to obtain a random sample of four students from the statistics class would be to use a computer or random-number table to randomly select four students after numbers are assigned.

This method ensures that every student has an equal chance of being selected and that the sample is truly random. This is the only method that guarantees that the sample is random and representative of the entire class.

The other methods listed (A, C, D, and E) do not ensure randomness, as they are based on non-random criteria (such as seating arrangement, height, or time of arrival). These methods might introduce bias into the sample and lead to incorrect conclusions about the population.

Hence, the correct answer is B.

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Answer:

Step-by-step explanation:

The smaller number is 25 and larger number is 37

Linear equations help in representing the relationship between variables such as x, y, and z, and are expressed in exponents of one degree. In these linear equations, we use algebra, starting from the basics such as the addition and subtraction of algebraic expressions.

Given here; The sum of two numbers is 62 and 3 times the smaller number exceeds twice the larger number by one.

let the smaller number be x and the larger number be y then we have

x+y=62

3x-2y=1

Thus solving this system of linear equations by method of elimination we get

5y=185

y=37

∴ x=25

Hence, The smaller number is 25 and larger number is 37

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The recursive formula for each sequence is given as follows:

The first sequence is given as follows:

1,3,-2,5,-7,12...

The pattern is that each term is the subtraction of the second to last term by the last term, hence the formula is given as follows:

1,3,-2,5,-7,12: [tex]a_n = a_{n - 2} - a_{n - 1}[/tex]

The second sequence is given as follows:

1,2,2,4,8,32,...

The pattern is that each term is obtained by the multiplication of the two previous terms, hence the formula is given as follows:

[tex]a_n = a_{n - 1} \times a_{n - 2}, a_1 = 1, a_2 = 2[/tex]

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Answer:

Step-by-step explanation:

P = 2l+b)

P = 2(20 + 15)

P = 2(35)

P = 70 feet

Answer:

70 feet

Step-by-step explanation:

      length = 20 feet

        width = 15 feet

[tex]\sf \boxed{\text{Perimeter of rectangle = 2* ( length * width)}}[/tex]

                             [tex]\sf = 2* (20 + 15)\\\\ = 2 * 35\\\\= 70 \ feet[/tex]

To shade decimal number 0.009 in a base-ten block, you would shade one 1/100th block and nine 1/1000th blocks. This can be seen in the image below.

1 tenth | 0 hundredths | 0 thousandths | 9 ten-thousandths

____   |   ____      |   ____     | ____

100th | 0

10th  | 0

1st   | 9

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Answer: 141.78

Step-by-step explanation: 1.39 x 102 = 141.78

We can see here that Side AC is the longest side. A. Side AC.

An angle is a figure in Euclidean geometry made up of two rays that share a common terminal and are referred to as the angle's sides and vertices, respectively. Angles created by two rays are in the plane where the rays are located. The meeting of two planes also creates angles. Dihedral angles are these.

We see here that triangles that have an angle of 90° are usually known to be right angle.  The angles in a triangle are equal to 180°.

We see here that the above answer. This is because the side opposite to the largest angle is the longest angle.

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Answer:

536

Step-by-step explanation:

Answer: 536

Step-by-step explanation:

Step 1: As we know, a whole of something is equal to 100%. In this case, we want to find what 67% of 800 is. We know that 100% of 800 is, well, just 800.Step 2: If 100% of 800 is 800, then we can get 1% of 800 by dividing it by 100. Let's do 800 / 100. This is equal to 8.0. Now we know that 1% is 8.0.Step 3: Now that we know what 1% of 800 is, we just need to multiply it by 67 to get our solution! 8.0 times 67 = 536. That's all there is to it!

Answer:

70

Step-by-step explanation:

Answer:

31.81

Step-by-step explanation:

the dotted line ² = (22²-16²)

x = sq root of [dotted line²  +(44-16)² ]

= sq root of [22²-16²+28²]

31.81

The solution set of the inequality |x - 1 / 2| + 4 ≤ 5 / 2 is x ≥ 2 and x ≤ - 1.

