Students at Praline High are allowed to sign up for one English class each year. The numbers of students signing up for various English classes for the next school year are given in the following table:


Grade English I English II English III English IV Total
10th 60 165 20 15 260
11th 35 40 115 10 200
12th 10 25 90 145 270
Total 105 230 225 170 730


Part A: What is the probability that a student will take English IV? (2 points)

Part B: What is the probability that an 11th-grader will take either English II or English III? (2 points)

Part C: What is the probability that a student will take English III given that he or she is in the 11th grade? (2 points)

Part D: Consider the events "A student takes English I" and "A student is a 10th-grader." Are these events independent? Justify your answer. (4 points)

Answer:

A

Step-by-step explanation:

He saves allowance for 5 months     5 months * $6 = 30 dollars

  30 ÷ 3      would be the # of rides he can go on

Step-by-step explanation:

2y + z = 13

2x + z = 11

x + y + z=12

x= -1

y= 0

z= 13

To begin solving this problem, we need to determine the dimensions of the rectangular region that the farmer will fence in. Let's say the length of thr uses, is given by the equation:
e rectangle is L and the width is W. The perimeter of the rectangle, which will be the length of fencing the farme
2L + W = 350

Solving for W, we get:

W = 350 - 2L

Next, we need to divide the rectangular region into three smaller rectangles by placing two parallel fences. Let's say the two fences are placed along the length of the rectangle, dividing it into three sections with widths of x, y, and z. Therefore, we have:

L = x + y + z

Now, we can determine the area of the entire fenced-in region by summing the areas of the three smaller rectangles. The area of a rectangle is given by the equation:

Area = Length x Width

Therefore, the total area of the fenced-in region is:

Area = (xW) + (yW) + (zW)

Substituting W = 350 - 2L and L = x + y + z, we get:

Area = (x(350-2(x+y+z))) + (y(350-2(x+y+z))) + (z(350-2(x+y+z)))

Simplifying this equation, we get:

Area = 350(x+y+z) - 2(x^2 + y^2 + z^2)

To maximize the area, we need to take the derivative of this equation with respect to one of the variables (x, y, or z), set it equal to zero, and solve for the variable. This process is too complicated to do by hand, so we will use a calculator or computer program to find the maximum area.

After finding the maximum area, we can determine the dimensions of the region that give us this maximum area. We do this by using the equations we derived earlier:

W = 350 - 2L

L = x + y + z

With the maximum area and these equations, we can solve for the dimensions of the region that give us the maximum area.

In summary, the farmer should fence in a rectangular region with dimensions that maximize the total area of three smaller rectangles created by placing two parallel fences. The maximum area can be found by taking the derivative of the area equation and setting it equal to zero. The dimensions of the region that give us the maximum area can be found by using the equations we derived earlier.

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Answer:

c

Step-by-step explanation:

asdfghj

To identify which of the following options are true:

Option 1: Yes, the domains of g(X) and h(x) include all real numbers but since it says h(x) is restricted, Option 1 is not true.

Option 2: The function i(x) and h(x) are not inverse function because the inverse of log₃ (x + 1) is 3^x - 1. Option 2 is not true as well.

Option 3: Out of the 4 functions, i(x) is not the function that increases most rapidly. Hence, Option 3 is not true as well.

Option 4: The range of f(x) is y ≥ 0. The range of g(x) is y ≥ - 14. The range of h(x) is y > 1. The range of i(x) is all real numbers. Hence, the range of i(x) includes more negative y-values than the ranges of f(x), g(x), or h(x). Option 4 is true.

Null hypothesis (H0): There’s no effect in the population. Alternative hypothesis (Ha or H1): There’s an effect in the population.

The null and alternative hypotheses are two opposing ideas that researchers use a statistical test to analyze evidence for and against: The null hypothesis (H0) states that there is no influence in the population. Alternative hypothesis (Ha or H1): There is a population effect.

Identify the null and alternative hypotheses.

As well as the sample size, specify.

Choose a suitable statistical test.

Gather information (note that the previous steps should be done prior to collecting data)

Based on the sample data, compute the test statistic.

Examine the null hypothesis, usually indicated by H0.

Always write the alternative hypothesis, which is usually marked by Ha or H1, with less than, greater than, or not equals symbols, i.e., (,>,or).

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Answer:

The expression x⁴ + 8x³ + 34x² + 72x + 81 cannot be factored further using simple integer coefficients. It does not have any rational roots or easy factorizations. Therefore, it remains as an irreducible polynomial.

