colette is putting a mat of width 4w and a frame of width w around a 16-inch by 48-inch poster. find an expression for the perimeter of frame

The probabilities for the standard normal distribution in r or using the standard normal table are

a) P(X<2.18) = 0.9854

b)P(X>2.18)= 0.0146

c) P(<-2.49) = 0.0064

The standard normal table is a mathematical table that allows us to know the percentage of values below the z-score (left) of the standard normal distribution. This is the "bell-shaped" curve of the standard normal distribution. It is a normal distribution with mean 0 and standard deviation 1. Using the Z-table:

Now, we have to determine the probability value for (a) , (b) and (c) .

a) P(X < 2.18) = P( Z< 2.18) = intersection point of row value 2.1 and column 0.08 = 0.9854

b) P(X >2.18) = P( Z> 2.18) = 1 - P( Z< 2.18)

= 1 - 0.9854 = 0.0146

c) P(X < -2.49) = P(Z < -2.49) = intersection point of row value -2.4 and column 0.09 = 0.0064.

Hence, we got all the required probability values.

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Complete question:

Find the following probabilities for the standard normal distribution in R or using the standard normal table. NoteI always recommend drawing the distribution. (Round your answers to four decimal places.) ### Example R code mu = 0; sigma = 1; x = x; # Note you will have to change the value of x. pnorm(x,mu,sigma)

(a) P(X < 2.18)

b) P(X >2.18)

(c) P(X < -2.49)

Answer:

[tex]\frac{1}{9^{8}}[/tex]

Step-by-step explanation:

When multiplying two numbers with exponents with the same base, you simply add the two exponents together, even if they're negative:

[tex]9^{-5}*9^{-3} =9^{-8}[/tex]

When a number has a negative exponent ([tex]x^{-2}[/tex]) it means that the number is equal to 1/that number ([tex]\frac{1}{x^{2}}[/tex])

[tex]9^{-8}=\frac{1}{9^{8}}[/tex]

The line x=1 is a vertical asymptote of the function[tex]f(x)=x2−1x2−7x+6[/tex], but the line x=-1 is not, and the limit of a function approaching a vertical asymptote can be either positive infinity or negative infinity depending on the value of the function.

a. The line x=1 is a vertical asymptote of the function  because when x tends to 1, the denominator tends to 0, resulting in an undefined value for the function.

b. The line x=-1 is not a vertical asymptote of the function [tex]f(x)=x2−1x2−7x+6[/tex] because when x tends to -1, the denominator does not tend to 0, resulting in a finite value for the function.

c. If g has a vertical asymptote at x=1 and[tex]x→1 +limg(x)=[infinity][/tex], then [tex]x→1 −limg(x)=[infinity][/tex] is not necessarily true. This is because the limit of a function approaching a vertical asymptote can be either positive infinity or negative infinity depending on the value of the function as it approaches the asymptote. For example, if g(x) = 1/x, then[tex]x→1 +limg(x)=[infinity][/tex] The line x=1 is a vertical asymptote of the function [tex]f(x)=x2−1x2−7x+6[/tex], but the line x=-1 is not, and the limit of a function approaching a vertical asymptote can be either positive infinity or negative infinity depending on the value of the function.

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The Camel stopped at  22.4 km south of the Oasis

To solve this problem, we can use basic trigonometry. If the camel travelled at a bearing of 106° from the oasis and stopped 27 km east of the oasis, we can use the tangent function to find the distance south of the oasis.

Let's call the distance south of the oasis "d". Then, using the tangent function:

tan 106° = d / 27

Solving for "d", we get:

d = 27 * tan 106°

Using a calculator, we can find the approximate value of d to be about 22.4 km.

So, the camel stopped about 22.4 km south of the oasis.

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Answer:

12

Step-by-step explanation:

6

×12=72

=72answer is=12

Answer:

Step-by-step explanation:

srry need the points

The total payment of the family is given as $336

The family`s payment would be  $2725

The model that elates payments and charges is Payment = $250 + (1 - insurance payment percentage) * (charge - $250)

a) If the dental charge is $680, then the family's payment is:

Deductible: $250 (the family has to pay this first)

Remaining charges: $680 - $250 = $430

The insurance company pays for 80% of the remaining charges, which is 0.8 * $430 = $344

Therefore, the family has to pay for 100% - 80% = 20% of the remaining charges, which is 0.2 * $430 = $86

So, the total payment by the family is $250 + $86 = $336

b) If the dental charge is $4500, then the family's payment is:

