If the average ticket price for movie A in its first week was 1.4 times the average ticket price in its third week, what was the average ticket price for movie A in its first week?

The finite population correction factor is used in computing the standard error of the sample mean when the sample size is smaller than 5% of the population size.

The finite population correction factor is a adjustment made to the standard error of the sample mean when the sample is taken from a finite population, rather than an infinite population.

It accounts for the fact that sampling without replacement affects the variability of the sample mean.

When the sample size is relatively large compared to the population size (more than half), the effect of sampling without replacement becomes negligible, and the finite population correction factor is not necessary.

In this case, the standard error of the sample mean can be estimated using the formula for sampling with replacement.

On the other hand, when the sample size is small relative to the population size (less than 5%), the effect of sampling without replacement becomes more pronounced, and the finite population correction factor should be applied.

This correction adjusts the standard error to account for the finite population size and provides a more accurate estimate of the variability of the sample mean.

Therefore, the correct answer is option 2: the finite population correction factor is used when the sample size is smaller than 5% of the population size.

Learn more about mean here:

https://brainly.com/question/31101410

#SPJ11

Answer:

9.24

Step-by-step explanation:

Answer:

There is no answer because we dont know how many square inches his moms present is.

The value of x is (d) 1

The angle ABC is given as:

∠ABC = 43x

The line AB touches the tangent line BC at point B.

However, the line AB is not a radius.

This means that:

∠ABC < 90

So, we have

43x < 90

Divide by 43

x < 2.09

From the list of options, the number less than 2.09 is 1

Hence, the value of x is (d) 1

Read more about angles at:

https://brainly.com/question/23247585

#SPJ1

Answer: V≈1642 cm³.

Step-by-step explanation:

D=20 cm      d=12 cm      h=8 cm       V=?

\(R=\frac{D}{2}=\frac{20}{2} =10 \ (cm).\\ r=\frac{d}{2}=\frac{12}{2}=6 \ (cm).\\ \boxed {V=\frac{1}{3} *\pi *h*(R^2+R*r+r^2)} \ \ \ \ \ \Rightarrow\\V=\frac{1}{3}*\pi *8*(10^2+10*6+6^2)\\V=\frac{1}{3}*\pi *8*(100+60+36)\\ V=\frac{8}{3} *\pi *196\\V=\frac{8*196*\pi }{3} \\V\approx1642\ cm^3.\)

Answer:

d

Step-by-step explanation:

Classical approach traces back to the field where probability was first systematically employed, which is gambling (flipping coins, tossing dice and so forth). Gambling problems are characterized by random experiments which have n possible outcomes, equally likely to occur. It means that none of them is more or less likely to occur than other ones, hence they are said to be in a symmetrical position.

Answer: 960 crayons

Step-by-step explanation:

From the question, we are informed that Mr Andrew bought 15 boxes of crayons at the store to share with his students and that each box contains 64 crayons.

The equation that represents ​c​, the total number of crayons that Mr. Andrew bought will be:

C = 15 × 64

= 960 crayons

ƒ^(-1)(ƒ(x)) ≠ x. In conclusion, we have found the inverse function of ƒ(x) = x^2 - 7 for x ≥ 0 to be ƒ^(-1)(x) = √(x + 7). However, it does not satisfy the property of ƒ^(-1)(ƒ(x)) = x for all values of x

To find the inverse function of ƒ(x) = x^2 - 7 for x ≥ 0, we can follow these steps:

Step 1: Replace ƒ(x) with y:

y = x^2 - 7

Step 2: Swap x and y:

x = y^2 - 7

Step 3: Solve for y:

x + 7 = y^2

√(x + 7) = y

Step 4: Replace y with ƒ^(-1)(x):

ƒ^(-1)(x) = √(x + 7)

Now, let's verify the inverse function:

To verify ƒ(ƒ^(-1)(x)) = x:

ƒ(ƒ^(-1)(x)) = (√(x + 7))^2 - 7

ƒ(ƒ^(-1)(x)) = (x + 7) - 7

ƒ(ƒ^(-1)(x)) = x

Therefore, we have verified that ƒ(ƒ^(-1)(x)) = x.

Now, let's verify ƒ^(-1)(ƒ(x)) = x:

ƒ^(-1)(ƒ(x)) = ƒ^(-1)(x^2 - 7)

ƒ^(-1)(ƒ(x)) = √(x^2 - 7 + 7)

ƒ^(-1)(ƒ(x)) = √x^2

ƒ^(-1)(ƒ(x)) = |x|

The result is the absolute value of x, which is not equal to x for all values of x.

