1) Government funding: The following table presents the budget


(in millions) for selected organizations that received U. S


government funding for arts and culture in both 2006 and 2012


Organization


2006 2012


Corporation for Public Broadcasting 460 445


Institute of Museum and Library Services 247 237


National Endowment for the Humanities 142 148


National Endowment for the Arts


124 148


National Gallery of Art


951 147


Commission of Fine Arts


2 3


Advisory Council on Historic Preservation 5 6


a) Compute the correlation coefficient.

Answer:

240

Step-by-step explanation:

Since David has 60 fewer storybooks than Huiling, take the total number of storybooks, which is 460 and minus it by 60.

460-60=400

Now, there are 5 units, 5units=400

1unit=80

Since Jenny has 3 times as many storybooks as David, Jenny has 3 units, 3unit=80x3=240

Tip: Draw a model to help you visualise the question better.

The similarity lies in the fact that both lists contain the same set of numbers, but their order is determined by different criteria - one based on magnitude and the other based on distance from zero.

Let's order the numbers -3, 5, -10, and 16 as requested.

From least to greatest:

-10, -3, 5, 16

The ordered list from least to greatest is: -10, -3, 5, 16.

Now let's order the same numbers from closest to zero to farthest from zero:

-3, 5, -10, 16

The ordered list from closest to zero to farthest from zero is: -3, 5, -10, 16.

Regarding the similarity between the two lists, both lists contain the same set of numbers: -3, 5, -10, and 16. However, the ordering criteria are different in each case. In the first list, we order the numbers based on their magnitudes, whereas in the second list, we order them based on their distances from zero.

By comparing the two lists, we can observe that the ordering changes since the criteria differ. In the first list, the number -10 appears first because it has the smallest magnitude, while in the second list, -3 appears first because it is closest to zero.

Overall, the similarity lies in the fact that both lists contain the same set of numbers, but their order is determined by different criteria - one based on magnitude and the other based on distance from zero.

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The inverse of the function is x²+8x+13

In mathematics, an inverse function is a arithmetic operator that "reverses" another function: if the function f applied to an input x gives a result of y, then applying its inverse function g to y provides the result x, and contrariwise, i.e., f(x) = y if and only if g = x.

To get the inverse of any function f(x) [ just make sure that it passes the horizontal line test] follow the steps:- Solve for x, i.e separate x in one side and the other terms in the other side, included f(x).-

Swap x and f(x).-

The result is the inverse of the original function .

y=√x+3-4

y+4=√x+3

on squaring with sides we get

y²+16+8y=x+3

y²+8y+13=x

swapping x And y we get y=x²+8x+13

f inverse x =x²+8x+13

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Answer: yes its just set up diffrently

Step-by-step explanation:

Answer:

ans: yes it is because it matches the same number

Given that, the height at time t is represented by: S(t) = -16t² + 480 To find the following:  To find the time taken by the object to hit the ground, we need to find the time when the height is zero.

Since the height represents S(t) of the object at time t, we can equate S(t) to 0 and solve for t.-16t² + 480 = 0 By solving the above quadratic equation, we get the following values: t = 15 The negative value can be discarded as we are considering time. Therefore, the object will hit the ground after 15 seconds. To find the height of the object after 1 second, we need to substitute t = 1 in the given expression. S(t) = -16t² + 480

= -16(1)² + 480

= 464 feet

Therefore, the height of the object after 1 second is 464 feet. To find the time at which the height of the object is 304 feet, we need to equate S(t) to 304 and solve for t.-16t² + 480 = 304By solving the above quadratic equation, we get the following values: t = 5 The negative value can be discarded as we are considering time. Therefore, the height of the object is 304 feet after 5 seconds.

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The amount that the Jones family would pay in the 18th month would be $1,233.45

Prior to determining the required payment for the 18th month, it is paramount to calculate the collective minimum payments by the Jones family during the course of seventeen months.

First, find the amount that had been paid in total by the Jones in 17 months to be :

= Monthly payment x minimum monthly payment

= 17 x 25

= $ 425

The balance after 17 months is :

= $ 1 , 658. 45 - $ 425

= $ 1, 233. 45

The remaining balance of $ 1, 233. 45 would have to be paid in the 18th month.

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The amount of rice harvested this year from 690 acres of farmland was 5211570 bushels

An equation is an expression used to show the relationship between two or more numbers and variables.

This year, a large farm harvested rice from 690 acres of farmland. The crop yield was 7,553 bushels per acre.

Hence:

Amount of rice harvested =  7,553 bushels per acre * 690 acres = 5211570 bushels

The amount of rice harvested this year from 690 acres of farmland was 5211570 bushels

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Answer: B

Step-by-step explanation:

if on edg just took the quiz

Answer:

m∠2 = 75°

m∠1 = 105°

Step-by-step explanation:

1. First, we should recognize that the angle that's 75° and ∠2 are alternate interior angles, formed on the interior of the opposite sides of the transversal. Alternate interior angles are congruent, so m∠2 = 75°.

2. Next, ∠2 and ∠1 are a linear pair, meaning their angle measures add up to 180°. Considering that m∠2 is 75 degrees, we just have to subtract 75 from 180, and we get the measure of ∠1.

Therefore, m∠1 = 105°.

Answer:

y = - 3x² + 6x + 9

Step-by-step explanation:

given the zeros of a parabola x = a , x = b , then the factors are

(x - a) , (x - b)

here the zeros are x = - 1 and x = 3 , then

factors are (x + 1) and (x - 3)

the equation of the parabola is then the product of the factors, that is

y = a(x + 1)(x - 3) ← a is a multiplier

to find a substitute the point (0, 9 ) into the equation

9 = a(0 + 1)(0 - 3) = a(1)(- 3) = - 3a ( divide both sides by - 3 )

- 3 = a

then equation is

y = - 3(x + 1)(x - 3) ← expand factors using FOIL

  = - 3(x² - 2x - 3) ← distribute parenthesis by - 3

y = - 3x² + 6x + 9

Answer:

4/5

Step-by-step explanation:

Answer:

4/5

Step-by-step explanation:

Answer:

it's going to be the first one, (x+7,-y)

Step-by-step explanation:

take one point, A for example and count how far it moved left and right. left is negative, right is positive, do the same for y

Step-by-step explanation:

\((5)(3 + 4) = 5(3) + 5(4) \\ (15 + 20) = (15) + (20) \\ (35) = (35)\)

The expected number of pets in this locality is 1.66. Option (d) is the correct answer.

The expected value of a discrete random variable can be computed by summing the product of the value of the random variable with its probability.

That is, Expected value = E(X) = x₁p₁ + x₂p₂ + x₃p₃ + ... + xₙpₙ

where p is the probability of the corresponding value x.

For the given probability distribution of the number of pets x per household, we can compute the expected number of pets in the locality as follows:

E(X) = 0 × ? + 1 × 0.28 + 2 × 0.40 + 3 × 0.10 + 4 × 0.07 = 0 + 0.28 + 0.80 + 0.30 + 0.28 = 1.66

Therefore, the expected number of pets in this locality is 1.66. Option (d) is the correct answer.

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Answer: (a) Obtain a point estimate for the population proportion of adults in the country who believe that televisions are a luxury they could do without.

The point estimate for the population proportion is 514 / 1012 = 0.507.

(b) Verify that the requirements for constructing a confidence interval about p are satisfied.

The sample is stated to be a simple random sample.

The value of n * p = 1012 * 0.507 = 514.7796 is greater than or equal to 10.

The value of n * (1 - p) = 1012 * (1 - 0.507) = 497.2204 is greater than or equal to 10.

The population proportion is less than or equal to 5% of the population size.

Therefore, the requirements for constructing a confidence interval are satisfied.

(c) Construct and interpret a 95% confidence interval for the population proportion of adults in the country who believe that televisions are a luxury they could do without.

The 95% confidence interval for the population proportion is 0.507 +/- 1.96 * sqrt((0.507 * (1 - 0.507)) / 1012) = 0.507 +/- 0.0245 = (0.4825, 0.5315).

We are 95% confident that the proportion of adults in the country who believe that televisions are a luxury they could do without is between 0.4825 and 0.5315.

(d) Is it possible that a supermajority (more than 60%) of adults in the country believe that television is a luxury they could do without? Is it likely?

It is possible that a supermajority of adults in the country believe that television is a luxury they could do without because the 95% confidence interval contains 60%. However, it is not likely because the confidence interval is relatively narrow and the point estimate is far from 60%.

(e) Use the results of part (c) to construct a 95% confidence interval for the population proportion of adults in the country who believe that televisions are a necessity.

The 95% confidence interval for the population proportion of adults who believe that televisions are a necessity is 1 - 0.5315 = 0.4685 to 1 - 0.4825 = 0.5175. Therefore, the 95% confidence interval for the population proportion of adults who believe that televisions are a necessity is (0.4685, 0.5175).

Step-by-step explanation:

The specific number of hours of flight training required for a commercial pilot certification course for a helicopter rating may vary depending on the regulations of the aviation authority in the relevant jurisdiction.

Therefore, a definitive answer cannot be provided without knowing the specific regulations governing the commercial pilot certification course.

Commercial pilot certification courses for a helicopter rating are regulated by aviation authorities such as the Federal Aviation Administration (FAA) in the United States. These authorities establish the minimum requirements and standards for pilot training programs, including the number of hours of flight training.

The FAA's regulations for helicopter pilot certification under Part 141 of the Federal Aviation Regulations (FARs) outline the minimum flight training requirements. However, the specific number of hours required can vary based on factors such as the type of helicopter, the complexity of the training program, and any additional requirements set by the training institution.

To determine the exact number of flight training hours required for a Part 141 approved commercial pilot certification course for a helicopter rating, it is necessary to refer to the regulations of the specific aviation authority and consult the approved training program or contact a reputable flight training institution for accurate and up-to-date information.

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The correct statement is: "The domains of g(x) and f(x) are the same, but their ranges are not the same."

The statement "The domains of g(x) and f(x) are not the same, and their ranges are also not the same" is correct. In general, when considering functions g(x) and f(x) derived from a parent function, the transformations applied to the parent function can affect both the domain and the range. The domain of a function refers to the set of all possible input values, while the range represents the set of all possible output values. Through transformations such as shifts, stretches, compressions, or reflections, the domain and range of a function can be altered. Therefore, it is possible for the domains and ranges of g(x) and f(x) to differ from each other and from the parent function.

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To find the mass of an object, one can use the formula (Force x Distance) / Gravitational Constant (FG). This formula involves multiplying the force applied to an object by the distance it moves, and then dividing the result by the gravitational constant (FG). The resulting number is the mass of the object in kilograms.

Mass can be found by using the formula (Force x Distance) / Gravitational Constant (FG).

For example, if a force of 10N is applied to an object that is moving 2 meters, the mass of the object can be calculated as follows:

Mass = (10 N x 2 m) / FG

Mass = 20 / 9.8

Mass = 2.04 kg

Finding mass using the force-distance formula (FG) is a simple process. To use it, one needs to know the force applied to an object, the distance it moves, and the gravitational constant (FG). The force and distance values can be measured or calculated depending on the situation. The gravitational constant is a fixed number and is equal to 9.8 m/s2. To calculate the mass, one needs to take the force multiplied by the distance and then divide it by the gravitational constant (FG). The resulting number is the mass of the object in kilograms. This formula is useful for calculating the mass of objects in a variety of situations. It is also useful for verifying the mass of an object that has already been measured.

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Answer:

Step-by-step explanation:

e) as given

a^p=b ------1

Taking power 'q' on both side (1) we get

a^pq=b^q

a^pq= c - - 2 (since b^q=c)

Now taking power 'r' on both side of equation 2

a^pqr=c^r

a^pqr=a (since c^r=a)

So we get

pqr=1 (answer)

The expected income from a randomly selected shake purchase is $2.80.

The probability distribution of the income on a randomly selected shake purchase is as follows:

- For the small size, the cost is $2.00, so the income would also be $2.00.
- For the medium size, the cost is $3.00, so the income would also be $3.00.
- For the large size, the cost is $3.50, so the income would also be $3.50.

Based on the previous data, the probability distribution shows the likelihood of each income amount occurring. To calculate the expected value (mean income), we multiply each income amount by its respective probability and sum them up. In this case, the expected value can be calculated as:

(Probability of small size) * (Income from small size) + (Probability of medium size) * (Income from medium size) + (Probability of large size) * (Income from large size)

Let's say the probabilities of small, medium, and large sizes are 0.3, 0.5, and 0.2 respectively. Plugging in the values:

(0.3 * $2.00) + (0.5 * $3.00) + (0.2 * $3.50)

= $0.60 + $1.50 + $0.70

= $2.80

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8 laps time 1/4 mile is 2 miles .

Average speed in miles per hour:

2 mi / 12.5 min * 60 min/hour = 9.6 mph

Average velocity is zero, since velocity is directional and the person jogged around a track. [I mention that in case this was set up as a trick question.]

But if we're really looking for average speed in m/s we can easily convert:

A mile is about 1.6 km, so it's about 1600 m.

(2 mi * 1600 m/mi) / (12.5 min * 60 s/min) = 1800 / 750 = 2.4 m/s

The directional speed of an item in motion, as measured by a specific unit of time and observed from a certain point of reference, is what is referred to as velocity.

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Answer:

(A) Acute Angle

Step-by-step explanation:

An acute angle is any angle less than 90 degrees,

an obtuse angle is any angle more than 90 degrees,

a right angle is exactly 90 degrees,

and a straight angle is 180 degrees.

I hope this helps!

The perimeter of a figure has a perimeter of 48 inches. After it is translated 5 units down and 1 unit left is 34 cm.

We describe what the perimeter is, how teachers introduce the subject to students in KS2, and the kinds of perimeter word problems students could encounter.

At this point, they would need to understand that a rectangle has two long sides that are exactly the same length and two short sides that are exactly the same length, which is why only two measurements are given above.

They could then work out the perimeter in any of the following ways:

10 + 4 + 10 + 4       OR           (10 x 2) + (4 x 2)          OR        (10 + 4) x 2

The perimeter of a shape is always calculated by adding up the length of each of the sides.

Since it must be the length of the bottom edge (9 cm) less the two top edges, you can determine that the unlabeled little side of the shape is 2 cm long in this instance (4cm and 3cm).

You would then need to sum up all the sides to get the perimeter:

4 + 5 + 9 + 6 + 3 + 3 + 2 + 2 = 34 cm.

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Answer:

34, 35, 36

Step-by-step explanation:

1st number = x

2nd number = x+1

3rd number = x+2

So the equation would be:

x+2(x+1)+(x+2)-7=133

x+2x+2+x+2-7=133

4x-3=133

4x=136

x=34

      Three consecutive numbers justifying the condition given in the statement will be 34, 35, 36.

Let three consecutive number are,

n, (n + 1), (n + 2)

First statement given,

" The sum of first number, twice the second number"

Expression for the statement → [n + 2(n + 1)]

Second statement → " 7 less than the third number"

Expression for the statement → (n + 2) - 7

Combine the expressions,

"The sum of first number, twice the second number and 7 less than the third number is 133"

Form the equation and simplify,

n + 2(n + 1) + (n + 2) - 7 = 133

n + 2n + 2 + n + 2 - 7 = 133

(n + 2n + n) + (2 + 2 - 7) = 133

4n - 3 = 144

4n = 136

n = 34

         Therefore, the numbers are,

                            1st number → n = 34

                            2nd number → (n + 1) = 35

                            3rd number → (n + 2) = 36

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Answer:

Step-by-step explanation:

Less and Greater? I don't know what the drop down menus say. Please don't report me. Can you take a pic of drop down menus for me to see?

The shape parameter of the Gamma distribution is 10 and the rate parameter is 15/4.

To determine the shape and rate parameters of the Gamma distribution, we need to relate it to the Poisson distribution.

In the Poisson distribution, the average rate (λ) is equal to the shape parameter (k) multiplied by the rate parameter (θ). In this case, the average rate is 4 calls per 15 minutes, so λ = 4/15.

For the Gamma distribution, the shape parameter (k) is equal to the number of phone calls (n),  and the rate parameter (θ) is equal to the reciprocal of the average rate (λ). Therefore, k = 10 and θ = 1/λ.

Substituting the value of λ, we have k = 10 and θ = 15/4.

So, the shape parameter of the Gamma distribution is 10 and the rate parameter is 15/4.

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Answer:

04c+06d=$8.50

Step-by-step explanation:

Answer:

You will make cross multiplication.

So, we will make 5 x 8 =40, then we will divide 40 by 10 which is equal to 4.

Hope it helps:D

Answer:

7.5 years because United States has mor thne 9 years