Deductible: $250 (the family has to pay this first)

Remaining charges after deducting the deductible: $4500 - $250 = $4250

The insurance company pays for 80% of the remaining charges that do not exceed $1500, which is 0.8 * $1500 = $1200

So, the remaining charges for the family to pay after the insurance pays for the first $1500 of the remaining charges: $4250 - $1500 = $2750

The insurance company pays for 50% of the remaining charges that exceed $1500, which is 0.5 * $2750 = $1375

Therefore, the family has to pay for 100% - 50% = 50% of the remaining charges that exceed $1500, which is 0.5 * $2750 = $1375

So, the total payment by the family is $250 + $1200 + $1375 = $2725

c) The model that relates the payments and charges is:

Payment = $250 + (1 - insurance payment percentage) * (charge - $250)

where the insurance payment percentage is 80% if the charge is between $250 and $1500, and it is 50% if the charge exceeds $1500.

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The ratio of the areas of the two circles equals the square of the ratio of their radii:  = 1/4

Let O1 be the center of the larger circle and O2 be the center of the smaller circle. T is the tangent point between the two circles.

The distance between their centers, O1O2, is equal to the sum of their radii, i.e., r1 + r2.

The Pythagorean theorem gives us:

(O1O2)^2 = r1^2 + r2^2

By substituting r1, r2, and O1O2 values, we obtain:

(r1 + r2)^2 = r1^2 + r2^2

By broadening and simplifying, we get:

2r1r2 = r2^2

When both sides are divided by r22, we get:

2r1/r2 = 1

So, r1/r2 = 1/2. r2 = 2r1.

The ratio of the areas of the two circles equals the square of the ratio of their radii:

A1/A2 = (r1/r2)^2 = 1/4

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The quartic regression equation is (a) y = -0.04x^4 + 1.06x^3 - 8.99x^2 + 40.05x + 177.92 and the estimated the number of graduates in 1992 is 367

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

(-1,8), (5,-4), (7,8), (2,-6)

Using a graphing calculator, we have the following summary:

The model from the above summary is

y = -0.0402x^4 + 1.0627x^3 - 8.9931x^2 + 40.0522x + 177.9198

Approximate

y = -0.04x^4 + 1.06x^3 - 8.99x^2 + 40.05x + 177.92

In the year 1992, we have

x = 12

So, we have

y = -0.04 * 12^4 + 1.06 * 12^3 - 8.99 * 12^2 + 40.05 * 12 + 177.92

Evaluate

y = 367

The estimated the number of graduates in 1992 is 367

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Answer: 3 1/5

Step-by-step explanation:

I nelieve fdhat the answer to thisxquestion is 3 1/5

The interval notation of the given sets of A and B are A U B : {z│z is all real Numbers (lR)} and A ∩ B : {z│4 <  z ≤ 8} (less than equal to for 8).

Sets are groups of clearly defined objects or elements in mathematics. A set is represented by a capital letter symbol, and the cardinal number of a set enclosed in a curly bracket indicates how many elements there are in a finite set.

A set can be of many different forms, such as an empty set or null set, which is one without any elements.

An illustration of a null set is A =.

It only has a finite number of components.

Instance: A = 1, 2, 3, 4.

The items of an infinite set are unbounded.

The set of all whole numbers is represented by the expression A = x.

A U B : {z│z is all real Numbers (lR)}    

∩ means and common area in both hence:

A ∩ B : {z│4 <  z ≤ 8} (less than equal to for 8)

The interval notation of the given sets of A and B are A U B : {z│z is all real Numbers (lR)} and A ∩ B : {z│4 <  z ≤ 8} (less than equal to for 8).

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The width of the front of the aquarium is 30m

The formula for calculating the perimeter of a rectangle is expressed as;

P = 2( l + w)

Given that the parameters are;

From the information given, we have that the values are;

Perimeter = 230m

Length = 85m

Width = w

Substitute the values, we get

230 = 2(85) + 2w

expand the bracket

2w = 230 -170

subtract the values

2w = 60

Make 'w' the subject

w = 30m

Hence, the value is 30m

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The equation which represents the graph is y = −3x − 3, the correct option is B.

An equation is an expression that shows the relationship between two or more numbers and variables.

A mathematical equation is a statement with two equal sides and an equal sign in between. An equation is, for instance, 4 + 6 = 10. Both 4 + 6 and 10 can be seen on the left and right sides of the equal sign, respectively.

Given

Line that passes through the points 0 comma negative 3 and negative 1 comma 0

The equations;

y=-1x/3-3

y = −3x − 3

y = −1/3x + 1/3

y = −3x − 1/3

Now, solving the equations

(0,3)(1,0)

y = −3x − 3

y = −3*1 − 3

Therefore, the equation will be y = −3x − 3.

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The numeric values of the graphed function are given as follows:

To obtain the numeric values from the graph, we must plot a vertical line at each x-coordinate, and then verify where the vertical line intersects the graph.

At x = -2, the vertical line would intersect the graph at y = 2, hence:

f(-2) = 2.

At x = -0, the vertical line would intersect the graph both at y = 1 and y = 3, however y = 3 has the closed circle, hence hence:

f(0) = 3.

At x = 4, the vertical line would intersect the graph at y = 1, hence:

f(4) = 1.

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The largest non-negative integer than can be represented on this computer is given as follows:

15.

The largest non-negative integer that can be represented on an unsigned machine with n bits is given as follows:

N = 2^n - 1.

For this problem, the machine is of 4 bits, hence the parameter n is given as follows:

n = 4.

Hence the largest non-negative integer than can be represented on this computer is obtained as follows:

N = 2^4 - 1

N = 16 - 1

N = 15.

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The graph shows two functions, f(x) and g(x). So, the statements that describe the resulting graph h(x) is point (-2,2) is on h(x)

A graph is described as the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.

In the question above, we have two functions f(x)=x²-2 and g(x)=x²+2 by adding the function we will get the combined function.

The graph that the function is varying from the coordinates (-2,2) is seen on the attached graph.

Therefore, we can conclude that the graph shows two functions, f(x) and g(x). So point (-2,2) is on h(x)

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For each country, graph of computer the production possibilities frontier. Suppose that without trade the workers in each country spend half their time producing each good. Identify this point in your graphs.

Who has the comparative advantage in the production of shirts? What about for computers?

China has the comparative advantage in the production of shirts, while the US has the comparative advantage in the production of computers.

If these countries were open to trade, which country would export shirts? Give a specific numerical example and show it on your graphs. Which country would benefit from trade?

China would export 50 million shirts in exchange for 5 million computers (or more if they can). Trade would benefit the US since it will only need to trade 5 million computers in exchange for 50 million shirts, and it will still have 15 million computers that it can consume or trade with come other country.

Explain at what price of computers (in terms of shirts) the two countries might trade.

the minimum and maximum prices would be 5 to 10 shirts per computer. If the price of shirts per computer is 10 or near 10, then the US wins more. If the price of shirts per computer is 5 or near 5, then China wins more.

opportunity cost of producing 1 shirt in the US = 20/100 = 0.2 computers

opportunity cost of producing 1 computer in the US = 100/20 = 5 shirts

opportunity cost of producing 1 shirt in China = 10/100 = 0.1 computers

opportunity cost of producing 1 computer in China = 100/10 = 10 shirts

without trade:

total production of shirts in the US = 50 million

total production of computer in the US = 10 million

total production of shirts in China = 50 million

total production of computer in China = 5 million

with trade:

total production of computers in the US = 20 million

total production of shirts in China = 100 million

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Answer: width = 2/15 miles

Step-by-step explanation:

Area of a rectangle = l * w

In this case, our equation is 3/9 = 5/2 * w

What we need to do to find the width, is isolate the w variable.

To do so, the 5/2 is going to be divided by itself to get the variable w completely isolated.

With equations like this, whatever you do on one side, you do to the other. So, the area will also be divided by 5/2.

3/9 / 5/2  the common term "Keep, Change, Flip (KCF)" can be used to solve this.

You keep the first fraction as is, change the division sign to multiplication, and flip the second fraction to its reciprocal.

3 x 2 = 6

9 x 5 = 45

6/45 can be further reduced with the GCF of 3 resulting in your answer,

width = 2/15 miles

Answer:

1/6

Step-by-step explanation:

0.333 - 1/3

0.6667 - 1/6

0.2 - 2/10

0.2857 - 2/7

A first course in differential equations with modeling applications ninth edition is a textbook that covers the basics of differential equations and their applications in mathematical modeling.

It begins with an introduction to the concepts of differential equations, including the definition, solution methods, and the concept of modeling. It then covers topics such as first-order linear equations, higher-order linear equations, systems of linear differential equations, and nonlinear equations. It also has a chapter on boundary-value problems, which is a type of differential equation that involves a set of boundary conditions that must be satisfied for the solution to be valid.