Therefore, ƒ^(-1)(ƒ(x)) ≠ x.

In conclusion, we have found the inverse function of ƒ(x) = x^2 - 7 for x ≥ 0 to be ƒ^(-1)(x) = √(x + 7). However, it does not satisfy the property of ƒ^(-1)(ƒ(x)) = x for all values of x.

Learn more about inverse function here:

https://brainly.com/question/29141206

#SPJ11

The floating-point literal that correctly represents the scientific notation value: 2.3 x 10^7 will be A. 2.3e^7.

It should be noted that scientific notation simply means. way that's used to express numbers that are either too large or too small to be written in decimal form.

Therefore, it should be noted that the floating-point literal that correctly represents the scientific notation value: 2.3 x 10^7 will be:

= 2.3 × 20^7

= 2.3 × e^7

= 2.3e7

The correct option is A.

Learn more about scientific notation on:

brainly.com/question/106363

#SPJ1

Which floating-point literal correctly represents the scientific notation value: 2.3 x 10^7?

a. 2.3e^7

b. 2.3 × 10e^7

c. 2.3e × 10^7

d. 2.3 × e^7

1.6256 Meters in 5 foot 4 inches

To learn more about convert feet to inches refers to:

brainly.com/question/1048826

#SPJ4

There are 1.6256 Meters in 5 foot 4 inches

As a result, multiplying a measurement by 12 will convert it from feet to inches. Since it is an exact number, there will be no restrictions on utilising significant figures.

Conversion of feet to inches where both length measurement units are in the imperial system. the standard unit for centimetre length measurements. Twelve inches are equivalent to one foot.

This is also how tall I am because I'm 5'7". I would first convert the feet to inches using the closest I can remember conversion factor of 2.54 centimetres to 1 inch.

To learn more about convert feet to inches refers to:

brainly.com/question/1048826

#SPJ4

These three vectors satisfy proj_w u = proj_w v = ⟨0, 2, 5⟩.

To find three different nonzero vectors u, v, and w in R^3 such that proj_w u = proj_w v = ⟨0, 2, 5⟩, we can use the properties of vector projection and the given information.

Let's start by finding u and v.

We know that the projection of vector u onto vector w is ⟨0, 2, 5⟩, so we can write:

proj_w u = (u · w) / ||w||² * w = ⟨0, 2, 5⟩

Since the dot product (u · w) is involved, we can choose any vector u that is orthogonal to ⟨0, 2, 5⟩. For simplicity, let's choose u = ⟨1, 0, 0⟩.

Now, let's find v.

We know that the projection of vector v onto vector w is also ⟨0, 2, 5⟩, so we can write:

proj_w v = (v · w) / ||w||² * w = ⟨0, 2, 5⟩

Again, we can choose any vector v that is orthogonal to ⟨0, 2, 5⟩. Let's choose v = ⟨0, 1, 0⟩.

Now, we have u = ⟨1, 0, 0⟩ and v = ⟨0, 1, 0⟩. To find vector w, we need to ensure that the projections of both u and v onto w are equal to ⟨0, 2, 5⟩.

For proj_w u, we have:

(1a + 0b + 0c) / (a² + b² + c²) * ⟨a, b, c⟩ = ⟨0, 2, 5⟩

Simplifying, we get:

a / (a² + b² + c²) * ⟨a, b, c⟩ = ⟨0, 2, 5⟩

From the x-component, we have:

a / (a² + b² + c²) * a = 0

This equation suggests that a must be 0 since we want a non-zero vector. Therefore, a = 0.

Now, we have:

0 / (0² + b² + c²) * ⟨0, b, c⟩ = ⟨0, 2, 5⟩

From the y-component, we have:

b / (b² + c²) = 2

From the z-component, we have:

c / (b² + c²) = 5

Solving these two equations simultaneously, we can find suitable values for b and c. One possible solution is b = 1 and c = 5.

Therefore, we have the following vectors:

u = ⟨1, 0, 0⟩

v = ⟨0, 1, 0⟩

To know more about vectors,

https://brainly.com/question/31393456

#SPJ11

The reduction of the fraction is (y-3)/4.

Suppose the fraction is proper (the numerator is smaller than the denominator).

Let it be \(\dfrac{a}{b}\)

Then, we can interpret it as:

\(\dfrac{a}{b}\)= a parts out of b parts of a thing.

There is a fraction, containing numerator(upper value) and denominator(lower value).

When the numerator is less than the denominator, the fraction is called proper fraction, otherwise it is called improper fraction.

A proper fraction is also called fraction which is less than 1.

And an improper fraction is ≥ 1

A mixed fraction contains a sum of whole number and a proper fraction.

Given;

=y^2-9/4y+12

=y^2-3^2/4(y+3)

=(y+3)(y-3)/4(y+3)

=y-3/4

Therefor, the answer of fraction will be (y-3)/4

Learn more about fraction here:

https://brainly.com/question/27010538

#SPJ1

Answer:

-10

Step-by-step explanation:

yea i just did a test

Answer:

3 / 5x^6y^6

Step-by-step explanation:

= -9x^-1y^-9/-15x^5y^-3

= -9y-9 / -15x^6y^-3

= -9 / -15x^6y^6

= 3 / 5x^6y^6

Answer:

b on edge

Step-by-step explanation:

The statement "It is rigid because all side lengths and angles are congruent" is true.

In mathematics, a transformation is considered rigid if it preserves distances and angles. For example, a translation, rotation, or reflection is a rigid transformation because it preserves distances and angles. If a transformation preserves side lengths and angles, then it is considered rigid, regardless of whether the side lengths and angles are congruent or not.

Answer: A. it is rigid because all side lengths and angles are congruent.

Step-by-step explanation: RIGHT ON EDGE 2023

The Polynomial of degree 3 with three distinct real zeros and a positive leading coefficient is P(x) = x³ - x

Let the distinct real zeros of the required polynomial be 0, 1 and -1.

The equivalent factors will be x(x-1)(x+1)

To get the required polynomial, we will take the product of the factors as shown:

P(x) = x(x-1)(x+1)

P(x) = (x+1)(x-1)x

P(x) = x(x²-1)

P(x) = x³ - x

Hence the Polynomial of degree 3 with three distinct real zeros and a positive leading coefficient is P(x) = x³ - x

Learn more here: https://brainly.com/question/16821812

Answer:

2000 feet

Step-by-step explanation:

200*2=400

800*2=1600

400+1600=2000

Answer: 2.456  x 10 to the power 11

Step-by-step explanation: Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the  10 . If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.

Answer:

2.456  x 10 to the power 11

Step-by-step explanation:

Answer:

2.56167

Step-by-step explanation:

You can simply use the laws of indices

Therefore, the answer is option (a) 2.56197 x 10¹⁹.To find the sum of 2.53 x 10¹⁹ and 3.197 x 10¹⁷, we need to add the numbers and then write the answer in scientific notation.

We follow the following steps to perform the addition:Step 1: Make sure that the numbers are written in scientific notation. If not, rewrite them in scientific notation.Step 2: Match the exponents of the two numbers by moving the decimal point to the right or left of the number as needed, and then perform the addition. Step 3: Write the answer in scientific notation if necessary.Long Answer:Given, the two numbers are:2.53 x 10¹⁹ and 3.197 x 10¹⁷Step 1:

The given numbers are already in scientific notation.Step 2: Match the exponents by moving the decimal point to the right of the second number by two places:2.53 x 10¹⁹ + 0.03197 x 10¹⁹ (multiply the second number by 100 by moving the decimal point to the right twice)Now we can add the numbers without changing the exponent.2.53 x 10¹⁹ + 0.03197 x 10¹⁹ = 2.56197 x 10¹⁹ (add the coefficients)Therefore, the answer is option (a) 2.56197 x 10¹⁹.

To know more about exponent. Visit:

https://brainly.com/question/5497425

#SPJ11

Approximately 8.89 gallons of lemonade is needed to make 20 gallons of the special lemonade punch is the answer.

To find out how many gallons of lemonade is needed for 20 gallons of the special lemonade punch, it's essential to use the ratio that the secret recipe calls for, which is 2 gallons of lemonade for every 3 gallons of strawberry soda.

As the total amount of lemonade punch needed is 20 gallons, we can calculate the amount of strawberry soda required by breaking down 20 gallons into the ratio of 2 gallons of lemonade for every 3 gallons of strawberry soda.

This can be done using cross-multiplication as shown below: 2/3 = x/20 (where x is the amount of strawberry soda needed)Cross-multiplying, we get: 3x = 40x = 40/3 gallons of strawberry soda (approx. 13.33 gallons)

Now, using the same ratio, we can find out the amount of lemonade needed.2/3 = y/13.33 (where y is the amount of lemonade needed)

Cross-multiplying, we get:3y = 26.66y = 26.66/3 gallons of lemonade (approx. 8.89 gallons)

Therefore, approximately 8.89 gallons of lemonade is needed to make 20 gallons of the special lemonade punch.

know more about cross-multiplication

https://brainly.com/question/27812904

#SPJ11

Answer:  price of total notebooks = p(a+b+c) or pa+pb+pc= price of total notebooks

Step-by-step explanation:

you have to add all the number of notebooks or a b and c and then multiply it by the price of each notebook. there are multiple ways to do this but those are the ways I could think of.

 if a=2, b=3 and c=6 then you have to add 2+3+6 to equal 11 then multiply 11 by the price of each notebook, say p=$4.50  your equation would be 4.50*11 which is $49.50, and that would be the total of all the notebooks. these numbers metaphorical of course, but hope that puts it into perspective.

Answer:

He is 47 feet below the surface

Step-by-step explanation:

The surface is zero, so the diver goes down -96 feet and then comes back up positive 49 feet, so we can write the math problem and solve:

-96 + 49

We are adding a negative and a positive so we do the following

a.) subtract the smaller integer from the larger

96 - 49 = 47

b.) use the sign from the larger integer (was negative) on the answer

-47

Answer: the car is cheeper 20 miles better

Step-by-step explanation:

The percentage of the data values in the box-and-whiskers plot, that are greater than or equal to 92, which is the 75th percentile, based on the five number summary, are 25 percent of the data.

The five number summary of a box-and-whiskers plot are value of the minimum, the first quartile, the median, the third quartile and the maximum value of the set of data.

Please find attached the possible box-and-whiskers plot in the question, obtained from a similar question on the internet

The five number summary from the box-and-whiskers plot are;

Minimum value = 82

The first quartile or the 25th percentile = 87

The median, second quartile or the 50th percentile = 90

The third quartile or the 75th percentile = 92

The value 92 on the data represents the 75th percentile, therefore, the percentage of the data that are greater than or equal to 92 are; 100 - 75 = 25 percent

Learn more on box-and-whiskers plots here: https://brainly.com/question/973515

#SPJ1

Answer:

The rigid transformation that takes AEFB to CFED can be described as a reflection across line EF, or a rotation of 180 degrees counterclockwise or clockwise around point G1.

Since trapezoid AEFB is congruent to trapezoid CFED, we can transform AEFB onto CFED using a rigid transformation. Since G is the midpoint of segment E F D E B C, it is the center of rotation or the point of reflection.

Option a is correct because reflecting AEFB across line EF will result in CFED.

Option b is correct because rotating AEFB 180 degrees counterclockwise around point G will result in CFED.

Option c is correct because rotating AEFB 180 degrees clockwise around point G will also result in CFED.

Option d is incorrect because translating AEFB by the directed line segment from F to E and then reflecting across line FF will not result in CFED.

Option e is incorrect because translating AEFB by the directed line segment from F to E and then rotating 180 degrees clockwise around point E will not result in CFED.

Therefore, the correct options are a, b, and c.

Answer:

The percentile rank of someone who earns $75,000 per year is the 85th percentile.

Step-by-step explanation:

Meaning of percentile:

When a value V is said to be in the xth percentile of a set, x% of the values in the set are lower than V and (100-x)% of the values in the set are higher than V.

In this question:

Working population of 10,500

8,925 people earn less than $75,000 per year.

8925/10500 = 0.85

0.85*100 = 85

The percentile rank of someone who earns $75,000 per year is the 85th percentile.

There are 28 ways to choose 6 teams for the playoffs if there are 8 college basketball teams in a certain sub-division.

To determine the number of ways to choose 6 teams for the playoffs out of the 8 college basketball teams in a certain Sub-Division, we can use the combination formula. The formula for combinations is given by

nCr = n! / (r! * (n-r)!),

where n represents the total number of teams and r represents the number of teams to be chosen.

In this case, n = 8 and r = 6.

Plugging in these values, we have

8C6 = 8! / (6! * (8-6)!) = 8! / (6! * 2!) = (8 * 7) / (2 * 1) = 28.

Therefore, there are total 28 ways to choose 6 teams.

To know more about ways refer here:

https://brainly.com/question/4318885

#SPJ11