Can anyone help me out with my Math homework plz and also can you provide step by step explanation of the attachment I will give you 20 points:

a) To find the number of different first names President Snow could create using the letters in "Coriolanus", we can use the formula for permutations with repeated letters. There are 10 letters in "Coriolanus", but "o" and "i" each appear twice, so the total number of permutations is:

10! / (2! * 2!) = 45,360 / 4 = 11,340

Therefore, President Snow could create 11,340 different first names using the letters in "Coriolanus".

b) If the consonants in "Coriolanus" are kept together, we have "Crlns" as a string of consonants. This gives us 5 consonants to arrange, so the number of permutations is:

5! = 120

Therefore, President Snow could create 120 different first names using the consonants in "Coriolanus" kept together.

c) To count the number of different first names using "Coriolanus" that end with a vowel, we can consider the last letter of the name. There are 4 vowels in "Coriolanus", so there are 4 choices for the last letter. For the other letters, we can use the remaining 9 letters (excluding the last vowel) in any order. Therefore, the number of different first names that end with a vowel is:

4 * 9! = 1451520

Therefore, President Snow could create 1,451,520 different first names using "Coriolanus" that end with a vowel.

d) If the consonants in "Coriolanus" are kept in alphabetical order, then we have "aclnorsu". This gives us 8 letters to arrange, so the number of permutations is:

8! = 40,320

Therefore, President Snow could create 40,320 different first names using the consonants in "Coriolanus" in alphabetical order.

e) To find the number of different first names President Snow could create without repeating any letters, we can use the formula for permutations without repetition. There are 10 letters in "Coriolanus", so the total number of permutations is:

10! = 3,628,800

Therefore, President Snow could create 3,628,800 different first names without repeating any letters.

a) To find the number of ways to select 2 youths from the group of eligible youths, we can use the formula for combinations. We have 64 boys and 59 girls, so the total number of eligible youths is 64 + 59 = 123. The number of ways to select 2 youths is:

123C2 = (123 * 122) / 2 = 7503

Therefore, there are 7,503 ways to select 2 youths from the entire group of eligible youths.

b) To find the number of ways to select a single boy and girl as "tributes" from the eligible youths, we can use the product rule. There are 64 boys to choose from and 59 girls to choose from, so the number of ways to select one boy and one girl is:

64 * 59 = 3,776

Therefore, there are 3,776 ways to select a single boy and girl as "tributes" from the eligible youths.

c) To find the number of ways to select a girl first followed by her brother, we can use the product rule again. There are 59 girls to choose from for the first selection, and after a girl is selected, there are 63 youths left to choose from (excluding the selected girl and the 14 pairs of brother and sister groups). Therefore, the number of ways to select a girl first followed by her brother is:

59 *

Answer:

Y= 1/7x + 2/7

Step-by-step explanation:

2/7 equals to b

Hope this helps.. :)

Answer:

The one on the top right
⊕⊕⊕⊕
O O O O

O O O O

Step-by-step explanation:

Total space for muffins: 3*4=12

Filled: 4

4/12=1/3

Hope this helps!

Answer:

Q: Which picture shows a tray of muffins that is 1/3 full?

Answer:

Hope it helps and have a great night! =D

Answer:

2/9

Step-by-step explanation:

P=4/18=2/9

Answer:

It won't because the area is length times height. So 11 x 11. So some of the car will be hanging out of the garage.

Step-by-step explanation:

The simple interest rate that is equivalent to the discount rate can be determined by multiplying the discount rate by (Time / 365).

i) To determine the maker of the note, we need to identify who issued the promissory note. Unfortunately, the information provided does not specify the name of the maker or issuer of the note. Without additional information, it is not possible to determine the maker of the note. ii) To calculate the face value of the note, we can use the formula for the maturity value of a promissory note: Maturity Value = Face Value + (Face Value * Interest Rate * Time). Given that the maturity value is RM7,266 and the note matured on 11 June 2022 (assuming a 365-day year), and Zafran held the note for 52 days, we can calculate the face value: 7,266 = Face Value + (Face Value * 0.09 * (52/365)). Solving this equation will give us the face value of the note.

iii) The discount date is the date on which the note was discounted at the bank. From the information provided, we know that Zafran discounted the note after holding it for 52 days. Therefore, the discount date would be 52 days after 10 January 2022. iv) The discount rate can be calculated using the formula: Discount Rate = (Maturity Value - Discounted Value) / Maturity Value * (365 / Time). Given that the discounted value is RM7,130.77 and the maturity value is RM7,266, and assuming a 365-day year, we can calculate the discount rate. v) The simple interest rate that is equivalent to the discount rate can be determined by multiplying the discount rate by (Time / 365). This will give us the annualized interest rate that is equivalent to the discount rate.

