A number cube with six sides numbered 1 through 6 is rolled. the probability of rolling a 5 is 16. what is the probability of not rolling a 5?

Answer:

(- 110, - 22 )

Step-by-step explanation:

since the dilatation is centred at the origin , then multiply the coordinates of the point by 22

(- 5, - 1 ) → (- 5(22), - 1(22)) → (- 110, - 22 )

Convenience purchase: Coca-Cola. Shopping purchase: Apple iPhone. Specialty purchase: Rolex. These brand name products correspond to their respective purchase types based on convenience, shopping involvement, and specialty appeal in the consumer marketplace.

Convenience purchases refer to low-involvement purchases made by consumers for everyday items that are readily available and require minimal effort to obtain. These purchases are typically driven by convenience and habit rather than extensive consideration or brand loyalty.

Shopping purchases involve higher involvement and more deliberate decision-making. Consumers invest time and effort in comparing options, seeking the best value or quality, and may consider multiple brands before making a purchase. These purchases often involve durable goods or products that require more consideration.

Specialty purchases are distinct and unique purchases that cater to specific interests, preferences, or hobbies. These purchases are driven by passion, expertise, and a desire for premium or specialized products. Consumers are often willing to invest more in these purchases due to their unique features, quality, or exclusivity.

Three specific brand name products in the consumer marketplace that correspond to these types of purchases are

Convenience Purchase: Coca-Cola (Soft Drink)

Coca-Cola is a widely recognized brand in the beverage industry. It is readily available in various sizes and formats, making it a convenient choice for consumers seeking a refreshing drink on the go.

With its widespread availability and strong brand presence, consumers often make convenience purchases of Coca-Cola without much thought or consideration.

Shopping Purchase: Apple iPhone (Smartphone)

The Apple iPhone is a popular choice for consumers when it comes to shopping purchases. People invest time researching and comparing features, pricing, and user reviews before making a decision.

The shopping process involves considering various smartphone brands and models to ensure they select a product that meets their specific needs and preferences.

Specialty Purchase: Rolex (Luxury Watches)

Rolex is a well-known brand in the luxury watch industry and represents specialty purchases. These watches are associated with high-quality craftsmanship, precision, and exclusivity.

Consumers who are passionate about luxury watches and seek a premium product often consider Rolex due to its reputation, heritage, and unique features. The decision to purchase a Rolex involves a significant investment and is driven by the desire for a prestigious timepiece.

These examples illustrate how different types of purchases align with specific brand name products in the consumer marketplace, ranging from convenience-driven choices to more involved shopping decisions and specialty purchases driven by passion and exclusivity.

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Answer:

Angela asked each student in her class about the height of the fence around their house. She made the histogram below to

represent the heights of each student's fence.

Height of Fence

16

14

12

10

Students

8

6

4

2

8

10

12

6

Feet

Which statement is true?

OA. The data distribution is both symmetric

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer:

4/2

Step-by-step explanation:

Answer:

yes, no, yes, no

Step-by-step explanation:

the first two are correct, try an example for 2 and 3

b = a - 5 yes

if a = 5 and b = 0

5 - 5 = 0

a = b - 5 no

if a = 5 and b = 0

5 = 0 - 5 which is not true 5 doesnt equal -5

Answer:

C is the correct answer

Step-by-step explanation:

i got it right on my test

Answer: x<1

Step-by-step explanation:

add 12 to both sides, divide by 2 on both sides.

The volume of the given solid is πa³/4 cubic units.

Given that the base of a solid is a quadrant of a circle of radius a and each cross-section perpendicular to one edge of the base is a semicircle whose diameter lies in the base.

To find the volume of the solid, we'll integrate the area of the cross-section over the height of the solid.

Let us consider a cross-section with thickness dx at a distance x from the vertex of the quadrant, as shown in the figure below.

Here, the diameter of the semicircle forming the cross-section is 2(x + a).

Therefore, the radius of the semicircle is (x + a).

Area of the cross-section = Area of the semicircle= π[(x + a)²]/2

Volume of the solid = ∫Area dx from 0 to a= ∫π[(x + a)²]/2 dx from 0 to a= π/2 ∫(x² + 2ax + a²) dx from 0 to a= π/2 [(a³/3 + 2a²/2 + a³/2) - (0)] = πa³/4 cubic units

Therefore, the volume of the given solid is πa³/4 cubic units.

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Answer:greater

Step-by-step explanation: .03 is greater than .02, think about it is 3 less or greater than 2?

Quadrilateral MNOP is similar to quadrilateral QRST. The measure of side RS is approximately 39.2 units.

If two quadrilaterals are similar, their corresponding sides are in proportion. Therefore, we can set up a proportion between the corresponding sides of quadrilaterals MNOP and QRST as follows:

MN / QR = NO / ST = OP / RS

We are given the lengths of MN, NO, and OP, but we need to find the length of RS. We can solve for RS by rearranging the proportion as follows:

OP / RS = MN / QR

RS = OP / (MN / QR)

We can substitute the given values to get:

RS = 58 / (19 / 13)

Simplifying this expression gives:

RS = 58 * (13 / 19) = 39.241 ≈ 39.2

Therefore, the measure of side RS is approximately 39.2 units.

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____The given question is incomplete, the complete question is given below:

Quadrilateral MNOP is similar to quadrilateral QRST. Find the measure of side RS. Round your answer to the nearest tenth if necessary. Figures are not drawn to scale. QT =58, PM= 19 ON=13.

Answer: No slope

Step-by-step explanation: The line is going straight down.

5.11, i used the produatecr formula

The expression for G will be written as G = (-10x² + 100x + 44 ) / x.

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given that the expression is G = -10× + 100 + 44/×. The expression for G will be calculated as:-

G = -10× + 100 + 44/×

Take LCM of x and solve,

G = -10× + 100 + 44/×

G = (-10x² + 100x + 44 ) / x.

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Answer: 150

Step-by-step explanation:

Answer:

-3/5

Step-by-step explanation:

Y axis is the positive numbers

X axis is the negative numbers

The first cirle which is the -3 count upwards and the answer is 5.

Based on my knowledge the answer is -3 and 2 and i guess we have different lesson.

Answer:

1

Step-by-step explanation:

The greatest common factor of two numbers is the largest number that both can divide into.

29 is a prime number. This means that it is only divisible by 1 and itself.

18 has the factors 1,2,3,6,9,18.

Only the number 1 is a shared factor between the two numbers, therefore 1 is the greatest common factor of 29 and 18.

Hope this helped!

Answer:

1

Step-by-step explanation:

29 is a prime number. Hence, the GCM of a number x and 29 is 1 if x isn't divisible by 29. Because 18 isn't divisble by 29, the GCM of 18 and 29 is 1.

Hopefully this answer helps you :)

The value of x in the given function, f(x) = 3/2x - 4 when f(x) = 5, is x = 6

From the question, we are to determine the value of x in the given function for the given value of f(x).

The given function is

f(x) = 3/2x - 4

and

f(x) = 5

Now, to determine the value of x, put f(x) = 5 in the given function

f(x) = 3/2x - 4

5 = 3/2x - 4

Add 4 to both sides of the equation

5 + 4 = 3/2x - 4 + 4

9 = 3/2x

Multiply both sides by 2

2 × 9 = 2 × 3/2x

18 = 3x

Divide both sides by 3

18/3 = 3x/3

6 = x

Therefore,

x = 6

Hence, the value of x is 6

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Answer: 5x+3(2x)=4

Step-by-step explanation:

5x+3y=4   (1)

y=2x         (2)

Substitute the equation (2) into the equation (1):

5x+3(2x)=4

The condition for a portfolio to be self-financing in the Black-Scholes model is that the portfolio's value does not change due to trading (buying or selling) costs or external cash flows. In other words, the portfolio's value remains constant over time, excluding the effects of the underlying assets' price changes.

For the given portfolio, a = -t (units of the stock) and b = S_t (units of the savings account). To determine if this portfolio is self-financing, we need to check if its value remains constant over time. Using Ito's lemma, we can express the value of the portfolio as:

d(Vt) = a_t * d(St) + b_t * d(Ct)

Substituting the values of a and b, we have:

d(Vt) = -t * (2St * dt + 4St * dBt) + S_t * d(t)

Simplifying this expression, we get:

d(Vt) = -2tSt * dt - 4tSt * dBt + S_t * dt

The portfolio is self-financing if d(Vt) = 0. However, in this case, we can see that the terms involving dBt do not cancel out, indicating that the portfolio is not self-financing.

Girsanov's theorem states that under certain conditions, it is possible to transform a Brownian motion under the real-world measure into a Brownian motion under an equivalent martingale measure (EMM). The EMM is a probability measure under which the discounted asset prices are martingales. By applying Girsanov's theorem or alternative techniques, we can derive the expression for St, the stock price, under the EMM. Unfortunately, without further information or specifications, it is not possible to provide the specific expression in this case.

To determine the price Ct of the call option on the stock at time t ≤ 2, with an exercise price K = 1 and expiration date T = 2, additional information or an appropriate result is required. Without specific details, such as the volatility of the stock or the risk-free interest rate, it is not possible to provide an expression for Ct.

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Quick sort will be guaranteed to run in O(n log n) time when the pivot element is chosen in a way that partitions the array into approximately equal halves.

Quick sort is a sorting algorithm that uses divide-and-conquer to sort an array or list of elements. The algorithm works by partitioning the array into two subarrays, one containing all elements smaller than a chosen pivot element, and the other containing all elements larger than the pivot.

The pivot element is then placed between the two subarrays and the process is repeated recursively on each subarray until the entire array is sorted.

Quick sort is generally considered to have an average case time complexity of O(n log n), which means that the algorithm will take proportional to n log n time to sort an array of n elements on average. However, in the worst case, the time complexity of quick sort can be O(n^2), which can occur when the pivot is consistently chosen as the smallest or largest element in the array, leading to an unbalanced partitioning of the array.

