Find the sum of the first 20 terms of an arithmetic sequence with an 18th term of 8.1 and a common difference of 0.25.
*Please explain your answer

Answer:

sushi* and there is no picture.

Step-by-step explanation:

We can predict that 90 out of the 450 students will choose panther as the mascot.

First, we know that from a random sample of 50 students, 30 of these 50 students select the panther.

Then the relative frequency of students that want a panther as the mascot is:

R = 30/50 = 3/5

Now, the prediction of the number of students that will choose panther as the mascot is given by the relative frequency times the total number of students.

We know that there aer 450 students in the school, then the prediction will be:

p = 450*R = 450*(3/5) = 90

So we can predict that 90 out of the 450 students will choose panther as the mascot.

If you want to learn more about relative frequencies:

https://brainly.com/question/3857836

#SPJ1

The sentence "64% of women in the sample are the principal investor in their household" serves as an example of descriptive statistics.

This sentence provides a summary of the survey's data and a descriptive statistic (percentage) that characterizes the sample's characteristics.

According to the survey's findings, "there is a correlation between American women and being the principal investor in their household." The sample data are used to draw this conclusion about the population. Despite the fact that the sample is not representative of all American women, the findings indicate that a sizable number of the women in the sample are the principal investors in their households.

Learn more about Surveys here:

brainly.com/question/13532910

#SPJ4

Answer:

A

Step-by-step explanation:

Marta will need 529 square inches of material to make the flag.

To find the area of the flag, we need to find the length and width of the rectangle that the flag forms. We can do this by adding the two given side lengths and dividing the result by 2:

So the length of the flag is 29.5 inches and the width is 18 inches. To find the area of the flag, we multiply the length by the width:

Thus, Marta will need 529 square inches of material to make the flag. At $0.15 per square inch, this will cost her 529 square inches * $0.15/square inch = $<<529*0.15=79.35>>79.35.

Learn more about Rectangle here:

https://brainly.com/question/19819849

#SPJ4

Answer:

D

Step-by-step explanation:

I hope this helps :) Have a lovely day!!!

Answer:

Step-by-step explanation:

You want to know the amount of commission earned by a real estate agency and the agent on the sale of a house for $323,000 if the agency earns 4.5% and the agent earns 20% of that.

The amount of commission is the product of the commission rate and the value of the sale. For the agency, the commission earned is ...

  0.045 × $323,000 = $14535

The agency earned $14,535 on the sale.

The agent earned 20% of that amount, or ...

  0.20 × $14,535 = $2907

The agent earned $2907 on the sale.

<95141404393>

Answer:

5. Vertical

6. 133°

Step-by-step explanation:

These are vertical angles; Vertical angles are congruent. Therefore, x = 133°.

Step-by-step explanation:

Let S be the number of single tickets sold.

Let C be the number of couple tickets sold.

\(20s + 35c = 2845\)

\(s + c = 128\)

Multiplying the lower system by -20 we get;

\(20s + 35c = 2845\)

\( - 20s - 20c = - 2560\)

Adding the two systems i get;

\(35c - 20c = 2845 - 2560\)

\(15c = 285\)

\(c = \frac{285}{15} = 19\)

Substituting C=19 in s+c=128,

we get that;

\(s + 19 = 128\)

\(s = 128 - 19\)

\(s = 117\)

Answer:

It would take 12.1 years.

Step-by-step explanation:

We are given with $3000 invested in bank pays 6.75% interest compounded semi annually to the nearest 10th. We are asked to find the number of years the bank reaches $6700.

Let's use the compound interest formula.

\(A= P(1+\frac{r}{n}) ^{nt}\)

We know A=6700

P=3000

r =0.0675

n=2(because compounded semiannually)

t =?( we need to find it)

Plug in the known values into the formula.

\(6700=3000(1+\frac{0.0675}{2}) ^{2*t}\)

Simplify and solve for 't'

Divide both sides by 3000

\(2.23333= (1.03375)^{2t}\)

Take log on both sides

\(log(2.23333) = 2t log(1.03375)\)

Divide both sides by log(1.03375)

24.2067=2t

Divide both sides by 2.

t=12.10...

To round to nearest 10th, we get t=12.1 years.

Answer:

x = 20, y = 3

Step-by-step explanation:

Since the triangles are similar then the ratios of corresponding sides are in proportion, that is

\(\frac{TU}{QR}\) = \(\frac{UV}{RS}\) ( substitute values )

\(\frac{x}{4}\) = \(\frac{30}{6}\) = 5 ( multiply both sides by 4 )

x = 20

and

\(\frac{QS}{TV}\) = \(\frac{RS}{UV}\) ( substitute values )

\(\frac{y}{15}\) = \(\frac{6}{30}\) ( cross- multiply )

30y = 90 ( divide both sides by 30 )

y = 3

you just need to put the values of a and b where they have to be

.

hope I helped!

Answer: 1728=12³

Step-by-step explanation:

\(1728=\\\\432*4=\\\\108*4*4=\\\\27*4*4*4=\\\\3*3*3*4*4*4=\\\\3^3*4^3=\\\\(3*4)^3=\\\\12^3\)

Net rendering is a method of rendering a computer-generated animation or image on multiple computers over a network.

Net rendering is a method of rendering a computer-generated animation or image on multiple computers over a network. This technique allows a user to take advantage of the computing power of multiple computers to render a scene. To do this, the user would divide the scene into several parts, assigning each part to a different computer. The computers would then render each part of the scene independently, and then the results are combined into a single image. This process can significantly reduce the time required to render a scene, as the workload is distributed over multiple computers. For example, if it would normally take a single computer 10 minutes to render a scene, net rendering could reduce that time to 2 minutes.

Learn more about significantly here:

https://brainly.com/question/14789537

#SPJ1

The answer to the question is True. This can be answered by the concept of Trigonometry.

First, let's recall the definitions of the asymptotic notations used in the question

f(n) = O(n²) means that there exists a positive constant c and a positive integer N such that f(n) <= c × n² for all n >= N.

g(n) = Theta(n²) means that there exist positive constants c1, c2, and a positive integer N such that c1 × n² <= g(n) <= c2 × n² for all n >= N.

Now, since f and g are non-decreasing positive functions, we can assume without loss of generality that N > 0 and c1 > 0. Then, for all n >= N, we have:

f(n) <= c × n² (by the definition of O notation)

c1 × n² <= g(n) <= c2 × n² (by the definition of Theta notation)

Multiplying the first inequality by c1, we get:

c1 × f(n) <= c × c1 × n²

Since c1 and n^2 are positive, we can divide both sides by n² to obtain:

c1 × (f(n) / n²) <= c × c1

Now, let's define a new function h(n) = f(n) / n². Since f(n) and n² are both non-decreasing positive functions, h(n) is also non-decreasing and positive. Moreover, for all n >= N, we have:

h(n) <= (c × c1) / c1 = c

Therefore, we have shown that there exists a positive constant c and a positive integer N such that h(n) <= c for all n >= N. This means that h(n) = O(1).

Using this result, we can conclude that:

f(n) = h(n) × n² = O(1) × n² = O(n²)

Therefore, we have:

f(n) = O(n²) and g(n) = Theta(n²) => f(n) = O(g(n))

Therefore, the answer to the question is True.

To learn more about Trigonometry here:

brainly.com/question/28863906#

#SPJ11

When constructing an angle bisector, the compass should be used to make three arcs, but these arcs do not necessarily need to have the same radius.

To construct an angle bisector, you can follow these steps:

In step 1, the radius of the first arc can be any length, as long as it intersects both sides of the angle. The radius of the second and third arcs should be the same as the first arc because they are drawn using the same width setting on the compass. However, the radius of the second and third arcs does not need to be the same as the radius of the first arc. The important thing is that all three arcs are drawn using the same width setting on the compass so that they are all equidistant from the vertex of the angle.

The complete question is:-

When constructing an angle bisector, the compass must be used to make three arcs. Do all three arcs need to have the same radius? Explain.

- Yes, because then the marks are equidistant from each other.

- Yes, because you need the points of intersection of the angle and arcs to form a parallelogram.

- No; the second two arcs must have the same radius but it can be different from the first.

- No; any three radii will work.

To learn more about angle bisector, refer:-

https://brainly.com/question/2478436

#SPJ4

Susie needs to select minimum 14 to be sure to get 6 marbles of the same color.

With replacement

(3R, 7G, 10B)

P(at least 1 red marble) = 1- p(no red marbles) = 0.5563

P(2R, 2G, 2B) = 0.0827

P(4B, 4G) = 0.0657

Without replacement

P(at least 1 red marble) = 1- p(no red marbles) = 0.6009

P(2R, 2G, 2B) = 0.0731

P(4B, 4G) = 0.0583

if we select 3+5+5=13 marbles then there is only one way that we won't have at least 6 marbles of the same color when 3R, 5G and 5B are selected, so to get 6 marbles of the same color, we need to select minimum 14, then we will be 100% sure.

To learn more about probability, click here:

brainly.com/question/30034780

#SPJ4

The linear equation doesn't have a solution.

The linear equation given is illustrated as: 4x-(2x-1) = x+5+x-6

This will be solved thus:

4x - 2x + 1 = x+5+x-6

4x - 2x + 1 = 2x - 1.

2x + 1 = 2x - 1

Collect like terms

2x - 2x = -1 - 1

0 = -2

This illustrates that the equation doesn't have a solution.

Learn more about equations on:

brainly.com/question/28280501

#SPJ1

The solution of the given expression is equal to 2.17.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that the expression is \(2^{x+1} = 9\). The expression will be solved by using the logarithmic property below,

\(2^{x+1}=9\)

Take logs on both sides,

(x+1) ln(2) = ln(9)

(x+1) = ln(9) / ln(2)

x + 1 = 3.17

x = 2.17

Hence, the expression will be solved by taking log on both sides.

To know more about an expression follow

https://brainly.com/question/25710806

#SPJ1

Answer:

4

Step-by-step explanation:

Ashley drinks 4 cups of milk a day, hope this helps

Answer:

4.8038 cups of milk a day. Simplified: 4 cups a day.

Step-by-step explanation:

4 cups also equals one quart (qt)

Hope this helps :)

Answer:

Step-by-step explanation:

Answer:

A. Add 1/6 to both sides.

Step-by-step explanation:

Hope it helps

Answer:

  15 minutes

Step-by-step explanation:

Their rate together is 1/6 floor per minute.

Her rate alone is 1/10 floor per minute.

His rate is the difference of these:

  1/6 - 1/10 = 5/30 -3/30 = 2/30 = 1/15 . . . . floor per minute

It would take Jacob 15 minutes to do it alone.

Answer:

A=l×b

18 = l × b

b = 18/6

b = 3

9514 1404 393

Answer:

  $500

Step-by-step explanation:

The greatest rental time is 5 hours, which is 10 half-hours. The value of C for h=10 is ...

  C = 45·10 +50 = 450 +50 = 500

The greatest value in the range for this situation is $500.

Answer:

Step by step explanation:

To convert a radical in exponential form, the power inside the radical converts in the numerator of the exponential.

And the root converts in the denominator.

Then, in exponential form would be:

We need to make approximately $28.85 an hour to make $60,000 a year, working 40 hours a week for 52 weeks.

To determine how much you need to make an hour to earn $60,000 a year, follow these steps:
1. Calculate the total hours worked in a year:

There are 52 weeks in a year, and you work 40 hours a week.

Multiply these values to find the total hours worked annually :

52 weeks * 40 hours/week = 2080 hours.
2. Divide the desired annual salary by the total hours worked:

To make $60,000 a year, divide this amount by the total hours worked (2080 hours):

$60,000 / 2080 hours = $28.85/hour.

For similar question on working.

https://brainly.com/question/2817542

#SPJ11

ItI > teritical I.p value <0.05, we fail to reject num hypothesis

Test statistic , t= x1-x2/s1.s1/n1+s2.s2/n2

=26-32/3.3/18+2.2/24

=-6/0.815=-7.3484

iti=7.2484

Teritical at >=0.05 I df=n1+n2+n3=40

Static testing is the process of reviewing the code and creating documents and requirements before it is performed to detect errors instead of actually running the code. The major objective is to identify faults early in the development process because it is typically simpler to identify the potential causes of failures in this way.

A sort of testing called static testing is done on a piece of software without running the actual code. We examine and validate the product and its supplementary materials during testing.

Dynamic testing, in contrast, is a sort of testing done on software while the code is being executed.A test statistic is a figure obtained from a statistical analysis. It explains how far your observed data is from the null hypothesis, which states that there is no correlation between the variables or distinction between the sample groups.

To learn more about Teritical , visit

https://brainly.com/question/29850660

#SPJ4

The number of cases per batch that should be produced to minimize cost is: 300 units

The number of cases per batch that should be produced to minimize cost can be found by using the Economic Order Quantity.

The Economic Order Quantity (EOQ) is a calculation performed by a business that represents the ideal order size that allows the business to meet demand without overspending. The inventory manager calculates her EOQ to minimize storage costs and excess inventory.  

Thus:

Number of cases per batch = √((2 * Setup costs * annual demand)/ holding costs for the year)

Solving gives:

√((2 * 30 * 15000)/10)

= √90000

= 300 units

Read more about Economic Order Quantity at: https://brainly.com/question/26814787

#SPJ1

Answer:

b = 13.5

Step-by-step explanation:

There are different ways you can solve this equation. Let me know if you'd like to know a different way.

Have a Good Rest of Your Day.