a politicians support increases from 34% ro 51%. determine the actual and relative change in this situation.

Answers

Answer 1

The actual change in the politician's support is 17% (51% - 34%). The relative change can be calculated as (actual change/original value) x 100, which in this case is ((51% - 34%)/34%) x 100 = 50%. Therefore, the politician's support has increased by 50% relative to the original value of 34%.

To determine the actual and relative change in a politician's support that increases from 34% to 51%, we need to follow these steps:

Step 1: Calculate the actual change.
Actual Change = Final Percentage - Initial Percentage
Actual Change = 51% - 34%
Actual Change = 17%

Step 2: Calculate the relative change.
Relative Change = (Actual Change / Initial Percentage) * 100
Relative Change = (17% / 34%) * 100
Relative Change ≈ 50%

So, the actual change in the politician's support is 17%, and the relative change is approximately 50%.

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Related Questions

There are 15 students in your class. 10 students received an A. It took them 25 minutes to complete the test. What does that fraction look like?

Answers

Answer:

15 10/25 i am not that smart

Step-by-step explanation:

what should be subtracted from -5/3 to get 5/6

Answers

Answer:

-3/4-x=5/6

x=-3/4-5/6

x=-3*6-5*4/6*4

x=-18-20/24

x=-38/24

x=-19/12

Step-by-step explanation:

hope it helps  

stay safe love u

btw can i get brainliest

Answer:

-5/3 - x = 5/6

-x = 5/6 +5/3

-x/-1 = (5/2)/-1

therefore x = -5/2

therefore -5/2 must be subtracted

5. The state-space representation for 2x + 4x' + 5x = 10e¹ is 0 0 = [₁]. + + [9] e 98 99 910 0 1 6. Calculate the eigenvalue of the state-space coefficient matrix [-₁ using the methods -7a -2a demonstrated in your lecture notes (Note that a is a positive constant, do not assume values for a). If your eigenvalues are real and different, let ₁ be the smaller of the two eigenvalues when comparing their absolute values, for example, if your eigenvalues are -3 and 7, their absolute values are 3 and 7 with 3 < 7 and ₁ = -3. If your eigenvalues are a complex conjugate pair, let ₁ be the eigenvalue with the positive imaginary part. The eigenvalue you must keep is 2₁ : = q11a + 912 a j Note that if is real valued that 912 = 0 7. The general solution of a non homogeneous state-space equation is given below. Use the initial conditions to determine the value of C₁. X [*] = C₁ ¹² [2¹₁] + €₁₂-²¹ [ 2 ] + [4] given Xx(0) = 0,x(0) = 2 C₁e(2j) t C₂e-2jt x' You calculated that C₁ = 913+914 j Note that if C₁ is a real number that 914 = 0. et

Answers

The eigenvalue of the state-space coefficient matrix [-1] is λ = -1.

To calculate the eigenvalue of the state-space coefficient matrix [-₁, we need to use the methods demonstrated in the lecture notes. Let's proceed with the calculation.

To find the eigenvalues, we need to solve the characteristic equation |A - λI| = 0, where A is the coefficient matrix, λ is the eigenvalue, and I is the identity matrix.

The coefficient matrix is:

[-1]

Subtracting λ from the diagonal elements, the characteristic equation becomes:

|[-₁ - λ]| = 0

Expanding the determinant, we have:

(-₁ - λ)(- λ) - ( - ₁)(0) = 0

Simplifying further:

(λ + ₁)(λ) = 0

The eigenvalues are the values of λ that satisfy this equation. From the equation, we can see that there are two eigenvalues: λ = -₁ and λ = 0.

Now, we need to determine the value of ₁ based on the given conditions. Since the eigenvalues are real and different, we take the smaller absolute value, which is 0. Therefore, ₁ = 0.

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Explain how to use models to find 3x 3/4 and 3/4 x 3. Include a picture of each model

Answers

The use of models shown in explanation.

The answer get in fraction = 27/4

What is the model method?

The 'Model' method helps students visualize the abstract mathematical relationships and the varying problem structures through pictorial representations (Kho 1987). The method was first introduced to primary four students in 1983 through the Primary Mathematics 4A textbook.