Answer:

Your answer is (4,1).

Step-by-step explanation:

5x - 2y = 18

5(4) - 2(1) = 18

20 - 2 = 18

18 = 18 (Which means it's correct)

Let me know if you need anymore help!

Answer:

D

Step-by-step explanation:

Answer:

300

Step-by-step explanation:

a square has 4 sides so you add both sides 60 + 60= 120, 90+90=180

120+180=300

Answer:

x = 5

Step-by-step explanation:

Because the factor of the polynomial is x - 5, we can infer that the zero would be the solution of this equation: x - 5 = 0

Therefore, the zero is x = 5.

The terms are matched is Exaggeration: Makes something seem too good or too bad.

Literary terminology refers to the techniques, styles, and formats used by writers and speakers to skillfully emphasize, decorate, or enhance their composition.

Reversal: Changes circumstances suddenly

Exaggeration: Makes something seem too good or too bad

Parody:  Mimics a subject directly

Ridicule: Makes a subject appear to be silly

Satire: Exposes human weakness

Hence, the sentences are matched above according to Literary terminology. It can refer to the playful techniques that comedians use to make us laugh, or the witty tricks that Wordsmith uses to shape new words and phrases in their composition.

Therefore, the terms are matched is Exaggeration: Makes something seem too good or too bad.

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Answer:

y=mx+b format...good ol 8th grade days :'))

Step-by-step explanation:

Summer-

200 for getting the job should be plugged into the b

15 an hour goes in the m space

25 hours of work gets plugged into the x

y=15(25)+200

y=575

Rose-

500 a week (25 hour week) so 20 an hour in the m space

nothing plugged into the b space because there is no extra cash to be added

25 hours of work gets plugged into the x

y=20(25)+0

y=500

Poppy-

30 an hour plugged into the m spot

nothing plugged into the b space because there is no extra cash to be added

25 hours of work gets plugged into the x

y=30(25)+0

y=750

Daisy-

350 for getting the job goes to the b space

12.50 an hour plugged into the m spot

25 hours a week gets plugged into the x

y=12.50(25)+350

y=662.5

Violet-

450 for getting the job gets placed into the b spot

6 an hour plugged into the m space

25 hours a week gets plugged into the x

y=6(25)+450

y=600

Hope this helps!

To find the number of seats won by each party from a database of election results, we need the specific information about the parties, the candidates, and the corresponding vote counts or seat allocations.

With that information, we can perform calculations or queries to determine the number of seats won by each party.

Here's a general outline of the steps involved:

Obtain the election database or data that includes information on parties, candidates, and their respective vote counts or seat allocations.

Analyze the database structure to identify the relevant tables or fields

that store the necessary information.

Use database query or analysis tools to extract the relevant data. Write a query or use filtering mechanisms to retrieve the party names, candidate information, and corresponding vote counts or seat allocations.

Perform calculations or aggregations based on the data retrieved to determine the total number of seats won by each party. This can involve summing the vote counts or seat allocations for each party.

Present or display the results, showing the number of seats won by each party in the election.

Please provide the specific database structure or information about the parties, candidates, and vote counts if you have them, and I can assist you further in generating the desired results.

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Answer: 16

Step-by-step explanation: becuase he works 2 hours for eight days 8x2= 16+16= 32

I have chosen the consumer electronics industry for my sample business model.

Pricing: In the consumer electronics industry, pricing is highly competitive. To make a profit, I will need to price my products competitively while still covering my costs. I will do this by sourcing high-quality, affordable components and negotiating with suppliers to get the best possible prices.

Marketing: To attract customers, I will focus on marketing my products through targeted advertising on social media platforms, as well as through partnerships with influencers and tech bloggers. I will also offer regular promotions and discounts to incentivize purchases.

Location: In the consumer electronics industry, location is less important than online presence. Therefore, I will focus on building a strong online presence through a user-friendly website and active social media accounts.

Costs: My main costs will be the cost of goods sold (i.e., the cost of the components and manufacturing), as well as marketing and advertising costs. I will also need to factor in the cost of shipping and fulfillment.

Profit: My profit will come from the difference between the price I sell my products for and the costs associated with producing and selling those products. By sourcing affordable components and keeping my marketing costs low, I expect to make a healthy profit in the consumer electronics industry.

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Answer:

I think you are correct about that one the answer is d

Answer:

C. 5.6

Step-by-step explanation:

To start, place a point where AC intersects BD. We will label this point "Q". The distance from "Q" to C will be labeled as "y". (y = QC)

We will set up a formula like this:
(AQ)×(QC) = (BQ)×(QD)

This gives you:
3.2×y = 4.8×1.6
Simplified:
3.2y = 7.68

Then, divide both sides by 3.2 to find y, or QC:
\(\frac{3.2y}{3.2} =\frac{7.68}{3.2}\)
Simplified:
\(y=2.4\)

Now that we have QC, we need to add AQ and QC together to find AC:
AC = (AQ)+(QC)
AC = 3.2 + 2.4
Solved:
AC = 5.6

Given:

The graph of a function.

To find:

The vertex form of the function.

Solution:

The graph is a U-shaped curve or a parabola with vertex at \((-3,-1)\).

The parent function for vertical parabolas is \(f(x)=x^2\) with vertex at (0,0).

It means the graph of \(f(x)=x^2\)  translated 3 units left and 1 unit down the get the given graph.

The vertex form of a parabola is:

\(y=a(x-h)^2+k\)

Where, a is a constant and (h,k) is vertex.

The vertex of the given parabola is at \((-3,-1)\). So, \(h=-3,k=-1.\).

\(y=a(x-(-3))^2+(-1)\)

\(y=a(x+3)^2-1\)            ...(i)

The graph passes through point (-2,0). Putting \(x=-2,y=0\), we get

\(0=a(-2+3)^2-1\)

\(1=a(1)^2\)

\(1=a\)

Putting \(a=1\) in (i).

\(y=1(x+3)^2-1\)

\(y=(x+3)^2-1\)

Therefore, the vertex form of the given graph is \(y=(x+3)^2-1\).

anawer cosA in terms of cos2A

Answer46789

Step-by-step explanation:

Answer:

35 40 45 50

Step-by-step explanation:

0 minutes is 35 cause of the monthly bill then naxt is 40 because the bill but plus 100 minutes so add five just keep adding five

The number of possible combinations is an illustration of principle of counting

There are 15 possible pairs of possible combinations

From the question, we understand that the first digit is 6, 8 or 9.

This means that the new table would not have entries that begin with 5 or 7.

The table is then represented as:

      6       8         9

5    65     85      95

6    66     86      96

7     67     87      97

8    68     88      98

9    69     89      99

Count the number of entries

Entries = 15

Hence, there are 15 possible pairs of possible combinations

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Answer:

no

Step-by-step explanation:

because 1 can equal anything

Answer:

1 equals everything

Answer:

Step-by-step explanation:

D = 3,1

E = 1,-2

F= -4,2

Answer:

AC = 24

Step-by-step explanation:

In a rectangle, the diagonals are the same so AC = BB

3x - 9 = x + 13

3x - x = 13 + 9

2x = 22

x = 11

AC = 3x - 9 = 3(11) - 9 = 33 - 9 = 24

Answer:

b

Step-by-step explanation:

Answer:

A) C= 6a+3k

B) $6

Step-by-step explanation:

c= cost of tickets

k= kids tickets bought

a= adult tickets bought

C= 6a+3k

cos B = \(\frac{BC}{BD}\) \(=\frac{4}{8}\) \(=\frac{1}{2}\)   c = [a2 + b2 - 2ab cos C] is the cosine formula used to determine the side of the triangle. a, b, and c are indeed the triangle's three sides. is that response accurate.

How do you calculate sin and cos B?

Formula: Sin (a,b) Cos

Sin a cos b = (1/2)[sin(a + b) + sin(a - b)] is the formula for sin a cos b. Whenever the composite angles (a + b) and (a - b) are available, as well as the quantities of degrees a and b, following equation for sin a cos b may be used.

How does the cosine rule work?

Every triangle that you would like to connect all 3 components to a single angle can benefit from the cosine rule. Knowing the other 2 aspects and indeed the opposing angle are necessary to determine the lengths of a side. It's edge a that you're looking for.

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Answer: $548.25

Step-by-step explanation: 43 x $8.50 = 365.5 x 1.5 = $548.25

The domain of the function \(f(x) = \sqrt{\frac{1}{3}x + 2\) is (d) x  ≥ -6

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

\(f(x) = \sqrt{\frac{1}{3}x + 2\)

Set the radicand greater than or equal to 0

So, we have

1/3x + 2 ≥ 0

Next, we have

1/3x  ≥ -2

So, we have

x  ≥ -6

Hence, the domain of the function is (d) x  ≥ -6

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Answer:

look at the photo..........

967.2 in standard from

= 9.672×10²

Hope this helped you- have a good day bro cya)