6. a. What percent more did The Santa Clause 2 make then Dr. Seuss' The Grinch (2018)2 Use actual dollar



amounts



$218,500,000



$213,500,000

Answer:

81 square ft

Step-by-step explanation:

square B has a site lenght of 15ft

therefore square must have one of 3/5 of 15 which is 9

the area is 9x9=81

5a. A function to show p, the number of parrots t years after 2010 is \(P(t) = 515(1.54)^t\\\\\).

5b. The number of parrots that is expected to be there in 2016 is 6,870 parrots.

In Mathematics and Statistics, a population that increases at a specific period of time represent an exponential growth. This ultimately implies that, a mathematical model for any population that increases by r percent per unit of time is an exponential function of this form:

\(P(t) = I(1 + r)^t\\\\\)

Where:

Part a.

By substituting the given parameters into the formula, an exponential function to show p, the number of parrots t years after 2010 is given by;

\(P(t) = I(1 + r)^t\\\\\)

4418= 515(1 + r)⁵

(1 + r)⁵ = 4418/515

(1 + r)⁵ = 8.5786407766990

1 + r = 1.54

Therefore, the required exponential function to show p is given by;

\(P(t) = 515(1.54)^t\\\\\)

Part b.

When t = 6 years, the number of parrots can be calculated as follows;

\(P(6) = 515(1.54)^6\)

P(6) = 6,869.60 ≈ 6,870 parrots.

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Answer: \(-30x^{3} + 96x^{2}\)

Step-by-step explanation:

Answer:

-30x³ + 96x²

Step-by-step explanation:

 To simplify the algebraic expression, multiply each term of (-5x + 16) by 6x².

When we multiply 6x² * (-5x), multiply the coefficient 6 & -5 and add the powers of the variables.

6x²*(-5x + 16) = 6x² *(-5x) +6x²*16

                      = -30x³ + 96x²

Answer: The Answer is -75 percent change



Step-by-step explanation:

Answer:

25% increase

Step-by-step explanation:

20/80=.25

The concept of "Gold status" is a reward for frequent travelers who accumulate a certain number of miles or flights with an airline. The benefits of Gold status often include perks like priority boarding, lounge access, and upgrades to first class.

In this scenario, we see that to qualify for Gold status at Awesome Airlines, one must fly at least 8400 and less than 35000 miles each year. This means that the airline values loyalty from customers who fly frequently but not excessively.

It's worth noting that airlines have different requirements for earning their respective statuses, and it's important for travelers to understand these requirements in order to plan their trips effectively. For example, some airlines may also consider the amount spent on tickets in addition to miles flown, while others may have different tiers beyond Gold status.

Ultimately, achieving Gold status can be a valuable goal for frequent travelers who want to enjoy the benefits and perks offered by the airline. By understanding the requirements and planning trips accordingly, travelers can work towards earning this coveted status and enhancing their travel experiences.

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Answer:

1/2 of the  bar is left

Step-by-step explanation:

1/12 x2= 2/12

2/12+ 1/3=2/12+4/12

6/12=1/2

Answer:

x=5

Step-by-step explanation:

the slope of the line is undefined

Answer:

x=5

Step-by-step explanation:

The slope is unidentified

The probabilities from the binomial probability mass function P(x ≤ 2) will be 0.9298.

Frequency distribution of the percentage of successful outcomes that might occur in a certain number of trials with the same chance of success. If X~B(n, p), then the probability is given as

\(\rm P(X=x) = \ ^nC_x \times p^x \times (1-p)^{n - x}\)

q = 1 - p = 1 - 0.10 = 0.90

Let x be a binomial random variable with p = 0.1 and n = 10.

The probabilities from the binomial probability mass function P(x ≤ 2) will be

P(x ≤ 2) = P(x = 0) + P(x = 1) + P(x = 2)

P(x ≤ 2) = ¹⁰C₀ × (0.1)⁰ × (0.9)¹⁰ + ¹⁰C₁ × (0.1) × (0.9)⁹ + ¹⁰C₂ × (0.1)² × (0.9)⁸

P(x ≤ 2) = 0.3487 + 0.3874 + 0.1937

P(x ≤ 2) = 0.9298

Your question was incomplete but the complete question is given below.

Let x be a binomial random variable with p = 0.1 and n = 10. Calculate the probability from the binomial probability mass function less than or equal to 2.

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The expression to find the total number of stickers bought by Mark is x = 9s.

What is an expression?

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation.

The number of sheets of stickers Mark bought is denoted by the variable = s.

The number of stickers on each sheet is = 9

Let the total number of stickers be x.

Use the arithmetic operation of multiplication.