To guarantee that quick sort will run in O(n log n) time, it is important to choose a good pivot element that is representative of the entire array and leads to a balanced partitioning of the elements. This can be done by using a randomized pivot selection or by choosing a median-of-three pivot selection that takes the median of the first, middle, and last elements of the array as the pivot. Additionally, choosing a good partitioning scheme that minimizes the number of comparisons and swaps required can also improve the time complexity of the algorithm.

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Answer:

Car 1 consumed 15 gallons, and Car 2 consumed 20 gallons.

Step-by-step explanation:

fuel efficiency = distance in miles/gallons of gas

fuel efficiency * gallons of gas = distance in miles

Car 1: 20 mpg

Car 2: 40 mpg

Total miles: 1100

Miles of Car 1: x

Miles of Car 2: 1100 - x

Total gallons: 35

Gallons for Car 1: y

Gallons for Car 2: 35 - y

Car 1:

fuel efficiency * gallons of gas = distance in miles

20 * y = x

Car 2:

fuel efficiency * gallons of gas = distance in miles

40 * (35 - y) = 1100 - x

20y = x

1400 - 40y = 1100 - x

20y = x

x = 40y - 300

40y - 300 = 20y

20y = 300

y = 15

35 - y = 35 - 15 = 20

Car 1 consumed 15 gallons, and Car 2 consumed 20 gallons.

Answer:

2/9

Step-by-step explanation:

Let 0.2222..... be x

10x = 2.2222222......

=> 10x - x = 2.22222..... - 0.22222....

=> 9x = 2

=> x = 2/9

Answer:

d. n≤5

Step-by-step explanation:

This is the answer

Answer:

D) n≤5

Step-by-step explanation:

No more than 5 means that the number cannot exceed 5, but it's ok to have any number less than 5 or equal to 5. So, this means that D is correct.

The equation that is approximately 13.52 milligram remains is f(x) = 50(0.5)⁽¹⁰/⁵°³)

Equation:

Equation also known as expression is the combination of numbers, variables and mathematical operators.

Given,

The function gives the mass, m, of a radioactive substance remaining after h half-lives. Cobalt-60 has a half-life of about 5. 3 years.

Here we need to find the equation gives the mass of a 50 mg Cobalt-60 sample remaining after 10 years, and approximately how many milligrams remain.

Here we know that, when the mass is 50 mg, it means that:

=> m = 50

So, the equation is written as,

=> f(x) = 50(0.5)⁽ᵃ/ᵇ⁾

Here they said that when 10 years remain in the life of the substance, it means that:

So, the value of t = 10 and the value of half life is 5.3

Then the equation is rewritten as,

=> f(x) = 50(0.5)⁽¹⁰/⁵°³⁾

To evaluate the equation

f(x) = 13.52

Therefore, the required equation is f(x) = 50(0.5)⁽¹⁰/⁵°³) and approximately 13.52  milligram remains

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Answer:

-232.5

Step by Step Explanation:

Answer:

Domain:

-∞ < x > ∞

Range:

-∞ < y > ∞

Step-by-step explanation:

Answer:

1/2

Step-by-step explanation:

4-1-1/4

=4-2/4

=2/4

By simplifying

=1/2

Answer:

= 1/2.

Step-by-step explanation:

4 - 1 - 1/4

=3 - 1/4

=2/4

=1/2.

To evaluate the triple integral 5(\(x^3\)yx\(y^2\)) dv in cylindrical coordinates, we first need to express the equation of the paraboloid z = \(x^2\) + \(y^2\) in cylindrical coordinates.

Using the conversion formulae, we have:

x = r cos(theta)

y = r sin(theta)

z = z

Substituting these values in the equation of the paraboloid, we get:

z = \(r^2\)

The limits of integration for r, theta, and z are:

0 ≤ r ≤ √z

0 ≤ theta ≤ π/2

0 ≤ z ≤ 1

Thus, the triple integral becomes:

∫∫∫ 5(\(r^5\)\(cos^3\)(theta)\(sin^3x^{2}\)(theta)) r dz dr d(theta)

Simplifying this expression and evaluating the integral, we get:

5/32

Therefore, the value of the given triple integral in cylindrical coordinates is 5/32.

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Answer:

Quotient = x² - 3x + 5

Remainder = 9

Explanation:

To make the synthetic division, we need to rewrite the dividend with all the degrees of the exponents, so:

x³ - 4x + 6 = x³ + 0x² - 4x + 6

Then, we will use the coefficient of each term: 1, 0, -4 and 6

On the other hand, the divisor should have the form (x - a), so:

x + 3 = x - (-3)

Therefore, a = -3, and we will use this number for the synthetic division.

Finally, the synthetic division is:

Where the first number goes down, then the blue -3 is calculated as the number as 1 x -3, and the yellow -3 is equal to the sum of the number numbers 0 and -3, so: 0 + (-3) = -3

In the same way, 9 = -3 x -3 and 5 = -4 + 9

Finally, -15 = 5 x -3 and -9 = 6 - 15

Now, the coefficients 1, -3, and 5 give us the quotient of the division, and -9 is the remainder. So, the solution of the division is: