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To find the height of the building, we need to use trigonometry. Let's call the height of the building "h" and the distance from point a to the building "x". From point a, the angle of elevation to the top of the building is given. Let's call this angle "θ".

Using trigonometry, we can write:

tan(θ) = h/x

We can rearrange this equation to solve for h:

h = x * tan(θ)

Now let's move to point b. We know that it is ft closer to the building than point a, so the distance from point b to the building is (x - ft). We also know the angle of elevation from point b, which we'll call "α".

Using the same equation as before, but with the new values, we get:

h = (x - ft) * tan(α)

Now we can set these two expressions for h equal to each other:

x * tan(θ) = (x - ft) * tan(α)

We can solve this equation for h:

h = x(tan(θ) - tan(α)) / (1 - tan(θ)tan(α))

This gives us the height of the building. We just need to plug in the values we were given for x, ft, θ, and α.

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The weight distribution of newborn African lions may not necessarily follow a normal distribution, and the actual percentages can vary based on the specific data available.

To determine the percentage of newborn African lions that weigh less than 3 pounds and the percentage that weigh more than 3.8 pounds, we would need statistical data on the weight distribution of newborn African lions. Since we don't have that information, we cannot provide the exact percentages.

However, if we assume that the weights of newborn African lions follow a normal distribution, we can use the properties of the standard normal distribution to make an estimation.

For the percentage of newborn African lions weighing less than 3 pounds:

We would need to know the mean and standard deviation of the weight distribution to calculate the Z-score for a weight of 3 pounds and then find the corresponding percentage using a standard normal distribution table. Without this information, we cannot provide an accurate estimation.

For the percentage of newborn African lions weighing more than 3.8 pounds:

Similarly, we would need the mean and standard deviation of the weight distribution to calculate the Z-score for a weight of 3.8 pounds and find the corresponding percentage using a standard normal distribution table. Without the required information, we cannot provide a specific estimation.

Please note that the weight distribution of newborn African lions may not necessarily follow a normal distribution, and the actual percentages can vary based on the specific data available.

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Answer:

yes because it is odd

Step-by-step explanation:

Answer:

7 is a rational number. Rational numbers are numbers that result when two integers are divided. For example, two integers whose quotient is equal to 7 are 14 and 2. When you divide 14 by 2, the result is 7, and this validates 7 as a rational number.

Answer: 10

Step-by-step explanation:

The underlying function f(x - i) that generates the observed points f'(x - i) in the plot can be determined by integrating the observed points. By integrating f'(x - i), we can obtain f(x - i) up to a constant of integration.

The constant of integration can be determined by incorporating additional information or constraints related to the problem or by considering the behavior of the function at a specific point.

To find the underlying function f(x - i) that generates the observed points f'(x - i), we need to integrate the observed points.

Integration is the reverse process of differentiation, so by integrating f'(x - i), we can recover f(x - i) up to a constant of integration.

The constant of integration arises because integration does not provide a unique solution.

The constant represents an arbitrary additive term that can vary depending on the specific problem or additional constraints.

To determine the constant of integration, we may need additional information or consider specific conditions related to the problem.

It is also important to note that the accuracy of estimating the underlying function f(x - i) depends on the quality and quantity of the observed data points f'(x - i). More data points and precise measurements can lead to a better estimation of the underlying function.

Additionally, the behavior of the function at a specific point can provide valuable insights for determining the constant of integration and refining the estimation of the underlying function.

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The perimeter of the pond is 28.21 feet.

The perimeter of a semi-circle pond having a diameter of 11 feet should be calculated as follows: The perimeter of a semi-circle is equal to the sum of its straight and curved sides.

The diameter of the pond is 11 feet, so the radius of the pond is half that, or:

11/2 = 5.5 feet

The length of the curved side of the pond is half the circumference of a circle having a diameter of 11 feet, or:

πd/2 = 3.14 × 11/2 = 17.21 feet

The length of the straight side of the pond is equal to the diameter, or: 11 feet

The perimeter of the pond is the sum of these two values: 17.21 + 11 = 28.21 feet

Therefore, the perimeter of the pond is 28.21 feet, rounded to the nearest hundredth.

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Step-by-step explanation:

90007

this is your answer

hope it is helpful to you

Answer:

90007

Step-by-step explanation:

the power of the calculator

The mean of the distribution that follows the uniform probability distribution is 29.5 minutes.

The mean is the average or the most common value in a data set of numbers.

Since the distribution follows the uniform probability distribution, which is a type of probability distribution that gives all outcomes equal chances, it implies that the set of 18 values between 21 and 38 can result in a total value of 531 minutes.

The total value between 21 and 38 minutes = 531 minutes

The total number of values = 18

The average or mean = 29.5 (531/18)

Thus, the mean of the distribution that follows the uniform probability distribution is 29.5 minutes.