In order to solve differential equations with boundary-value problems, we must first define the boundary conditions that must be satisfied for the solution to be valid. This involves setting up the boundary conditions in terms of the dependent and independent variables of the equation. We then solve the equation using the boundary conditions and the equation itself. The solution is then used to calculate values for the independent and dependent variables at the boundary points. Finally, we can verify the solution by substituting the calculated values into the equation and seeing if the solution is valid.

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Applying the classification angles, the values of x= 29° and y=8.5°.

They are a lot of classifications for angles like complementary angles, supplementary angles, right angles, and others. See below:

From the figure, it is possible to see that:

       6x-36=138

       6x=138+36

       6x=174

         x=174/6

         x=29°

       4y+8+138=180

       4y=180-138-8

        4y=180-146

         4y=34

          y=34/4

         y=8.5°

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Answer:

f(g(-2)) = -3

Step-by-step explanation:

2((-2) - 3) + 7

2(-5) + 7

-10 + 7

-3

Hope this helps!

The spray rate of the park sprinkler is equal to 46 gallons per minute.

In this problem we find that a park sprinkler that can spray a capacity of 1,748 gallon of water in a time of 38 minutes and we are asked to calculate the spray rate by the following fomula:

r = Q / t

Where:

If we know that Q = 1748 gallon and t = 38 min, then the spray rate is:

r = (1748 gallon) / (38 min)

r = 46 gallons per minute

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In the expression ax + b = 3(x - a), the value of x is solved to be

To solve for x the parenthesis is first expanded as below

ax + b = 3(x - a)

ax + b = 3x - 3a

collecting terms with x variables

b + 3a = 3x - ax

b + 3a = x(3 - a)

isolating x dividing through by (3 - a) will result to

b + 3a / (3 - a) = x(3 - a) / (3 - a)

b + 3a / (3 - a) = x

hence x = b + 3a / (3 - a)

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Answer:

Step-by-step explanation:

eres un pendejo

Answer:

Step-by-step explanation:

The quotient of 2 divided by 1.176 can be calculated as follows:

2 ÷ 1.176 = 1.70860927152318

Therefore, 2 divided by 1.176 is equal to 1.70860927152318.

The change in temperature over the 12-hour period was 50℉ - 10℉ = 40℉.

The Venn diagram shown to Region V: Items in A, B, and C are represent A' ∩ B' ∪ C

It is given that the diagram we need to find the regions represent the set.

A Venn diagram is an illustration that uses circles to show the relationships among things or finite groups of things. Circles that overlap have a commonality while circles that do not overlap do not share those traits. Venn diagrams help to visually represent the similarities and differences between two concepts.

So from the Venn diagram, the item represents the regions four, five, six and seven.

Therefore, it can be written us for Union Fight, Union Six, Union Seven. Therefore, we concluded that the regions represent see R. C.

Which is equal to for Union Fighting Union Six, Union Seven.

We have here, region represent A' ∩ B' ∪ C

Therefore, the Venn diagram shown to regions represent

A' ∩ B' ∪ C is Region V: Items in A, B, and C.

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The circumference and the area of the circular flower bed are given as follows:

The area of a circle of radius r is given by π multiplied by the radius squared, as follows:

A = πr²

The radius is half the diameter, hence it has the value given as follows:

r = 0.5d

r = 0.5 x 12

r = 6.

Then the area is obtained as follows:

A = π x 6²

A = 36π units squared.

The circumference is given by the multiplication of the diameter by π, hence:

C = 12π units.

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The number of years that each person would have been employed would be that Nikhil has been with the company for 24 years, while Mae has been there for 4 years. That is option C.

Nikhil has been at the company 6 times as long as Mae.

That is,

x = 6y-----> equation 1

where X= Nikhil

y = Mae

Nikhil's time at the company is 8 more than 4 times Mae's.

That is,

x = 8 + 4y----> equation 2

To solve for each years, substitute for X into equation 2;

6y = 8+4y

8 = 6y-4y

8 = 2y

y = 8/2 = 4

Substitute y into equation 1;

X= 6×4

X= 24

Therefore, Nikhil has been with the company for 24 years, while Mae has been there for 4 years.

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Answer: Option C. Nikhil has been with the company for 24 years, while Mae has been there for 4 years.

Step-by-step explanation:

Answer:

7

Step-by-step explanation: just do it