To learn more about simple interest rate click here: brainly.com/question/13261862

#SPJ11

Answer:

I think the last one doesn't fit in

Domain of function =  {-3 , -4}

Range of function =  {4 , -1 , -4}

The domain of a function is the set of values that we are allowed to plug into our function. This set is the x values in a function such as f(x). The range of a function is the set of values that the function assumes. This set is the values that the function shoots out after we plug an x value in.

Given,

points on graph of a function are

(-3 , 4) , (-3 , -1) , (-4 , -4)

Range is set of y-values,

Range = {4 , -1 , -4}

Domain is set of x - values

Domain = {-3 , -4}

Hence, Domain and range of function are {-3 , -4} and {4 , -1, -4} respectively.

Learn more about domain and range here:

https://brainly.com/question/28135761

#SPJ1

Answer:

6.8 inches

Step-by-step explanation:

inch= 1 x

feet= 5 34

1×34÷5

The function x(t) = 4t³ - t² - 4t + 50 is given. We need to find the value of x when t = 3.

Given the function x(t) = 4t³-1t² - 4 t + 50, we can find the value of x at t = 3 by substituting t = 3 into the function. This gives us x(3) = 4(3)³ - (3)² - 4(3) + 50 = 108 - 9 - 12 + 50 = 137. Therefore, the value of x at t = 3 is 137. To find the value of x at t = 3, we substitute t = 3 into the given function and evaluate it. x(3) = 4(3)³ - (3)² - 4(3) + 50 = 4(27) - 9 - 12 + 50 = 108 - 9 - 12 + 50 = 137. Therefore, the value of x at t = 3 is 137.

To know more about functions here: brainly.com/question/31062578

#SPJ11

The most appropriate replication method for Kia Darby's study of public schools in Appalachia is to compare three schools from the same region, as opposed to replicating Dr. Shamus Khan's methodology of studying an elite boarding school.

Replication is an important aspect of scientific research that allows for the verification of research findings and the strengthening of scientific knowledge. However, it is essential to choose an appropriate replication method that is aligned with the research question, context, and variables.

Dr. Shamus Khan's study of an elite boarding school cannot be replicated in the context of public schools in Appalachia. The educational setting, student demographics, and institutional resources are vastly different, making it challenging to compare and generalize findings.

Comparing three public schools from the same region is a more appropriate replication method for Kia Darby's study. This approach allows for the control of confounding variables and the examination of similarities and differences in school performance, culture, and outcomes. Additionally, Kia could gather statistical data from archives, conduct interviews with school personnel and students, and observe classroom interactions to gain a comprehensive understanding of the research question.

Overall, replication is a crucial aspect of scientific research, and researchers should carefully consider the replication method that aligns with their research question and context.

Learn more about replication here: brainly.com/question/31456037

#SPJ11

Answer:

5240

Step-by-step explanation:

The standard deviation of a sample proportion is given by the formula:

σ = sqrt((p * (1 - p)) / n)

where σ is the standard deviation, p is the sample proportion, and n is the sample size.

If we want the standard deviation to be one-half of what it was for a sample of size 100, we can write the following equation:

(sqrt((p * (1 - p)) / n)) / 2 = sqrt((p * (1 - p)) / 100)

To simplify the equation, we can square both sides:

((p * (1 - p)) / n^2) / 4 = (p * (1 - p)) / 100

Simplifying further:

100 * n^2 = 4 * 1

n^2 = (4 * 1) / 100

n^2 = 0.04

Taking the square root of both sides:

n = sqrt(0.04)

n = 0.2

Therefore, the sample size should be 0.2. However, since the sample size must be a positive integer, we round it up to the nearest whole number. Therefore, the sample size should be 1.

To know more about deviation refer here

https://brainly.com/question/31548894#

#SPJ11

The correct answer is 15.

Given:

connie multiplies a number by 2 and gets 60 as her answer

let x is the number

then, 2x=60

or  x=30.

since , she should have divided the number by 2 to get the correct answer

According to the question,

Dividing the number by 2

Therefore , correct answer = 30/2 = 15

Learn more about division at :

https://brainly.com/question/28119824

#SPJ4

Answer:

slope of line AB = 5

Let the required line be 'l'.

since AB is parallel to 'l'.

so slope of 'l' = slope of AB = 5.

So, the required equation of line which passes through (4,5) and having slope 5 is given by

y - 5 = 5(x - 4).........[using slope point form]

y = 5x - 20 + 5

y = 5x - 15.

Step-by-step explanation:

Answer:

115

Step-by-step explanation:

(180 - 50) ÷ 2 = 65

180 - 65 = 115

Answer:

B = 150

Step-by-step explanation:

Since angles A and B are opposite interior angles, they are congruent.

8x - 10 = 3x + 90

8x - 3x = 90 + 10

5x = 100

x = 20

Now that we have the value of x, we have to solve for angle B.

B = 3x + 90

B = 3*20 + 90

B = 60 + 90

B = 150

Answer: the right answer on khan academy is 150° (with PROOF)

Answer:

It is 64. Pls mark me as brainliest.

Step-by-step explanation:

You divide.

576÷9=64

576÷9

9÷9=1

64/1

or

64

There both the same.

Answer:

Reduce 576/9 to lowest terms

The simplest form of  

576 /9 is 64/1

Step-by-step explanation:

Steps to simplifying fractions

Find the GCD (or HCF) of numerator and denominator

GCD of 576 and 9 is 9

Divide both the numerator and denominator by the GCD

576 ÷ 9

9 ÷ 9

Reduced fraction:  

64 /1

Therefore, 576/9 simplified to lowest terms is 64/1.

Answer:

See below

Step-by-step explanation:

The median is the middlemost term in a numerically ordered data set.

For example, if I had for my data set {2,2,3,5,6,7,8} then 5 would be the median because it's the middlemost term.

Answer:

Buffalo

Step-by-step explanation:

jfvjuvf

Answer:

90

Step-by-step explanation:

its a right angle

The types of concurrent constructions that are needed to find the centroid of a triangle include the following: B. intersection of the lines drawn to the midpoint of each side of the triangle to its opposite vertex.

In Mathematics and Geometry, the centroid theorem states that the centroid of a triangle is located at two-third (2/3) of the distance from the vertex to the midpoint of the (opposite) sides.

Generally speaking, the centroid of a triangle simply refers to the point where the three (3) medians of the triangle meet or intersect. This ultimately implies that, a centroid is a point of intersection of the lines from each vertex of a triangle to the midpoint of the opposite sides.

In this context, the types of concurrent constructions would be modeled by answer option B.

Read more on centroid theorem here: brainly.com/question/20627009

#SPJ1

Complete Question:

What types of concurrent constructions are needed to find the centroid of a triangle.

A. intersection of the lines drawn from each vertex of a triangle and perpendicular to its opposite side.

B. intersection of the lines drawn to the midpoint of each side of the triangle to its opposite vertex.

C. intersection of the lines drawn to bisect each vertex of the triangle.

D. intersection of the lines drawn perpendicular to each side of the triangle through its midpoint

Answer:

3.2

Step-by-step explanation:

Step-by-step explanation:

Consider X and Y with Var(X) = Var(Y) = 2/3 and Cov(X, Y) = 2/3. Then, Var(X + Y) ≠ Var(X) + Var(Y) because X and Y are not independent.

Let's consider two random variables X and Y, where X and Y are not independent.
The variance of the sum of X and Y is given by:
Var(X+Y) = Var(X) + Var(Y) + 2Cov(X,Y)
where Cov(X,Y) is the covariance between X and Y.

If X and Y are independent, then Cov(X,Y) = 0 and we have:
Var(X+Y) = Var(X) + Var(Y)

However, if X and Y are not independent, then Cov(X,Y) ≠ 0 and the variance of the sum of X and Y is not necessarily equal to the sum of their variances.
For example, let's say X and Y are the number of heads obtained in two consecutive flips of a biased coin. If the coin is biased such that the probability of obtaining a head on the first flip is 0.6 and the probability of obtaining a head on the second flip is 0.8, then X and Y are not independent.

