Although R-rated movies cannot be viewed by anyone under the age of 17 unless accompanied by a parent, movie studios survey children as young as 9 to gauge their reaction to R-rated movies. The interest in this age group is due to the fact that many under-17 year olds actually view these movies. The Motion Picture Association of America has indicated that while the 12 to 17 age group is only 10% of the population, they make up 17% of the movie audience. Another reason for the interest in youngsters is the tie-in with toys that can aim for children as young as 4 years. Merchandise marketed by Universal for their movie "Mummy" is aimed at the 4 to 14 age group.

Before movies appear on the screen, studios run preliminary tests. People are recruited out of movie lines or malls to participate in the preliminary screening in return for free movie tickets. The results of these tests can affect advertising, promotions and future sequels. People who saw the original movie are often surveyed during the planning phase of sequels to determine "...who are the most intense fans of the movie by age, gender, ethnicity, et cetera, and what drives their zeal." This information helps to guide the sequel.

Recently Columbia Tristar

interviewed 800 people who had seen the original thriller "I Still Know What You Did Last Summer". Five hundred of these moviegoers were in the 12 to 24 age group, with 100 in the 9 to 11 group. An additional 200 African-Americans and Latinos were included in the sample, 150 between 12 and 24 years and 50 in the 9 to 11 group. Questions about the original movie pertained to their favorite character, other liked characters, most memorable scene, favorite scene and scariest scene.

Before releasing "Disturbing Behavior", MGM/United Artists

previewed 30-second commercials among 438 people age 12 to 20. They found that viewers ranked the standout scene as a woman bashing her head into a mirror and they found that these commercials were the most effective among the 15 to 17 year olds.

Do you see sampling error playing any significant role in terms of make inference, statistically speaking from a researcher's perspective?

Answer:

T=9/2 alternate form T=4 1/2, T=4.5

Step-by-step explanation:

you have to divide both side

Answer: C

Step-by-step explanation:

Starting off we need to understand what the circles are in inequalities.

A closed circle means that the number on the inequality is included in the solution. An open circle means that the number in the inequality is not included in the solution. A closed circle would use \(\leq or \geq\). An open circle would use < or >.

So, using these processes, -2<x\(\leq\)7 would be the answer.

The greatest possible number of intersection points for four circles of different sizes is 12.

The greatest possible number of intersection points of four circles of different sizes can be calculated by considering the maximum number of intersection points each pair of circles can have and then summing them up.

When two circles intersect, they can have a maximum of two intersection points. So, if we have four circles, we can find the maximum number of intersection points by considering each pair of circles separately.

For the first circle, it can intersect with the other three circles at most two times each, giving us a total of 2 * 3 = 6 intersection points.

For the second circle, it can intersect with the remaining two circles at most two times each, giving us a total of 2 * 2 = 4 intersection points.

The third circle can intersect with the last remaining circle at most two times, giving us a total of 2 * 1 = 2 intersection points.

Finally, the fourth circle doesn't have any other circle left to intersect with, so it doesn't contribute any additional intersection points.

Now, we can sum up the intersection points from each pair of circles: 6 + 4 + 2 + 0 = 12.

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A jug holds 10 pints of milk. If each child gets one cup of milk, it can serve 20 children. To determine how many children can be served with the 10 pints of milk, we need to convert pints to cups and divide the total amount of milk by the amount each child will receive.

1. Convert 10 pints to cups:
Since there are 2 cups in a pint, we can multiply 10 pints by 2 to get the total number of cups.
10 pints x 2 cups/pint = 20 cups of milk.
2. Divide the total cups of milk by the amount each child will receive:
Since each child gets one cup of milk, we can divide the total cups of milk by 1 to find the number of children that can be served.
20 cups ÷ 1 cup/child = 20 children.
Therefore, the jug of milk can serve 20 children if each child receives one cup of milk.

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never true is always 180

True. The coefficient of variation is a better measure of risk than the standard deviation if the expected returns of the securities being compared differ significantly.

The coefficient of variation (CV) is a relative measure of risk that takes into account the standard deviation and the mean of a distribution. It is a better measure of risk than the standard deviation when comparing securities with significantly different expected returns because it adjusts for the differences in the means.

The CV is calculated as the ratio of the standard deviation to the mean, and it allows for the comparison of the risk of investments with different expected returns on a standardized basis. Therefore, it is a useful tool for investors who want to compare the risk of investments that have different levels of expected returns. However, it should be noted that the CV has limitations and should not be the sole measure of risk used in investment analysis.

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Answer:

1/274

Step-by-step explanation:

Solution 1: Use a fraction simplifier calculator :)

Solution 2: divide by 2 first, then test to find 13, and your there.

Answer: There are two answers ( just for explanation ) 1. 0.0036496350364964    2. 274

Step-by-step explanation:

1. If we do 26 divided by 7124 answer is = 0.0036496350364964  ( check the pic-div1, div2, div3 )

2. If we do 7124 divided by 26 answer is = 274 (check pics-div4, div5)

Answer:

2+1=3, 3-3=0

Step-by-step explanation:

The temperature drop is B. 3.968 degrees each hour.

The temperature drop per hour can be computed by dividing the total temperature drop by the number of hours over which the temperature dropped.

The total steady drop in temperature = 24.8 degrees

Total number of hours for the temperature drop = 6¹/₄ hours

6¹/₄ hours = 6.25 hours

Temperature drop per hour = total drop/total hours of drop

= 2(4.8 ÷ 6¹/₄ hours)

= 3.968 degrees

Thus, the temperature drop is B. 3.968 degrees each hour.

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Answer:

The angles supplementary to 1 are 2,3,6, and 7

The angles congruent to 1 are 4, 5, and 8

Step-by-step explanation:

Answer:

Angles supplementary to < 1: <2,3,6,and 7

Step-by-step explanation:

Answer:

flammable

Step-by-step explanation:

flash point, the lowest temperature at which a liquid (usually a petroleum product) will form a vapour in the air near its surface that will “flash,” or briefly ignite, on exposure to an open flame. The flash point is a general indication of the flammability or combustibility of a liquid.

The graphs of the quadratic expressions are added as attachment

Function 5

Given that

y = -x² + 8x - 14

The graph is added as an attachment and the solution is x = 2.59 and x = 5.41

Function 6

Given that

y = 1/2x² - x - 3

The graph is added as an attachment and the solution is x = -1.65 and x = 3.65

Function 7

Given that

y > x² + 6x + 5

The graph is added as an attachment and the solution is x values between -5 and -1 (exclusive)

Function 8

Given that

y ≤ 2x² - 4

The graph is added as an attachment and the solution is x values outside -1.414 and 1.414 (inclusive)

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The complete solution to the given ordinary differential equation (ODE)is:

\(y(x) = y_h(x) + y_p(x) = 5e^{6x} - 2e^{-2x} + 10e^{-2x} = 5e^{6x} + 8e^{-2x}\)

To solve the second-order ordinary differential equation (ODE) using the method of undetermined coefficients, we assume a particular solution of the form:

\(y_p(x) = A e^{-2x}\)

where A is a constant to be determined.

Next, we find the first and second derivatives of \(y_p(x)\):

\(y_p'(x) = -2A e^{-2x}\\y_p''(x) = 4A e^{-2x}\)

Substituting these derivatives into the original ODE, we get:

\(4A e^{-2x} - 4(-2A e^{-2x}) - 12(A e^{-2x}) = 10e^{-2x}\)

Simplifying the equation:

\(4A e^{-2x} + 8A e^{-2x} - 12A e^{-2x} = 10e^{-2x}\)

Combining like terms:

\((A e^{-2x}) = 10e^{-2x}\)

Comparing the coefficients on both sides, we have:

A = 10

Therefore, the particular solution is:

\(y_p(x) = 10e^{-2x}\)

To find the complete solution, we need to find the homogeneous solution. The characteristic equation for the homogeneous equation y'' - 4y' - 12y = 0 is:

r² - 4r - 12 = 0

Factoring the equation:

(r - 6)(r + 2) = 0

Solving for the roots:

r = 6, r = -2

The homogeneous solution is given by:

\(y_h(x) = C1 e^{6x} + C2 e^{-2x}\)

where C1 and C2 are constants to be determined.

Using the initial conditions y(0) = 3 and y'(0) = -14, we can solve for C1 and C2:

y(0) = C1 + C2 = 3

y'(0) = 6C1 - 2C2 = -14

Solving these equations simultaneously, we find C1 = 5 and C2 = -2.

