Dixie Showtime Movie Theaters, Inc., owns and operates a chain of cinemas in several markets in the southern U.S. The owners would like to estimate weekly gross revenue as a function of advertising expenditures. Data for a sample of eight markets for a recent week follow.MarketWeekly Gross Revenue($100s)Television Advertising($100s)Newspaper Advertising($100s)Mobile101.351.5Shreveport51.933Jackson74.841.5Birmingham126.24.34.3Little Rock137.83.64Biloxi101.43.52.3New Orleans237.858.4Baton Rouge219.66.95.8(a)Use the data to develop an estimated regression with the amount of television advertising as the independent variable.Let x represent the amount of television advertising.If required, round your answers to four decimal places. For subtractive or negative numbers use a minus sign even if there is a + sign before the blank. (Example: -300)= + xTest for a significant relationship between television advertising and weekly gross revenue at the 0.05 level of significance. What is the interpretation of this relationship?The input in the box below will not be graded, but may be reviewed and considered by your instructor.(b)How much of the variation in the sample values of weekly gross revenue does the model in part (a) explain?If required, round your answer to two decimal places.%(c)Use the data to develop an estimated regression equation with both television advertising and newspaper advertising as the independent variables.Let x1 represent the amount of television advertising.Let x2 represent the amount of newspaper advertising.If required, round your answers to four decimal places. For subtractive or negative numbers use a minus sign even if there is a + sign before the blank. (Example: -300)= + x1 + x2Is the overall regression statistically significant at the 0.05 level of significance? If so, then test whether each of the regression parameters β0, β1, and β2 is equal to zero at a 0.05 level of significance. What are the correct interpretations of the estimated regression parameters? Are these interpretations reasonable?The input in the box below will not be graded, but may be reviewed and considered by your instructor.(d)How much of the variation in the sample values of weekly gross revenue does the model in part (c) explain?If required, round your answer to two decimal places.%(e)Given the results in part (a) and part (c), what should your next step be? Explain.The input in the box below will not be graded, but may be reviewed and considered by your instructor.(f)What are the managerial implications of these results?The input in the box below will not be graded, but may be reviewed and considered by your instructor.

Answers

Answer 1

The results of the regression analysis indicate that television and newspaper advertising are both important in driving weekly gross revenue. This means that the owners of Dixie Showtime can use the results of the regression analysis to make informed decisions about their advertising budgets in order to maximize their weekly gross revenue.

The results of part (a) and part (c) indicate that advertising plays a significant role in the weekly gross revenue of Dixie Showtime Movie Theaters, Inc. The results of the regression analysis indicate that television and newspaper advertising are both important in driving weekly gross revenue. This means that the owners of Dixie Showtime can use the results of the regression analysis to make informed decisions about their advertising budgets in order to maximize their weekly gross revenue. They can allocate their advertising budget based on the amount of impact each form of advertising has on their weekly gross revenue. Additionally, the owners can use the results of the regression analysis to determine the amount of weekly gross revenue they will generate based on their chosen advertising budget.

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Related Questions

Cam and Uma have boxes of cereal. The equation y = -1.25x + 15
represents the number of ounces of cereal, y, left in Cam's box after he has x servings. Uma's box contains 12.75 ounces of cereal. Each serving is 0.75 ounces. Which statement is true?

A) There are 5 more servings of Uma's cereal than of Cam's cereal.

B) There are 5 more servings of Cam's cereal than of Uma's cereal.

C) There are 0.75 more servings of Uma's cereal than of Cam's cereal.

D) There are 0.75 more servings of Cam's cereal than of Uma's cereal.

Answers

There are 5 more servings of Uma's cereal than of Cam's cereal.

How to determine the true statement

From the question, we have the following parameters that can be used in our computation:

y = -1.25x + 15

For Uma;s box, we have

Initial = 12.75

Rate = 0.75

This means that

y = -0.75x + 12.75

Set y = 0 and solve for x

y = -1.25x + 15 = 0

1.25x = 15

x = 12

y = -0.75x + 12.75 = 0

0.75x = 12.75

x = 17

By comparison, we have

17 - 12 = 5

Hence, there are 5 more servings of Uma's cereal than of Cam's cereal.

