Which rule describes a translation 5 units right and 1 unit up

The probability that the next person will purchase more than one costume as a fraction in simplest form is 11/113.

Probability refers to a possibility that deals with the occurrence of random events. The probability of all the events occurring need to be 1.

P(E) = Number of favorable outcomes / total number of outcomes

We have been given the data for the number of people who visited the website and the number of costumes purchased in a single day as;

27 visitors purchased no costume.

75 visitors purchased exactly one costume.

11 visitors purchased more than one costume.

The total number of visitors = 27 + 75 + 11 = 113

Thus;

The probability that the next person will purchase more than one costume as a fraction in the simplest form

P(purchase more than one costume) = 11/113

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The population will be 16,600 in 198 years from now if the town with a population of 4,150 doubles in size every 99 years.

It is defined as the function that rapidly increases and the value of the exponential function is always a positive. It denotes with exponent \(y = a^x\)

where a is a constant and a>1

We have:

Town with a population of 4,150 doubles in size every 99 years

The exponential growth function is given by:

y= C(1+r)ˣ

The rate of increase can be calculated as:

1 + r = 2  (because double the population means 200%)

r = 1

C = 4150

t = 198/99 = 2

y= 4150(1+1)²

y = 16,600

Thus, the population will be 16,600 in 198 years from now if the town with a population of 4,150 doubles in size every 99 years.

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Answer:

the pair of lines are parallel

Answer:

1032

Step-by-step explanation:

assume the figure as two step ladder

The principal is $5,000.

The growth factor is 1.07.

To create the table, we have to multiply 1.07 by each value in $.

5,000 x 1.07 = 5,350 (1 year).

5,350 x 1.07 = 5,724.50 (2 years).

5,724.50 x 1.07 = 6,125.22 (3 years).

6,125.22 x 1.07 = 6,553.99 (4 years).

6,553.99 x 1.07 = 7,012.77 (5 years).

7,012.77 x 1.07 = 7,503.66 (6 years).

The table would be

Year Money

1 5,350

2 5,724.50

3 6,125.22

4 6,553.99

5 7,012.77

6 7,503.66

Given that this is a geometric sequence, we have

Where the first term is 5,350. Let's find the amount for n = 10.

After 10 years, we'll get $9,835.76.

Now, for n = 20.

After 20 years, we'll get $19,348.42.

The exponential numbers for any given year would be

As a result, the rectangle's perimeter is 230 cm as the rectangle's base has a 69 cm width.

Four straight sides that are aligned and equal in length make up a rectangle, a two-dimensional geometric object. A rectangles has four right-angled angles (90 degrees). A rectangle can be thought of as a quadrilateral with all angles equal to 90 degrees, or as a trapezoid with two pairs of parallel sides. By multiplying the rectangle's length and breadth, the area of the rectangle may be determined. By summing the measurements of all four sides, one may get a rectangle's perimeter. In many commonplace items like window, book covers, and screens, rectangles are frequently used.

given

According to the information provided, the rectangle's base has a 69 cm width.

We also know that the height is equal to the base by two thirds. As a result, the rectangle's height can be determined as follows:

Height equals 2/3 of base height, or 69 cm.

size = 46 cm

Knowing the rectangle's base and height, we can use the following formula to get its perimeter:

P = 2l + 2w

P = 2(69 cm) + 2(46 cm) (46 cm)

P = 230 cm if P = 138 cm plus 92 cm.

As a result, the rectangle's perimeter is 230 cm as the rectangle's base has a 69 cm width.

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The complete question is: - In a rectangle the base measures 69 cm and the height is 2/3 of the base. Calculate the perimeter.[230] Please help with a photo

Answer:

B. 88

Step-by-step explanation:

the total data = 1+2+4+5 = 12

the median is (a6+a7) /2

a6 = 87, a7 = 89

so, the median = (87+89)/2 = 88

Answer:

B. 88

--

the median is (a6+a7) /2

a6 = 87, a7 = 89

so, the median =\(\frac{87+89}{2}\)= 88

Answer:

for the 1 one

Step-by-step explanation:

think it helps you

Answer:

1. 12

2. 6

3. 4.5

4. 7

Don't quite under #5

Explanation:

Sample mean = ΣX / n

1. 108 / 9 = 12

2. 72 / 12 = 6

3. 2 + 7 + 9 + 4 + 5 + 3 + 0 + 6 = 36 / 8 = 4.5

4. 8 + 2 + 5 + 7 + 12 + 9 + 11 + 3 + 6 = 63 / 9 = 7

Answer:

2/ 3.00

3/4.50

4/6.00

Step-by-step explanation:

Answer:

Step-by-step explanation:

In the set-builder notation, the set C that contains the elements {-9, -6, -3, 3, 6, 9} can be written as:

C = {x | x ∈ Z and x ∈ {-9, -6, -3, 3, 6, 9}}

where "x" is a variable, "Z" represents the set of integers, and the expression "x ∈ {-9, -6, -3, 3, 6, 9}" specifies that x can only take on the values of -9, -6, -3, 3, 6, or 9.

