From the observation deck of a skyscraper, Bentley measures a 48^{\circ}
∘
angle of depression to a ship in the harbor below. If the observation deck is 969 feet high, what is the horizontal distance from the base of the skyscraper out to the ship

Answer:

B

Step-by-step explanation:

Here is the complete question :

Benjamin is selecting embellishments for a child’s dresser. There are 9 wooden embellishments, 5 ceramic embellishments, and 8 metal embellishments to choose from, shown in the table below. He picks a wooden embellishment, a ceramic embellishment, and a metal embellishment. What is the probability that he picks one of the clouds, one of the dogs, and one of the stars?

Wooden Embellishments Ceramic Embellishments Metal Embellishments

2 hearts 2 cats 3 stars

3 clouds 3 dogs 5 squares

4 birds

A.1/27

B. 3/40

C. 1/9

D.3/8

The value of your declining channel in 2016, given the depreciation rate, would be $ 40. 99

The value of the channel can be found by the formula :

= Original value of the channel x ( 1 - rate of depreciation ) ^ number of years

Rate of depreciation = 13 %

Number of years :

= 2016 - 2002

= 14 years

The value of the channel is therefore:

= 288 x ( 1 - 13 %) ¹⁴

= $ 40. 99

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Answer:

106

Explanation:

106+181=287

=======================================================

Work Shown:

2.25% = 2.25/100 = 0.0225

2.25% of 56 dollars = 0.0225*56 = 1.26

The amount of sales tax is $1.26

Side note: The total bill is 56 + 1.26 = 57.26 dollars.

Answer:

$1.26

Step-by-step explanation:

So you just have to find 2.25% of 56.

To find a certain percentage of something, you multiply it. Let's write out a sentence explaining what you need to do. You have to find:

2.25% of 56

Whenever you've got a sentence like this, all you've got to do is change the word "of" to a multiplication symbol. And now you've got an expression:

2.25% × 56

Let's convert the percentage to a decimal. To do this, you simply remove the percent symbol, then move the decimal point 2 places to the left.

2.25% = 0.0225

And now you have:

0.0225 × 56

Then you just do the math! I am assuming you already know how to do decimal multiplication so I'm not going to explain the process here.

But once you multiply 0.0225 × 56, you get an answer: 1.26

Hope this was helpful to you, and don't forget to choose the Brainliest answer!

No Solution: Thin eyelashes

1) Evaluating this system

3.6x +8 =0

12x +4 =0

3.6x +8=0

x= -20/9 Isolating the x

12(-20/9) +4 = 0 Plugging in the second equation

-68/3 =0

Then we can conclude, There's no solution, that satisfies both equations in this system. The system has no solution for -68/3 can't be equal to zero and x can't be -20/9 on the first equation simultaneously.

The probability density function is defined as the derivative of the cumulative distribution function. It represents the relative likelihood of a continuous random variable taking on a specific value. The total area under the probability density curve is always equal to 1.

For a continuous random variable X, the probability density function f(x) satisfies the following properties:

1. Non-negativity: f(x) ≥ 0 for all x.

2. Integrates to 1: The integral of the probability density function over the entire range of X is equal to 1:

  ∫[−∞, ∞] f(x) dx = 1

This integral represents the total area under the probability density curve, which must be equal to 1.

To calculate the probability of X falling within a certain interval [a, b], we can use the probability density function as follows:

P(a ≤ X ≤ b) = ∫[a, b] f(x) dx

This integral gives the probability that X takes on a value between a and b.

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The stage of group development that is characterized by disagreements and conflicts is called storming. During this stage, group members may have different ideas and opinions about how to approach tasks and goals, and they may struggle to find a common understanding.

Conflict can arise as individuals compete for leadership roles or try to assert their ideas over others. However, this stage is important for groups to progress towards their goals as it allows for open communication and the airing of different perspectives. Eventually, through negotiation and compromise, groups move on to the norming stage where a common understanding is established and roles are defined. From there, groups move on to performing, where they are able to work together effectively towards their goals.

Finally, the adjourning stage is where the group disbands after reaching their goals or completing their tasks.

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Answer:

Step-by-step explanation:

700.5

Step-by-step explanation:

-18x -14 = - 68

=> -18x = -68 + 14

=> -18x = -54

=> 18x = 54. ['-' on both sides gets cancelled]

\( = > x = \frac{54}{18} \)

=> x = 3 (Ans)

B. 2 and OD. 15 are not possible lengths for the third side of the triangle.

To determine the possible values for the length of the third side of a triangle, we need to consider the triangle inequality theorem, which states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

Given that two sides have lengths 6 and 9, we can analyze the possibilities:

6 + 9 > x

x > 15 - The sum of the two known sides is greater than any possible third side.

6 + x > 9

x > 3 - The length of the unknown side must be greater than the difference between the two known sides.

9 + x > 6

x > -3 - Since the length of a side cannot be negative, this inequality is always satisfied.

Based on the analysis, the possible values for the length of the third side are:

A. 7

C. 4

□E. 10

O F. 12

B. 2 and OD. 15 are not possible lengths for the third side of the triangle.

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Answer:

We conclude that If Tawnee increases the length and width of the playground by a scale factor of 2, the perimeter of the new playground will be twice the perimeter of the original playground.

Step-by-step explanation:

We know that the perimeter of a rectangle = 2(l+w)

i.e.

P = 2(l+w)

Here

Given that the length and width of the playground by a scale factor of 2

A scale factor of 2 means we need to multiply both length and width by 2.

i.e

P = 2× 2(l+w)

P' = 2 (2(l+w))

    = 2P      ∵ P = 2(l+w)

Therefore, we conclude that If Tawnee increases the length and width of the playground by a scale factor of 2, the perimeter of the new playground will be twice the perimeter of the original playground.

Answer:

I think it is the 3rd one The perimeter of the new playground will be twice the perimeter of the original playground

Step-by-step explanation:

give brainliest plz

Answer:

Reflection across x = -5

In general, a change in the price of the product causes a movement along the demand curve; and a change in production cost and related factors causes a shift in the supply curve.

The demand curve is a graphical representation of the relationship between the price of a good or service and the quantity demanded for a given period of time. In a typical representation, the price will appear on the left vertical axis of the graph, and the quantity demanded on the horizontal axis.

The supply curve is a graphic representation of the relationship between product price and quantity of product which a seller is willing and able to supply. Product price is measured on the vertical axis of the graph, and the quantity of product supplied on the horizontal axis.

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The value of variable x in the equation is 5.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Therefore, let's solve for variable x in the equation below.

2x - 8 + 3x - 10 = 10x - 43

A variable is number represented with a letter in an equation.

Hence,

2x - 8 + 3x - 10 = 10x - 43

2x + 3x - 8 - 10 = 10x - 43

5x - 18 = 10x - 43

5x - 10x = - 43 + 18

-5x = - 25

divide both sides of the equation by -5

-5x / - 5= - 25 / -5

Therefore,

x = 5

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Answer:

1.-3x+z - y

-3(-2)+4-(-4)

6+4+4

=14.

2.-2xz-3xy+4

-2(-2(4))-3(-2(-4))

-2(-8)-3(8)

16-24

= -8.

The Composite Trapezoidal rule is used to approximate the given integrals. In part (a), the integral \(\( \int_{1}^{2} x \ln x \, dx \)\) is approximated using \(\( n = 4 \)\)subintervals. In part (b), the integral\(\( \int_{2}^{2} x^{3} e^{x} \, dx \)\) is given with incorrect limits, so it cannot be evaluated.

To approximate \(\( \int_{1}^{2} x \ln x \, dx \)\) using the Composite Trapezoidal rule, we divide the interval \(\([1, 2]\) into \( n = 4 \)\) subintervals. The step size, \(\( h \)\), is calculated as\(\( h = \frac{b-a}{n} = \frac{2-1}{4} = \frac{1}{4} \)\). Then, we evaluate the function \(\( x \ln x \)\)at the endpoints of each subinterval and sum the areas of the trapezoids formed. The approximation formula for the Composite Trapezoidal rule is: \(\[\int_{a}^{b} f(x) \, dx \approx \frac{h}{2} \left[ f(a) + 2\sum_{i=1}^{n-1} f(x_i) + f(b) \right]\]\)

Using this formula, we can calculate the approximation for the given integral. The limits of the integral \(\( \int_{2}^{2} x^{3} e^{x} \, dx \)\) are given as \(\( 2 \)\) to 2 which indicates an interval of zero length. In this case, the integral cannot be evaluated since there is no interval over which to integrate.

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Answer:

Step-by-step explanation:

We have that

A = 51°, b = 14, c = 6

step 1

find the value of a

Applying the law of cosines

a²=c²+b²-2*c*b*cos A

a²=6²+14²-2*6*14*cos 51-------> 126.27

a=11.2

we know that

The sum of the lengths of any two sides of a triangle is greater than the length of the third side.

we have

a=11.2

b=14

c=6

so

(a+b) > c-------------> (11.2+14)=25.2

25.2 > 6-----> is not correct

therefore

the answer is the option

a. No triangles possible

I don't know if i am right sorry if this is wrong

Events E and F are mutually exclusive with P(EUF) = 0.64 and P(F) = 0.20, therefore the odds against E are 14 to 11.

Given that events E and F are mutually exclusive with P(EUF) = 0.64 and P(F) = 0.20, we can find P(E) using the formula P(EUF) = P(E) + P(F). Solving for P(E), we get P(E) = 0.44.

The odds against E can be found by taking the ratio of the probability of its complement (not E) to the probability of E, which gives us odds against E = P(not E) / P(E) = 0.56 / 0.44 = 14/11.

The odds against E are 14 to 11.

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Answer:

3b/2 + 3

Step-by-step explanation:

The formula to calculate perimeter of rectangle is 2l + 2w

The length is half the width so length is 1/2 (b/2 +1), which when simplified is b/4 + 1/2

Using the formula to calculate perimeter you can substitute and calculate

p= 2l + 2w

p= 2(b/4 + 1/2) + 2(b/2 + 1)

p= 2b/4 +2/2 + 2b/2 +2

p= 1/2b + 1 + b + 2

p= 3/2b + 3

Simplified it's 3b/2 +3

(a) Forecast: Linear regression  the next year is approx 191.6007.

(b) MSE: Mean Squared Error is approximately 249.1585.

(c) MAPE: Mean Absolute Percent Error is approximately 10.42%.

(a) (a) Forecast using linear regression:
To forecast the number of disk drives for the next year, we can use linear regression to fit a line to the given data points. The linear regression equation is of the form y = mx + b, where y represents the number of disk drives and x represents the year.

Calculating the slope (m):
m = (Σ(xy) - n(Σx)(Σy)) / (Σ(x^2) - n(Σx)^2)

Σ(xy) = (1)(140) + (2)(160) + (3)(190) + (4)(200) + (5)(210) = 2820
Σ(x) = 1 + 2 + 3 + 4 + 5 = 15
Σ(y) = 140 + 160 + 190 + 200 + 210 = 900
Σ(x^2) = (1^2) + (2^2) + (3^2) + (4^2) + (5^2) = 55

m = (2820 - 5(15)(900)) / (55 - 5(15)^2)
m = (2820 - 6750) / (55 - 1125)
m = -3930 / -1070
m ≈ 3.6729

Calculating the y-intercept (b):
b = (Σy - m(Σx)) / n
b = (900 - 3.6729(15)) / 5
b = (900 - 55.0935) / 5
b ≈ 168.1813

Using the equation y = 3.6729x + 168.1813, where x represents the year, we can predict the number of disk drives for the next year. To do so, we substitute the value of x as the next year in the equation. Let's assume the next year is represented by x = 6:

y = 3.6729(6) + 168.1813
y ≈ 191.6007

Therefore, according to the linear regression model, the predicted number of disk drives for the next year is approximately 191.6007.

(b) Calculation of Mean Squared Error (MSE):

To calculate the Mean Squared Error (MSE), we need to compare the predicted values obtained from linear regression with the actual values given in the data.

First, we calculate the predicted values using the linear regression equation: y = 3.6729x + 168.1813, where x represents the year.

Predicted values:

Year 1: y = 3.6729(1) + 168.1813 = 171.8542
Year 2: y = 3.6729(2) + 168.1813 = 175.5271
Year 3: y = 3.6729(3) + 168.1813 = 179.2000
Year 4: y = 3.6729(4) + 168.1813 = 182.8729
Year 5: y = 3.6729(5) + 168.1813 = 186.5458
Next, we calculate the squared difference between the predicted and actual values, and then take the average:

MSE = (Σ(y - ŷ)^2) / n

MSE = ((140 - 171.8542)^2 + (160 - 175.5271)^2 + (190 - 179.2000)^2 + (200 - 182.8729)^2 + (210 - 186.5458)^2) / 5

MSE ≈ 249.1585

The Mean Squared Error (MSE) for the linear regression model is approximately 249.1585.

This value represents the average squared difference between the predicted values and the actual values, providing a measure of the accuracy of the model.

(c) Calculation of Mean Absolute Percent Error (MAPE):

To calculate the Mean Absolute Percent Error (MAPE), we need to compare the predicted values obtained from linear regression with the actual values given in the data.

First, we calculate the predicted values using the linear regression equation: y = 3.6729x + 168.1813, where x represents the year.

Predicted values:

Year 1: y = 3.6729(1) + 168.1813 ≈ 171.8542
Year 2: y = 3.6729(2) + 168.1813 ≈ 175.5271
Year 3: y = 3.6729(3) + 168.1813 ≈ 179.2000
Year 4: y = 3.6729(4) + 168.1813 ≈ 182.8729
Year 5: y = 3.6729(5) + 168.1813 ≈ 186.5458

Next, we calculate the absolute percent error for each year, which is the absolute difference between the predicted and actual values divided by the actual value, multiplied by 100:

Absolute Percent Error (APE):

Year 1: |(140 - 171.8542) / 140| * 100 ≈ 18.467
Year 2: |(160 - 175.5271) / 160| * 100 ≈ 9.704
Year 3: |(190 - 179.2000) / 190| * 100 ≈ 5.684
Year 4: |(200 - 182.8729) / 200| * 100 ≈ 8.563
Year 5: |(210 - 186.5458) / 210| * 100 ≈ 11.682
Finally, we calculate the average of the absolute percent errors:

MAPE = (APE₁ + APE₂ + APE₃ + APE₄ + APE₅) / n

MAPE ≈ (18.467 + 9.704 + 5.684 + 8.563 + 11.682) / 5 ≈ 10.42

The Mean Absolute Percent Error (MAPE) for the linear regression model is approximately 10.42%.

This value represents the average percentage difference between the predicted values and the actual values, providing a measure of the relative accuracy of the model.

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Simplest ratio of squares to triangles is \(3:5\)

There are 15 triangles and 9 squares.

Triangle is a three sided polygon which has three vertices and three sides which are connected to each other end to end at a point. sum of all three angles of a triangle is 180° .

Square is a four sided polygon which has four vertices and four sides all sides are equal in length, and all angles are equal to 90°.

A ratio is a comparison of two or more number that indicates their sizes in relation to each other ratio compare two quantities by division. here the dividend is called antecedent and the divisor is called consequent. the general form of representing a ratio between two quantities say 'a' and 'b' is a:b which is read as a is to b

Here we have to find the ratio of squares to triangles.

Given,

Number of triangle \(=15\)

Number of squares \(=9\)

Ratio of squares to triangle is\(=9/15\) (divide both antecedent and consequent by \(3\))

Simplest ratio of square to triangle is \(=\frac35=3:5\)

So the simplest ratio of squares to triangle is \(3:5\)

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Answer:

The equation in point-slope form is: y - 5 = 4(x - 2).

The equation in standard form is: 4x - y + 3 = 0.

Answer:

Standard form

4x - y = 3

Step-by-step explanation:

Point slope form of a line equation is:
y - y1 = m(x - x1)

where
(x1, y1) is a point on the line and m is the slope

The standard form of a line equation is:
Ax + Bc = C
where
A, B, C are integers

Slope Point Form

Given
(x1, y1) = (2, 5)
m = 4

The slope-point equation is
y - y1 = m(x - x1)

which is

y - 5 = 4(x - 2)

Expanding the bracket on the right side:
y - 5 = 4x  - 8

Move constant -5 to the right to become +5
y = 4x - 8 + 5 = 4x - 3

Move 4x to left becoming -4x

y - 4x = -3

or

-4x + y = -3

same as

4x - y = 3

This is the standard form with A = -4, B = 1 and C = 13

Answer:

a = -4

Step-by-step explanation:

a + c = 6

substitute 10 for 'c'

a + 10 = 6

a = -4

Answer:

a has to be a negative since c is equal to 10 so a is -4 because -4 + 10= 6

Step-by-step explanation:

hope this helps.

15 km is approximately 9.32 miles.

To convert km to miles, you can use the conversion factor 1 km = 0.621371 miles. To convert 15 km to miles, you would multiply 15 by 0.621371, which gives you 9.32055 miles.

The conversion from kilometers (km) to miles (mi) can be done using a conversion factor of 0.621371 miles per kilometer. So, 15 km is equal to 15*0.621371 = 9.32055 miles.

It's important to note that kilometers and miles are both units of measurement for distance, but they are not interchangeable. The kilometer is more commonly used in metric countries, while miles are commonly used in the United States and United Kingdom.

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Answer:

x = 11/4

y = -6/7

Step-by-step explanation:

A horizontal line is a left/right line, like the horizon. The equation of a horizontal line is always in the form of

y = "a number"

The given point

(11/4, -6/7), well, any point, is in the form (x, y). The first number is the x and the second number is the y.

In this case, with your point, y = -6/7.

This is the equation of the horizontal line through your point.

A vertical line is an up/down line. The equation of a vertical line is always in the form:

x = "a number"

The first number

(x, y) is the x in the point (and all points) So in (11/4, -6/7) the 11/4 is the x. So the equation of the vertical line through the given point is

x = 11/4

The interval of systolic blood pressure will be between 155 to 95

Standard deviation is defined as the amount of variation or the deviation of the numbers from each other.

From the question, we are told that

Mean  x=125

Standard deviation = 10

The Percentage for men =99.75%

Generally, the empirical rule 68%,95% and 99.7% of data value lay b/w 1,2,3 standard deviation of mean  

Standard deviation n= 10

Mean x= 125

Generally, the interval  of systolic blood pressure for middle 99.7 of male G is mathematically given as

G = Mean ± (3x \(\sigma\))

G= 125 ±  (3 x 10)

G= 125 ±  (30)

G = 155 and 95

Hence the interval of systolic blood pressure will be between 155 to 95

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Answer:

Step-by-step explanation: