The answer is 20 percent

The probability of choosing a letter other than the letter a from a bag that contains the fifteen letters of the Indian city Palasa Kasibugga is 11/15.

According to the question,

We have the following information:

Words are:

Palasa Kasibugga

Now, total number of letters = 15

Number of a in these words = 4

Number of letters other than a = 11

We know that the following formula is used to find the probability of an event:

Probability = Number of favorable outcomes/total number of outcomes

Probability = 11/15

Hence, the probability of choosing a letter other than the letter a from a bag that contains the fifteen letters of the Indian city Palasa Kasibugga is 11/15.

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Yes it could work.

For example if you had f(x) = x^3 and g(x) = x+5, then

f(g(x)) = (x+5)^3

f(g(x)) = x^3+15x^2+75x+125

which you can find through the binomial expansion theorem. The expression (x+5) is a binomial.

The binomial expansion theorem should be work for the function composition. Hence, the answer should be yes.

Here we can take an example

Like

f(x) = \(x^3\) and g(x) = x+5,

So,

f(g(x)) = \((x+5)^3\)

Now

f(g(x)) = \(x^3+15x^2+75x+125\)

So here we can find via the binomial expansion theorem. So the expression (x+5) is a binomial.

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A symmetrical distribution of exam scores in a college course indicates that the student's scores are evenly distributed across the entire range of scores. This suggests that about an equal number of students had relatively high and relatively low scores.

Correct answer will be b) About an equal number of students had relatively high and relatively low scores.

And that there is no single group that overwhelmingly outperformed or underperformed the others. Furthermore, it indicates that there were a substantial number of students who achieved high scores, as well as a substantial number who achieved low scores.

This type of even distribution of scores is often seen when students are equally prepared, and when the exam is designed to be neither too difficult nor too simple.

In conclusion, a symmetrical distribution of exam scores suggests that the students were similarly prepared and that the exam was appropriately challenging.

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Therefore, the probability of getting exactly 4 calls between 8:00 AM and 9:00 AM is approximately 0.1755, rounded to four decimal places.

To calculate the probability of getting exactly 4 calls between 8:00 AM and 9:00 AM, we need to use the Poisson distribution formula. The Poisson distribution is commonly used to model the number of events occurring in a fixed interval of time or space. In this case, the mean (λ) is given as 5. The formula for the Poisson distribution is:

P(X = k) = (e*(-λ) * λ\(^k\)) / k!

Where:

P(X = k) is the probability of getting exactly k calls

e is the base of the natural logarithm (approximately 2.71828)

λ is the mean number of calls (given as 5)

k is the number of calls (in this case, 4)

k! is the factorial of k

Let's calculate the probability using the formula:

P(X = 4) = (e*(-5) * 5⁴) / 4!

P(X = 4) ≈ 0.1755

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Step-by-step explanation:

since there is no graph it's a bit hard to answer this question, but I'll try. I can help solve the equation that represents the ratio of the two numbers:

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

This can be simplified to:

x + 1/2 = y/3

To graph this equation, you would need to plot points that satisfy the equation. One way to do this is to choose a value for y and solve for x. For example, if y = 6, then:

x + 1/2 = 6/3

x + 1/2 = 2

x = 2 - 1/2

x = 3/2

So one point on the graph would be (3/2, 6). You can choose different values for y and solve for x to get more points to plot on the graph. Once you have several points, you can connect them with a line to show the relationship between x and y.

(Like I said, it was a bit hard to answer this question, so I'm not 100℅ sure this is the correct answer, but if it is then I hoped it helped.)

Based on the given information, the net amount your firm will receive on the next transaction date can be calculated by subtracting the variable interest rate from the fixed interest rate.

In the swap agreement, your firm pays a fixed interest rate of 5.50 percent and receives a variable interest rate equal to LIBOR (London Interbank Offered Rate) plus 150 basis points. LIBOR is currently 3.75 percent.

To calculate the net amount your firm will receive on the next transaction date, we need to subtract the variable interest rate from the fixed interest rate.

Fixed interest rate: 5.50%

Variable interest rate: LIBOR (3.75%) + 150 basis points (1.50%) = 5.25%

Therefore, the net amount your firm will receive on the next transaction date is the difference between the fixed interest rate and the variable interest rate, which is 0.25%.

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Answer:

1st option

Step-by-step explanation:

at the 3rd hour, the money was $100

At 7th hour, the money increased to $160

Now, the rate is,

(160-100)/(7-3)

= 60/4

= 15

so, $15 per hour

Answer:

Jupiter is the biggest planet

The graph of y=3x^4-16x^3+24x^2+48 is concave down for x values greater than or equal to 0.

The graph of y=3x^4-16x^3+24x^2+48 is an example of a polynomial function. To determine the concavity of a polynomial function, we must first identify the intervals where the function is increasing and decreasing. In this case, the function is increasing for all x values greater than or equal to 0.

Next, we must find the second derivative and determine the intervals where the second derivative is negative. If the second derivative is negative, then the graph is concave down. For this polynomial, the second derivative is y'' = -48x + 48, which is negative for all x values greater than or equal to 0. This means that the graph of y=3x^4-16x^3+24x^2+48 is concave down for all x values greater than or equal to 0.

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The rectangular coordinates of each point (4, 60°) are (2, 2 * sqrt(3)). To find the rectangular coordinates of a point given in polar coordinates, we use the following formulas:

\(x = r cos(theta)\)
\(y = r sin(theta)\)

where r is the distance from the origin (also known as the radial coordinate) and theta is the angle between the positive x-axis and the line connecting the point to the origin (also known as the angular coordinate).

For example, let's say we have a point given in polar coordinates as (4, 60°). To find its rectangular coordinates, we plug in the values into the formulas:

x = 4 cos(60°) = 4 * 0.5 = 2
y = 4 sin(60°) = 4 * sqrt(3)/2 = 2 * sqrt(3)

Therefore, the rectangular coordinates of the point (4, 60°) are (2, 2 * sqrt(3)).

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Answer:

1) y=4

2) y=7

3) x=6

Step-by-step explanation:

to get y, divide x by 2. to get x, multiply y by 2

Answer:

y = 3 + 5x

Step-by-step explanation:

y - 5x = 3 ( isolate y by adding 5x to both sides )

y = 3 + 5x

Each row of a unitary matrix is orthogonal to every other row, and each row has a norm of 1, by the properties of unitary matrices.

In a unitary matrix, each row is orthogonal to every other row, and each row has a norm of 1 due to the properties of unitary matrices. A unitary matrix is a square matrix whose conjugate transpose (also known as the adjoint or Hermitian transpose) is equal to its inverse. Mathematically, if U is a unitary matrix, then \(U^H * U = U * U^H = I\), where \(U^H\) represents the conjugate transpose of U, and I is the identity matrix. To understand why each row of a unitary matrix is orthogonal to every other row, consider the product of two rows, say row i and row j, of the unitary matrix U. This product can be expressed as the dot product of the two rows:

\(= row_i * row{_j^H\)

Since U is unitary, the product \(U^H * U\) is equal to the identity matrix I. Therefore, we have:

\(row_i * row_j^H = (U * U^H)_{ij\)

\(= I_{ij \\= δ_{ij\)

Here, δij is the Kronecker delta, which is 1 if i = j and 0 otherwise. This implies that the dot product of row i and row j is 1 if i = j (for the same row) and 0 otherwise. Hence, the rows of a unitary matrix are orthogonal to each other. Additionally, the norm of a vector is defined as the square root of the dot product of the vector with itself. Considering a row of a unitary matrix as a vector, the dot product of a row with itself will be:

dot product(i, i) \(= row_i * row_i^H\)

=\((U * U^H)_{ii\)

=\(I_ii\)

= 1

This shows that the norm of each row of a unitary matrix is equal to 1. Therefore, each row of a unitary matrix is orthogonal to every other row, and each row has a norm of 1 due to the properties of unitary matrices.

