In a completely randomized design involving four treatments, the following information is provided. Treatment 2 Treatment 3 Treatment 4 Treatment 1 50 32 18 Sample size Sample mean 17 38 15 42 48 The overall mean (the grand mean) for all treatments is O a. 48.0 O b. 37.3 O c.40.0 O d. 37.0 O e. None of these answers are correct.

y=9x is proportional

y= 19x - 5 is non proportional.

Hope this helped

Answer:

well 4 is   proportional.  

6 is  non proportinal

Step-by-step explanation:

Logarithms are a useful tool in determining the acidity or basicity of a solution. pH is a measure of the concentration of hydrogen ions in a solution and is calculated using the formula pH = -log[H+].

A solution with a pH of 7 is considered neutral, while a pH below 7 indicates acidity and a pH above 7 indicates basicity.

Using logarithms, we can determine the pH of 7 solutions ranging from strong acid to neutral to strong base. To do this, we need to measure the concentration of hydrogen ions in each solution and then use the formula above to calculate the pH.

For example, if we have a solution with a hydrogen ion concentration of 0.001 M, we can calculate the pH as follows:

pH = -log(0.001) = 3

This solution would be considered a strong acid, as it has a pH below 7. Similarly, a solution with a hydrogen ion concentration of 10^-7 M (which is the same as a concentration of 1x10^-7 M) would have a pH of 7 and would be considered neutral.

Finally, a solution with a hydrogen ion concentration of 10^-11 M would have a pH of 11 and would be considered a strong base.

In summary, using logarithms, we can determine the acidity or basicity of a solution by calculating its pH. A pH of 7 is considered neutral, while a pH below 7 indicates acidity and a pH above 7 indicates basicity.

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Answer:

Step-by-step explanation:

Let the base function be

It has the vertex at (3, -3), so it is translated 3 units right and 3 units down:

It has zero's at (2, 0) and (4, 0)

Substitute and solve for a:

or

So the function is:

See the attached

Answer:

f(x) = 3x2 – 18x + 24

Step-by-step explanation:

just took the test

Answer:

13

Step-by-step explanation:

For this problem, work backwards to determine what the starting number was. Take 3.5 and multiply it by 3 to get 10.5, then subtract 4 to get 6.5. Finally, multiply 6.5 by 2 to get the starting number, which is 13. To check your work, you can always take 13 and perform the operations to make sure you end up with 3.5.

Hopefully this helps- let me know if you have any questions!

Answer:

a

Step-by-step explanation:

Answer:

The answer is on the attached file, i did it on another uncopy pastable document

Step-by-step explanation:

Answer:

the answer is 14 and -6

Step-by-step explanation:

Scenario: A small business owner needs to analyze their sales data to make informed decisions about pricing and profitability.

Supporting Detail 1: The concept of linear equations can be applied to determine the break-even point and set optimal pricing strategies for the business.

Worked Example 1: Let's say the small business sells a product for $10 each, and the fixed costs (expenses that don't vary with the number of units sold) amount to $500. The variable costs (expenses that depend on the number of units sold) are $2 per unit. We can use the formula for a linear cost equation (C = mx + b) to find the break-even point where revenue equals total costs:

10x = 2x + 500

Simplifying the equation, we get:

8x = 500

x = 500/8

x = 62.5

The break-even point is 62.5 units. Knowing this information, the business owner can make decisions about pricing, cost control, and production targets.

Supporting Detail 2: The concept of systems of equations can be applied to optimize the allocation of resources in the business.

Worked Example 2: Let's consider a scenario where the business owner sells two different products. Product A generates a profit of $5 per unit, while Product B generates a profit of $8 per unit. The business owner has a limited budget of $500 and wants to determine the optimal allocation of resources between the two products. We can set up a system of equations to represent the profit constraints:

x + y = 500 (total budget)

5x + 8y = P (total profit, represented as P)

By solving this system of equations, the business owner can find the optimal values of x and y that maximize the total profit while staying within the budget constraints.

