The econd highet mountain on earth ha a peak elevation of 9,417 yard. What i the elevation of thi mountain in feet?

Answer:

18 feet

Step-by-step explanation:

Your equation for circumference will always be C = 2πr

In that case, you are given C as 36π

Step 1: Replace known variables

36π = 2πr

Step 2: Divide both sides by 2π

18 = r

And you have your final answer.

If the null hypothesis is true and there is no treatment effect, the expected value on average for the F-ratio would be 1.00. The correct answer is option (b) 1.00

In hypothesis testing using the F-test, the F-ratio is calculated by dividing the variance between groups (treatment effect) by the variance within groups (random variation). When the null hypothesis is true and there is no treatment effect, the numerator (variance between groups) and the denominator (variance within groups) would be similar, resulting in an F-ratio close to 1.

Therefore, the correct answer is b. 1.00, as the expected value for the F-ratio would be around 1 when the null hypothesis is true and there is no treatment effect.

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The top of the 20-foot ladder used for painting will be  19 feet up from the base of the house

information given in the question

Brian borrowed a 20-foot extension ladder: hypotenuse = 20-foot ladder

he sets the base of the ladder six feet from the house

adjacent = 6 feet from the house

opposite =  how far up will the top of the ladder reach = ?

The problem is solved using the Pythagoras theorem is applicable to right angle triangle.  the formula of the theorem is

hypotenuse² = adjacent² + opposite²

substituting the values into the equation

let x be thow far up will the top of the ladder reach

20² = 6² + x²

400 = 36 + x²

400 - 36 = x²

x² = 364

x = √364

x = 19.08

The ladder Brain borrowed will go 19 feet high

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complete question

Brian borrowed a 20-foot extension ladder to use to paint his house. If he sets the base of the ladder six feet from the house how far up will the top of the ladder reach?

9514 1404 393

Answer:

  7%

Step-by-step explanation:

The tax rate is the ratio of tax to pre-tax cost:

  $4.20/$60.00 = 0.07 = 7%

The constant of variation (tax rate) is 7%.

Answer:

\(( - \frac{1}{2 \:} \: - \frac{5}{4} )\)

\(( - 0.5 \: \: - 1.25)\)

Answer:

Step-by-step explanation:

b.=  \(3\sqrt{3} - 2\sqrt{3} + 5\sqrt{3} = (3-2+5)\sqrt{3} = 6\sqrt{3}\)

a. = \(3\sqrt{7} + 8\sqrt{7} + 2\sqrt{5} = 11\sqrt{7} + 2\sqrt{5}\)

If you choose the rebate offer, your monthly payment for the car loan at the bank will be approximately $557 (rounded to the nearest dollar).

To calculate the monthly payment for each financing option, we'll use the information provided:

1. 0% financing for 48 months:

Since the financing is offered at 0% interest, the monthly payment can be calculated by dividing the total purchase price by the number of months.

Purchase Price: $26,050

Number of Months: 48

Monthly Payment = Purchase Price / Number of Months

Monthly Payment = $26,050 / 48 ≈ $543

Therefore, the monthly payment for the 0% financing option for 48 months is approximately $543.

2. Rebate offer and car loan at the bank:

If you choose the rebate offer, you'll need to finance the remaining balance after deducting the rebate amount. Let's calculate the remaining balance:

Purchase Price: $26,050

Rebate Offer: $2,900

Remaining Balance = Purchase Price - Rebate Offer

Remaining Balance = $26,050 - $2,900 = $23,150

Now, we'll calculate the monthly payment using the remaining balance and the loan terms from the local bank:

Remaining Balance: $23,150

Interest Rate: 5.24% (compounded monthly)

Number of Months: 48

Monthly Payment = (Remaining Balance * Monthly Interest Rate) / (1 - (1 + Monthly Interest Rate)^(-Number of Months))

First, let's calculate the Monthly Interest Rate:

Monthly Interest Rate = Annual Interest Rate / 12

Monthly Interest Rate = 5.24% / 12 ≈ 0.437%

Now, we can calculate the Monthly Payment using the formula mentioned above:

Monthly Payment = ($23,150 * 0.437%) / (1 - (1 + 0.437%)^(-48))

Monthly Payment ≈ $557

Therefore, if you choose the rebate offer, your monthly payment for the car loan at the bank will be approximately $557 (rounded to the nearest dollar).

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The factor that does NOT control the stability of a slope is the angle of repose for intact bedrock. The angle of repose refers to the steepest angle at which a pile of loose material remains stable without sliding. It is mainly applicable to loose materials like soil and granular substances, not intact bedrock.

Bedrock stability depends on factors such as its strength, fracturing, and geological properties, rather than the angle of repose. Factors that control the stability of a slope include whether the slope is rock or soil. Rock slopes tend to be more stable than soil slopes due to the cohesive nature of intact rock.

The amount of water in the soil also affects slope stability, as excessive water can increase pore pressure and reduce the shear strength of the soil, leading to slope failure. Additionally, the orientation of fractures, cleavage, and bedding in the rock can influence slope stability by creating planes of weakness or strength.

To summarize, while the angle of repose is a significant factor in slope stability, it is not applicable to intact bedrock. The stability of a slope is influenced by the type of material (rock or soil), the presence of water, and the orientation of fractures and bedding.

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Answer:

Concept: Algebraic Analysis

Answer:

This is an English server

Step-by-step explanation:

Answer:

x-intercepts: (12, 0)

Step-by-step explanation:

Answer:

rational number

Step-by-step explanation:

unless simplified, it only qualifies as a rational number

Answer: (11x+12)(11x−12)

Step-by-step explanation: (11x+12)(11x−12)                                                       (11x+12)(11x+−12)                                                                                                       (11x)(11x)+(11x)(−12)+(12)(11x)+(12)(−12)                                           121x2−132x+132x−144                                                                                           121x^2-144

Answer:

the process is correct

Step-by-step explanation:

hope u like it

Answer:

200 seconds

Step-by-step explanation:

1 km = 1000m

3 km = 3000m

How long would it take to travel 3 km at a speed of 15 m/s?

The equation to solve this is:

Time = Distance / Rate

D = 3km or 3000m

R = 15 m/s

3000 divided by 15 = 200 seconds

So, it would take 200 seconds to travel 3 km at a speed of 15 m/s

Answer:

Below

Step-by-step explanation:

You need to have consistent units

  3 km = 3000 m

Distance / rate = time

 3000 m / 15 m/s = 200 seconds

Answer: A. Mean = 9.56, Median = 11, Mode = 7

Step-by-step explanation:

The mean, median and the mode for the given data is 9.56, 9, and 7 respectively.

Given data below:

In order to find the mean, it can be calculated by dividing a sum of all the data points with the number of data points in the data set.

The formula is:

\(\bar{M}=\dfrac{\sum M}{N}\)

\(\bar{M}=\dfrac{4+6+7+7+9+11+13+14+15}{9}\)

\(\bar{M}=\dfrac{86}{9}\)

\(\bar{M}=9.56\)

Next, we will find the median.

In order to find the median, we got to place the numbers in value order and find the middle.

So,

\(\text{Median}=9\)

Lastly, we will find the mode.

To find the mode, order the numbers lowest to highest and see which number appears the most often.

So,

\(\text{Mode}=7\)

Thus, the mean, median and the mode for the given data is 9.56, 9, and 7 respectively.

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Based on probability calculations, approximately 7% of the people in the large group should obtain counts in the range of 20 to 30 aces when rolling a die 150 times.

When rolling a fair six-sided die, the probability of getting an ace (a single dot) is 1/6. Therefore, the probability of not getting an ace in a single roll is 5/6. To calculate the probability of obtaining a specific number of aces in 150 rolls, we can use the binomial distribution. In this case, the number of trials is 150, and the probability of success (getting an ace) in each trial is 1/6.

Using statistical calculations, we can determine the probability of obtaining counts between 20 and 30 aces. This involves summing the probabilities of getting 20, 21, 22, ..., 30 aces individually. This range of counts corresponds to a relatively small portion of the entire distribution. By calculating these probabilities and summing them, we find that the percentage of people who should obtain counts in the range 20 to 30 is approximately 7% of the total group size.

It's important to note that these calculations assume a fair six-sided die and independent rolls. The actual outcomes may vary due to chance, but on average, about 7% of the individuals in the large group would be expected to have counts in the specified range.

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Answer:

Step-by-step explanation:

Let Dina's age = 1/2 x

Let Michel's age = x

Let Juliette's age = 1/2 x + 3

1/2 + x + 1/2x + 3 = 39

2x + 3 = 39

2x = 39 - 3

2x = 36

x = 18

Dina's age = 1/2 18 = 9

Michelle =                18

Juliet = 1/2 18 + 3  = 12

Total                        39

The mean number of cars sold by each salesman at Kovak Motors is 10 cars per month, with a standard deviation of 3 cars (distribution is symmetric). Ben Polamalu only sold 6 cars last month. The statement which true is B) Ben's sales were not unusual last month.

The mean is one of the important formulas in mathematics. Another term for the mean is the average. The mean is a calculation that is studied further in statistics.

Calculating the mean is a basic math skill. The mean is a calculation that can be calculated using a simple formula. Usually, the mean is a formula that is used in conjunction with other statistical formulas such as the mode and median.

In everyday life, the mean is a calculation that is often used. An example of using the mean is to find out the average income of employees in an office.

Your question is incomplete but most probably your full question was:

The mean number of cars sold by each salesman at Kovak Motors is 10 cars per month, with a standard deviation of 3 cars (distribution is symmetric). Ben Polamalu only sold 6 cars last month. which statement is true?

A) Ben's sales were unusual last month.

B) Ben's sales were not unusual last month.

C) Ben's sales were not unusual this month.

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The value of he angle LMN is equal to 68° when the value of the angle MNO is 112°.

The quadrilateral LMNO is a parallelogram. Now, as we can see from the figure, the angle angle ∠LON and ∠LMN are equal and ∠OLM and ∠ONM are equal.

Let us say that the angle ∠LON and ∠LMN are equal to X°.

So, we can write the relation,

112° + 112° + X° + X° = 360°

So, now we have,

2X° = 360° - 224°

X = 68°.

So, the value of the angle LMN is equal to 68°, so option d is correct.

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The length of the line segment is given by the distance equation

D = 7.2 units

The distance of a line between 2 points is always positive and given by the formula

Let the first point be A ( x₁ , y₁ ) and the second point be B ( x₂ , y₂ )

The distance between A and B is D , and the distance D is

Distance D = √ ( x₂ - x₁ )² + ( y₂ - y₁ )²

Given data ,

Let the distance of the line segment between two points be D

Now , the equation will be

Let the first point be represented as P ( 1 , 6 )

Let the second point be represented as Q ( 7 , 2 )

Now , distance between P and Q is D , and the distance D is

Distance D = √ ( x₂ - x₁ )² + ( y₂ - y₁ )²

D = √ ( 1 - 7 )² + ( 6 - 2 )²

On simplifying the equation , we get

D = √ ( -6 )² + ( 4 )²

D = √ ( 36 + 16 )

D = √ 52

D = 7.2 units

Hence , the distance is 7.2 units

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The area enclosed by the given curves is \(A=32\int\limits^{2\pi}_0 {sin(t^{2})cost(t) } \, dt\) .

To find the area enclosed by the curve described by the parametric equations x = 2sint, y = 16sin(t²) for 0≤t≤2π, we can use the formula for the area enclosed by a parametric curve

\(A=\int\limits^b_a {y(t).x'(t)} \, dt\)

where x'(t) is the derivative of x(t) with respect to t, and a and b are the lower and upper limits of the parameter t.

Lets calculate the derivative of x(t)

dx/dt = 2cos(t)

Now substitute the values in the formula

\(A=\int\limits^{2\pi }_0 {(16sin(t^{2})).(2cos(t)) } \, dt\)

Simplifying the expression

\(A=32\int\limits^{2\pi}_0 {sin(t^{2})cost(t) } \, dt\)

Unfortunately, there is no known elementary function that can represent the antiderivative of the product sin(t²)cos(t). Therefore, we cannot obtain an exact closed-form solution for the integral.

However, if numerical approximation is acceptable, we can use numerical methods, such as numerical integration techniques or software, to find an approximate value for the area enclosed by the curve.

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it displays the computed sum and product of the diagonal elements.

Here's a MATLAB code to find the sum and product of the diagonal elements of a given matrix `A`, as well as an example execution for `A = ones(5)`:

```matlab

% Define the matrix A

A = ones(5);

% Get the size of the matrix

[n, ~] = size(A);

% Initialize variables for sum and product

diagonal_sum = 0;

diagonal_product = 1;

% Calculate the sum and product of diagonal elements

for i = 1:n

   diagonal_sum = diagonal_sum + A(i, i);

   diagonal_product = diagonal_product * A(i, i);

end

% Display the results

disp("Sum of diagonal elements: " + diagonal_sum);

disp("Product of diagonal elements: " + diagonal_product);

```

Example execution for `A = ones(5)`:

```

Sum of diagonal elements: 5

Product of diagonal elements: 1

```

In this example, `A = ones(5)` creates a 5x5 matrix filled with ones. The code then iterates over the diagonal elements (i.e., elements where the row index equals the column index) and accumulates the sum and product. Finally, it displays the computed sum and product of the diagonal elements.

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Answer:

Angle 1 = 88 degrees

Angle 2 = 42 degrees

Angle 3 = 113 degrees

Step-by-step explanation:

Angle 2 is a vertical angle to the angle whose measure is 42 degrees. Therefore, they are congruent. (Angle 2 = 42 degrees)

The Interior Angle Sum states that the sum of all the angles inside of a triangle always add up to 180 degrees.

180- (50+42)

180-92

Angle 1 = 88 degrees

180- (42+25)

180-67

Angle 3 = 113 degrees

Hope this helps. Have a nice day you amazing bean child.

Answer:

All my answers and work is in the screenshot! :)

Step-by-step explanation:

Answer:

\({ \tt{0.48 \times 1594.3 = 765}}\)

Answer: 800

Answer:

1000

Step-by-step explanation:

Rounding 0.48 ≈ 0.5 ( to 1 significant figure )

Rounding 1594.3 ≈ 2000 ( to 1 significant figure ) , then

0.5 × 2000 = 1000

The Mean of a standard normal distribution is always equal to 0. This statement is true.

The standard normal distribution is a normal distribution with a mean of zero and a standard deviation of one. The density curve of a standard normal distribution is bell-shaped and symmetric. Its total area under the curve is equal to 1.00.A normal distribution with a mean (µ) of zero and a standard deviation (σ) of one is called a standard normal distribution. Any normal distribution can be converted into a standard normal distribution by using a process known as standardization. Z-score formula is used to find the probability and value associated with any normal distribution.What is a normal distribution?A normal distribution is a statistical term that describes a symmetrical, bell-shaped probability distribution that has a particular mathematical formula. It's used to explain and assess natural phenomena such as height, blood pressure, and intelligence quotient (IQ).A normal distribution is a probability distribution with a bell-shaped curve that is symmetrical. The mean (µ) is the center of the curve, while the standard deviation (σ) determines its width. Most of the values in a standard normal distribution are concentrated within three standard deviations of the mean, as seen in the figure. The standard normal distribution is one of the most often utilized continuous probability distributions in statistical theory.

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Answer:

Ray DE and Ray AE

Step-by-step explanation:

Ray AE and ray CE are the required pair of opposite rays. Option A is correct.

Given that,
A figure has shown, Four rays have been emerging out from a single point E. It is to be determined that which pair of rays are pair of opposite rays.

What is a Line?

A line can be defined by the shortest distance between two points is called a line.

Here, as shown in the figure,
Four trays are emerging out from point E namely, AE, BE, CE, and DE. Rays AE and CE or Ray DE and BE both are pairs of opposite rays

Thus, ray AE and ray CE are the required pair of opposite rays. Option A is correct.

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Answer:

Step-by-step explanation:

It's the last choice because that's the only place where the graph is above the x-axis, making f(x) > 0 or positive.

Answer:

D

Step-by-step explanation:

Answer:

Step-by-step explanation:

Let the number of months be x

Alligator 1 weight = 4 + 2x

Alligator 2 weight = 8 + x

The answer is 4 months

Answer:

d and e are parallel because alternate exterior angles are congruent

Step-by-step explanation:

Answer:

I would choose a and b

Step-by-step explanation:

because parallel Lines have 2 going at the same directions. They don't have 3 lines going in the same direction. Just 2