Alternatively, we can write it as:

C = {-9, -6, -3, 3, 6, 9}

This notation is used to express a set of elements that have a common property or belong to a specific category, it makes it easy to understand and to read what the set consists of.

=====================================================

Work Shown:

A = P(consonant)

A = 3/4 since there are 3 consonants out of 4 letters in the word "SKIP".

B = P(even number)

B = 3/6

B = 1/2

P(consonant, even number) = A*B

P(consonant, even number) = (3/4)*(1/2)

P(consonant, even number) = 3/8

P(consonant, even number) = 0.375

Answer:

y= -1-2x

Step-by-step explanation:

\(4x + 2y = −2\)

Move 4x to the right and change it's sign

\(2y = - 2 - 4x\)

Divide through by 2

\( \frac{2y}{2} = \frac{ - 2}{2} - \frac{4x}{2} \)

Simplify

\(y = - 1 - 2x\)

The estimate the number of households in the sample that lost electricity by giving the mean of the relevant distribution is 3.5 and the quantify the uncertainty of your estimate by giving the standard deviation of the distribution is 1.64.

As per the question given,  

Imagine you're in Portland, Oregon, and a rainstorm has just passed through, causing a power outage in 7% of the households in the city. Now suppose you take a random sample of 50 households to see how many of them were affected by the outage. How can you estimate the number of households in the sample that lost electricity, and how certain can you be of your estimate?

By using the binomial distribution with parameters n=50 and p=0.07, we can calculate that the average number of households in a random sample of 50 that lost electricity is 3.5. This means that we can expect around 3 or 4 households in the sample to have been affected by the power outage on average.

But we don't just want to know the average - we also want to know how much variation we can expect in our sample. By calculating the standard deviation of the distribution, we can see that the number of households that lost electricity in a sample of 50 is likely to vary by around 1.64 on average.

Of course, it's important to keep in mind that these calculations assume that our sample is random and representative of the population of Portland households, and that there are no dependencies or correlations between households that could affect the probability of losing electricity during the rainstorm. But armed with this information, we can make a reasonable estimate of the number of households affected by the power outage and have a sense of how uncertain our estimate is likely to be.

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Answer: D

I believe :0

The table which represents a linear function is table 4.

Function is a type of relation, or rule, that maps one input to specific single output.

In mathematics, a function is an expression, rule, or law that describes the relationship between one variable (the independent variable) and another variable (the dependent variable) (the dependent variable). In mathematics and the physical sciences, functions are indispensable for formulating physical relationships.

Linear function is a function whose graph is a straight line

We are given that;

The tables in the question

Now,

The table that represents a linear function is:

X   Y

1   3

2   7

3   11

4   15

The reason this is a linear function is that for each increase in the input value of X by 1, the output value of Y increases by a constant amount of 4. In other words, the rate of change of Y with respect to X is constant at 4, indicating a linear relationship between the two variables.

Therefore, the answer of the function will be table 4.

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Answer:

1 r 4

Step-by-step explanation:

 0 1

6 1 0

− 0  

 1 0

−   6

   4

We need to first make these improper fractions. 5 = 40/8, so 40/8+6/8 = 46/8. Similarly, 4 = 20/5, so 20/5+4/5=24/5.

So we need to find the value of 46/8+24/5. Multiply the first fraction by 5/5 and second fraction by 8/8 to get the same denominator. We get (46*5+24*8)/8*5 = 422/40. This is equal to 400/40 + 22/40 = 10+22/40.

So the third answer choice is correct.

Hope that helped!

a) The slope of a line perpendicular for the  equation  y=1.9x−4.8 is -1/1.9

b) The slope of a line perpendicular for the  equation  y=−75x+2 is -75.

