How many solutions does a pair of equations y =- 3 and y 0 has?

Answer:

24.2 feet.

Step-by-step explanation:

pythagorean theorem will solve this so A^2 + B^2=C^2

we have a and c so you do c -a and square root it to get your answer

The height of the building is approximately 24.19 feet.

The Pythagoras theorem which is also referred to as the Pythagorean theorem explains the relationship between the three sides of a right-angled triangle. According to the Pythagoras theorem, the square of the hypotenuse is equal to the sum of the squares of the other two sides of a triangle.

Given that, place a 29-foot ladder against the top of a building and the bottom of the ladder is 16 feet from the bottom of the building.

So, hypotenuse of the triangle is 29 feet and base of the triangle is 16 feet.

Let h be the height of the building.

Now, 29²=16²+h²

841=256+h²

h²=841-256

h²=585

h=24.19 feet

Therefore, the height of the building is approximately 24.19 feet.

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The standard deviation of the sample proportions (i.e., the standard error of the proportion) is 10.5.

The sample proportion is a random variable that can't be predicted with certainty because it fluctuates from sample to sample.

n = 525

Population Proportion(p) = 0.3

q = 1 - 0.3

q = 0.7

σ = √npq

σ = √(525 × 0.3 × 0.7)

σ = √110.25

σ = 10.5

So The standard deviation of the sample proportions = σ/n

The standard deviation of the sample proportions = 10.5/525

The standard deviation of the sample proportions = 0.02

The standard deviation of the sample proportions = 2%

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The complete question is:

Random samples of size 525 are taken from an infinite population whose population proportion is 0.3. The standard deviation of the sample proportions (i.e., the standard error of the proportion) is

a.0.0004

b.0.2100

c.0.3000

d.0.0200

Answer:

line A is steeper.

Line A´s slope is 1, while line d´s slope is 2/5

The function f(x) = \(\sqrt{x}\) is translated using the rule (x, y) → (x – 6, y+ 9) to create a(x), then the expression that describes the range of a(x) is y > 9. So, the correct answer is fourth option.

When the function f(x) = \(\sqrt{x}\)  is translated by shifting the original function horizontally by a constant value (x - 6) and vertically by a constant value (y + 9), the range of the function remains the same. The vertical shift of +9 units does not affect the range of the function.

Therefore, the range of the translated function a(x) is the same as the original function f(x), which can be expressed as y > 9, indicating that the y-values are greater than 9. So, fourth option is the correct answer.

The question should be:

The function f(x) = \(\sqrt{x}\) is translated using the rule (x, y) → (x – 6, y+ 9) to create a(x). which expression describes the range of a(x)? y > –9 y > –6 y > 6 y > 9

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Answer:

  0.7112 dam

Step-by-step explanation:

You want to convert 280 in to units of dam.

The conversion factors will multiply by units we want and divide by units we don't want. Each conversion factor will have a value of 1, which is to say it will change the units without changing the measure.

  \(280\text{ in}=280\text{ in}\times\dfrac{0.00254\text{ dam}}{1\text{ in}}=\boxed{0.7112\text{ dam}}\)

__

Additional comment

The conversions we are more familiar with are 2.54 cm = 1 in, and 10 m = 1 dam (decameter).

1 dam² = 1 are, a unit of area = 100 m². The more familiar unit is 1 hectare, or 100 are, about 2.471 acres. This is all to say that a "dam" is not a unit seen very often.

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The probability of a core of the two odd number be 1/4.

A probability is a number that expresses the possibility or likelihood that a specific event will take place. Probabilities can be stated as proportions with a range of 0 to 1, or as percentages with a range of 0% to 100%.

The outcome of one die has no bearing on the outcome of the other since the two dice are independent.

In this instance, a complex event's probability is calculated by adding its component simple event probabilities.

Three odd and three even results occur from each roll of the dice. So, the probability of getting an odd number exists \($\frac{3}{6}=\frac{1}{2}$\)

The probability that this happens with both dice exists \($\frac{1}{2} \cdot \frac{1}{2}=\frac{1}{4}$\)

It is relatively simple to list the "excellent" possibilities in this situation because there are a total of 36 outcomes (all numbers from 1 to 6 for one die and the same for the other die). The positive results are

(1, 1), (1, 3), (1, 5)

(3, 1), (3, 3), (3, 5)

(5, 1), (5, 3), (5, 5)

And in fact, 9 good outcomes over 36 total outcomes means

\($\frac{9}{36}=\frac{1}{4}$$\)

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Solution :

Given data :

The mean length of the steel rod = 29 centimeter (cm)

The standard deviation of a normally distributed lengths of rods = 0.07 centimeter (cm)

a). We are required to find the proportion of rod that have a length of less than 28.9 centimeter (cm).

Therefore, P(x < 28.9) = P(z < (28.9-29) / 0.07)

                                    = P(z < -1.42)

                                   = 0.0778

b). Any rods which is shorter than \(24.84\) cm or longer than \(25.16\) cm that re discarded.

Therefore,

P (x < 24.84 or 25.16 < x) = P( -59.42 < z or -54.85)

                                         = 1.052

The output of the accumulator for the input sequence x(n) = nu(n), with the initial condition y(0) = 0, is given by:

y(n) = 1/2n(n+1) for n >= 0

The accumulator is a simple digital signal processing (DSP) system that takes an input sequence and accumulates it over time. The formula for the accumulator described by (2.2.30) is:

y(n) = y(n-1) + x(n)

where y(n) is the output of the accumulator at time n, y(n-1) is the output of the accumulator at the previous time step, and x(n) is the input sequence at time n.

In this case, the input sequence x(n) is given by x(n) = nu(n), where n is an integer and u(n) is the unit step function defined as:

u(n) = {

1, n >= 0

0, n < 0

}

Substituting x(n) into the accumulator formula, we get:

y(n) = y(n-1) + x(n)

y(n) = y(n-1) + n*u(n)

We can calculate the output of the accumulator for different values of n using this formula. However, the output will depend on the initial value of the accumulator, y(0). Without knowing this initial value, we cannot determine the output for all values of n. Therefore, we will assume that the initial value of the accumulator is zero, y(0) = 0.

Using this assumption, we can calculate the output of the accumulator for the first few values of n:

For n = 0:

y(0) = 0

For n = 1:

y(1) = y(0) + 1u(1) = 0 + 11 = 1

For n = 2:

y(2) = y(1) + 2u(2) = 1 + 21 = 3

For n = 3:

y(3) = y(2) + 3u(3) = 3 + 31 = 6

For n = 4:

y(4) = y(3) + 4u(4) = 6 + 41 = 10

And so on.

Therefore, the output of the accumulator for the input sequence x(n) = nu(n), with the initial condition y(0) = 0, is given by:

y(n) = 1/2n(n+1) for n >= 0.

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Answer:b

Step-by-step explanation:cause i did that test yesterday

\(\measuredangle A\cong \measuredangle E\implies 112=16x\implies \cfrac{112}{16}=x\implies \boxed{7=x} \\\\[-0.35em] ~\dotfill\\\\ \overline{MS}\cong \overline{NR}\implies 41=3x+5y\implies 41=3(7)+5y\implies 41=21+5y \\\\\\ 20=5y\implies \cfrac{20}{5}=y\implies \boxed{4=y}\)

a. The mean values for each group are as follows:

  Poor: Mean = (4 + 5 + 8 + 6 + 7 + 6) / 6 = 6.0 feet per second

  Average: Mean = (7 + 8 + 9 + 6 + 7 + 10) / 6 = 7.833 feet per second

  Good: Mean = (10 + 13 + 12 + 8 + 11 + 12) / 6 = 11.0 feet per second

b. The sum of squares values are calculated by finding the squared deviations from the group means and summing them up. These values are used in further calculations.

c. Degrees of freedom (df) can be calculated as the number of groups minus one. Mean square values (MS) are obtained by dividing the sum of squares (SS) by the degrees of freedom.

d. To calculate the F value, we need to perform an analysis of variance (ANOVA) on the data. The F value is the ratio of the between-group mean square to the within-group mean square. The significance of the F value can be determined using the F-distribution table or statistical software.

e. A mean difference table can be constructed by comparing the mean values of each group.

f. Scheffé's I can be applied to test for significant differences between group means.

g. Tukey's HSD test can also be applied to identify significant differences between group means.

h. Tukey's HSD and Scheffé's I may differ in their interpretation of the mean difference table, as they have different criteria for determining significance.

i. The size of the effect can be determined by calculating the effect size, such as eta-squared (η²), which represents the proportion of variance explained by the independent variable. The interpretation of effect size as small, moderate, or large may vary depending on the field of study and context.

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Explanation:

A relation is a function if and only if for each value of x there's only one value of y. In other words, if we find one value of x more than once, the relation is not a function.

Relation A is not a function because x = 2 shows up twice: (2, 5) and (2, 7)

Relation C is not a function because x = 1 shows up three times: (1, 3), (1, 5) and (1, 7)

Relation E is not a function because x = 2 shows up twice: (2, 5) and (2, 1)

Relations B and D have only one time each value of x

Answers:

Yes , the integer k is divisible by 4 and statement (1) alone is sufficient to determine that k is divisible by 4.

Given data ,

Let the equation be represented as A

Now , the value of A is

a)

To determine if the integer k is divisible by 4, let's analyze the given statements:

Statement (1): 8k is divisible by 16.

This means that 8k is a multiple of 16. Since 16 is divisible by 4, we can conclude that k must be divisible by 4 as well. Therefore, statement (1) alone is sufficient to determine that k is divisible by 4.

8k = 16

k = 2

b)

This statement does not provide direct information about the divisibility of k by 4. While 12 is divisible by 4, the fact that 9k is divisible by 12 does not guarantee that k itself is divisible by 4.

9k = 12

k = 12/9

k = 4/3

So , it is not an integer

In conclusion, statement (1) alone is sufficient to determine that k is divisible by 4. Statement (2) is not sufficient on its own.

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Explanation

Step 1

let x represents the year

let y represents the hours of electricity generated ( in millons)

then, we have two coordinates of the function

Prior to placing an order to buy ABCD stock at a lower price, the investment adviser must conduct thorough research and analysis, set a target price, and determine an appropriate entry point for the purchase.

The investment adviser's primary responsibility is to act in the best interest of their client and make informed investment decisions. In this case, where the adviser believes ABCD stock is appropriate only if the price falls to $35 per share, several steps need to be taken before placing an order.

Firstly, the adviser should conduct comprehensive research on ABCD stock to understand its historical performance, financial health, industry trends, and any relevant news or events that might impact its future prospects. This research will help validate the adviser's belief that the stock is worth considering at a lower price.

Secondly, the adviser should establish a target price of $35 per share based on their analysis and the client's investment objectives. This target price serves as a reference point and provides a clear criterion for initiating the purchase.

Lastly, the adviser needs to identify an appropriate entry point for the purchase. This involves monitoring the stock's price movements and market conditions closely. The adviser may choose to set a limit order at $35 per share or implement a strategy to take advantage of potential price declines, such as dollar-cost averaging.

By following these steps, the investment adviser ensures that they have thoroughly evaluated the investment opportunity and have a plan in place before placing an order to buy ABCD stock for the client's account.

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When introducing a data visualization to your audience, it is important to explain the context and the purpose of the visualization.

This will help your audience understand the visualization and its implications better. Additionally, you should quickly describe each graph and define each parameter to make sure that your audience is familiar with the data they are seeing. Finally, you should give your audience a few moments to process the information before you move on. This will help ensure that they can fully understand and appreciate the visualization.

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Answer:

z =86

Step-by-step explanation:

The exterior angle of a triangle is the sum of the opposite interior angles

z + z-39 = z+47

2z-39 = z+47

Subtract z from each side

z-39 = 47

Add 39 from each side

z = 47+39

z =86

The given information is,

To find the required value of z.

Property we use,

The exterior angle of a triangle is the sum of the opposite interior angles.

Now we can get the value of z,

→ z + z-39 = z + 47

→ 2z-39 = z + 47

→ 2z -z = 47 + 39

→ z = 47 + 39

→ [z = 86]

Thus, the required value of z is 86.

The standard form of the equation of the hyperbola with foci at (±5, 0) and asymptotes y = ±4/3x is (x^2 / 9) - (y^2 / 16) = 1.

To find the standard form of the equation of a hyperbola, we need to determine the distances and slopes associated with its foci and asymptotes.

The foci of the hyperbola are given as (±5, 0). The distance between the center (origin) and each focus is denoted by c. In this case, c = 5.

The asymptotes of the hyperbola are represented by the equations y = ±(a / b)x, where a and b are the lengths of the transverse and conjugate axes, respectively. The slopes of the asymptotes are given as ±4/3.

From the given information, we can determine the values of a and b. The distance between the center and each vertex is a, and since the transverse axis is horizontal, a = 5.

Using the relationship a^2 + b^2 = c^2, we can find b: (5^2) + b^2 = (5^2) + (4/3)^2. Solving this equation gives b = 4.

Finally, we can write the standard form of the equation of the hyperbola as (x^2 / a^2) - (y^2 / b^2) = 1. Substituting the values of a and b, we obtain (x^2 / 9) - (y^2 / 16) = 1.

Therefore, the standard form of the equation of the hyperbola is (x^2 / 9) - (y^2 / 16) = 1.

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S is bounded since we have found real numbers a and b such that for all s in S, a ≤ s ≤ b. Therefore, we have proven that S is bounded if and only if there exists a closed bounded interval I such that S ⊆ I.

First, let's define what it means for a set to be bounded. A set S is bounded if there exist real numbers M and m such that for all s in S, m ≤ s ≤ M.

Now, let's prove the statement "S is bounded if and only if there exists a closed bounded interval I such that S ⊆ I."

Forward direction: Assume that S is bounded. Then, by definition, there exist real numbers M and m such that for all s in S, m ≤ s ≤ M. Let I = [m, M]. I is a closed bounded interval since it contains its endpoints and is closed. Furthermore, since for all s in S, m ≤ s ≤ M, it follows that S is a subset of I. Therefore, S is bounded and there exists a closed bounded interval I such that S ⊆ I.

Backward direction: Assume that there exists a closed bounded interval I such that S ⊆ I. Let a and b be the endpoints of I. Then, for all s in S, a ≤ s ≤ b. Therefore, S is bounded since we have found real numbers a and b such that for all s in S, a ≤ s ≤ b.

Therefore, we have proven that S is bounded if and only if there exists a closed bounded interval I such that S ⊆ I.

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Answer:

The second one the amount of monthly sales

Step-by-step explanation:

The 2000 is the total

Answer:

64.5 m

Step-by-step explanation:

1)  Find the width:  A = L*W, and so W = A / L  =  (256.5 m²) / (18 m) = 14.25 m.

2)  Find the perimeter, using the formula P = 2L + 2W:

Here P = 2(14.25 m) + 2( 18 m) = 64.5 m

B) Dilation and rotation is the sequence of transformations would result in a figure that is similar but not congruent to the original figure

What is Dilation and Rotation transformation?

Rotations, reflections and translations are known as rigid transformations; this means they do not change the size or shape of a figure, they simply move it. These rigid transformations preserve congruence.

Dilation, however, are not rigid transformations, since they change the size of a shape. Dilation would not change the shape, just the size; the angle measures would be the same, and the ratio of corresponding sides would be equal to the scale factor used in the dilation. This would give us a similar, but not congruent, figure.

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Answer:

$17.95

Step-by-step explanation:

could be wrong but add the store credit to the amount she had to pay and then divide it by the amount of shirts bought, 4. also some expensive asz shirts.

Based on the ratings system and the summarize() and mean() functions, the code chunk to add is summarize(mean(Rating)) and the mean rating is 3.185933.

To find the mean rating, the complete code should be trimmed_flavors_df %>% summarize(mean(Rating)).

This code would allow you to see the mean rating of your data by combining the summarize() and mean() functions such that you can display summary statistics.

Because of the "mean()" function, the statistic that will be displayed is the mean rating which in this case would be 3.185933.

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Hello there. To solve this question, we have to remember some properties about angles.

Given the following diagram:

We know that:

And the image shows that

We want to determine the measure of

That is, the following angle in blue:

For this, notice that

Therefore we found an equation that can give us the answer.

Plugging the values, we have that

Subtract 78º on both sides of the equation.

This is the measure in degrees that we're looking for.

The value of SSE (sum squared error) is 40 in the given analysis of the variance problem if SST = 120 and SSR = 80. Option b is correct.

Here the words SSE means Sum Squared Error, SST means Sum of Squares Total and SSR means Sum of Square Regression.

In the SSE accuracy measure, errors are squared and then added. It is used when the data points are similar in magnitude.

The formula is SST = SSR + SSE ⇒ SSE = SST - SSR

The given values of the analysis of the variance problem are

SST = 120; SSR = 80

Then, the value of SSE = SST - SSR = 120 - 80 = 40

So, option b is correct.

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