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which fration is greater than 3\4

Answers

Answer: There are infinitely many fractions that are greater than 3/4. Any fraction whose numerator is greater than three and whose denominator is greater than four will be greater than 3/4. Here are a few examples:

4/5 is greater than 3/4

5/6 is greater than 3/4

6/8 (which simplifies to 3/4) is not greater than 3/4, but any fraction greater than 6/8 will be greater than 3/4. For example, 7/8, 8/9, 9/10, and so on.

In general, to determine whether a fraction is greater than 3/4, you can compare its numerator and denominator. If the numerator is greater than the denominator times 3/4 (which is the same as multiplying the denominator by 3/4 and comparing it to the numerator), then the fraction is greater than 3/4.

Step-by-step explanation:

You need a 40% alcohol solution. On hand, you have a 120 mL of a 5% alcohol mixture. You also have 55% alcohol mixture. How much of the 55% mixture will you need to add to obtain the desired solution?

Answers

In order to create a 40% alcohol solution, we must combine 280 mL of 55% alcohol combination with 120 mL of the 5% alcohol mixture.

How does drinking affect the body?

Alcohol can change how the brain functions and appears by interfering with the body's communication networks. In addition to altering attitude and behaviour, these disturbances can also make it more difficult to think effectively and move to coordination.

Let's designate the quantity of a mixture of 55% booze that needs to be added "x" (in mL).

We know that the finished solution must contain 40% pure alcohol by volume in order to achieve our goal of a 40% alcohol solution.

The amount of pure alcohol in the 120 mL of 5% alcohol mixture is:

0.05 * 120 = 6 mL

When we add "x" mL of the 55% alcohol mixture, we will add:

0.55x mL of pure alcohol

In the end, we want the total amount of pure alcohol in the final solution to be:

0.40 * (120 + x) mL

Now we can set up an equation:

0.55x + 6 = 0.40(120 + x)

Simplifying and solving for "x", we get:

0.55x + 6 = 48 + 0.40x

0.15x = 42

x = 280

So we need to add 280 mL of the 55% alcohol mixture to the 120 mL of 5% alcohol mixture to obtain a 40% alcohol solution.

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Determine if the sequence is geometric. If it is, find the common ratio. If there is no ratio, write none. −3, −15, −75, −375,

Answers

Answer:

Common Ratio = 5

Step-by-step explanation:

See picture below :)

Calculate the value of x to one decimal place

Answers

The value of x to one decimal place in the given question is 30.33 and 14.76.

What are trigonometric identities?

Trigonometric identities are the functions that include trigonometric functions such as sine, cosine, tangents, secant, and, cot. Trigonometric ratio can be defined in terms of ratios of perpendicular, bases and hypotenuse. These are defined only in right angled triangles (triangles whose one angle is of 90 degree measure).

We are given that;

In triangle 1

Hypotenuse= x

Perpendicular=27

Angle between base and hypotenuse= 63

In triangle 2

Hypotenuse= 18

Base= x

Angle between hypotenuse and base=35

Now in triangle 1

sin63= 27/x

0.89=27/x

x=27/0.89

x=30.33

In triangle 2

cos35=x/18

0.82=x/18

x=14.76

Therefore by trigonometric identities the answer will be 30.33 and 14.76.

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How to calculate 19 divided by 20 using long division?

Answers

By using the long division method, the result of 19 divided by 20 is 0.95

Long division is a method of dividing two numbers using a step-by-step process of repeatedly dividing the dividend (the number being divided) by the divisor (the number you are dividing by), writing down the results of each step, and subtracting the remainder from the next dividend.

Here, 19 divided by 20

The picture shows the division process

To divide 19 by 20 using long division, you start by dividing 20 into the first digit of 19, which is 1. The result is 0 with a remainder of 1.

Then bring down the next digit, which is 9, and place it next to the remainder to make 19. You then divide 20 into 19, which gives you 0 with a remainder of 19.