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Answer: There u go

Step-by-step explanation:

Answer:

2950

Step-by-step explanation:

the answer is 2950 the reason why is if u solve the given problem this is what you get

Answer:

250+45=325 x 10=3250

Step-by-step explanation:

The point-slope form equation y - 2 = -3/4(x - 6) has been plotted in the graph shown in the image attached below.

In Mathematics, the point-slope form simply refers to a standard equation which can only be used when the slope of a straight line and one of the points on this line are known.

Mathematically, the point-slope form of a straight line is represented by this equation:

y - y₁ = m(x - x₁)

Where:

The point-slope form equation is given as follows:

y - 2 = -3/4(x - 6)

From the information above, we can logically deduce the following parameters:

Point at y = 2.

Point at x = 6.

Slope, m = -3/4

For this exercise, you should input the x-value, y-value, and slope (m) into your point-slope form graph as shown in the image attached below.

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G=45.89 gallons 46 gallons.

I hope this answers your question!

:)

Sonya walks approximately 10.24 city blocks to get from her house to the dog park.

What is coordinate geometry?

Coordinate geometry is a branch of mathematics that deals with the study of geometric shapes and figures using the coordinate system. It is also known as analytic geometry or Cartesian geometry.

To find the distance between two points in the coordinate plane, we can use the distance formula:

d = √((x2 - x1)² + (y2 - y1)²)

Using this formula, we can find the distance between Sonya's house and the stop sign:

d1 = √((-2 - (-2))² + (1 - 6)²) = √(5² + (-5)²) = √(50) = 5√(2)

We can then find the distance between the stop sign and the dog park:

d2 = √((1 - (-2))² + (1 - 1)²) = √(3²) = 3

Finally, we can add the two distances together to find the total distance Sonya walks:

d_total = d1 + d2 = 5√(2) + 3 ≈ 10.24

Therefore, Sonya walks approximately 10.24 city blocks to get from her house to the dog park.

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Answer: 900

Step-by-step explanation:

0.15(x+500)=210

1400=x+500

x=900

They would meet 30 times after 10 minutes.

Since Nick and Sally run on the 100m straight track, Nicks's speed is 3m / s, Sally's speed is 2m / s, if they star from two sides of the track, running towards each other continuously, to determine how many times they would meet each other after 10 minutes the following calculation must be performed:

Therefore, they would meet 30 times after 10 minutes.

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Answer:

$17.04

Step-by-step explanation:

After a stock split, the number of shares a shareholder owns is increased, while the value of each share is decreased. In this case, Lea's shares were increased by a factor of 5/2 = 2.5 times. Therefore, Lea's number of shares after the split was 800 * 2.5 = 2000 shares.

The value of each share after the split is decreased by a factor of 2/5 = 0.4 times. Therefore, the post-split price per share was $42.60 * 0.4 = $17.04.

Therefore, after the stock split, Lea had 2000 shares worth $17.04 each.

True

In a symmetrically shaped distribution of scores, regardless of whether it has one mode or two modes, the mean value tends to be similar to the median value.

When a distribution is symmetric, it means that the data is evenly distributed around the central point, resulting in a bell-shaped curve. In such cases, the mean, median, and mode are typically close to each other.

The mean is the arithmetic average of all the scores in a distribution, while the median represents the middle value when the scores are arranged in ascending or descending order. In a symmetric distribution, the mean and median are located at the exact center of the distribution.

If the distribution has only one mode, it means that there is one prominent peak or high point in the data. In this case, the mean and median will coincide with the mode and will be similar.

If the distribution has two modes, it means that there are two prominent peaks in the data, but they are symmetrical around the center. Even though there are multiple modes, the mean and median will still be similar and tend to be located between the two modes.

In summary, in symmetrically shaped distributions, regardless of the presence of one or two modes, the mean and median values are expected to be close to each other.

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The probability that the team will experience a pulled hamstring muscle between the 15th and 25th minute of the game is 0.0196. 

We know that the normal time between pulled hamstring muscles is 342 minutes. Subsequently, the rate parameter λ for the exponential dissemination is:

λ = 1/342

(a) To discover the likelihood that the group will drag a hamstring muscle within the next amusement, we got to discover the likelihood that a pulled hamstring muscle happens within 90 minutes.

Let X be the time (in minutes) until the following pulled hamstring muscle. At that point, X takes after an exponential dispersion with rate parameter λ = 1/342.

P(X < 90) = 1 - \(e^\)(-λ * 90) = 1 - \(e^\)(-90/342) ≈ 0.2638

Subsequently, the likelihood that the group will drag a hamstring muscle within another amusement is roughly 0.2638.

(b) To discover the likelihood that the team will involve a pulled hamstring muscle between the 15th and 25th miniature of the diversion, we got to discover the likelihood that a pulled hamstring muscle happens between 15 and 25 minutes.

Let Y be the time (in minutes) until the another pulled hamstring muscle.

P(15 < Y < 25) = \(e^\)(-λ * 15) - \(e^\)(-λ * 25) =\(e^\)(-15/342) - \(e^\)(-25/342) ≈ 0.0196

In this manner, the likelihood that the group will involve a pulled hamstring muscle between the 15th and 25th diminutive of the amusement is roughly 0.0196. 

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In a sample of 26 days from the desert, the average of the high daily temperature is 114 degrees F, and the sample standard deviation is 5 degrees F.

To determine the 90% confidence interval for the average temperature, we can use the t-distribution as follows:To find the critical value of t, we can use the t-table. Since our sample has n = 26, the degrees of freedom (df) are n - 1 = 25. At a confidence level of 90%, with 25 degrees of freedom, the critical t-value is 1.708.The standard error of the mean is calculated as s / sqrt(n), where s is the sample standard deviation and n is the sample size. Therefore, the 90% confidence interval for the average temperature is (114 - 1.67, 114 + 1.67), or (112.33, 115.67) degrees F.

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Answer:

(-4,9)

Step-by-step explanation:

substitute the given value for y into the first equation

x-5(-2x+1)=-49

distribute

x+10x-5=-49

add like terms

11x-5=-49

add 5 to both sides

11x=-44

divide both sides by 11

x=-4

now plug x into into the second equation

y=-2(-4)+1

y=8+1

add like terms

y=9

The vector field F(x, y) = ⟨3x^2y^2 + e^x, 2x^3y⟩ is conservative. The line integral ∫ CF⋅dr evaluates to 0.

To show that the vector field F(x, y) is conservative, we need to verify that its curl is zero. Compute the curl of F(x, y) as follows:

∇ × F = (∂F₂/∂x - ∂F₁/∂y) i + (∂F₁/∂x - ∂F₂/∂y) j

Evaluating the partial derivatives and simplifying, we find:

∇ × F = (6xy^2 - 6xy^2) i + (6x^2y - 6x^2y) j = 0

Since the curl of F is zero, F is a conservative vector field.

Next, to evaluate the line integral ∫ CF⋅dr, we substitute the parametrization r(t) = ⟨sin(2πt)e^t, cos(2πt) - t⟩, 0 ≤ t ≤ 1, into F⋅dr. We obtain:

F⋅dr = (3(sin^2(2πt))e^t + e^(sin(2πt)e^t)) d(sin(2πt)e^t) + 2(sin^3(2πt))(cos(2πt) - t) d(cos(2πt) - t)

Integrating this expression with respect to t over the interval [0, 1] will yield the value of the line integral. However, due to the complexity of the integrals involved, it may not be feasible to find the exact value without numerical approximation.

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The bottleneck time is 10, as this is the longest time for any station in the assembly line.

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The probability that he/she has Internet service given that he/she had already television service is 62.5%.

We need to find the probability that a resident has at least one of the two services and the probability that a resident has Internet service given they already have television service.

(1) To find the probability of a resident having at least one of these two services, we can use the formula                     P(A ∪ B) = P(A) + P(B) - P(A ∩ B), where A represents Internet service and B represents television service.

P(A) = 0.60 (60% have Internet service)
P(B) = 0.80 (80% have television service)
P(A ∩ B) = 0.50 (50% have both services)

P(A ∪ B) = 0.60 + 0.80 - 0.50 = 0.90 (90%)

Therefore, the probability that a resident has at least one of the two services is 90%.

(2) To find the probability of a resident having Internet service given they have television service, we can use the formula P(A | B) = P(A ∩ B) / P(B).

P(A | B) = P(A ∩ B) / P(B) = 0.50 / 0.80 = 0.625 (62.5%)

So, the probability that a resident has Internet service given they already have television service is 62.5%.

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Answer:

0.00007km

Step-by-step explanation

7x10^-5=0.00007km

look up a video-How to work out negative powers.

In the given situations, multiple regression can be performed for predicting the number of points a football team scores in a game, predicting the amount of coffee an employee drinks per day, predicting the number of speeding tickets per day on a section of highway, and predicting the sale price of a new house.

Multiple regression can be performed in the following situations:

Multiple regression is a statistical method that allows us to analyze the relationship between two or more independent variables and a single dependent variable. It is useful in situations where we want to predict a numerical value (the dependent variable) based on several predictor variables (the independent variables). It can be used to analyze the impact of several variables on a single output or dependent variable.

In the given situations, multiple regression can be performed for predicting the number of points a football team scores in a game, predicting the amount of coffee an employee drinks per day, predicting the number of speeding tickets per day on a section of highway, and predicting the sale price of a new house.

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Based on the definition of congruent triangles, we can state that: C. They are not congruent because only one pair of corresponding sides is congruent.

Congruent triangles refer to a pair of triangles that possess identical shape and size. If two triangles are congruent, it implies that their corresponding sides and angles are precisely equal.

The image that is attached below shows the diagram of triangles FGH and FJH. We see that only one pair of sides are congruent (FH = FH).

This is not enough to conclude that both triangles are congruent. Therefore, we can conclude that:

C. They are not congruent because only one pair of corresponding sides is congruent.

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