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Eliza and Sahana need to work the same number of hours until they earn the same amount of money before going to the movies.

To determine the number of hours Eliza and Sahana need to work before going to the movies, we can set up an equation based on the given information.

Let's assume Eliza earns x dollars per hour and Sahana earns y dollars per hour. Since they need to earn the same amount of money, we have the equation x * h = y * h, where h represents the number of hours they work.

By canceling out the common factor of h, we are left with x = y. This equation implies that Eliza and Sahana must earn the same hourly rate in order to earn the same amount of money. Therefore, they need to work until they both have the same hourly wage in order to go to the movies.

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Answer:

Give me change for a dollar, please" said the customer named Bob. - "I'm sorry," said Miss Jones, the cashier, after carefully searching the box, "but I can't do it with the coins I have." - "Can you then change half a dollar?" Miss Jones shook her head. Actually, he said, "I don't even have a quarter, a dime, or a nickel to change!" - "You don't have any coins?" asked Bob. - "Oh yes" said Miss Jones, "I have $ 1.15 in coins." What exactly were the coins in the cash register? Reason for the answer.

Step-by-step explanation:

Answer:

medio dólar, cuarto de cuatro dimes || half dollar, quarter four dimes

Answer:

\(120^{0}\)

Step-by-step explanation:

Given: pentagon (5 sided polygon), two interior angles = \(90^{0}\) each, other three interior angles are congruent.

Sum of angles in a polygon = (n - 2) × \(180^{0}\)

where n is the number of sides of the polygon.

For a pentagon, n = 5, so that;

Sum of angles in a pentagon = (5 - 2) × \(180^{0}\)

                                                = 3  × \(180^{0}\)

                                                = \(540^{0}\)

Sum of angles in a pentagon is \(540^{0}\).

Since two interior angles are right angle, the measure of one of its three congruent interior angles can be determined by;

\(540^{0}\) - (2 × \(90^{0}\))  = \(540^{0}\) - \(180^{0}\)

                       = \(360^{0}\)

So that;

the measure of the interior angle = \(\frac{360^{0} }{3}\)

                                                        = \(120^{0}\)

The measure of one of its three congruent interior angles is \(120^{0}\).

Answer:

\(3\)

Step-by-step explanation:

\(\mathrm{The\ slope\ of\ a\ line\ passing\ through\ the\ points\ (x_1,y_1)\ and\ (y_2,y_1)\ is\ given\ by:}\\\mathrm{Slope(m)=\frac{y_2-y_1}{x_2-x_1}}\\\\\mathrm{According\ to\ the\ question,}\\\mathrm{(x_1,y_1)=(0,-2)}\\\mathrm{(x_2,y_2)=(-2,-8)}\)

\(\mathrm{Therefore\ the\ slope=\frac{-8-(-2)}{-2-0}=\frac{-8+2}{-2}=3}\)

The expression for the given condition is: 8n + 3 = 9

Number is a mathematical word that is used to measure various attributes or count items. In essence, it is arithmetic values. Natural numbers, whole numbers, rational or irrational numbers are among the several types of counting numbers.

The supplied condition is three greater than the product of a number, and eight equals nine, according to the query.

So let's suppose that n is the number.

Three is more than the result of a number and eight, according to the question:

The necessary formula will be: 8n + 3 = 9.

Now, n has been computed to be worth: n = 6/8 = 3/4.

As a result, 3/4 is the value of the supposed integer "n."

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Answer:

Finding the exact volume is physically impossible, however, you can find a rough estimate by calculating side lengths and that stuff

Step-by-step explanation:

Answer:

see below

Step-by-step explanation:

we are given

\( \displaystyle \frac{ {29}^{3} + {29}^{2} + 30 }{ {29}^{4} - 1} = \frac{1}{28}\)

we want to prove it algebraically

to do so rewrite 30:

\( \displaystyle \frac{ {29}^{3} + {29}^{2} + 29 + 1}{ {29}^{4} - 1} \stackrel{ ? }{= }\frac{1}{28}\)

let 29 be a thus substitute:

\( \displaystyle \frac{ {a}^{3} + {a}^{2} + a + 1}{ {a}^{4} - 1} \stackrel{ ? }{= }\frac{1}{28}\)

factor the denominator:

\( \rm\displaystyle \frac{ {a}^{3} + {a}^{2} + a + 1}{ ({a}^{2} + 1) (a- 1)(a + 1)} \stackrel{ ? }{= }\frac{1}{28}\)

Factor out a²:

\( \rm\displaystyle \frac{ {a}^{2} ({a}^{} + 1)+ a + 1}{ ({a}^{2} + 1) (a- 1)(a + 1)} \stackrel{ ? }{= }\frac{1}{28}\)

factor out 1:

\( \rm\displaystyle \frac{ {a}^{2} ({a}^{} + 1)+1( a + 1)}{ ({a}^{2} + 1) (a- 1)(a + 1)} \stackrel{ ? }{= }\frac{1}{28}\)

group:

\( \rm\displaystyle \frac{ ({a}^{2} +1)( a + 1)}{ ({a}^{2} + 1) (a + 1)(a - 1)} \stackrel{ ? }{= }\frac{1}{28}\)

reduce fraction:

\( \rm\displaystyle \frac{ \cancel{({a}^{2} +1)( a + 1)}}{ \cancel{({a}^{2} + 1) (a + 1)}(a - 1)} \stackrel{ ? }{= }\frac{1}{28}\)

\( \displaystyle \frac{1}{a - 1} \stackrel {?}{ = } \frac{1}{28} \)

substitute back:

\( \displaystyle \frac{1}{29 - 1} \stackrel {?}{ = } \frac{1}{28} \)

simplify substraction:

\( \displaystyle \frac{1}{28} \stackrel { \checkmark}{ = } \frac{1}{28} \)

hence Proven

Answer:

Step-by-step explanation:

Identity to use:

1+N+N^2+N^3 = (N^4-1)/(N-1)

Let N=29

1+29+29^2+29^3 = (29^4-1) / (29-1)

30+29^2+29^3 = (29^4-1) / 28

Transpose and re-arrange

(29^3+29^2+30) / (29^4-1)  =  1 / 28     QED

Answer:

There is no association

Step-by-step explanation:

Points do not follow a trend

Please mark Brainliest

Answer:

supplemental

Step-by-step explanation:

adjacent, or consecutive, angles are equal to 180 degrees

The area of the image is 3²(12) in² ( option B)

The size by which the shape is enlarged or reduced is called as its scale factor. It is used when we need to increase the size of a 2D shape, such as circle, triangle, square, rectangle, etc.

The area factor is the square of the linear scale factor

for example if the scale factor is 5,the area scale factor is 5²

Similar the linear scale factor is 3, the area scale factor = 3²

therefore the area of the new image is 3²× 12 in²

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The polynomial division of f(x) = x⁸ - 1 by d(x) = x + 2, then remainder is -1/(x + 2).

What is the Polynomial Division?

A polynomial is divided by another polynomial in an arithmetic operation called division, usually with a lower degree than the dividend. A polynomial may or may not be produced when two polynomials are divided.

To perform the polynomial division of f(x) = x⁸ - 1 by d(x) = x + 2, we can use the standard long division algorithm. Here are the steps:

x + 2 | x⁸ + 0x⁷ + 0x⁶ + 0x⁵ + 0x⁴ + 0x³ + 0x² + 0x - 1

   - x⁸ - 2x⁷

   ------------

         2x⁷ + 0x⁶ + 0x⁵ + 0x⁴ + 0x³ + 0x² + 0x

         2x⁷ + 4x⁶

         ----------

                   - 4x⁶ + 0x⁵ + 0x⁴ + 0x³ + 0x² + 0x

                   - 4x⁶ - 8x⁵

                   ------------

                              8x⁵ + 0x⁴ + 0x³ + 0x² + 0x

                              8x⁵ + 16x⁴

                              ------------

                                        -16x⁴ + 0x³ + 0x² + 0x

                                        -16x⁴ - 32x³

                                        --------------

                                                     32x³ + 0x² + 0x

                                                     32x³ + 64x²

                                                     --------------

                                                                 -64x² + 0x

                                                                 -64x² - 128x

                                                                 ------------

                                                                          128x - 1

Therefore, we have:

(f(x))/(d(x)) = Q(x) + (R(x))/(d(x)) = x⁷ - 2x⁶ + 4x⁵ - 8x⁴ + 16x³ - 32x² + 64x - 128 + (-1)/(x + 2)

Hence, the polynomial division of f(x) = x⁸ - 1 by d(x) = x + 2, then remainder is -1/(x + 2).

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The Student A, Student C and Student D is correct in their approach and final answer about the vertical asymptote . That is Ava, Jon and Kyle are correct.

Given rational function is f(x) = 4x/(x-2), We have to find the vertical asymptote for the given rational function using different methods by four different students.

Student A's approach and final answer:

Factor the denominator, set it equal to zero, and solve for x:

x - 2 = 0x = 2The vertical asymptote is x = 2. Student A's approach is correct to find the vertical asymptote for a rational function. Therefore, Student A's final answer is correct.

Student B's approach and final answer:

Identify the degree of the numerator and denominator. The degree of the numerator is 1, and the degree of the denominator is 1. Since the degrees of the numerator and denominator are equal, divide the coefficient of the highest degree term of the numerator by the coefficient of the highest degree term of the denominator to get the horizontal asymptote.

The horizontal asymptote is y = 4. Student B's approach is wrong since they are finding the horizontal asymptote instead of the vertical asymptote. Therefore, Student B's final answer is wrong.

Student C's approach and final answer:

Use a graphing calculator to graph the function. The vertical asymptote appears at x = 2. Student C's approach is correct to find the vertical asymptote for a rational function. Therefore, Student C's final answer is correct.

Student D's approach and final answer:

Use long division to divide the numerator by the denominator.4x / x-2 = 4 + 8/(x-2)

The vertical asymptote is x = 2. Student D's approach is correct to find the vertical asymptote for a rational function. Therefore, Student D's final answer is correct.

Therefore, the correct answers are Student A, Student C and Student D.

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Complete Question:

Four students determined the vertical asymptote for this rational function. which student is correct in their approach and final answer? 4x 1/x-2

A)Ava set the denominator equal to 0 and solved for x. The vertical asymptote is x =2.

B)Kaley solved for x in the denominator. She determined that the vertical asymptote is x =-2.

C)Jon set the numerator equal to zero. He determined that the vertical asymptote is y =-14.

D)Kyle determined the ratio of the leading coefficients of the numerator and denominator. The vertical asymptote is x = 4

Answer:

Look at the solution to your other similar question and see if you can figure this one out now.

Step-by-step explanation:

The elk population in 2014 will be 19,700 ,A population is an identified grouping of objects with the purpose of analysis and data collection.

A population is an identified grouping of objects with the purpose of analysis and data collection. Examples include people and animals. It comprises of a related collection of species that live in a specific area and have the ability to interbreed.

The population increased by 12,700-12,000 = 700 between the two measures, however, it did so over a period of 1 year, from 2004 to 2003. Divide 700 elk by 1

The elk population in 2014 will be 19,700We must first establish the method

2014=700 should add 10 times then we will get the 2014th year population.

so the population of 2014th will 19700

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5 km = 5000 meters

66 minutes = 3960 seconds

Meters per second = 5000/3960 = 1.26

The answer is A.1.26

Answer:

x = 6.375

Step-by-step explanation:

Step 1:

4.2+0.8 = 5

(1.6x+1.8)÷2.4 = 5

Step 2:

5 · 2.4 = 12

1.6x + 1.8 = 12

Step 3:

12 - 1.8 = 10.2

1.6x = 10.2

Step 4:

10.2 ÷ 1.6 = 6.375

x = 6.375