Therefore, 19 divided by 20 is 0.95

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What is 20:00 in military time?

Answers

Answer:

20:00 is 8:00 pm


Step-by-step explanation:

an easy way to remember is subtract 2 from the military timing and the number in the ones value is the time.

Ex.

14:00

14 - 2= 12

So it’s 2: 00 pm


20- 2= 18

So it’s 8:00 pm

in a recent baseball season, ron was hit by pitches 22 times in 615 plate appearances during the regular season. assume that the probability that ron gets hit by a pitch is the same in the playoffs as it is during the regular season. what is the probability that ron gets his first hit-by-pitch of the playoffs in his first 15 plate appearances? use a ti-83, ti-83 plus, or ti-84 calculator to find the probability. round your answer to three decimal places.

Answers

The probability that Ron gets his first hit-by-pitch of the playoffs in his first 15 plate appearances is 52.34%

What is probability?

A probability is a number that reflects the chance or likelihood that a particular event will occur. Probabilities can be expressed as proportions that range from 0 to 1, and they can also be expressed as percentages ranging from 0% to 100%.

Given that, in a recent baseball season, Ron was hit by pitches 22 times in 615 plate appearances during the regular season.

We need to find the probability that Ron gets his first hit-by-pitch of the playoffs in his first 15 plate appearances.

The random variable X= number of times Ron is hits by pitches in 22 plate appearances  follows, a binomial distribution.

P(X=x) = n! / (x!(n-x)!)pˣ(1-p)ˣ

where,

n = plate appearances = 22

p = probability of being hit by pitches = 15 / 615 = 3 / 123 = 1/41

x = number of successes = 1

Substitute the values :-

P(X=1) = 22! / (22-1)! × (1/41)(40/41)

= 0.5234

= 52.34%

Hence, the probability that Ron gets his first hit-by-pitch of the playoffs in his first 15 plate appearances is 52.34%

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realiza la inversa de la siguiente función f(x)=x+2/x-3

Answers

The inverse function {f⁻¹(x)} for the function f(x) is -

f⁻¹(x) = (3x + 2)/(x - 1)

What is algebraic expression?

An algebraic expression is a combination of terms both constants and variables. For example -

2x + 3y + z

3x + y

Given is the function f(x) as -

f(x) = (x + 2)/(x - 3)

We can write the function f(x) as -

f(x) = (x + 2)/(x - 3)

We can find the inverse function {f⁻¹(x)} as follows -

y = (x + 2)/(x - 3)

x = (y + 2)/(y - 3)

x(y - 3) = y + 2

xy - 3x = y + 2

xy - y = 3x + 2

y(x - 1) = 3x + 2

y = (3x + 2)/(x - 1)

f⁻¹(x) = (3x + 2)/(x - 1)

Therefore, the inverse function {f⁻¹(x)} for the function f(x) is -

f⁻¹(x) = (3x + 2)/(x - 1)

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{Question in english -

perform the inverse of the following function f(x)=x+2/x-3}

how to convert 141 lbs to kg?

Answers

The conversion value of pounds to kilogram as per requirement is given by 141 pounds =  ( 63.9576 ) kilograms.

Standard units pounds and kilograms are helpful in measuring the mass of the given object.

One kilograms is equivalent to 2.20462 pounds.

This implies ,

⇒ 2.20462 pounds = 1 kilograms

Divide both the side by 2.20462 we get,

⇒( 2.20462 / 2.20462 ) pounds = ( 1 / 2.20462 ) kilograms

⇒  1 pounds = ( 0.4536 ) kilograms

Now, Multiply both the side by 141  we get,

⇒ 141 pounds = ( 141 × 0.4536 ) kilograms

⇒ 141 pounds =  ( 63.9576 ) kilograms

Therefore, the conversion factor of kilogram to pounds is 2.20462 this implies 141 pounds =  ( 63.9576 ) kilograms .

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Choose the numbers to complete the statement about the expression. 8/10 + 2/6 Part A The numerator in the first fraction is closest to Choose... , so the fraction is nearest to Choose... . Part B The numerator in the second fraction is closest to Choose... , so the fraction is nearest to Choose... . Part C The value of the expression can be estimated as Choose... + Choose... = Choose... . 7 / 7 5 of 7 Answered

Answers

Part A: The numerator in the first fraction is closest to 8, so the fraction is nearest to 1.

To see this, we can simplify the fraction 8/10 by dividing both the numerator and denominator by the greatest common factor, which is 2. This gives us:

8/10 = 4/5

Since the numerator of the simplified fraction is closest to 5, we can estimate that the value of the first fraction is nearest to 1.

Part B: The numerator in the second fraction is closest to 2, so the fraction is nearest to 1/3.

To see this, we can simplify the fraction 2/6 by dividing both the numerator and denominator by the greatest common factor, which is 2. This gives us:

2/6 = 1/3

Since the numerator of the simplified fraction is closest to 1, we can estimate that the value of the second fraction is nearest to 1/3.

Part C: The value of the expression can be estimated as 1 + 1/3 = 1 1/3.

To see this, we can add the two estimated fractions from parts A and B:

1 + 1/3 = 3/3 + 1/3 = 4/3

Since 4/3 is closer to 1 1/3 than any other whole number or fraction, we can estimate that the value of the expression is nearest to 1 1/3.

When can a correlation coefficient based on an observational study be used to support a claim of cause and effect?a) Neverb) When the correlation coefficient is close to -1 or +1.c) When the correlation coefficient is equal to -1 or +1.d) When the scatterplot of the data has little vertical variation.

Answers

Option a) Never. A correlation coefficient based on an observational study cannot be used to support a claim of cause and effect, regardless of its value or the characteristics of the scatterplot.

Correlation does not imply causation, which means that even if two variables are strongly correlated, it does not necessarily mean that one causes the other. There may be other variables or factors that are responsible for the observed correlation, and a causal relationship cannot be established from observational data alone. To establish causality, experimental studies are typically needed, where the potential cause is manipulated and the effect is measured.

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A florist charges $5 for a small floral arrangement, $7 for a medium one and $4 for a delivery fee. If you spent a total of $144, and bought 10 medium ones, how many small floral arrangements did you buy?

Answers

Answer:

14 small floral arrangements

Explanation:

First you subtract 4 from 144

144 - 4 = 140

Second you multiply the cost of a small floral arrangement and how many you have boughten.

7 x 10 = 70

You subtract the cost of 10 medium floral arrangements and how many you have boughten.

140 - 70 = 70

Finally, you divide the cost of the small floral arrangements by the remaining money.

70 / 5 = 14

The formula below, Newton's law of cooling, allows us to calculate the temperature of an object as it cools.

T = R + (T0 − R)e-kt
T = temperature of the object after t minutes
T0 = initial temperature
R = temperature of the surroundings
k = cooling rate (depends on the object and conditions)

Suppose the temperature in Denver, Colorado was 55°F when a 5°F arctic cold front moved over the state. Using k = 0.012, how long would it take a puddle of water to freeze? (Recall that water freezes at 32°F.)

Answers

With the stated cooling rate of k = 0.012, it follows that the puddle of water would ice in the arctic cold front in roughly 97.8 minutes

Simply put, what is temperature?

The oscillation of a substance's components is measured by its temperature. When something is hot, it indicates that its components move relatively quickly on average. Despite having a high temperature, a substance's heat capacity is very low because it has a small number of light elements.

We can use the Newton's law of cooling formula to solve this problem.

[tex]T = R + ( To - R ) \times e ^{(-kt )}[/tex]

Let's assume that the initial temperature of the water is 55°F and the temperature of the surroundings is 5°F (due to the arctic cold front).

We are looking for the time it takes for the water to cool down to 32°F (the freezing point of water).

