according to a gallup poll, it is reported that 81% of americans donated money to charitable organizations in 2021. if a researcher were to take a random sample of 6 americans, what is the probability that: a. exactly 5 of them donated money to a charitable cause?

The equation that best represents the relationship is y = ½x + 2

A linear equation is an algebraic equation of the form y=mx+b. involving only a constant and a first-order (linear) term, where m is the slope and b is the y-intercept.

From the values of x and y, let's check if the graph of y against x is linear

taking points x( 2,4) y(3,4)

slope =( 4-3)/4-2

slope = 1/2

therefore the graph is linear and slope is 1/2

the equation of a straight line = y − y 1 = m ( x − x 1 )

= y-3 = m( x- 2)

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

y = ½x -1+3

y = ½x +2

therefore the equation that best represents the relationship is y = ½x + 2

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Answer:

9x^2-3x - 12

Step-by-step explanation:

(9x^2 + 6x - 7) + (-9x -5)

Simplify the expression:

9x^2 - 3x - 12

Factor:

Add and subtract the second term to the expression and factor by grouping.

3( x + 1 ) ( 3x - 4 )

Standard form:

9x^2 - 3x - 12

I hope this helps :)

The curve defined by the equation -8x^2 + 5xy + y^3 = -149 represents a relationship between the variables x and y. This equation defines a curve in the two-dimensional plane

We need to analyze the curve defined by the equation -8x^2+5xy+y^3=-149. This curve is a 2-dimensional object that can be plotted on a Cartesian coordinate system. In order to plot the curve, we need to first rewrite the equation in terms of y. Once we have the equation in terms of y, we can plot the curve by choosing different values of x and solving for y. This will give us a set of points that we can then plot on a graph. By connecting these points, we can create a visual representation of the curve.

In conclusion, to analyze the curve defined by the equation -8x^2+5xy+y^3=-149, we need to rewrite the equation in terms of y and then plot the curve by choosing different values of x and solving for y. This will give us a set of points that we can then plot on a graph. By connecting these points, we can create a visual representation of the curve.
To consider the curve defined by the equation -8x^2 + 5xy + y^3 = -149, we can analyze its features and discuss some of its properties. This curve is a type of implicit function, meaning that it is not possible to isolate either x or y to create an explicit function. Nonetheless, the equation is still useful for understanding the relationship between x and y.

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Answer:

  A. x = -37/14

  B. x ≠ 9/2 or 1/3

Step-by-step explanation:

Given the rational equation 8/(2x -9) = 5/(3x -1), you want to know the solution and the restrictions on the variable.

The variable cannot take on any value that makes the equation undefined. The equation will be undefined if either denominator is zero, so we cannot have ...

  2x -9 = 0   ⇒   x = 9/2

or

  3x -1 = 0   ⇒   x = 1/3

The value of the variable may not be 1/3 or 9/2.

We can subtract the right side from both sides to get ...

  \(\displaystyle \dfrac{8}{2x-9}=\dfrac{5}{3x-1}\qquad\text{given equation}\\\\\\\dfrac{8}{2x-9}-\dfrac{5}{3x-1}=0\qquad\text{subtract right side}\\\\\\\dfrac{8(3x-1)-5(2x-9)}{(2x-9)(3x-1)}=\dfrac{24x-8-10x+45}{(2x-9)(3x-1)}=0\\\\\\14x+37=0\qquad\text{numerator must be zero}\\\\\boxed{x=-\dfrac{37}{14}}\qquad\text{subtract 37, divide by 14}\)

Answer:

i believe its B

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

We would need to multiply 45 with 20 to get an answer of 1170, but since we also have a remainder, we add that remainder of 30 to 1170 to get 2000. Hope this helped.

Select a variable of interest to record frequency of results, such as hours spent studying or miles run per day. Collect data from different individuals or over a longer period. In your PowerPoint slides, include an introduction, data collection method, data analysis, central tendency measures, dispersion measures, and conclusion. Use visual aids like graphs and charts for better understanding.

To select a variable of interest to record the frequency of results, you can choose something like the number of hours spent studying per week or the number of miles run per day. These variables can be measured and recorded easily.

To obtain at least 30 data values, you can collect data from different individuals or over a longer period of time. For example, you can ask 30 different people about the number of hours they spend studying per week or track your own running distance for 30 days.

In your PowerPoint slides, make sure to include the following:

1. Introduction: Start with a title slide and introduce the variable you have chosen.

2. Data Collection Method: Explain how you collected the data and the process you followed to ensure accuracy and consistency.

3. Data Analysis: Present the frequency distribution table or histogram of your collected data. Include the frequency of each value or range of values.

4. Measures of Central Tendency: Calculate and present the mean, median, and mode of the data to describe the average or most common value.

5. Measures of Dispersion: Calculate and present the range and standard deviation of the data to describe the spread or variability of the values.

6. Conclusion: Summarize your findings and any insights you gained from analyzing the frequency of results.

Make sure to keep your PowerPoint slides concise, clear, and visually appealing. Use graphs, charts, and bullet points to enhance understanding.

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Answer:

\( \)

Simultaneous

Answer:

11.4

Step-by-step explanation:

Divid the numerator (57) by the denominator (5) and you'll get 11.4

Answer:

11.4

Step-by-step explanation:

To turn a fraction into a decimal, divide the numerator (top number) by the denominator(bottom number).

57 divided by 5 is 11.4

Answer is written down below

Answer:

3x^2z√2

/ 2y

Step-by-step explanation:

Simplify the radical by breaking the radicand up into a product of known factors, assuming positive real numbers.

Answer:

B. \(\frac{1}{6}\)

Step-by-step explanation:

imma human calculator and no one can stop me

Answer:

The answer is not finished but if John is buying the materials and paying for the labor then the answer will be $510.

Step-by-step explanation:

I’m sorry if I didn’t help but the answer is not written out enough…

The net profit margin for this shirt is 55%.

What is net profit?

Net profit is the amount of money your business earns after deducting all operating, interest and tax expenses over a period of time. To arrive at this value, you need to know the company's gross profit. If the value of net profit is negative, it is called net loss.

Net profit is another important parameter that determines the financial health of your business. It shows whether the company can earn more than it spends. Net profit helps you decide when and how to expand your business and when to cut costs.

It is important for a business owner to know the difference between profit and profitability. Profit is an absolute number equal to revenues minus expenses. Profitability, on the other hand, is a relative number (percentage) that equals the ratio of profit to revenue.

Profitability is a measure of efficiency and is useful in determining the success or failure of a business.

Given,

Revenue = $12

Cost of goods sold = $3

Operating expenses = 20% of revenue = 20/100 x $12 = $2.4

We know,

Net Profit = Revenue - Cost of goods sold - Operating expenses

\(Net \: Profit = 12 - 3 - 2.4\)

Hence, Net Profit = $6.6

Again,

Net Profit Margin = (Net Profit / Revenue) x 100%

Net Profit Margin \(= ( \frac{6.6}{ 12}) \times 100\%\)

SO, Net Profit Margin = 55%

Therefore, the net profit margin for this shirt is 55%.

So, it is clear that choice A is correct.

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The ONB for the given plane in R3 is ū = [-5/√(26), 1/√(26), 0] and ī = [25/(√(26/13)), -5/(√(26/13)), 0].

To find an orthonormal basis for the plane x + 5y + 4z = 0, we first solve the system and get the parametric solution

x = -5t - 4s

y = t

z = s

Assigning parameters s and t to the free variables and writing the solution in vector form as su + tv, we get

[-5t - 4s, t, s] = t[-5, 1, 0] + s[-4, 0, 1]

Taking u = [-5, 1, 0] and v = [-4, 0, 1], we normalize u to have norm 1 by dividing it by its length

||u|| = √(26)

ū = [-5/√(26), 1/√(26), 0]

To find the component of v orthogonal to u, we take the dot product of v and u, and divide it by the dot product of u and u, and then multiply u by this scalar

v - ((v · u) / (u · u))u

v · u = -5

u · u = 26

v - (-5/26)[-5, 1, 0]

v - [25/26, -5/26, 0]

Finally, we normalize this vector to have norm 1

||v - proj_u v|| = √(26/13)

ī = [25/(2√(26/13)), -5/(2√(26/13)), 0]

Therefore, the orthonormal basis for the plane x + 5y + 4z = 0 is ū = [-5/√(26), 1/√(26), 0] and ī = [25/(√(26/13)), -5/(√(26/13)), 0].

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proper scientific notation: 3.6 x 10⁻⁵

standard form: 0.000036

-2x + 9 = 21

Step 1: subtract 9 from both sides.

-2x = 12

Step 2: divide both sides by -2.

X = -6

Answer:

(x,y)-->(x+8,y-3)

Step-by-step explanation:

just took the test

Answer:

(x, y) → (x + 8, y – 3)

Step-by-step explanation:

I completed the assignment on edge and got 100%

Answer:

4

Step-by-step explanation:

the answer is 4

x=2 and the hypotonouse is equal to 2x

Answer:

The mean of the 10 sales amounts for store A is $40,000.

Step-by-step explanation:

Given;

yˆ= −3,000 + 1.2x ...................... (1)

Where;

x = sales amounts each day at store A or the mean of the 10 sales amounts for store A = ?

yˆ = sales amounts each day at store B or the mean of the 10 sales amounts for store B = $45,000

Substituting y = 45,000 into equation (1) and solve for x, we have:

45,000 = −3,000 + 1.2x

45,000 + 3,000 = 1.2x

48,000 = 1.2x

x = 48,000 / 1.2

x = 40,000

Therefore, the mean of the 10 sales amounts for store A is $40,000.

The coordinates for PLUTO are P(3,2), L(5, -2), U(1, -6), T-3, -2) and O(-1, 1)

When a figure is rotated 90 degrees clockwise about the origin, its new coordinates are found by switching the x and y values of each point and then negating the new x value. This means that if a point had coordinates (x, y) in the original figure, its new coordinates in the rotated figure would be (-y, x).

Using this information, we can find the coordinates of each vertex of PLUTO by working backwards from the coordinates of the vertices of P'L'U'T'O'. For example, the coordinates of P can be found by negating the y-coordinate of P' and switching the x and y values. Applying this formula to P'(2,-3) gives us P(3,2).

Similarly, the coordinates of L can be found by negating the y-coordinate of L' and switching the x and y values. Applying this formula to L'(-2,-5) gives us L(5,-2).

Then for the other coordinates are calculated based on then we get the following,

U'(-6,-1) is U(1, -6)

T'(-2,3) is (-3, -2)

and O'(1,1) is (-1, 1).

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Step-by-step explanation:

We can use trigonometry to solve this problem. Let's draw a diagram:

```

A - observer (1.5 m above ground)

B - base of the clock tower

C - top of the clock tower

D - intersection of AB and the horizontal ground

E - point on the ground directly below C

C

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| x

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-------------

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|

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B

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A

```

We want to find the height of the clock tower, which is CE. We have the angle of elevation ACD, which is 19 degrees, and the distance AB, which is 100 m. We can use tangent to find CE:

tan(ACD) = CE / AB

tan(19) = CE / 100

CE = 100 * tan(19)

CE ≈ 34.5 m (rounded to 1 decimal place)

Therefore, the height of the clock tower is approximately 34.5 m.

The triangle that has the coordinates as A(0,-4) B(0,-9) C(-2,-5) is; A scalene Triangle

The formula for the distance between two coordinates is;

D = √[(y₂ - y₁)² + (x₂ - x₁)²]

Thus;

Distance AB = √[(-9 + 4)² + (0 - 0)²]

Distance AB = √25

Distance AB = 5

Distance BC = √[(-5 + 9)² + (-2 - 0)²]

Distance BC = √20

Distance CA = √[(-4 + 5)² + (-2 - 0)²]

Distance CA = √5

Since the three sides all have different lengths, then they the triangle is said to be a scalene triangle.

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Answer:

-1/10

Step-by-step explanation:

after (.) we put zero in the denominator according to how many numbers are after .

-0.1= -1/10

hope this will help you

plz mark me as braniliest

For the given scatter plot, line C fits the best to represent the data represented as the line is as close as possible to all of the points, so it better represents the trend between them.

A scatterplot is known to be a series of points plotted on horizontal and vertical axes. Scatter plots are crucial in statistics because they can represent the degree, if any, of correlation between the values ​​of observed quantities or phenomena (called variables). If case of no correlation between the variables, the points will appear randomly scattered all over  the coordinate plane. If the correlation is high, the points will be clustered around the straight line.

A scatter chart is a type of data visualization tool that aids to show trends. A best-fit line is defined as a line that more accurately represents the various points on the scatterplot.

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Answer:

3.35 km

Step-by-step explanation:

→ Divide the total distance by the number of laps

26.8 ÷ 8 = 3.35 km

numbers:

2, 4, and 5

I am so sorry if i'm wrong!!! :|

the area of the rectangle is 247,500 cm².

the length of the rectangle be l.

Then the width will be (l - 100) cm.

The perimeter of the rectangle can be defined as the sum of all four sides.

Perimeter = 2 (length + width)

So,2,000 cm = 2(l + (l - 100))2,000 cm

= 4l - 2000 cm4l

= 2,200 cml

= 550 cm

Now, the length of the rectangle is 550 cm. Then the width of the rectangle is

(550 - 100) cm = 450 cm.

Area of the rectangle can be determined as;

Area = length × width

Area = 550 cm × 450 cm

Area = 247,500 cm²

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The equation of the red graph is G(x) = 4 - x⁴

In mathematics, the parent function is the simplest function in a family of functions from which other functions are derived by suitable transformations.

For example,

the parent function in f(t) = t² - 5 is P(t) = t²

From the given graph, the parent function is x⁴ from which -x⁴ is derived and this gives the shape of the graph.

The function F(x) = 3 - x⁴ shifts the graph of -x⁴ by 3 units upward.

The function G(x) = 4 - x⁴ shifts the graph an additional 1 unit upward from F(x) = 3 - x⁴ as shown in the graph

Hence the graph in red is represented by the equation

• G(x) = 4 - x⁴

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