given the following frequency table of values, is the mean or the median likely to be a better measure of the center of the data set? value232425262728frequency434424

As per the given density function, the value of c is 0.

Density function:

Density function is an integral of the density of the variable density over a given range.

Given,

A skilled worked requires at least 10 minutes, and no more than 20 minutes, to complete a certain task. The completion time X is a continuous random variable with density function f(x) = c/x² for 10 < x < 20 and f(x) = 0 for all other values of x.

Here we need to find the value of c.

While we looking into the given question,

Least time = 10

Maximum time = 20

Density function = f(x) = c/x²

In order to find the value of c, we have to equate the function with 0, then we get,

=> c/x² = 0

=> c = 0

Therefore, the value of c is 0.

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The town is approximately 1806.11 feet from the base of the cliff. The opposite side is the vertical distance from the top of the cliff to the town, which is 364 feet.

The angle of depression is an angle formed between a horizontal line and a line of sight to an object below the horizontal line. In this problem, the angle of depression is 19 degrees and the top of the cliff is 364 feet above the town. To calculate the distance from the base of the cliff to the town, we can use the trigonometric function Tangent .Tangent can be expressed as the ratio of the opposite side to the adjacent side in a right triangle. In this problem, the adjacent side is the horizontal distance from the base of the cliff to the town, which we will call x, and the opposite side is the vertical distance from the top of the cliff to the town, which is 364 feet. Therefore, the equation for this problem is tan(19°) = 364ft/x We can solve for x by multiplying both sides by x and dividing both sides by tan(19°).x = (364ft)/tan(19°). Using a scientific calculator, we can find that x is approximately 1806.11 feet. Therefore, the town is approximately 1806.11 feet from the base of the cliff.

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Answer:

80°

Step-by-step explanation:

both triangles are scalene triangle and the have equal properties

angles in triangles sum up to 180°

30°+70° +D=180°

D=180-100=80°

Answer: \(\angle 6\)

Step-by-step explanation:

Assuming TURS is a rectangle, \(\angle 5 \cong \angle 6\) by the alternate interior angles theorem.

Answer:

Proved below.

Step-by-step explanation:

Parallel lines and angles:

     Given: p // q and ∠1≅ ∠2

Proof:

        p //q, l is transversal,

            ∠3 ≅ ∠1   -----(I)    {Corresponding angles are congruent}

          ∠1 ≅ ∠2   ---------(II)    {Given}

From (II) & (I),

        ∠3 ≅ ∠2

∠3 and ∠2 are alternate interior angles. Alternate interior angles are congruent only if the lines are parallel.

⇒ l // m

Answer:

To find the total amount of money spent on the toy car, pizza, and pencil, we simply need to add the individual prices together:

$7.55 (toy car) + $3.75 (pizza) + $0.75 (pencil) = $12.05

Therefore, you spent $12.05 altogether on the toy car, pizza, and pencil.

Answer:

Part A: (C) 16 square inches

Part B: (C) 36 square inches

Answer: A line that is parallel to the x-axis is a horizontal line. In this case, the horizontal line passes through a point, (1,2). All points on a horizontal line will have the same y value. Therefore, y=2  for every point on this line and that is the equation of the line.

Step-by-step  explanation i Hope this helps

The turtle's distance from his starting point is constant between seconds. The turtle's distance from his starting point is decreasing between seconds.

Answer:

The turtle’s distance from the starting point is increasing for

✔ 10

seconds.

Between 10 and 12 seconds, the turtle’s distance is

✔ decreasing

Between 12 and 14 seconds, the turtle is

✔ standing still

Step-by-step explanation:

The turtle is moving across the ruler for 10 seconds, this means his distance is increasing for this amount of time he is moving. Now, he starts walking backwards, so his distance is decreasing now for the amount of time he is walking backwards, which would be between 10 and 12 seconds of time. Now the turtle is unmoving, he is not going forward nor backward between 12 and 14 seconds, so he is now standing still:)

A. m∠1 = 45° because m∠1 and the angle measuring 135° are supplementary angles

B. m∠2 = 95° because m∠2 and the angle measuring 95° are vertical angles

C. m∠3 = 40° because m∠1, m∠2, and m∠3 form a triangle.

When a transversal line intersects a pair of parallel lines, several angles are formed which includes: Corresponding angles, vertical angles, alternate angles, complementary and supplementary angles.

m∠1 + 135° = 180° {supplementary angles}

m∠1 = 180° - 135°

m∠1 = 45°

m∠2 and 95° are vertical angles thus they are equal so;

m∠2 = 95°

m∠1 + m∠2 + m∠3 = 180° {sum of interior angles of a triangle}

45° + 95° + m∠3 = 180°

140° + m∠3 = 180°

m∠3 = 180° - 140°

m∠3 = 40°

In conclusion:

A. m∠1 = 45° because m∠1 and the angle measuring 135° are supplementary angles.

B. m∠2 = 95° because m∠2 and the angle measuring 95° are vertical angles

C. m∠3 = 40° because m∠1, m∠2, and m∠3 form a triangle.

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The investment's expected return is 5.95%.

The expected return of an investment is calculated by multiplying the probabilities of each possible return by their respective returns and summing them up. In this case, Gautney Enterprises has provided the probabilities and returns for the investment. By applying the formula, we find that the expected return is 5.95%.

To calculate the standard deviation, we need to determine the variance first. The variance is computed by taking the difference between each possible return and the expected return, squaring those differences, multiplying them by their respective probabilities, and summing them up. Once we have the variance, the standard deviation is simply the square root of the variance. The standard deviation measures the degree of risk associated with an investment.

In this scenario, the expected return of the investment is 5.95%, but we need to consider the standard deviation as well to assess the risk. If the standard deviation is high, it indicates a greater level of uncertainty and potential volatility in returns. A low standard deviation implies a more stable investment.

Without the specific values for each return and their respective probabilities, we cannot calculate the exact standard deviation. However, Gautney Enterprises should compare the calculated expected return and the associated standard deviation to their risk tolerance and investment objectives. If the expected return meets their desired level of return and the standard deviation aligns with their risk appetite, they may consider investing in this security.

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False. According to the SMCRE model, which stands for Source, Message, Channel, Receiver, and Environment, presenters do not have the most control over the source variable.

According to the SMCRE model, which stands for Source, Message, Channel, Receiver, and Environment, presenters do not have the most control over the source variable. In this model, the source variable refers to the information being presented or communicated. While presenters can influence the source through their choice of content and delivery, they do not have complete control over it. The source variable can also include factors such as the underlying research, data, or ideas being conveyed, which may not be directly controlled by the presenter. Other variables, such as the message, channel, receiver, and environment, also play significant roles in the overall communication process.

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The direction angle of the vector v = <12, 2> with initial point (-5, 0) and terminal point (7, 2) is approximately 9.5°

To find the direction angle of the vector v = <12, 2> to the nearest tenth of a degree, with an initial point (-5, 0) and terminal point (7, 2), you can use the following steps:

1. Calculate the horizontal and vertical components of the vector. In this case, the horizontal component is 12 (change in x) and the vertical component is 2 (change in y).

2. Use the arctangent function (also called the inverse tangent or tan^-1) to find the direction angle θ. This function takes the ratio of the vertical component to the horizontal component as its argument:

θ = tan^-1(vertical component / horizontal component)
θ = tan^-1(2 / 12)

3. Calculate the value of θ in degrees. You can use a calculator or an online tool to find the arctangent of the ratio. Ensure that your calculator is set to degrees, not radians:

θ ≈ tan^-1(0.1667)

  ≈ 9.5°

So, the direction angle of the vector v = <12, 2> with initial point (-5, 0) and terminal point (7, 2) is approximately 9.5° to the nearest tenth of a degree.

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Answer: $164

Step-by-step explanation:

25*7=175

175+12.5

226.50-187.50

5*25=125+39

Jones family payed $164

Answer:

7 cents per centimeter

Step-by-step explanation:

Answer:

40

Step-by-step explanation:

5(a+5)

Let a =3

5(3+5)

Parentheses first

5(8)

Multiply

40

Answer:

40

Step-by-step explanation:

5(a+5)

5(3+5)

5(8)

40

Answer:

The equation of the line through the given points is y = (1/2)x + 1.

Step-by-step explanation:

To find the equation of a line passing through two given points, we can calculate the slope (m) using the formula:

m = (y2 - y1) / (x2 - x1)

Given the points (7, 2) and (-1, 0), we have:

m = (0 - 2) / (-1 - 7) = -2 / -8 = 1/4

Next, we can use the point-slope form of a linear equation, y - y1 = m(x - x1), where (x1, y1) represents one of the given points. Let's choose the point (7, 2):

y - 2 = (1/4)(x - 7)

Expanding and rearranging the equation, we get:

y - 2 = (1/4)x - (7/4)

y = (1/4)x - (7/4) + 2

y = (1/4)x - (7/4) + (8/4)

y = (1/4)x + 1

Therefore, the equation of the line passing through the points (7, 2) and (-1, 0) is y = (1/4)x + 1.

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Answer:

Here's a high-level description of an NFA that accepts strings over the digits 0-9 but does not contain the sequence "777" anywhere in the string:

Start with a single initial state.

For each digit from 0 to 9, create a transition from the initial state to a new state labeled with that digit.

From each state labeled with a digit, create a transition to itself labeled with that same digit.

Create a transition labeled with any digit from each state labeled with a digit to a new state.

From the new state, create a transition labeled with any digit to itself.

Create a transition labeled with any digit from the new state to another new state.

From the second new state, create transitions labeled with 0, 1, 2, 3, 4, 5, 6, and 8 back to the initial state.

Create a transition labeled with 9 from the second new state to a final accepting state.

From the final accepting state, create transitions labeled with any digit back to itself.

This NFA effectively allows any sequence of digits except the sequence "777". It loops back to the initial state whenever it encounters a digit that is not part of "777". If it reaches the end of the string after encountering any other digit, it transitions to the final accepting state.

Please note that while this description provides a high-level idea of the NFA structure, it may be helpful to create a visual representation or a more detailed description with state labels, transition arrows, and specific state transitions if you need to implement this NFA in code or further analyze its behavior.

Step-by-step explanation:

72 i rounded it to that

Answer:

if you simplify it is -6x-3y

Step-by-step explanation:

Answer:

square root of (l^2 + b^2)

The formula for the diagonal of a rectangle is given by the d = √(l² + w²).

What is the length of the diagonal of the rectangle?

We can find the diagonal of a rectangle if you have the width and the height. The diagonal equals the square root of the width squared plus the height squared.

The diagonal of a rectangle is a line segment connecting two opposite corners of the rectangle and passes through the interior of the rectangle.

The formula for the diagonal of a rectangle is given by the Pythagorean theorem:

d = √(l^2 + w^2)

Where,

d is the length of the diagonal,

l is the length of the rectangle,

and w is the width of the rectangle.

The Pythagorean theorem states that in a right triangle, the sum of the squares of the lengths of the two shorter sides is equal to the square of the length of the longest side (the hypotenuse).

In the case of a rectangle, the two shorter sides are the length and the width of the rectangle, and the longest side is the diagonal.

Therefore, the diagonal of a rectangle can be considered as the hypotenuse of a right triangle with sides equal to the length and width of the rectangle.

Hence, The formula for the diagonal of a rectangle is given by the d = √(l² + w²).

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Answer:

A tuple cannot be changed once it is created.

Step-by-step explanation:

Answer:

Step-by-step explanation:

To factor 4wx + 8w + 9x + 18, we can group the terms as follows:

(4wx + 9x) + (8w + 18)

Then we can factor out the common factor from each group:

x(4w + 9) + 2(4w + 9)

Notice that we now have a common factor of (4w + 9) in both terms, so we can factor it out:

(4w + 9)(x + 2)

Therefore, 4wx + 8w + 9x + 18 factors as (4w + 9)(x + 2).

Answer:

\(C(t)= \frac{1}{2} kg (2/3) ^ t\)

Step-by-step explanation:

Original Question:

Explanation:

Answer:

im sorry but i have no clue what this is:(

Step-by-step explanation:

The LCM of the two polynomials is (x - 1)(x + 4)(x + 1).

Let's factorize the given polynomials:

Polynomial 1:

x² + 3x - 4 can be factored as (x - 1)(x + 4).

Polynomial 2:

2x² - 2 can be factored as 2(x - 1)(x + 1).

Now, we identify the highest power of each distinct factor:

The highest power of (x - 1) is (x - 1).

The highest power of (x + 4) is (x + 4).

The highest power of (x + 1) is (x + 1).

Therefore, the LCM of the two polynomials is (x - 1)(x + 4)(x + 1).

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