Therefore, the complete solution to the given ODE is:

\(y(x) = y_h(x) + y_p(x) = 5e^{6x} - 2e^{-2x} + 10e^{-2x} = 5e^{6x} + 8e^{-2x}\)

The question is:

Use the method of undetermined coefficients to solve the second order ODE y'' - 4 y' - 12y = 10\(e ^{- 2x}\), y(0) = 3, y' (0) = - 14

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Answer:

x=7

Step-by-step explanation:

8-2=6

6times180=1080

1080dividedby8=135

135-23=112

112/16=7

(a) The number of slack variables needed is equal to the number of constraints in the problem. In this case, there are two constraints, so two slack variables are needed.

(b) The slack variables can be named as follows:

- Slack variable 1 (s1) corresponds to the first constraint: 8x + 7x2 + 14x3 ≤ 185

- Slack variable 2 (s2) corresponds to the second constraint: 2x + 7x2 + 10x3 = 212

(c) To convert each constraint into a linear equation using slack variables:

- The first constraint, 8x + 7x2 + 14x3 ≤ 185, can be converted by introducing slack variable s1:

  8x + 7x2 + 14x3 + s1 = 185

- The second constraint, 2x + 7x2 + 10x3 = 212, remains as is since it is already a linear equation.

Therefore, the equations using slack variables are:

8x + 7x2 + 14x3 + s1 = 185

2x + 7x2 + 10x3 = 212

The options provided in the question are not clear and may contain repeated or incorrect choices. The correct answers for (a), (b), and (c) are:

(a) Two slack variables are needed.

(b) The slack variables should be named as s1 and s2.

(c) The equation using a slack variable that corresponds to the first constraint is 8x + 7x2 + 14x3 + s1 = 185.

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Answer:

D : x² + y² = 64

Step-by-step explanation:

x² + y² = 8²

x² + y² = 64

therefore, your answer is 64

Answer:

D

Step-by-step explanation:

The circle equation is (x-h)² + (x-k)² = r²

Where (h,k) is the center of the circle and r is the radius

Since the center of this circle is at the origin and the radius is 8,

the equation will be x² + y² = 64

Answer:

Step-by-step explanation:

10 to the power 2 is 100. So just multiply 100 x 75 and you get 7500.

So your answer is 7500 pounds of food in 100 days

Can I have brainlyist?

Hope it helps :D

Answer:

steps below

Step-by-step explanation:

2 kinds of larger shapes can be make

kind 1: 18 x 4 x 3 = 216 cm

kind 2: 18 x (5+5+4) = 252 cm

The perimeter of the larger shape formed by putting three regular hexagons together is 216 cm.

When three regular hexagons are put together to form a larger shape, they form a regular hexagon with an equilateral triangle at each end.

The perimeter of the larger shape can be calculated as follows:

Perimeter of larger shape = Perimeter of hexagon + Perimeter of equilateral triangle

Since the hexagon has six sides of equal length, its perimeter is \(\(6 \times 18 \, \text{cm} = 108 \, \text{cm}\)\).

Each equilateral triangle has three sides of equal length, and each side of the equilateral triangle is equal to one side of the hexagon.

So, the perimeter of each equilateral triangle is \(\(3 \times 18 \, \text{cm} = 54 \, \text{cm}\)\).

Since there are two equilateral triangles, the total perimeter contributed by the equilateral triangles is \(\(2 \times 54 \, \text{cm} = 108 \, \text{cm}\)\).

Finally, to find the perimeter of the larger shape, add the perimeters of the hexagon and the two equilateral triangles:

Perimeter of larger shape = 108 cm + 108 cm = 216 cm

Thus, the perimeter of the larger shape is \(\(216 \, \text{cm}\)\).

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Answer:

L = 20 inches

Step-by-step explanation:

w = width

L = length

area = 120

W x L = 120

L - 8 = 2W  then L = 2W + 8

substitute for L:

W x (2W + 8) = 120

2W² + 8W -120 = 0

(2W - 12)(W + 10) = 0

2W-12 = 0

2W = 12

W = 6

L = 20

The probability that the first card drawn is a 6 and the second card drawn is a 7 is (1/13) × (4/51) = 4/663 or approximately 0.006.

The probability that the first card drawn is a 6 is 4/52 or 1/13 since there are four 6's in the deck and 52 cards in total. The probability that the second card drawn is a 7 given that the first card drawn was a 6 is 4/51 since there are now only three 7's left in the deck and only 51 cards left to choose from.

Therefore, the probability that the first card drawn is a 6 and the second card drawn is a 7 is (1/13) × (4/51) = 4/663 or approximately 0.006.

To compute the probability of two events occurring together, we multiply their individual probabilities if the events are independent, which is the case here since the cards are drawn without replacement.

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Answer:

\(375001\) police officers

Step-by-step explanation:

\(\frac{30,000}{25,000} = \frac{30}{25} = \frac{120}{100} = 1.2\)

That's a 20% increase.

So increase the police by 20% gets you:

\(312500 * 1.2 = 375000\)

Based on the wording of the question, if you want a greater percentage, the answer should be a single policeman more, thus 375,001.

Answer:

45°

Step-by-step explanation:

-45° would be 360°-45°=315°

Since 315° is in Quadrant IV, then its reference angle is 360°-315°=45°

So really, -45° is just 45° clockwise which is also our reference angle.

Answer:

Rectangle

Parallelogram

Step-by-step explanation:

The ratio 3:1:3:1 shows that lengths of opposite sides of the quadrilateral are equal.

So, the possible names for the quadrilateral are rectangle, parallelogram.

Step-by-step explanation:

We have sinA = 4/5 and sinB = 7/25.

=> cosA = sqrt(1 - sin²A) = 3/5

=> cosB = sqrt(1 - sin²B) = 24/25

P.S. Cosine must be positive in Quadrant I.

sin(A - B)

= sinAcosB - cosAsinB

= (4/5)(24/25) - (3/5)(7/25)

= 75/125 = 3/5. (Shown)

The majority of business owners avoid flood insurance.

Inferential statistics enables you to draw conclusions ("inferences") from descriptive statistics, which describes data (such as a chart or graph). Using inferential statistics, you can draw conclusions about a population using data from samples. Using inferential statistics, you can try to discover whether the sample data from a tiny sample of people can forecast whether the medication will be effective for everybody (i.e. the population). There are several techniques to accomplish this, including post-hoc (advanced) testing and generating a z-score, which shows where your data would fall in a normal distribution.

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Answer:

Step-by-step explanation:

You want the area of a 16-unit circle using different values for pi.

The formula for the area of a circle is ...

  A = πr² . . . . . . where r is half the diameter

For the different values of pi, this will be (in square units) ...

  π(8²) = 64π . . . . exact

  3.14(8²) = 200.96 . . . . using 3.14 for π, slightly low

  22/7(8²) = 201 1/7 . . . . using 22/7 for π, slightly high

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Answer:

The rate of change in the table is 78 students per year

Step-by-step explanation:

Here, we want to get the rate of change of the function

Mathematically, we can get this by using the formula;

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

(x1,y1) and (x2,y2) are points we are to select from the table

Let us select the point (4,704) and (17,1718) from the table

The slope is thus;

m = (1718-704)/(17-4) = 78 students per year

The formula for the exponential function passing through the points (-3, 3/25) and (1, 15) is:
f(x) = 15 * 5^x

To find a formula for the exponential function passing through the points (-3, 3/25) and (1, 15), we can start by using the general form of an exponential function, which is f(x) = ab^x, where a is the initial value and b is the growth factor. Using the two given points, we can form two equations:

3/25 = ab^(-3)
15 = ab

We can solve for a and b by first dividing the second equation by the first equation:

15 / (3/25) = ab / (ab^(-3))

Simplifying, we get:

125 = b^3

Taking the cube root of both sides, we get:

b = 5

Substituting this value into one of the original equations, we can solve for a:

3/25 = a(5)^(-3)
a = 3/25 * 125 = 15

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Answer:

The width of the banner is 4 inch and the length of the banner is  28 inch

Step-by-step explanation:

Given

Length is seven times its width

Let the width be "X", then length would be 7X

The banner is of rectangular shape.

Its area is 112 square inches

\(X* 7X = 112\\7X^2 = 112\\X^2 = 16\\X = 4\)

Hence, the width of the banner is 4 inch and the length of the banner is 4*7 i.2 28 inch