From the question, We have the information available is:

The expression is :

\(3\) × \(\frac{3}{4}\) and  \(\frac{3}{4}\) × 3

For solving this problem with help of multiplication model.

We will follow the following steps :

Step 1: We take the 3 boxes  in which each is of 3/4

Step 2: Add the total value of these 3 boxes.

=> \(\frac{3}{4} +\frac{3}{4} +\frac{3}{4}\)

=> \(\frac{9}{4}\)

Step 3: Simplify the expression, according to the given in question:

3 × 9/4

=> 27/4

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uan angle is supplement add up to 200° true or false​

Answers

Answer:

Hi, there!

False Is the correct Answer

angles that form a straight line are supplementary, adding up to 180 degrees.

xXxAnimexXx

have a great day!

x² + 5x + 4
Factor the polynomial

Answers

Answer: (x+4) (x+1)

X^2+4x+x+4

Answer:

\((x+4)(x+1)\)

Step-by-step explanation:

the formula is

\((x+a)(x+b)=x^{2}+(a+b)x+ab\)

so

a+b=5

ab=4

so the possible values are

a=1 b=4

a=4 b=1

we have

\((x+4)(x+1)\\\\(x+1)(x+4)\)

it's the same

so the factor

\((x+4)(x+1)\)

Determine the most precise name for KIET (parallelogram,rhombus,rectangle or square.) you must use slope or length. K(0,0) I(2,2) T(5,-5) E(7,-3)

Answers

Answer: rectangle.

Step-by-step explanation:

Given points: K(0,0) I(2,2) T(5,-5) E(7,-3)

Distance formula to find distance between \(A(a,b)\) and \(B(c,d)\): \(AB=\sqrt{(d-b)^2+((c-a)^2}\)

\(KI=\sqrt{(2-0)^2+(2-0)^2}=\sqrt{4+4}=\sqrt{8}=2\sqrt{2}\ units\)

\(KT=\sqrt{(5-0)^2+(-5-0)^2}=\sqrt{25+25}=\sqrt{50}=5\sqrt{2}\ units\)

\(TE=\sqrt{(7-5)^2+(-3+5)^2}=\sqrt{4+4}=\sqrt{8}=2\sqrt{2}\ units\)

\(IE=\sqrt{(7-2)^2+(-3-2)^2}=\sqrt{25+25}=\sqrt{50}=5\sqrt{2}\ units\)

i.e. KI = TE and KT= IE, so opposite sides equal.

It can be a parallelogram or rectangle. [if all sides are equal it would be square or rhombus]

\(IT=\sqrt{(5-2)^2+(-5-2)^2}=\sqrt{3^2+7^2}=\sqrt{9+49}=\sqrt{58}\ units\)

\(KE=\sqrt{(7-0)^2+(-3-0)^2}=\sqrt{7^2+3^2}=\sqrt{9+49}=\sqrt{58}\ units\)

IT= KE, i.e. diagonals are equal.

It means KIET is  a rectangle.

Determine the most precise name for KIET (parallelogram,rhombus,rectangle or square.) you must use slope

Plz help me solve this inequality! I’m timed!

Plz help me solve this inequality! Im timed!

Answers

Answer:

y > 1

General Formulas and Concepts:

Pre-Algebra

Equality Properties

Step-by-step explanation:

Step 1: Define inequality

3(y - 2) + 4(3 - 2y) < 6(3y - 1) - 11y

Step 2: Solve for y

Distribute:                              3y - 6 + 12 - 8y < 18y - 6 - 11yCombine like terms:              -5y + 6 < 7y - 6Add 5y to both sides:           6 < 12y - 6Add 6 to both sides:             12 < 12yIsolate y:                                 1 < yRewrite:                                  y > 1

Here we see that any number y greater than 1 would work as a solution.

The expression 100 + 20m, gives the volume of water in Eduardo’s pool (in liters) after Eduardo spends m minutes filling his pool.
What is the volume of water in Eduardo’s pool after he fills it for 5 1/4 minutes?

Answers

205 liters in 5 1/4 minutes

m = 5 1/4

20 (5 1/4) = 105

100+105= 205

SOLVE THIS SYSTEM! WILL MAKE YOU BRAINLIST!

SOLVE THIS SYSTEM! WILL MAKE YOU BRAINLIST!

Answers

Answer:

x = 19

y = 16

Step-by-step explanation:

10x - 9y = 46

-2x + 3y = 10

Time the second equation by 5

10x - 9y = 46

-10x + 15y = 50

6y = 96

y = 16

Now put in 16 for y and solve for x

10x - 9(16) = 46

10x - 144 = 46

10x = 190

x = 19

Will give Brainliest

Will give Brainliest

Answers

Answer:

4 nickels

12 quarters

Step-by-step explanation:

If its wrong let me know

1/16 x 6 then round to 2 decimal places.

Answers

Answer:

0.38

Step-by-step explanation:

There is a cell phone manufacturer whose cost to manufacture x number of phones is 2000x + 750000, and the revenue generated from manufacturing x number of cell phones is -0.09x squared + 700x

Answers

The profit function made by the cell phone manufacturer is given by -0.09x² -1300x - 750000

What is an equation?

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

An independent variable is a variable that does not depends on other variable while a dependent variable is a variable that depends on other variable.

The profit function is given as:

Profit = Revenue - Cost

Cost = 2000x + 750000, Revenue = -0.09x² + 700x, hence:

Profit = -0.09x² + 700x - (2000x + 750000) = -0.09x² -1300x - 750000

The profit function made by the cell phone manufacturer is given by -0.09x² -1300x - 750000

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what is the sum of all five digit numbers that can be formed by using the digits 1,2,3,4,5

Answers

Out of them, each 24 will have 1, 2, 3, 4 & 5 as ten thousands, thousands, hundreds, tens & unit digit.

1 + 2 + 3 + 4 + 5 = 15 so face value of each column = 15*24 = 360.

Sum = 360 (10,000 + 1,000 + 100 + 10 + 1) = 39,99,960.

To find the sum of all five-digit numbers that can be formed using the digits 1, 2, 3, 4, and 5, we need to determine the total number of permutations and calculate the sum of these permutations.

Since we are forming five-digit numbers, the thousands place can be occupied by any of the digits 1, 2, 3, 4, or 5. The remaining four digits can be arranged in 4! = 24 different ways.

So, the total number of permutations of the five digits is 5 * 4! = 5 * 24 = 120.

To calculate the sum of these permutations, we can use the fact that each digit appears in each place value an equal number of times. The sum of the digits 1, 2, 3, 4, and 5 is 1 + 2 + 3 + 4 + 5 = 15.

Since each digit appears 120/5 = 24 times in each place value, the sum of the five-digit numbers is:

15 * 11111 + 15 * 11111 * 10 + 15 * 11111 * 100 + 15 * 11111 * 1000 + 15 * 11111 * 10000

= 15 * 11111 * (1 + 10 + 100 + 1000 + 10000)

= 15 * 11111 * 11111

= 185185185

Therefore, the sum of all five-digit numbers that can be formed using the digits 1, 2, 3, 4, and 5 is 185185185.

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Given point A at(3,7) and point B at(14,9), find vector AB.

Show working out please.

Answers

Answer:

The vector AB is represented by (11, 2).

Step-by-step explanation:

Given two points on the same plane, we can determine the vector \(\overrightarrow{AB}\) by this formula:

\(\overrightarrow{AB} = B(x,y) - A(x,y)\) (1)

Where:

\(A(x,y)\) - Coordinates of point A.

\(B(x, y)\) - Coordinates of point B.

If we know that \(A(x,y) = (3, 7)\) and \(B(x,y) = (14,9)\), then the vector AB is:

\(\overrightarrow {AB} = (14,9) - (3,7)\)

\(\overrightarrow{AB} = (11, 2)\)

The vector AB is represented by (11, 2).

If A = 5 and B = 3, what will be displayed when code corresponding to the following pseudocode is run? (In the answer options, new lines are separated by commas.)
Do
Write A^2
Set A = A - 1
While A >= B

Answers

The output when the given pseudocode is executed with A = 5 and B = 3 will be "25, 16, 9, 4, 1".

The given pseudocode includes a loop that iterates as long as A is greater than or equal to B. In each iteration, the square of A is displayed, and A is decremented by 1. We are asked to determine the output when A is initially 5 and B is 3.

Step 1: Initialization

A is set to 5 and B is set to 3.

Step 2: Iteration 1

Since A (5) is greater than or equal to B (3), the loop executes.

The square of A (5²) is displayed, resulting in the output "25".

A is decremented by 1, so A becomes 4.

Step 3: Iteration 2

A (4) is still greater than or equal to B (3).

The square of A (4²) is displayed, resulting in the output "16".

A is decremented by 1, so A becomes 3.

Step 4: Iteration 3

A (3) is still greater than or equal to B (3).

The square of A (3²) is displayed, resulting in the output "9".

A is decremented by 1, so A becomes 2.

Step 5: Iteration 4

A (2) is still greater than or equal to B (3).

The square of A (2²) is displayed, resulting in the output "4".

A is decremented by 1, so A becomes 1.

Step 6: Iteration 5

A (1) is still greater than or equal to B (3).

The square of A (1²) is displayed, resulting in the output "1".

A is decremented by 1, so A becomes 0.

Step 7: Loop termination

Since A (0) is no longer greater than or equal to B (3), the loop terminates.

Therefore, The output generated by the code execution will be "25, 16, 9, 4, 1" as the squares of A (starting from 5 and decreasing by 1) are displayed in each iteration of the loop.

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time series data can often be broken down into individual components. what are two important components that may characterize a time series? what is the advantage of isolating the components?

Answers

The model can be used to forecast trends and seasonal patterns, which can be useful in planning and decision-making.

Time series data can often be broken down into individual components. Two important components that may characterize a time series are the trend component and the seasonal component. The advantage of isolating the components is that it helps in analyzing the data and making predictions more accurately.

Step-by-step explanation: Time series is a sequence of data that is collected over time and can be used to identify patterns and trends in the data. Time series data can be broken down into individual components to identify patterns and trends more accurately. Two important components that may characterize a time series are the trend component and the seasonal component. Trend Component: This component is the long-term increase or decrease in the data.

A trend may be linear or nonlinear. For example, a company's sales may have a linear upward trend over a period of years.Seasonal Component: This component is a pattern that repeats over a fixed period of time. For example, the sales of an ice cream shop may increase in the summer and decrease in the winter. Identifying the seasonal component can help the shop owner to plan inventory and staffing needs for the different seasons.

The advantage of isolating the components is that it helps in analyzing the data and making predictions more accurately. Once the trend and seasonal components are identified, a time series model can be developed to make predictions about future data. The model can be used to forecast trends and seasonal patterns, which can be useful in planning and decision-making.

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Time series data can often be broken down into individual components, which can help to isolate trends and patterns. Two important components that may characterize a time series are the trend component and the seasonal component. The advantage of isolating these components is that it can help to identify underlying patterns and trends that might not be apparent from the raw data.

1. Trend component

A trend component is the long-term pattern of change in a time series. It is the direction in which the series is moving over time.

The trend can be upward, downward, or flat. Identifying the trend component can help to identify long-term patterns and can be useful in making predictions about future trends.

2. Seasonal component

The seasonal component is the pattern of change that repeats over a fixed period of time.

For example, a time series might have a seasonal pattern that repeats every year, every month, or every week. Identifying the seasonal component can help to identify patterns that repeat over time, which can be useful in making predictions about future patterns.

Isolating these components can help to identify patterns and trends that might not be apparent from the raw data. It can also help to identify outliers and other anomalies that might be hiding in the data.

By isolating the trend and seasonal components, it is possible to make more accurate predictions about future trends and patterns in the data.

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Please help trying to answer it can be with or without step with step

Please help trying to answer it can be with or without step with step

Answers

a) 7x (x is a variable so it does not change)
b) (3a-a)+(4b+2b) = 2a+6b
c) 3bd+(5d+2d)+(-2b-b) = 3bd+7d-3b
d) -2ac-c+(4ab+3ab) = -2ac-c+7ab
e) (6a+8a)+(1+5) = 14a+6
f) (14x+12x)+(6-8) = 26x-2
g) (7b+3b)-(3+2) = 10b-5
h) (3j+8j)-(-4+6) = 11j-2
i) (-4g-6g)-(-5-12) —> (-10g)-(-17) = -10g+17

- Q1) Prove that: 2log (15÷18) - log (25÷162)+ Log(4÷9) =log 2​

Answers

Answer:

See below for proof.

Step-by-step explanation:

Given logarithmic equation:

\(2\log\left(\dfrac{15}{18}\right)-\log\left(\dfrac{25}{162}\right)+\log\left(\dfrac{4}{9}\right)=\log \left(2\right)\)

We can use Log Laws to prove that the left side of the equation equals the right side of the equation.

\(\textsf{Apply the Power law:} \quad n\log_ax = \log_ax^n\)

\(\implies \log\left(\dfrac{15}{18}\right)^2-\log\left(\dfrac{25}{162}\right)+\log\left(\dfrac{4}{9}\right)\)

\(\textsf{Apply the exponent rule:} \quad \left(\dfrac{a}{b}\right)^c=\dfrac{a^c}{b^c}\)

\(\implies \log\left(\dfrac{15^2}{18^2}\right)-\log\left(\dfrac{25}{162}\right)+\log\left(\dfrac{4}{9}\right)\)

\(\implies \log\left(\dfrac{225}{324}\right)-\log\left(\dfrac{25}{162}\right)+\log\left(\dfrac{4}{9}\right)\)

\(\textsf{Apply the Quotient law:} \quad \log_ax - \log_ay=\log_a \left(\dfrac{x}{y}\right)\)

\(\implies \log\left(\dfrac{\frac{225}{324}}{\frac{25}{162}}\right)+\log\left(\dfrac{4}{9}\right)\)

\(\implies \log\left(\dfrac{225}{324}\cdot\dfrac{162}{25}\right)+\log\left(\dfrac{4}{9}\right)\)

\(\implies \log\left(\dfrac{9}{2}\right)+\log\left(\dfrac{4}{9}\right)\)

\(\textsf{Apply the Product law:}\quad \log_ax + \log_ay=\log_axy\)

\(\implies \log\left(\dfrac{9}{2} \cdot \dfrac{4}{9}\right)\)

\(\implies \log\left(\dfrac{4}{2} \right)\)

\(\implies \log \left(2\right)\)

Hence proving that the left side of the equation equals log(2).

a) Divide 260 in the ratio 1:3​

Answers

Answer:

Step-by-step explanation:

Total number = 260

Ratio would be 1 : 3

So, the first part is given by

\(\frac{1}{4}\) x 260

=\(\frac{260}{4}\)

=65

And the second part is given by

\(\frac{3}{4}\) x 260

=\(\frac{780}{4}\)

=195

Hence, the first and second part are 65 and 195 respectively.

Complete the table of values. Please help!

Complete the table of values. Please help!

Answers

Answer:

Step-by-step explanation:

Where we have "x" must replace for the number shown on table

We have for "x" tha numbers: 0; 1; 2; 3; 4 and 5

Equation:

1.y = x+4

y = x + 4

For x = 0

y = x + 4

y = 0 + 4

y = 4

For x = 1

y = x + 4

y = 1 + 4

y = 5

For x = 2

y = x + 4

y = 2 + 4

y = 6

For x = 3

y = x + 4

y = 3 + 4

y = 7

For x = 4

y = x + 4

y = 4 + 4

y = 8

For x = 5

y = x + 4

y = 5 + 4

y = 9

So:

x     y

0    4

1     5

2    6

3    7

4    8

5    9

I hope help you.

Which of these is a nonlinear function

Which of these is a nonlinear function

Answers

Answer:

C. y = 3/x + 1

Step-by-step explanation:

A linear function is, well, a line. The line goes on indefinitely without a stopping point.

In one of these functions, there is a line with a stopping point.

The function y = 3/x + 1 has a point that does not have a value, which is 0. 0 cannot be a value in a denominator. All of the other functions can be expressed at all values.

Graphical proof is attached. The function in green has a discontinuity at x = 0 and therefore is not linear.

Which of these is a nonlinear function

The _____ probability function is based in part on the counting rule for combinations.
a. exponential b. Poisson c. uniform d. hypergeometric

Answers

The hypergeometric probability function is based on the counting rule for combinations.

This rule states that if you have two sets of items, with one set containing n1 items and the other containing n2 items, the number of possible combination of r items that can be taken from the two sets is equal to n1+n2 choose n1. This means that you have to select n1 items from the first set, then n2 items from the second set. This function is used in probability calculations to determine the probability of selecting a certain number of items from one set, given a certain number of items from the other set. It is also used to calculate the probability of a certain event occurring when items are randomly selected from two sets.


The hypergeometric probability function can be used to calculate the probability of drawing a certain number of items from a given set. It can also be used to calculate the probability of a certain event occurring. For example, if you are playing a game where you draw 5 balls out of a bag of 20, you can use the hypergeometric probability function to calculate the probability of drawing a certain number of balls from the bag.

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PLS I NEED HELP!! For each linear function graphed on the coordinate grid, enter the value of m and the value of b. Give your answers as fractions in simplest form.

PLS I NEED HELP!! For each linear function graphed on the coordinate grid, enter the value of m and the

Answers

Answer:

Red Line

m = 1/2

b = 1

Blue Line

m = 1

b = -1

Green Line

m = 3

b = 0

Step-by-step explanation:

First off, we need to know what m and b are first.

m is the slope

b means y-intercept, or, when x is 0

And to find slope use "m = y2 - y1/x2 - x1" (remember, Rise over Run, not Run over Rise!)

Red line: if you count it, you get a point on the line each time you go up once and to the right twice. We can use Rise over run. Rise is y, or its name, go up, which is the 1. then the run which is 2. So, the slope is 1/2 or m = 1/2. and we can see that the y-intercept is 1. m = 1/2, b = 1

Blue Line: This is pretty much the same as the red line, see the slope it's rise once and run once so, the slope is 1/1 which is 1. Then the y-intecept is b which is when x is 0, we check the y-axis line and we see that the y-intercept is -1. m = 1, b = -1

Green Line: And once again, the same as Red Line and Blue Line, the slope is 3. Rise is 3 times, run is once, so, 3/1 which is 3. While the y-intercept is 0 since it is on (0,0). Meaning that it goes through the origin. m = 3, b = 0

A wheelchair ramp must rise 30 inches to meet the front door of a public library. If the ramp's
angle of elevation is not to exceed 8°, what is the minimum horizontal length of the ramp (in
feet)?

Answers

The minimum horizontal length of the ramp (in feet) is approximately 17.61 feet.

We can start by visualizing the situation: the wheelchair ramp rises 30 inches vertically and we need to find its horizontal length. The angle of elevation is the angle between the ramp and the ground, and we know that it must not exceed 8°.

Let's call the horizontal length of the ramp "x". Then we can use trigonometry to find the vertical height of the ramp:

tan(8°) = 30 inches / x

Multiplying both sides by x, we get:

x × tan(8°) = 30 inches

Dividing both sides by tan(8°), we get:

x = 30 inches / tan(8°)

We can now use a calculator to determine an approximation of the value of x:

x ≈ 211.37 inches

However, the question asks for the minimum horizontal length of the ramp in feet. We can divide inches by 12 to get feet:

x ≈ 17.61 feet

Therefore, the minimum horizontal length of the ramp (in feet) is approximately 17.61 feet.

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4x + 2y = 6 in point slope form. PLEASE HELP.

Answers

Using slope-intercept form, the slope of the line 4x−2y=6 is 21 , and the y-intercept is (0,−3)

Your welcome :)

Answer:

the answer is 0,-3

Step-by-step explanation:

BRAINLIEST.... PLS ASAP

BRAINLIEST.... PLS ASAP

Answers

To find the length of the shadow of the tree, we can use the ratio of the length of the shadow to the height of the object to the length of the shadow of the tree to the height of the tree.

The ratio of the shadow of the building to the building's height is 34 meters / 204 meters = 1/6.

We can set up the following proportion to find the length of the shadow of the tree:

(shadow of the tree) / (height of the tree) = (shadow of the building) / (height of the building)

Solving for the shadow of the tree, we get:

(shadow of the tree) = (shadow of the building) * (height of the tree) / (height of the building)

Substituting in the values we know, we get:

(shadow of the tree) = 34 meters * 12 meters / 204 meters

Simplifying, we get:

(shadow of the tree) = 8.16 meters

So the shadow of the tree is approximately 8.16 meters long.

Renee has two job offers to be a door-to-door
food processor salesperson. Pro Process
Processors offers her a base salary of $15,000
per year plus an additional $25 for each
processor she sells. Puree Processors offers
her a base salary of $18,000 per year plus an
additional $21 for each processor she sells.
Determine the number of food processors
Renee would have to sell for both companies
to pay her the same amount. Explain which
job offer Renee should accept based on
the number of food processors she expects
to sell.

Answers

Answer:

Renee would have to sell 750 food processors for both companies to pay her the same amount. Also, if Renee expects to sell less than 750 food processors she should accept Puree Processors offer but if she expects to sell more than 750 food processors, she should accept Pro Process Processors offer.

Step-by-step explanation:

In order to determine the number of food processors Renee would have to sell for both companies to pay her the same amount, you can write an expression in which the salary at  Pro Process Processors is equal to the salary at Puree Processors, which can be expressed as:

15,000+25x=18,000+21x

Now, you can solve for x that represents the number of food processors:

15,000+25x=18,000+21x

25x-21x=18,000-15,000

4x=3,000

x=3,000/4

x=750

According to this, Renee would have to sell 750 food processors for both companies to pay her the same amount. Also, if Renee expects to sell less than 750 food processors she should accept Puree Processors offer but if she expects to sell more than 750 food processors, she should accept Pro Process Processors offer.

Can someone help with an explanation please

Can someone help with an explanation please

Answers

The percentage of the total hours did Andrea work is,

⇒ 27.1%

What is mean by Percentage?

A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.

Given that;

Total number of hours to work is,

⇒ 5.8 + 8.1 + 7.3 + 8.7 hours

⇒ 29.9 hours

Here, Andre work 8.1 hours.

Hence, The percentage of the total hours did Andrea work is,

⇒ 8.1 / 29.9 × 100

⇒ 27.1%

Thus, The percentage of the total hours did Andrea work is,

⇒ 27.1%

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phoebe has a hunch that older students at her very large high school are more likely to bring a bag lunch than younger students because they have grown tired of cafeteria food. she takes a simple random sample of 80 sophomores and finds that 52 of them bring a bag lunch. a simple random sample of 104 seniors reveals that 78 of them bring a bag lunch.Do these data give convincing evidence to support Phoebe’s hunch?

Answers

Yes, the data give convincing evidence to support Phoebe's hunch. As the result of the test is a p-value that is 0.1 of less than 0.05.

What is p-value?

The p-value is the probability of obtaining a result as extreme or more extreme given that the null hypothesis is true. The p-value is calculated by comparing the test statistic to the probability distribution under the null hypothesis.

The ratio of seniors bringing a bag lunch= 78/104 or 0.75,

while the ratio of sophomores bringing a bag lunch= 52/80 or 0.65.

This indicates that the proportion of seniors bringing a bag lunch is higher than the proportion of sophomores bringing a bag lunch.

Further, the difference between the proportions is

0.75-0.65 = 0.1,

which is a large enough difference to be considered significant.

The result of the test is a p-value of less than 0.05, which is statistically significant and indicates that the difference in the proportions is due to the different ages, and not due to chance.

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