In this problem we find an inequality including an absolute value, which requires some additional treatment by taking definition of absolute value into account, in order to determine the complete solution set:

For x < 1 / 2:

- x + 1 / 2 + 4 ≤ 5 / 2

- x + 9 / 2 ≤ 5 / 2

4 / 2 ≤ x

x ≥ 2

For x ≥ 1 / 2:

x - 1 / 2 + 4 ≤ 5 / 2

x + 7 / 2 ≤ 5 / 2

x ≤ - 2 / 2

x ≤ - 1

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The dating web site Oollama.com requires its users to create pro les based on a survey in which they rate their interest (on a scale from 0 to 3) in positive categories: physical fitness, music, spirituality, education, and alcohol consumption.

A new Oollama customer, Erin O'Shaughnessy, has reviewed the pro les of 40 prospective dates and classi ed whether she is interested in learning more about them. Based on Erin's classi cation of these 40 pro les, Oollama has applied a logistic regression to predict Erin's interest in other pro les that she has not yet viewed. The resulting logistic regression model is as follows:

Log odds of Interested = −0.920 + 0.325 × Fitness − 3.611 × Music

+5.535 × Education − 2.927 × Alcohol

The detailed solution is attached below.

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The numeric values of the function R(t) = 328 - 296e^(-0.004t) at t = 0 and t = 30 are given as follows:

To find the numeric value of a function or of an expression, we replace each instance of the variable in the function or in the expression by the value at which we want to find the numeric value.

The function for this problem is defined as follows:

R(t) = 328 - 296e^(-0.004t)

At t = 0, the numeric value is found replacing the lone instance of t by zero, hence:

R(0) = 328 - 296e^(-0.004(0))

R(0) = 32.

At t = 30, the numeric value is found replacing the lone instance of t by 30, hence:

R(30) = 328 - 296e^(-0.004(30))

R(30) = 65.47.

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The speed of the shadow at any time while the rock is in the air is given by v(1-s) / (H-h).

By the AAA congruency theorem, the two triangles are formed and are similar. Here, the ratio of their sides must be equal, and thus -

= H/d+s = h/s

= Hs = h(d+s)

= Hs = hd + hs

= Hs - hs = hd

= s(H-h) = hd

Differentiating both sides with respect to t -

= {s' (H- h)} + {sh'} = h'

Since we know that h' = v -

= {s' (H- h)} + {sv} = v

= s'(H-h) = v - sv

= s'(H-h) = v(1-s)

= s' = v(1-s) / (H-h)

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If f(x) = 3x and g(x)=x-2, then the value of f(g(4)) is 6.

What is a function?

A function is a mathematical object that assigns exactly one output to each input of a specified type. In other words, a function is a rule that takes in certain inputs (or "arguments") and produces a unique output. The inputs to a function are called the domain, while the set of possible outputs is called the range.

The given functions are f(x) = 3x and g(x)=x-2.

To find f(g(4)), we first need to evaluate g(4). The function g is defined as g(x) = x - 2, so g(4) = 4 - 2 = 2.

Next, we need to evaluate f(2), where f is defined as f(x) = 3x. So, f(2) = 3 * 2 = 6.

Therefore, f(g(4)) = f(2) = 6.

Hence, if f(x) = 3x and g(x)=x-2, then the value of f(g(4)) is 6.

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The exact value of csc(A) is csc(A) = 7/20[√10]

From the question, we have the following parameters that can be used in our computation:

sec(A) = 7/3

Take the inverse of both sides

cos(A) = 3/7

Using the following trigonometry identity, we have

sin²(A) + cos²(A) = 1

Substitute the known values in the above equation, so, we have the following representation

sin²(A) + (3/7)² = 1

So, we have

sin²(A) = 40/49

Take the square roots

sin(A) = ±√(40/49)

The angle is in quadrant II

So, we have

sin(A) = √(40/49)

Take the inverse

csc(A) = √(49/40)

So, we have

csc(A) = 7√(1/40)

This gives

csc(A) = 7/[2√10]

Rationalize

csc(A) = 7/20[√10]

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Complete question

Given sec(A) = 7/3 and that angle A is in Quadrant II, find the exact value of csc(A)

Sides AC and DB of the rectangle ABCD are equal to 2x + 13 and 4x – 1, respectively. Angle BAC is measured by 3x + 1 and angle CAD by x + 15. Angles ABD and CDB are measured as 7x - 31 and 4x + 5, respectively. Angles BDC and ADB are measured as 7x + 1 and 9x – 7 respectively. Angles AEC and AE are measured as 5x - 15 and 3x + 3 respectively.

A rectangle is a polygon with four right angles and four sides. Two sides of the rectangle ABCD are AC and DB, with AC equal to 2x + 13 and DB to 4x - 1. Angle BAC is measured by 3x + 1 and angle CAD by x + 15. Angles ABD and CDB are measured as 7x - 31 and 4x + 5, respectively. Angles BDC and ADB are measured as 7x + 1 and 9x – 7 respectively. Angles AEC and AE are measured as 5x - 15 and 3x + 3 respectively.

You can find the missing sides and angles by looking at the rectangle's angles and sides. As an illustration, if AC = 2x + 13 and DB = 4x - 1, then DB = 72. Similar to this, if AC = x + 3 and DB = 3x - 19 then AC = 14. If AE = 3x + 3 and EC = 5x - 15, then AC = 6 is the result. If AE = 4x + 9 and DE = 6x - 7 then DB = 8 is the result.

The measures of the angles can be solved for using the supplied equations. As an illustration, if mDAC = 2x + 4 and mBAC = 3x + 1, then mBAC = 39. Similar to how mBDC = 7x + 1 if mADB = 9x - 7 and mBDC = 7x + 1 if mBDC = 7x + 1. Last but not least, mABD = 7x - 31 if mCDB = 4x + 5 and mABD = 7x - 31.

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Answer:

3/4 of a tank of gas

Step-by-step explanation:

18 1/2-17 3/4= 3/4

or the easiest way for me is to change the faction to decimals

18.5-17.75= 0.75 which is 3/4

The metadata be more appropriate than analyzing the data is a series of binary digits called bits.

The term called metadata can be defined as the data that provides information about one or more aspects of a given data and it also  provide a structured reference that helps to sort and identify all of its attributes such as Author, created Date, modified date, type of the file and the size of the file.

Here we have given that a group of students take hundreds of digital photos for a science project about weather patterns.

And also each photo file contains data representing the level of red, green, and blue for each pixel in the photo.

Where the file also contains metadata that describes the date, time, and geographic location where the photo was taken.

In this scenario, we have to analyze the metadata would be more appropriate than analyzing the data when determining the likelihood that the photo was taken or created at a particular public event.

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We can apply the order of four transformations to the graph of f(x) in order to sketch the graph of g(x): A 3-unit horizontal shift to the left : The graph becomes f(x-3 ) as a result, with a vertical asymptote at x = 0 rather than x = 3.

2. To move from f(x) to g(x), four transformations are used:

A three-unit horizontal shift to the left: The graph thus shifts by a factor of -2 three units in the direction of the left  A vertical stretch.

You must first define the function and its domain before you can plot its graph. We can begin by sketching the piecewise linear graph of f(x) = |x|, which has a slope of 1 for x greater than 0 and -1 for x less than 0 in order to sketch the graph of g(x) = -2|x-3|+1. The vertical asymptote is shown by the x axis. For all real numbers, the definition of the f(x) graph exists.

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Answer:4

Step-by-step explanation:

1 3/5 = 8/5
8/5 / 2/5 = 4

It costs $6 to enter the fair, and each ride costs $2, thus the equation is x = 6+ 2y.

Its core idea is understood to be the number's minimal equivalent fraction. How to determine the simplest form. A fractional figure can be checked to discover if it is a prime number. A phrase having two equal sides and now an equal sign in the middle is referred to as a mathematical equation. Every variable's degrees are listed in ranking in the general form of any equation.  Its general form of a two-variable linear equation is an x + b y + c = 0. (or something similar). Perhaps conditional equations of identities are categories for equations.

given

Suppose the total cost is x and there are y rides.

Each ride costs two dollars. Thus, the price of the rides will be:

= Number of rides * Price per ride

=> y * 2

=> 2 y

Thus, the final price will be:

Total price = Admission price + ride prices

Total cost: $6 plus $2. (Number of rides)

x = 6 + 2y

It costs $6 to enter the fair, and each ride costs $2, thus the equation is x = 6+ 2y.

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