For the first equation, we can start by realizing that the slope of a line perpendicular to a given line is the negative reciprocal of the slope of a given line. To find the slope of the given line, we can use the point-slope form of a line, y=mx+b, where m is the slope and b is the y-intercept. Now plugging in the given equation, we get 1.9x-4.8=mx+b, which simplifies to m=1.9. taking the negative reciprocal of m=1.9, we get -1/1.0 for the slope of the line perpendicular to the given equation.

For the second equation, we can use the same process as the first. We have y=-75x+2, which can be written as -75x+2 = mx+b. Simplifying, we get m=-75. Taking the negative reciprocal of ma=-75, we get 75/1 for the slope of the line perpendicular to the given equation.

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Answer:

We can start by using the second equation to eliminate x:

2x + 5y - 2z = 3

2x = -5y + 2z + 3

x = (-5/2)y + z + 3/2

Now we can substitute this expression for x into the first and third equations:

x + y + z = 4

(-5/2)y + z + 3/2 + y + z = 4

(-5/2)y + 2z = 5/2

x + 7y - 7z = 5

(-5/2)y + z + 3/2 + 7y - 7z = 5

(9/2)y - 6z = 7/2

Now we have a system of two equations with two variables, (-5/2)y + 2z = 5/2 and (9/2)y - 6z = 7/2. We can use any method to solve for y and z, such as substitution or elimination. However, we will find that the system is inconsistent, meaning there is no solution that satisfies both equations.

Multiplying the first equation by 9 and the second equation by 5 and adding them, we get:

(-45/2)y + 18z = 45/2

(45/2)y - 30z = 35/2

Adding these two equations, we get:

-12z = 40/2

-12z = 20

z = -5/3

Substituting z = -5/3 into (-5/2)y + 2z = 5/2, we get:

(-5/2)y + 2(-5/3) = 5/2

(-5/2)y - 10/3 = 5/2

(-5/2)y = 25/6

y = -5/12

Substituting y = -5/12 and z = -5/3 into any of the original equations, we get:

x + y + z = 4

x - 5/12 - 5/3 = 4

x = 29/12

Therefore, the solution is (x, y, z) = (29/12, -5/12, -5/3). However, if we substitute these values into any of the original equations, we will find that it does not satisfy the equation. For example:

2x + 5y - 2z = 3

2(29/12) + 5(-5/12) - 2(-5/3) = 3

29/6 - 5/2 + 5/3 ≠ 3

Since there is no solution that satisfies all three equations, the system is inconsistent.

Step-by-step explanation:

Answer:

See below for proof.

Step-by-step explanation:

A system of equations is not consistent when there is no solution or no set of values that satisfies all the equations simultaneously. In other words, the equations are contradictory or incompatible with each other.

Given system of equations:

\(\begin{cases}x+y+z = 4\\2x+5y-2z =3\\x+7y-7z =5\end{cases}\)

Rearrange the first equation to isolate x:

\(x=4-y-z\)

Substitute this into the second equation to eliminate the term in x:

\(\begin{aligned}2x+5y-2z&=3\\2(4-y-z)+5y-2z&=3\\8-2y-2z+5y-2z&=3\\-2y-2z+5y-2z&=-5\\5y-2y-2z-2z&=-5\\3y-4z&=-5\end{aligned}\)

Subtract the first equation from the third equation to eliminate x:

\(\begin{array}{cccrcrcl}&x&+&7y&-&7z&=&5\\\vphantom{\dfrac12}-&(x&+&y&+&z&=&4)\\\cline{2-8}\vphantom{\dfrac12}&&&6y&-&8z&=&1\end{aligned}\)

Now we have two equations in terms of the variables y and z:

\(\begin{cases}3y-4z=-5\\6y-8z=1\end{cases}\)

Multiply the first equation by 2 so that the coefficients of the variables of both equations are the same:

\(\begin{cases}6y-8z=-10\\6y-8z=1\end{cases}\)

Comparing the two equations, we can see that the coefficients of the y and z variables are the same, but the numbers they equate to is different. This means that there is no way to add or subtract the equations to eliminate one of the variables.

For example, if we subtract the second equation from the first equation we get:

\(\begin{array}{crcrcl}&6y&-&8z&=&-10\\\vphantom{\dfrac12}-&(6y&-&8z&=&\:\:\;\;\:1)\\\cline{2-6}\vphantom{\dfrac12}&&&0&=&-11\end{aligned}\)

Zero does not equal negative 11.

Since we cannot eliminate the variable y or z, we cannot find a unique solution that satisfies all three equations simultaneously. Therefore, the system of equations is inconsistent.

The collusive outcome is better for both firms than the Bertrand outcome.