The variance of X is:
Var(X) = npq = 2(0.6)(0.4) = 0.48
The variance of Y is:
Var(Y) = npq = 2(0.8)(0.2) = 0.32

The covariance between X and Y is:
Cov(X,Y) = E(XY) - E(X)E(Y) = (0.6)(0.8) - (0.6)(0.6)(0.8)(0.2) = 0.048

Therefore, the variance of the sum of X and Y is:
Var(X+Y) = Var(X) + Var(Y) + 2Cov(X,Y) = 0.48 + 0.32 + 2(0.048) = 0.896

As we can see, the variance of the sum of X and Y is not equal to the sum of their variances (0.48 + 0.32 = 0.8). This is because X and Y are not independent and their covariance contributes to the variance of their sum.

To practice more questions about covariance:

https://brainly.com/question/21287720

#SPJ11

Answer:

179 minutes

Step-by-step explanation:

From the information given, you know that the total cost of the long distance service is equal to 7 plus the result of multiplying 0.7 for the number of minutes:

Total cost=7+0.07x, where x is the amount of minutes.

Now, you can replace the total cost with 19.53 that is the amount Ali was billed and solve for x:

19.53=7+0.07x

19.53-7=0.07x

12.53=0.07x

x=12.53/0.07

x=179

According to this, the answer is that Ali was billed for 179 minutes.

a) Fiscal policy: Increase government spending or reduce taxes to boost aggregate demand (AD). Monetary policy: Lower interest rates or increase money supply to stimulate AD.

b) Impact depends on SRAS slope. Output ↑, unemployment ↓ in short run. Inflation ↑ if SRAS is steep.

c) Higher inflation expectations from persistent expansionary policies can lead to increased wages and prices, resulting in higher inflation in the long run.

d) Expansionary fiscal policy can lead to budget deficits, crowding out private investment, higher government debt, future tax burdens, and dependency on government intervention.

a) Fiscal policy involves using government spending and taxation to influence aggregate demand (AD) and stabilize the economy. To minimize the unemployment rate, the prime minister could implement expansionary fiscal policy by increasing government spending or reducing taxes. This would lead to an increase in AD, stimulating economic activity, and potentially reducing unemployment. Monetary policy, on the other hand, involves actions taken by the central bank to influence the money supply and interest rates. The prime minister could work with the central bank to implement expansionary monetary policy, such as lowering interest rates or conducting open market operations to increase the money supply. This would encourage borrowing and spending, boosting AD and potentially reducing unemployment.

b) If the central bank helps the prime minister achieve the goal of minimizing the unemployment rate, it can have short-run effects on both the unemployment rate and the inflation rate. Expansionary fiscal and monetary policies can increase AD, leading to increased output and potentially reducing unemployment in the short run. However, the impact on inflation will depend on the slope of the short-run aggregate supply (SRAS) curve. If the SRAS is relatively flat, the increase in output will have a larger impact on reducing unemployment without significantly increasing inflation. Conversely, if the SRAS is steep, the increase in output may lead to a significant increase in inflation with only a modest reduction in unemployment.

c) The opposition leader's argument is related to the long-run implications of the prime minister and central bank's agreement on inflation expectations. According to the AD-AS model, in the long run, the economy will reach the natural rate of unemployment (NRU) where the SRAS curve intersects the long-run aggregate supply (LRAS) curve. If expansionary fiscal and monetary policies are used persistently to reduce the unemployment rate below the NRU, it can create inflationary pressures. This may result in higher inflation expectations among households and businesses, leading to higher wage demands and increased prices.

d) If the prime minister chooses to use fiscal policy to minimize the unemployment rate, the opposition leader argues that it will also be costly in the long run. This is because expansionary fiscal policy, such as increasing government spending or reducing taxes, can lead to budget deficits. Persistent budget deficits can increase government debt and require borrowing, which may lead to higher interest rates and crowding out private investment. Higher government debt can also result in future tax burdens or reduced government spending on other essential areas, impacting long-term economic growth.

To learn more about SRAS slope, click here:

brainly.com/question/28793630

#SPJ1

Answer:

i think 223/499

Step-by-step explanation: