A building is 53 feet high. At a distance away from the building, a 6 foot tall observer notices the angle of elevation to the top of the building is 43°. How far is the observer from the base of the building? ​

thankyou x

According to an economist, 425 out of 1,700 middle-class American households in his sample actively trade stocks.

A. The range of the percentage of middle-class Americans who actively trade stocks within the 90% confidence interval is between 0.27 and 0.27.

b. Because the true proportion might still be outside of our confidence interval, we cannot claim with certainty that the percentage is less than 50%.

a. We may use the following calculation to create a 90% confidence interval for the percentage of middle-class Americans who actively trade stocks:

\(confidence interval = sample proportion ± margin of error\)

where the error margin is provided by:

\(Critical value * Standard Error= Margin of Error\)

The critical value can be found using a t-distribution with n-1 degrees of freedom, where n is the sample size. For a 90% confidence level and 1,699 degrees of freedom, the critical value is approximately 1.645.

The following equations determine the sample proportion's standard error:

standard error = \(\sqrt{[(sample proportion x (1 - sample proportion)) / sample size]}\)

By substituting the values from the problem, we get:

sample proportion = 425 / 1,700 = 0.25

sample size = 1,700

standard error = \(\sqrt{[(0.25 x 0.75) / 1,700]}\)

standard error  = 0.014

The formula produces the following outcomes when these values are added:

confidence interval = 0.25 ± 1.645 x 0.014

confidence interval = (0.227, 0.273)

Therefore, we can say with 90% confidence that the true proportion of middle-income Americans who actively participate in the stock market lies between 0.227 and 0.273.

b. To determine whether we can conclude that the percentage of middle-income Americans who actively participate in the stock market is not 50%, we can check whether the value of 0.5 falls within the 90% confidence interval we calculated in part (a).

0.5 is not within the confidence interval of (0.227, 0.273), so we can conclude that we have evidence to suggest that the percentage of middle-income Americans who actively participate in the stock market is not 50%. However, we cannot say with certainty that the percentage is not 50% as the true proportion may still fall outside of our confidence interval.

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Answer: The one on the bottom right.

Step-by-step explanation:

Symmetry is basically like a mirror. The line of symmetry is the exact point where it starts to reflect.

A symmetrical shape can also be folded onto itself equally.

Looking at the photo, the picture on the bottom right is the left part of the figure.

To find the maximum value of the function \(f(x, y) = -3x^2 - 4y^2 + 4xy\)subject to the constraint 3x + 4y + 528 = 0 using the method of Lagrange multipliers, we set up the Lagrangian function L(x, y, λ) as follows:

\(L(x, y, λ) = -3x^2 - 4y^2 + 4xy + λ(3x + 4y + 528)\)

Next, we take partial derivatives of L with respect to x, y, and λ, and set them equal to zero:

\(∂L/∂x = -6x + 4y + 3λ = 0\)

\(∂L/∂y = -8y + 4x + 4λ = 0∂L/∂λ = 3x + 4y + 528 = 0\)

Solving these equations simultaneously will give us the critical points. Once we have the critical points, we evaluate the function f at these points to determine the maximum value.

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Answer:

52/68

Step-by-step explanation:

idr why

Answer: π

Step-by-step explanation:

An irrational number is a number that cannot be shown as a fraction. Based on this, π is an irrational number, since it goes on forever, and can never be written as a perfect fraction.

Answer:

The top one is a triangle which is the back part of the shape. The bottom left one is also a triangle and the bottom right one is a rectangle

Answer:

#1

Well lets solve the polynomial first.

(4p +3) ^2

That is basically

(4p + 3) (4p + 3)

And we’re trying to find the error in the “equal” solution.

16p^2 + 8p + 9.

So let’s solve the polynomial first

Following F.O.I.L

F- First

O- Outter

I- Inner

L- Last

So doing the equation in order.

4p * 4p = 16p^2

4p * 3 = 12p

3 * 4p = 12p

3* 3 = 9

Added it all up.

16p^2 + 12p + 12p + 9

Simplify.

16p^2 +24p +9
We can see that in this case the 8p is wrong.

So we replace 8p with 24p

In this case the last option.

Factoring #2

So we’re factoring

9x^2 -6x - 3

So how are we gonna do this.

So I’m just gonna go over the simple method.

The standard form of a quadratic is

Ax^2 + bx + c = 0

We don’t have to worry about the equal 0 part here for now.

ax^2 + bx + c

A being the number next to x^2

B is the number being next to x

C is the number that is next to nothing, jsut a plain whole number (sometimes whole number)

So let’s plug it in.

(It’s already plugged in so we can solve)

9x^2 - 6x - 3

Multiply a and c in ths case being, 9 and -3.

You’d get -27

We need two numbers that multiply to -27 and add up to -6

From here it’s guessing and checking.

Here’s my process.

trial 1

Since the sum is negative, it has to be negative + negative or positive + negative greater then the positive. Or vice versa but positive is less then negative.

But the product has to be -27,negative * negtaive is positive, so it has to be positive * negative and positive + negative.

I look at -27 and think of two numbers that would give the lowest.

-9 * 3

-9 * 3 = -27

-9 + 3 = -6

It looks like I got it already on the first try.

The numbers are -9 and 3

end of trial 1

So now I know that the numbers are -9 and 3.

Using that information I just plug it into the quadratic but replace it with b.

9x^2 -9x + 3x - 3

Now you can simplify this

In the end you’d get

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

You’d have the third option open to you

Figure out the second one using these strategies

Answer:

3*-3+2*-2=

Step-by-step explanation:

-13

Answer:

1. B. The bag of candy produced last Monday is different from the standard bag.

2. A. The bag of candy produced last Monday are like the standard bag.

3. B. The bag of candy produced last Monday is different from the standard bag.

Step-by-step explanation:

Given - A company that makes hard candy have a standard bag of hard candy with 150 pieces. The hard candy has three distinct colors red, white and orange and equal proportion of each candy is present in the standard bag. The manager wants to know whether the bags produced last Monday were similar to the standard bag. To test this, they plan to choose a random bag from the batch and compare it with the standard bag. You will have to answer questions below to assist the manager in comparing the two bags.

To find - 1. What is the alternate hypothesis for this exercise?

              2. What is the null hypothesis for this exercise?

              3. After performing the necessary calculations, the chi-square value of the test is 6.7. The cut-off/critical value of chi-square test is 5.991 (for 5% chance).  What is your conclusion about the bags based on this result?

Proof -

1.

The alternate hypothesis is - B. The bag of candy produced last Monday is different from the standard bag.

2.

The null hypothesis is - A. The bag of candy produced last Monday are like the standard bag.

3.

The conclusion is - B. The bag of candy produced last Monday is different from the standard bag.

Answer:

it is false

Step-by-step explanation:

Answer:

False

Step-by-step explanation

6+5 ?= 5+8+2

11≠15

False

With this equation it was asking you is 6+5 equal to 5+8+2

and the answer is no, false.

Answer:

3,696

Step-by-step explanation:

7x24x22 equals 3,696

24x7=168

168x22=3,696

(a) f(A ∩ B) ≠ f(A) ∩ f(B) since {0, 1} ≠ {0, 1} (b) we have proved that f(A ∩ B) ⊆ f(A) ∩ f(B) (c) our conjecture f(A ∪ B) = f(A) ∪ f(B) is true.

(a) Let's consider the function f: R → R defined by f(x) = x². We will take subsets A = [-1, 1] and B = [0, 2].

For A = [-1, 1], we have f(A) = {f(x): x ∈ [-1, 1]} = {1, 0} since f(-1) = 1 and f(1) = 1.

For B = [0, 2], we have f(B) = {f(x): x ∈ [0, 2]} = {0, 1, 4} since f(0) = 0, f(1) = 1, and f(2) = 4.

Now let's calculate f(A ∩ B) and f(A) ∩ f(B):

A ∩ B = [-1, 1] ∩ [0, 2] = [0, 1]

f(A ∩ B) = {f(x): x ∈ [0, 1]} = {0, 1}

f(A) ∩ f(B) = {1, 0} ∩ {0, 1, 4} = {0, 1}

As we can see, f(A ∩ B) ≠ f(A) ∩ f(B) since {0, 1} ≠ {0, 1}.

(b) To show that f(A ∩ B) ⊆ f(A) ∩ f(B), we need to prove that every element in f(A ∩ B) is also an element in f(A) ∩ f(B).

Let y ∈ f(A ∩ B). This means that there exists x ∈ A ∩ B such that f(x) = y.

Since x ∈ A ∩ B, we have x ∈ A and x ∈ B.

Since x ∈ A, we know that f(x) ∈ f(A). Therefore, y = f(x) ∈ f(A).

Similarly, since x ∈ B, we know that f(x) ∈ f(B). Therefore, y = f(x) ∈ f(B).

Hence, y ∈ f(A) and y ∈ f(B), which implies that y ∈ f(A) ∩ f(B).

Therefore, we have shown that f(A ∩ B) ⊆ f(A) ∩ f(B).

(c) Conjecture: For any function f and subsets A, B ⊆ R, we have f(A ∪ B) = f(A) ∪ f(B).

To prove this conjecture, we need to show that every element in f(A ∪ B) is also an element in f(A) ∪ f(B), and every element in f(A) ∪ f(B) is also an element in f(A ∪ B).

Let y ∈ f(A ∪ B). This means that there exists x ∈ A ∪ B such that f(x) = y.

If x ∈ A, then f(x) ∈ f(A), and therefore y ∈ f(A) ∪ f(B).

If x ∈ B, then f(x) ∈ f(B), and therefore y ∈ f(A) ∪ f(B).

Hence, y ∈ f(A) ∪ f(B).

Conversely, let z ∈ f(A) ∪ f(B). This means that z ∈ f(A) or z ∈ f(B).

If z ∈ f(A), then there exists x₁ ∈ A such that f(x₁) = z. Since x₁ ∈ A ⊆ A ∪ B, we have z ∈ f(A ∪ B).

If z ∈ f(B), then there exists x₂ ∈ B such that f(x₂) = z. Since x₂ ∈ B ⊆ A ∪ B, we have z ∈ f(A ∪ B).

Hence, z ∈ f(A ∪ B).

Therefore, we have shown that every element in f(A ∪ B) is also an element in f(A) ∪ f(B), and vice versa.

Thus, our conjecture f(A ∪ B) = f(A) ∪ f(B) is true.

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Answer:

-6(a+8) simplified using distributive property would equal -6a+-120

Step-by-step explanation:

Answer:

d =3√5

Step-by-step explanation:

\((2,0) =(x_1,y_1)\\ (8, -3) =(x_2,y_2)\\\\d =\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}\\\\d=\sqrt{\left(8-2\right)^2+\left(-3-0\right)^2}\\\\d = \sqrt{(6)^2+(-3)^2}\\ \\d = \sqrt{36+9}\\ \\d = \sqrt{45} \\\\d = 3\sqrt{5}\)

Answer:

f(12) = 0

Step-by-step explanation:

f(x) = 1/4s - 3                        x = 12

f(12) = 1/4(12) - 3

f(12) = 3 - 3

f(12) = 0

Answer:

\( \tt \:f(x) = \dfrac{1}{4} \times x - 3\)

\( \tt \:f(x) = \dfrac{1}{4 } \times 12 - 3\)

\( \tt \:f(x) = 3 - 3\)

\( \tt \:f(x) = 0\)

Answer:

49x-44 is it.

Step-by-step explanation:

The difference between the actual value of the response variable and the corresponding predicted value(regression error) using the multiple regression model is the correct option.

A residual is a measurement of the vertical distance between a point and the regression line. It is just the discrepancy between an actual value observed and a value that was projected.

To ensure that the requirements for making conclusions about the coefficients in a linear model have been met, one should always perform a residual analysis.

In regression analysis, a residual is the discrepancy between an observed value and a predicted value.

It is determined by,

Residual = Observed value – Predicted value

The residual is the discrepancy between the expected value and the actual value.

Observed value minus predicted value equals residual.

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Answer:

it is 6

Step-by-step explanation:

Answer:

x=3y−1x=3y-1

x+2y=9x+2y=9

Replace all occurrences of xx with 3y−13y-1 in each equation.

Tap for fewer steps...

Replace all occurrences of xx in x+2y=9x+2y=9 with 3y−13y-1.

(3y−1)+2y=9(3y-1)+2y=9

x=3y−1x=3y-1

Add 3y3y and 2y2y.

5y−1=95y-1=9

x=3y−1x=3y-1

Solve for yy in the first equation.

Tap for fewer steps...

Move all terms not containing yy to the right side of the equation.

Tap for fewer steps...

Add 11 to both sides of the equation.

5y=9+15y=9+1

x=3y−1x=3y-1

Add 99 and 11.

5y=105y=10

x=3y−1x=3y-1

Divide each term by 55 and simplify.

Tap for fewer steps...

Divide each term in 5y=105y=10 by 55.

5y5=1055y5=105

x=3y−1x=3y-1

Cancel the common factor of 55.

Tap for fewer steps...

Cancel the common factor.

5y5=1055y5=105

x=3y−1x=3y-1

Divide yy by 11.

x=5,y=2

Step-by-step explanation:

please mark me as brainliest thank you

Small integral root of the characteristic equation by inspection; then factor by division5y^(3) - 4y" - 11y' - 2y =0. The solutions to the original equation are: y = -1/5 and y = -1.

To find a small integral root of the characteristic equation, we need to first write the equation in its characteristic form:

r^(3) - (4/5)r^(2) - (11/5)r - (2/5) = 0

Now, we can try plugging in small integers for r until we find a root that satisfies the equation. Trying r = 1, we get:

1^(3) - (4/5)(1)^(2) - (11/5)(1) - (2/5) = 0

This simplifies to:

-2/5 = 0

Since this is not true, we move on to the next integer. Trying r = -1, we get:

(-1)^(3) - (4/5)(-1)^(2) - (11/5)(-1) - (2/5) = 0

This simplifies to:

-2/5 = 0

Again, this is not true. We move on to r = 2:

2^(3) - (4/5)(2)^(2) - (11/5)(2) - (2/5) = 0

This simplifies to:

0 = 0

Since this is true, we have found a small integral root of the characteristic equation: r = 2.

Now, to factor the equation by division, we divide the original equation by (y-2), which gives us:

5y^(2) + 6y + 1 = 0

This can be factored into:

(5y + 1)(y + 1) = 0

Therefore, the solutions to the original equation are:

y = -1/5 and y = -1.

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Answer:

12

General Formulas and Concepts:

Pre-Algebra

Step-by-step explanation:

Step 1: Define 1st equation

16x - 2 = 30

Step 2: Solve for x

Step 3: Solve equation

And we have our final answer!

(a) ( x_{t+1}=\frac{1}{2} x_{t}+3 ), the solution to this difference equation is x_t = 2^t + 3, The difference equations in this problem are both linear difference equations with constant coefficients.

This can be found by solving the equation recursively. For example, the first few terms of the solution are

t | x_t

--- | ---

0 | 3

1 | 7

2 | 15

3 | 31

The general term of the solution can be found by noting that

x_{t+1} = \frac{1}{2} x_t + 3 = \frac{1}{2} (2^t + 3) + 3 = 2^t + 3

(b) ( x_{t+1}=-3 x_{t}+4 )

The solution to this difference equation is

x_t = 4 \cdot \left( \frac{1}{3} \right)^t + 4

This can be found by solving the equation recursively. For example, the first few terms of the solution are

t | x_t

--- | ---

0 | 4

1 | 5

2 | 2

3 | 1

The general term of the solution can be found by noting that

x_{t+1} = -3 x_t + 4 = -3 \left( 4 \cdot \left( \frac{1}{3} \right)^t + 4 \right) + 4 = 4 \cdot \left( \frac{1}{3} \right)^t + 4

The difference equations in this problem are both linear difference equations with constant coefficients. This means that they can be solved using a technique called back substitution.

Back substitution involves solving the equation recursively, starting with the last term and working backwards to the first term.

In the first problem, the equation can be solved recursively as follows:

x_{t+1} = \frac{1}{2} x_t + 3

x_t = \frac{1}{2} x_{t-1} + 3

x_{t-1} = \frac{1}{2} x_{t-2} + 3

...

x_0 = \frac{1}{2} x_{-1} + 3

The general term of the solution can be found by noting that

x_{t+1} = \frac{1}{2} x_t + 3 = \frac{1}{2} (2^t + 3) + 3 = 2^t + 3

The second problem can be solved recursively as follows:

x_{t+1} = -3 x_t + 4

x_t = -3 x_{t-1} + 4

x_{t-1} = -3 x_{t-2} + 4

...

x_0 = -3 x_{-1} + 4

The general term of the solution can be found by noting that

x_{t+1} = -3 x_t + 4 = -3 \left( 4 \cdot \left( \frac{1}{3} \right)^t + 4 \right) + 4 = 4 \cdot \left( \frac{1}{3} \right)^t + 4

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Given,Total = 44 + 41 = 85.The percentage of the 8th graders who estimated they spend less than an hour a day on social media can be found using the following steps:

Step 1: Determine the number of students who spend less than an hour a day on social media. From the table given, it is known that 26 of the 7th graders and 18 of the 8th graders spend less than an hour a day on social media. Therefore, the total number of students who spend less than an hour a day on social media = 26 + 18 = 44.

Step 2: Calculate the percentage of 8th graders who spend less than an hour a day on social media. The number of 8th graders who spend less than an hour a day on social media is 18.Therefore, the percentage of 8th graders who spend less than an hour a day on social media = (18/85) × 100% ≈ 21.2%.Therefore, the percent of the 8th graders estimated they spend less than an hour a day on social media is 21.2%, rounded to the nearest tenth of a percent.

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Answer:

oh sorry about my comment the answer is 5400

Step-by-step explanation:

If the pressure is decreased to 5 pounds per square inch, the volume of the gas will be 680 cubic inches.

If the volume of a gas varies inversely as the pressure on the gas, we can use the formula:

Volume 1 * Pressure 1 = Volume 2 * Pressure 2

Let's denote the initial volume as V1 (340 cubic inches) and the initial pressure as P1 (10 pounds per square inch). We want to find the new volume, V2, when the pressure is decreased to P2 (5 pounds per square inch).

Putting the values into the formula, we have:

V1 * P1 = V2 * P2

340 * 10 = V2 * 5

3400 = V2 * 5

Dividing both sides of the equation by 5:

V2 = 3400 / 5

V2 = 680 cubic inches

Therefore, if the pressure is decreased to 5 pounds per square inch, the volume of the gas will be 680 cubic inches.

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The equation for situation 1 is y = 3.5x

The equation for situation 2 is y = 3x

The equation for situation 3 is y = (5/2)x

The equation for situation 4 is  (1/2)x = y

The constant of proportionality is the ratio that relates two given values in what is known as a proportional relationship. It is also known as unit rate and it is usually expressed by k. That is k = y/x

Situation1

A dump truck is hauling loads of dirt to a construction site. After 20 loads, there are 70 square feet of dirt.

k = y/x = 70/20 = 3.5

For every 70 square feet of dirt, there are 2 loads.

y = kx

y = 3.5x

Situation 2

I am making a water and salt mixture that has 2 cups of salt for every 6 cups.

k = 6/2 = 3

This means in every 3 cups there is 1 cup of salt

y = 3x

Situation 3

A store has a "4 for $10" sale on hats.

k = 10/4 = 5/2

This means $5 for 2 hats.

y = (5/2)x

Situation 4

For every 48 cookies I bake, my students get 24.

k = 24/48 = 1/2

This means 1 student gets 2 cookies

y = (1/2)x or (1/2)x = y

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Answer:

m=20

Step-by-step explanation:

Answer:

Step-by-step explanation:

Coco

My fav movie?

Space Jam 2

Prob since I’ma basketball fan :)))

Answer:

In a triangle LMN, the measure of angle M is 15

Step-by-step explanation:

The value of c, if In triangle LMN, m ∠ L = (2c + 51)°. If the exterior angle to ∠ L measures 83° is 23, so option B is correct.

Triangles are basic three-sided polygons with three internal angles. It is one of the basic geometric shapes, symbolized by the symbol, and has three vertex connections.

Given data:

m ∠ L = (2c + 51)°,

∠ L = 83°

Calculate the remaining measure of the angle,

S = 180 - 83

S = 97°

Calculate the value of c as shown below,

97° = 2c + 51

2c = 97 - 51

c = 46 / 2

c = 23

Therefore, the value of c, if In triangle LMN, m ∠ L = (2c + 51)°. If the exterior angle to ∠ L measures 83° is 23.

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