Then the expression will be -

Total number of stickers = Number of sheets of stickers × Number of stickers on each sheet

Substitute the values into equation -

x = s × 9

x = 9s

Therefore, the expression is obtained as x = 9s

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The classification of the transformations based on the properties are presented as follows;

\(\begin{array}{|c|c|c|} & \mathbf{Preserves \ length} & \mathbf{Does \ not \ preserve \ lengths} \\\mathbf{Preserves \ angle \ measure} & Reflection\ Rotation &Translation \ followed \ by \ dilation \\&&Dilation \ with \ K > 1\\\mathbf{Does \ not \ preserve \ angle \ meas} & & \\\end{matrix}\)

The transformations that preserves the lengths of the original figure or pre-image and also preserves the angle measure is a rigid transformation.

Rigid transformations includes; Reflections, rotations, and translations

Transformations that preserves the angle of measure but in which the lengths of the preimage is not preserved are non-rigid transformations

Non rigid transformations includes; Dilation with a scale factor

Transformations that does not preserve the angle measure includes; Shear transformation

A translation and a dilation transformation does not preserve the lengths of the original figure.

The classification of the transformations based on their properties are therefore presented as follows;

\({}\)                               Preserves lengths      Does not preserve lengths

Preserves               Reflection              \({}\)    Translation followed by dilation

angle measure       Rotation                   \({}\)  with k > 1

                                                          \({}\)        Dilation with k > 1

Does not              

Preserve angle

measure

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Answer:

The last answer.

Step-by-step explanation:

It looks to be the correct answer because for the one above you can't simplify 27 by 5.

Answer:

The letter "x" is often used in algebra to mean a value that is not yet known. It is called a "variable" or sometimes an "unknown". In x + 2 = 7, x is a variable, but we can work out its value if we try! A variable doesn't have to be "x", it could be "y", "w" or any letter, name or symbol.

Step-by-step explanation:

It is called a "variable" or sometimes an "unknown"

A variable is an abstract storage location paired with an associated symbolic name, which contains some known or unknown quantity of information referred to as a value; or in simpler terms, a variable is a named container for a particular set of bits or type of data.

here, we have,

The letter "x" is often used in algebra to mean a value that is not yet known.

It is called a "variable" or sometimes an "unknown".

In x + 2 = 7, x is a variable, but we can work out its value if we try!

A variable doesn't have to be "x", it could be "y", "w" or any letter, name or symbol.

Hence, x is called a "variable" or sometimes an "unknown".

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Answer:

Hmm, id say call of duty, because first of all, my brother would not be happy if i chose something else, lol, also that one is pretty fun

Step-by-step explanation:

The calculated value of the height of figure 1 is (d) 4 units

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

The figures

The figure 1 is similar to figure 2

So, we have

4x/(x + 1) = 2x/x

When evaluated, we have

4x = 2x + 2

So, we have

2x = 2

Evaluate

x = 1

This means that

Height = 4 * 1

Evaluate

Height = 4

Hence, the height of figure 1 is 4 units

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The result of dividing 1240.64 by 12.5 and rounding appropriately is 99.

To compute the division of 1240.64 by 12.5, divide the dividend 1240.64 by the divisor 12.5:

1240.64 ÷ 12.5 = 99.2512

The quotient is 99.2512.

To round the answer appropriately, we need to determine the desired level of accuracy. In this case, we are asked to round the answer appropriately, so we will round to the nearest whole number.

Since the decimal part of the quotient, 0.2512, is less than 0.5, we round down the whole number part, 99, to get the rounded answer:

Rounded Answer: 99

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The required result of 1240.64 divided by 12.5, rounded to two decimal places, is 99.25.

To compute 1240.64 divided by 12.5, we can simply divide the two numbers:

1240.64 / 12.5 = 99.2512

Now, to round the answer appropriately, we need to consider the desired level of precision. If we want to round to two decimal places, we can round the answer to:

99.25

Therefore, the result of 1240.64 divided by 12.5, rounded to two decimal places, is 99.25.

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Yes, the altitude of an isosceles triangle bisect the vertex angle as ∠BAD = ∠CAD (by CPCT) in isosceles triangle ABC.

Given, an isosceles triangle ABC

now, the two sides are equal

AB = AC

now, drawing an altitude AD in the triangle.

So, in triangles ADB and ADC

AB = AC (given)

AD = AD (common)

∠ADB = ∠ADC (90°)

So, by RHS congruence rule

ΔADB ≅ ΔADC

and therefore ∠BAD = ∠CAD (by CPCT)

Hence, Yes the altitude of an isosceles triangle bisect the vertex angle as ∠BAD = ∠CAD (by CPCT) in isosceles triangle ABC.

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The y intercept is what the y value is when x is 0.

Set X to 0 and solve:

-2/9(0) + 1/3

0 + 1/3 = 1/3

The y-intercept is 1/3

Answer:

AC=44

Step-by-step explanation:

The value of AC is 12 unit.

A special form of quadrilateral called a parallelogram has both pairs of its opposite sides parallel and equal.

Given:

ABCD is a parallelogram.

And  BE = 2x + 2, BD = 5x – 3, and AE = 4x – 6.

The two diagonals bisect each other.

AC = AE + EC

AC = 2AE

AC = 8x-12

The diagonals of a parallelogram are equal.

So,

BD = AC

5x+3 = 8x-12

x = 3

So, AC = 12

Therefore, the AC is 12 unit.

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Answer:

60°

Step-by-step explanation:

Since, x and 2x are supplementary angles.

\( \therefore \: x + 2x = 180 \degree \\ \\ \therefore \: 3x = 180 \degree \\ \\ \therefore \: x = \frac{180 \degree}{3} \\ \\ \huge \red{ \boxed{\therefore \: x = 60 \degree}}\)

Continuous functions on an interval J of the real axis have the intermediate value property.

The intermediate value property states that if a continuous function f is defined on an interval [a, b] and takes two distinct values f(a) and f(b), then for any value y between f(a) and f(b), there exists a value c in the interval [a, b] such that f(c) = y.

In simpler terms, if a continuous function starts at one value and ends at another on a given interval, it takes on every value in between at some point within that interval.

This property holds true for continuous functions because continuity ensures that there are no sudden jumps or breaks in the graph of the function. Instead, the graph is smooth and connected, allowing for a seamless transition between values.

The intermediate value property is a fundamental concept in calculus and plays a crucial role in various applications, such as finding roots of equations and solving optimization problems. It guarantees that a continuous function will pass through every value between two given points, providing important information about the behavior and characteristics of the function.

Overall, the intermediate value property is a fundamental property of continuous functions, highlighting their ability to cover all intermediate values between any two points on their domain.

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Answer:

x = 27 units

Step-by-step explanation:

39 / ( 39+ 26) = x / (x+18)

x = 27

The sampling method that best fits your experiment is convenience sampling.

Sampling is the process of selecting a subset of individuals or items from a larger population in order to gather information and draw conclusions about the entire population. Sampling is often used in scientific research, market research, and other fields where it is impractical or impossible to measure the entire population.

There are many different types of sampling methods, including random sampling, stratified sampling, cluster sampling, and convenience sampling. Each method has its own advantages and disadvantages, and the choice of sampling method depends on the specific research question and the resources available.

The sampling method that best fits your experiment is convenience sampling. Convenience sampling is a non-probability sampling method that involves selecting individuals who are readily available and accessible to the researcher. In your case, you are selecting individuals who are present in front of a major grocery supermarket, which is a convenient location. Convenience sampling is often used in situations where it is difficult or impractical to obtain a random sample, and is commonly used in market research and pilot studies.

However, it is important to note that convenience sampling has some limitations. Since the sample is not randomly selected, it may not be representative of the population as a whole. In your case, selecting supermarkets in high median salary areas may introduce bias into the sample, as it may not accurately represent the entire population of USA voters. Additionally, the sample size and characteristics may be affected by factors such as time of day, day of the week, and other factors that may affect who is present in front of the supermarket at a given time. Therefore, the results obtained from this sampling method may not be generalizable to the entire population of USA voters.

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Answer: "3 + x".

Step-by-step explanation:

Answer:

There are 3nplus1 square tiles in the nth figure.

The area of the record that is not covered by the label is 593.76 cm²

The record has a radius of 15 cm. The label also have a radius of 6 cm. The radius of the label that is not covered by a label can be calculated below;

The record and label are circular. Therefore,

Therefore,

Area of the record = π × 15² = 225π

Area of the label = π × 6² = 36π

Area not covered by the label = 225π - 36π

Area not covered by the label = 189π

Area not covered by the label = 189 × 3.14159 = 593.76 cm²

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the probability that the mean tire pressure of the sample is less than 69 psi 0.2030

The formula of the z-score is z = (x - μ)/σ, where

x is the score

μ is the mean

σ is the standard deviation

given,

a mean of 70 pounds per square inch

μ = 70

the standard deviation of 1.2 psi.

σ = 1.2

the sample is less than 69

x=69

so on substituting

z=(69-70)/1.2

z=-1/1.2

z=-0.83

The value corresponding to the z score is 0.2030 i.e 20.30%

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