Setting the price equal to marginal cost gives us:

P = $100

Substituting into the demand function, we get:

Q = 140 - (100/0.5) = 40

Therefore, each firm will sell 20 units of service, for a total of 40 units sold. The market price will be $100, and each firm will earn zero profit

The market demand function is:

P = 70 - 0.5Q

Total revenue for the monopoly is:

TR = P*Q = (70 - 0.5Q)*Q = 70Q - 0.5Q^2

The marginal revenue function is:

MR = dTR/dQ = 70 - Q

Setting marginal revenue equal to marginal cost (which is still $100), we get:

70 - Q = 100

Q = 30

Therefore, the monopoly will sell 30 units of service. Each firm will sell half of this quantity, or 15 units. The market price will be:

P = 70 - 0.5Q = $55

Each firm's total revenue will be:

TR = P*Q = $1,650

Each firm's total cost will be:

TC = 100*15 = $1,500

Therefore, each firm will earn a profit of:

π = TR - TC = $150

Note that this collusive outcome is better for both firms than the Bertrand outcome,

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Answer:

y=11x

Step-by-step explanation:

we use formula y2-y1/x2-x1 with 2 of the order pairs

22-11/2-1

11/1

11 is the slope

We find y intercept by finding when x is equal to zero and we subtract 11 until we find the 0 x unit since it goes down 11 every time

When x is zero y is zero so we write it like this

Y=11x

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Answer:

36 green marbles

Step-by-step explanation:

If 60% of the 60 marbles in the bag are green, then the number of green marbles can be calculated as:

Green marbles = 60% x 60 marbles

To simplify this calculation, we can convert 60% to a decimal by dividing by 100:

Green marbles = 0.60 x 60 marbles

Green marbles = 36 marbles

Therefore, Rudy received 36 green marbles.

Answer: 36

Step-by-step explanation:

60 is 6/10 of 100 so if you are taking a percent of 60 just multiply the percentage by 6/10. 6/10 of 60 is 36

Answer: The cost of each new uniform is $89.

The initial investment will be doubled after approximately 14.6 years.

The formula for continuous compounding is given by the formula A = Pe^(rt). We we want to find the time it takes for the initial investment to double, so we can set A = 2P and solve for t:

2P = Pe^(rt)

e^(rt) = 2

Taking the natural logarithm of both sides, we get:

rt = ln(2)

t = ln(2)/r

Substituting the values:

t = ln(2)/0.0475

t = 14.5925722223

t ≈ 14.6 years.

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By first method, he volume of the rectangular prism is (9/32) cubic feet.

By second method, the volume of the rectangular prism is (27/64) cubic feet, which agrees with the volume calculated using the first method.

Volume is a measurement of the amount of space that an object occupies. It is the three-dimensional space occupied by an object. Volume is typically measured in cubic units such as cubic meters, cubic centimeters, cubic feet, and so on.

We can determine the volume of the rectangular prism in two different ways using the formula:

Volume = Length x Width x Height

First Method:

In the first method, we simply substitute the given dimensions of the rectangular prism into the formula and calculate the volume:

Volume = (3/4) ft x (3/8) ft x (3/4) ft

Volume = (9/32) ft³

Second Method:

In the second method, we can use the fact that the rectangular prism can be divided into 4 smaller rectangular prisms, each with dimensions (3/4) ft x (3/8) ft x (3/16) ft. We can calculate the volume of one of these smaller prisms and then multiply by 4 to get the total volume:

Volume of one smaller prism = (3/4) ft x (3/8) ft x (3/16) ft

Volume of one smaller prism = (27/256) ft³

Total volume = 4 x Volume of one smaller prism

Total volume = 4 x (27/256) ft³

Total volume = (27/64) ft³

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The mathematical expression for the given algebraic expression is,

⇒ k / 5

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

We have to given that;

The algebraic expression is,

⇒ One-fifth of a number, k

Now, We can write the mathematical expression for the given algebraic expression is,

⇒ One-fifth of a number, k

⇒ 1/5 of k

⇒ 1/5 × k

⇒ k / 5

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The graph of the linear function t(m) = -0.2m + 6 is given at the end of the answer.

A linear function, in slope-intercept format, is modeled according to the following rule:

y = mx + b

In which:

In this problem, the function is defined by:

t(m) = -0.2m + 6.

Hence:

To graph the function, we have to consider the constraint that the time cannot be negative, hence the domain is:

t ≥ 0.

Thus, the graph is given by the image at the end of the answer.

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