Conclusion: Applying concepts from this algebra course to real-life scenarios, such as analyzing sales data for a small business, helps in understanding the material by providing practical applications. It demonstrates the relevance of algebra in making informed decisions, optimizing resources, and maximizing profitability.

These examples highlight how algebraic concepts enable problem-solving and provide valuable tools for individuals in various fields, including business and entrepreneurship.

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Answer:

A

Step-by-step explanation:

Edge 2021

Answer:

A. left 3, up 4

Step-by-step explanation:

Doing it on EDG right now!

Good luck to yalls :)

A statement which best describes how the graph of h is different from the graph of g include the following: A. The graph of h is the graph of g vertically shifted up 1 unit.

In Mathematics, the translation a geometric figure or graph downward simply means subtracting a digit from the value on the y-coordinate (y-axis) of the pre-image or function.

In Mathematics, a horizontal translation to the left is modeled by this mathematical expression g(x) = f(x + N) while a vertical translation to the positive y-direction (upward) is modeled by this mathematical expression g(x) = f(x) + N.

Where:

In this scenario, the function g(x) = x² is translated upward by 1 units to produce h(x) = g(x) + 1.

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Answer:

1166.4

Step-by-step explanation:

Assuming this is the whole question, you multiply the weight of a single box by the amount in a case to find the weight of a case, hence 24.3*48 =1166.4

1 box of cereal = 24.3

48 boxes of cereal = 24.3 × 48

48 boxes of cereal:-

=> 24.3 × 48

=> 1166.4

Therefore, 48 boxes of cereal weighs 1166.4

Answer:

64 : 1.

Step-by-step explanation:

Ratio of the volumes is 16^3 to 4^3

= 4096 : 64

= 64 : 1.

The probability of winning by picking the number 30 in roulette is 1/38.

In the game of roulette, the wheel consists of 38 spaces, with numbers 0 through 36 and an additional space marked 00. When you pick a specific number, such as 30, the probability of that number coming up on the wheel can be determined by calculating the ratio of favorable outcomes to the total number of possible outcomes.

In this case, there is only one favorable outcome, which is the ball landing on the number 30. The total number of possible outcomes is 38 since there are 37 numbered spaces (0 through 36) and one additional space for 00. Therefore, the probability of winning by picking the number 30 is 1 out of 38.

To put it simply, if you were to play roulette many times, you would expect the number 30 to come up approximately once every 38 spins on average. This probability remains the same for each individual spin, as each spin of the roulette wheel is an independent event.

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Answer:

A,B and D

A: y= 2x -3/2

B: y =2x-4

C:y=2x-5

same gradient y=mx+c

m=2

An expression has numbers, variables, and mathematical operations. The representation of Leroy's total employment compensation is $46,650.

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

As it is given that Leroy's total job benefits were $50,150. while his total job expenses for traveling and for professional development for the year were $3,500. As the total employment compensation is the amount that is the difference between job benefits and job expenses. Therefore,

\(\rm Total\ employment\ compensation= Job\ benefits + Job\ expenses\)

                                                   \(= \$50,150 - \$3,500\\\\= \$46,650\)

Hence, the representation of Leroy's total employment compensation is $46,650.

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Answer:

the representation of Leroy's total employment compensation is $46,650.

Step-by-step explanation:

The simplification of the given algebraic expression is 20x + 8y. The correct option is (C).

An algebraic expression can be obtained by doing mathematical operations on the variable and constant terms.

The variable part of an algebraic expression can never be added or subtracted from the constant part.

The given algebraic expression is 4(5x + 2y).

It can be simplified as follows,

4(5x + 2y)

= 4 × 5x + 4 × 2y

= 20x + 8y

Hence, the expression that is equivalent to 4(5x + 2y) is 20x + 8y.

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Answer:

93:96

Step-by-step explanation:

or using a calculator its 97% of students. Or 93/96 which simplifies into 31/32

There are 720 different ways can a race with 6 runners be completed.

What is a combination?

The process of combining or the condition of combining. a combination of things; an amalgamation of concepts. a grouping of notes: A chord is a grouping of notes. a grouping of people or entities acting together to impede commerce.

Here, we have

The winner can be chosen from all 6 runners, the second person can be chosen from 5 people, the third - from 4, and so on.

So the total number of possible results can be calculated as:

n = 6×5×4×3×2×1= 6!

= 720

Hence, there are 720 different ways can a race with 6 runners be completed.

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Answer:

4blue marble+9 green marble+5 red marble=18marble totle

1 marble probility=1/17

We have:tan^(-1)(1/11) + tan^(-1)(5/6) + tan^(-1)(1/3) + tan^(-1)(1/2) = tan^(-1)(7/2)

To prove the equation tan^(-1)(1/11) + tan^(-1)(5/6) + tan^(-1)(1/3) + tan^(-1)(1/2) without using a calculator, we can utilize the trigonometric properties and identities to simplify the expression.

Let's start by using the addition formula for the tangent function:

tan(A + B) = (tan(A) + tan(B)) / (1 - tan(A) * tan(B))

We can rewrite the given expression as:

tan^(-1)(1/11) + tan^(-1)(5/6) + tan^(-1)(1/3) + tan^(-1)(1/2)

Using the addition formula, we can combine the first two terms:

tan^(-1)(1/11) + tan^(-1)(5/6) = tan^(-1)((1/11 + 5/6) / (1 - (1/11)*(5/6)))

Simplifying further:

tan^(-1)(1/11) + tan^(-1)(5/6) = tan^(-1)((11/66 + 55/66) / (1 - 5/66))

tan^(-1)(1/11) + tan^(-1)(5/6) = tan^(-1)(66/66 / (61/66))

tan^(-1)(1/11) + tan^(-1)(5/6) = tan^(-1)(1)

Using the same approach, we can combine the remaining terms:

tan^(-1)(1/3) + tan^(-1)(1/2) = tan^(-1)((1/3 + 1/2) / (1 - (1/3)*(1/2)))

tan^(-1)(1/3) + tan^(-1)(1/2) = tan^(-1)((5/6) / (3/2))

tan^(-1)(1/3) + tan^(-1)(1/2) = tan^(-1)(5/9)

Now, we have:

tan^(-1)(1/11) + tan^(-1)(5/6) + tan^(-1)(1/3) + tan^(-1)(1/2) = tan^(-1)(1) + tan^(-1)(5/9)

Using the addition formula again:

tan^(-1)(1) + tan^(-1)(5/9) = tan^(-1)((1 + 5/9) / (1 - (1)*(5/9)))

tan^(-1)(1) + tan^(-1)(5/9) = tan^(-1)((14/9) / (4/9))

tan^(-1)(1) + tan^(-1)(5/9) = tan^(-1)(14/4)

tan^(-1)(1) + tan^(-1)(5/9) = tan^(-1)(7/2)

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Answer:

There are 8 nickels and 14 pennies

Step-by-step explanation:

Represent the number of pennies by p and nickels by n.  Then:

p + n = 22, or n = 22 - p

Coin values:

($0.01/penny); ($0.05/nickel).  Therefore, the relation showing the amounts of money involved is:

($0.01/penny)p + ($0.05/nickel)n = $0.54.

But we found earlier that n = 22 - p.  Therefore, the previous equation becomes:

($0.01/penny)p + ($0.05/nickel)(22 - p) = $0.54.

Multiply all three terms by 100 to eliminate the decimal fractions:

1p + 5(22 - p) = 54, or:

1p + 110 - 5p = 54, or:

-4p = -56

Thus, p = 14.  If p = 14, then n = 22 - 14 = 8.

There are 8 nickels and 14 pennies.

Check:  8($0.05) + 14($0.01) = $0.54 (correct)

The value added and subtracted from a point estimate in order to develop an interval estimate of the population parameter is known as the margin of error. The correct answer is the last option.

A margin of error is a statistical measurement that accounts for the difference between actual and projected results in a random survey sample. In simpler terms, the margin of error allows you to gauge the level of unpredictability in data and research outcomes.

The formula for the margin of error is calculated by multiplying a critical factor (for a certain confidence level) with the population standard deviation. Then the result is divided by the square root of the number of observations in the sample.

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Answer:

\(\boxed{\mathrm{view \ explanation}}\)

Step-by-step explanation:

{2, 3} is a set consisting of two elements. The two elements are the numbers 2 and 3.

{{2, 3}} is a set consisting of one element. That one element is the set {2, 3}.

Answer:

The length is 6, and the width is 4.

Step-by-step explanation:

The length and width add up to 10. 6 + 4 = 10.

A quarter of the width plus the length = 7. A quarter of 4 = 1. 1 + 6 = 7

Answer:

Width is 4 inches, Length is 6 inches

Step-by-step explanation:

Let us set a variables, l for length, and w for width. Now, we can write two expressions with the given information:

1. The length, l, and one quarter of the width, w, add up to 7in. Therefore,:

l+0.25w=7

2. The length, l, and the width, w, add up to 10in. Therefore,:

l+w=10

Let us now subtract the first equation from the second to find the variable, w. When we do this, we should make sure that we are subtracting on both sides:

\(l+w-(l+0.25w)=10-7\\l+w-l-0.25w=3\\0.75w=3\\w= 4\)

Now, let us substitute this 4 into w of the equation to obtain l:

l+w=10

l+4=10

l=6

Therefore, the width of the rectangle is 4 inches and the length of the rectangle is 6 inches.

I hope this helps! Please let me know if you have any further questions :)

The growth of yeast cultures in a medium typically exhibits logarithmic growth.

In logarithmic growth, the population size increases exponentially over time, meaning that the growth rate is proportional to the current population size.

This results in a characteristic J-shaped curve when the population size is plotted against time.

During the early stages of yeast culture growth, there is a lag phase where the population adjusts to the new environment and begins to adapt and reproduce.

Following this phase, yeast cells enter the exponential or logarithmic growth phase, where the population size increases rapidly.

The growth rate is high during this phase as each yeast cell divides and produces new cells, leading to a doubling of the population within a specific time frame.

Logarithmic growth eventually reaches a stationary phase, where the growth rate slows down, and the population stabilizes.

This occurs when the available nutrients in the medium start to become limited or when waste products accumulate, creating an unfavorable environment for further growth.

Therefore, the growth of yeast cultures in a medium shows logarithmic growth.

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The probability that the sample mean is lower than2.63 elevation is roughly0.4748, rounded to four decimal places.

To find the probability that the sample mean is lower than2.63 elevation, we need to use the conception of the slice distribution of the sample mean. The slice distribution of the sample mean is roughly typically distributed when the sample size is large enough( n> 30) or the population distribution is normal.

Given that the population of tennis ball compasses is typically distributed with a mean of2.64 elevation and a standard divagation of0.05 elevation, we can use the parcels of the normal distribution to calculate the probability.

We need to calculate the standard divagation of the slice distribution, also known as the standard error. The formula for the standard error is the population standard divagation divided by the square root of the sample size

Standard error = population standard divagation/ sqrt( sample size)

= 0.05/ sqrt( 12)

≈0.0144

We need to regularize the sample mean using the formula for z- score

z = ( sample mean- population mean)/ standard error

= (2.63-2.64)/0.0144

≈-0.0694

Using a standard normal distribution table or a statistical calculator, we can find the probability associated with this z- score.

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Answer:

812.656

Step-by-step explanation:

Aya can make 14 mats of 1 foot long.

Division is one of the fundamental arithmetic operation, which is performed to get equal parts of any number given, or finding how many equal parts can be made. It is represented by the symbol "÷" or sometimes "/"

Given that, Aya has 14\(\frac{2}{5}\) feet of chain. She wants to make pieces foot long mat.

Let can make x mats out of the given chain, since each mat is 1 foot long, so,

1×x =  14\(\frac{2}{5}\)

x = 72/5

x = 14.4

x ≈ 14

Hence, She can make 14 mats out of the given chain.

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Answer:

the answer is debt

Step-by-step explanation:

Answer:

85%

Step-by-step explanation:

small : large = 17 : 3

this means that 17 out of 20 are small

17/20 = 85/100, which is 85%