Therefore, we have:

T = 32°F

T0 = 55°F

R = 5°F

k = 0.012

Substituting these values into the formula, we get:

[tex]32 = 5 + (55 - 5) \times e^{(-0.012t)}[/tex]

Simplifying the equation, we get:

[tex]27 = 50 \times e^{(-0.012t)}[/tex]

Dividing both sides by 50, we get:

[tex]0.54 = e^{(-0.012t)}[/tex]

Taking the natural logarithm of both sides, we get:

ln(0.54) = -0.012t

Solving for t, we get:

t = ln(0.54) / (-0.012)

t ≈ 97.8 minutes

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How much is 50 ml in ozs?

Answers

50 milliliters (ml) is equivalent to 1.69 fluid ounces (oz). To convert milliliters to fluid ounces, you need to use the conversion factor of 0.03381402 fluid ounces per milliliter.

This means that you can multiply the number of milliliters by this conversion factor to get the equivalent volume in fluid ounces. The conversion between milliliters and fluid ounces is commonly used in the measurement of liquids, especially in cooking and baking recipes.

Some recipes may use milliliters as the standard unit of measurement, while others may use fluid ounces or other units. Being able to convert between different units of measurement is important to ensure accurate measurement and a successful outcome in the recipe.

It's worth noting that fluid ounces are a measure of volume, while ounces can also be a measure of weight. In the United States, fluid ounces are commonly used to measure the volume of liquids, while ounces are used to measure the weight of both solids and liquids.

In summary, 50 milliliters is equal to 1.69 fluid ounces, and understanding how to convert between different units of measurement is important in cooking, baking, and other applications that involve measuring liquids.

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the amount of soda was entered as 8 fluid ounces. however, this is not reflective of a typical serving size of most sugar-sweetened beverages. most sodas are now sold in bottles that contain 20 fluid ounces, and many are even larger. on the spreadsheet report, find the column for calories (cals). if zander were to drink 20 fluid ounces of soda, how many calories would he consume from soda?

Answers

8 fluid ounces are in one serving is the required fluid ounces in one serving.

Given that,

There are 8 fluid ounces in a cup, how many fluid ounces are in one serving is to be determined.

What is arithmetic?

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,

What is simplification?

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,

There are 8 fluid ounces in 1 cup and in a serving of one cup there will be 8 fluid ounces.

Thus, 8 fluid ounces are in one serving is the required fluid ounces in one serving.

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All working out is required, please. 25 points, should be relatively easy!

Answers

The value of angle BAC is 60°

What is a pyramid?

A pyramid is a three-dimensional shape. A pyramid has a polygonal base and flat triangular faces, which join at a common point called the apex. A pyramid is formed by connecting the bases to an apex. Each edge of the base is connected to the apex, and forms the triangular face, called the lateral face.

Since the base of the pyramid is equal, the lateral lines joining the apex have equal length which will form equal triangle at both sides.

This means that if triangle BCD is equilateral, then, triangle ABC is also equilateral.

Therefore angle BAC = 180/3 = 60°

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Which statement is true?

Answers

Answer:

The 1st option

Step-by-step explanation:

Piper's orange probability is 4/20 and Kai's pink probability is 4/20, which makes option 1 correct

to find the probability use the equation below:

(the number of favorable outcomes)/(the total number of outcomes).

outcome/total

Figure 1 and figure 2 are right triangles.


two right triangles labeled figure 1 and figure 2, where the legs of figure 1 are 3 units long and the legs of figure 2 are 7 units long


What scale factor was used to produce Figure 2 from Figure 1?


7 over 3

3 over 7

7

3

Answers

The scale factor produced in Figure 2 from Figure 1 is 3 over 7.

What is a scale factor?

The scale factor defines a variable in a ratio of two different measurements.

Sometimes drawings of large models are represented in a scale factor of a smaller unit.

A triangle is a three-sided closed-plane figure formed by joining three noncolinear points.

Given, Two right triangles Δ₁ and Δ₂, where the legs of Δ₂ is 7 units long and the legs of  Δ₁ is 3 units long.

Therefore, The scale factor produces in Figure 2 from Figure 1 is Δ₂/Δ₁,

= 3/7.

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In a class,5/8of the pupils are boys. If 15. Girls in that class how many boys are there

Answers

There are 25 boys in the class out of a total of 40 students. The fraction of students who are boys is 5/8 and the fraction of students who are girls is 3/8.

Let's start by using the information given in the problem to determine the fraction of students who are girls in the class:

Fraction of students who are girls = 1 - Fraction of students who are boys

Fraction of students who are girls = 1 - 5/8

Fraction of students who are girls = 3/8

Now we can use the fraction of girls to find the number of boys and girls in the class:

Let the total number of students in the class be x.

Number of boys = 5/8 * x

Number of girls = 3/8 * x

We know that there are 15 girls in the class, so we can set up an equation:

3/8 * x = 15

Solving for x:

x = 15 * 8/3

x = 40

So there are 40 students in the class. Now we can find the number of boys:

Number of boys = 5/8 * x

Number of boys = 5/8 * 40

Number of boys = 25

Therefore, there are 25 boys in the class.

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4. Find the number of right angle turned through by the hour hand of a clock when it goes from 3 to 6.
5. What fraction of a clockwise revolution does the hour hand of a clock turn through when it goes from 12 to 3?​

Answers

Answer:

23

Step-by-step explanation:

If m∠11 = 118, what is the measure of ∠8?

Answers

The measure of ∠8 is also 118º because angles opposite the vertex are equal.


What is the measure of ∠8?

To explain further, when two lines intersect, they create four angles. The angles that are directly across from each other are called angles opposite the vertex. These angles are always equal. So, if one angle measures 118 degrees, the angle opposite the vertex will also measure 118 degrees.

In this case, ∠11 and ∠8 are angles opposite the vertex. Therefore, if m∠11 = 118, then m∠8 = 118 as well.

So, the measure of ∠8 is 118.

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In a company's first year in operation, it made an annual profit of $140, 000.
The profit of the company increased at a constant 20% per year each year.
How much total profit would the company make over the course of its first 14
years of operation, to the nearest whole number?

Answers

Answer:

238000

Step-by-step explanation:

hope I did this right!!

Answer:

The total profit the company would make over the course of its first 14 years of operation is approximately $2,562,841.

Step-by-step explanation:

The profit of the company increased at a constant 20% per year. We can use the formula for the future value of an investment to calculate the profit for each year, where:

FV = PV x (1 + r)^n

FV is the future value of the investment

PV is the present value of the investment

r is the annual interest rate

n is the number of years

Using this formula, we can find the profit for each year:

Year 1: $140,000

Year 2: $168,000

Year 3: $201,600

Year 4: $241,920

Year 5: $290,304

Year 6: $348,364

Year 7: $418,037

Year 8: $501,644

Year 9: $601,972

Year 10: $722,367

Year 11: $866,840

Year 12: $1,040,208

Year 13: $1,248,250

Year 14: $1,497,900

To find the total profit over the course of the first 14 years, we can simply add up the profits for each year:

Total profit = $140,000 + $168,000 + $201,600 + $241,920 + $290,304 + $348,364 + $418,037 + $501,644 + $601,972 + $722,367 + $866,840 + $1,040,208 + $1,248,250 + $1,497,900

Total profit = $2,562,841 (rounded to the nearest whole number)

What does e to the pi mean?

Answers

The expression "e to the pi" refers to the mathematical constant e raised to the power of the mathematical constant pi (approximately 2.71828). (approximately 3.14159).

As, the exact value is an irrational number that cannot be expressed as a finite decimal or fraction, the value of e to the pi is approximately 23.14069.

The combination of e and pi is a well-known mathematical expression that can be seen in a variety of areas of mathematics, including calculus, number theory, and complex analysis.

Mathematicians are particularly interested in e to the pi because it is a transcendental number (a number that is not the root of any non-zero polynomial with rational coefficients).

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Paul has some cookies. 25 % of them are chocolate chip cookies. If Paul has 6 chocolate cookies , how many cookies does he have altogether?

Answers

If 25% of Paul's cookies are chocolate chip, then 75% of his cookies are not chocolate chip. Let's call the total number of cookies Paul has "x".

So, 25% of x is equal to 6:

0.25x = 6

To solve for x, we can divide both sides by 0.25:

x = 24

So Paul has 24 cookies altogether.

Paul has 6 chocolate chip cookies and 25% of the total number of cookies are chocolate chip cookies.

Therefore, the total number of cookies Paul has is 6 / 0.25 = 24 cookies.

what is the decimal equivalent of 0xc9?

Answers

The decimal equivalent of 0xc9 is 201.

Hexadecimals:

Hexadecimal is a number system with a base of 16, in which we use 16 distinct symbols to represent numbers. The symbols used in hexadecimal are the digits from 0 to 9 and the letters from A to F.  

Hexadecimal notations are commonly used in computer programming and digital electronics because they can represent binary data more compactly than binary notation.

Here we have

0xc9  

By converting each symbol as a number we can calculate as follows

Here 0x represents hexadecimal

And the value of c is 12    

0xc9 =  (12 × 16¹) +  (9 × 16⁰)

= 192 + 9 = 201  

Therefore,  

The decimal equivalent of 0xc9 is 201.

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HELP ME WITH MY MATH ASAP

Answers

The sequence with a first term of 10 and a common difference of 4 is the one in the first option.

f(1) = 10

f(n) = f(n - 1) + 4

Which sequence has a first term equal to 10 and a common difference of 4?

For a general arithmetic sequence we define the first term and recursive formula as:

f(1) = a   (this is the first term)

f(n) = f(n - 1) + d  (d is the common difference)

So, a first term of 10 and a common difference of 4 would be written as:

f(1) = 10

f(n) = f(n - 1) + 4

Then the correct option is the first one.

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How to convert 116 lbs to kg?

Answers

The required converting value into kilograms of the given 116 pounds is equal to 52.62 kilograms ( round up to two decimals ) .

Converting factor used to convert pounds to kilograms is equal  to:

1 pound = 0.453592 kilograms

Now to get the value of 116 pounds we have,

116 pounds = 116 × converting factor

Substitute the value of converting factor we have,

⇒ 116 pounds = 116 × 0.453592 kilograms

⇒ 116 pounds = 52.6167 kilograms

⇒ 116 pounds = 52.62 kilograms ( round up to two decimals )

Therefore, the converted values of the required 116 pounds is equal to 52.62 kilograms ( round up to two decimals ) .

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What is an ordered pair that satisfies all the equations in a system called?

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Answer:

It is called a solution.

Determine whether the value is a discrete random​ variable, continuous random​ variable, or not a random variable. a. The height of a randomly selected giraffe b. The number of points scored during a basketball game c. The gender of college students d. The amount of rain in City Upper B during April e. The number of fish caught during a fishing tournament f. The number of bald eagles in a country

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The height of a randomly selected giraffe, the number of points scored during a basketball game, the gender of college students, the amount of rain in City Upper B during April, and the number of fish caught during a fishing tournament are all examples of discrete or continuous random variables, while the number of bald eagles in a country is not a random variable.

a. Continuous random variable

b. Discrete random variable

c. Discrete random variable

d. Continuous random variable

e. Discrete random variable

f. Not a random variable

a. The height of a randomly selected giraffe is a continuous random variable because it can take on any value within a certain range.

b. The number of points scored during a basketball game is a discrete random variable because it is a countable number.

c. The gender of college students is a discrete random variable because it is a categorical variable with two possible values.

d. The amount of rain in City Upper B during April is a continuous random variable because it can take on any value within a certain range.

e. The number of amount fish caught during a fishing tournament is a discrete random variable because it is a countable number.

f. The number of bald eagles in a country is not a random variable because it is a fixed number and not a random sample.

The height of a randomly selected giraffe, the number of points scored during a basketball game, the gender of college students, the amount of rain in City Upper B during April, and the number of fish caught during a fishing tournament are all examples of discrete or continuous random variables, while the number of bald eagles in a country is not a random variable.

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