Pls help! This is due today!

Pls Help! This Is Due Today!

Answers

Answer 1

Answer:

3(a−1)

———

a+1

Step-by-step explanation:


Related Questions

write the variable and constant for the expression : 2x+1​

Answers

Answer:

Step-by-step explanation:

variable means we can put any value to it.

the variable is 2x

the constant is +1

A farmer pays $50 to rent a booth at a farmers market. She is selling watermelons for $8 each. At the end of the day, she wants to have earned at. least $200 after she pays to rent the booth. How many watermelons does the farmer need to sell?

Answers

Answer:

Let x be the number of watermelons the farmer needs to sell to earn at least $200.

The amount of money earned from selling x watermelons is 8x dollars.

After paying $50 to rent the booth, the farmer's profit is 8x - 50 dollars.

The problem states that the farmer wants to earn at least $200, so we can set up the following inequality:

8x - 50 ≥ 200

Adding 50 to both sides, we get:

8x ≥ 250

Dividing both sides by 8, we get:

x ≥ 31.25

Since the number of watermelons must be a whole number, the farmer needs to sell at least 32 watermelons to earn at least $200 after paying for the booth.

If the company orders 27 boxed lunches from a deli for $245. 70 and each boxed lunch costs the same amount then the unit cost of each boxed lunched is $9. 1. What is the unit cost of each boxed lunch?
Given that;

27 boxed lunches from a deli cost $245. 70
Cost of 1 box = ?
To determine the unit cost of each

Answers

If the company orders 27 boxed lunches from a deli for $245.70 and each boxed lunch costs the same amount then the unit cost of each boxed lunch is $9.1.

This example belongs to a word problem.

What is the unit cost of each boxed lunch?

Given that;

27 boxed lunches from a deli cost $245.70

Cost of 1 box =?

To determine the unit cost of each boxed lunch, we say;

Cost of each box = $245.70 ÷ 27

Cost of each box = $9.1

Hence, if the company orders 27 boxed lunches from a deli for $245.70 and each boxed lunch costs the same amount then the unit cost of each boxed lunch is $9.1

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The equation 2 = (1.01)* models a population that has doubled. What is the rate of increase? What does x represent?

Answers

The rate of increase is 1% and the variable x represents when the population will double

Calculating the rate of increase

The rate of increase is determined by the value of the exponent x. In this case, x represents the number of years that have passed since the population was at its initial value.

The exponent x increases by 1 for each year that passes, indicating that the population is increasing by a factor of 1.01 each year.

Therefore, the rate of increase is 1%, or 0.01 as a decimal.

What does x represent?

The variable x represents when the population will double

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Can someone help me with this? I dont know whats its trying to ask. It decreases by 1/2 every year. URGENT

Answers

Answer:

Below

Step-by-step explanation:

Year 0  = 800

Year 1 =  400

Year 2  = 200

Year 3 = 100

Year 4 = 50

Year 5 = 25

From year 2 to year 4 = 150 dollars decrease in 2 years = 75 dollars per year

this is just a quick addition to "jsimpson11000" good reply above

so we know the decrease is exponential, that means we have an equation about V = abᵗ, now, hmmm who knows what "ab" is, now, once we know that, then we can get the "slope" from t=2 to t=4, so let's  use the table to get it.

[tex]{\Large \begin{array}{llll} V=ab^t \end{array}} \\\\[-0.35em] ~\dotfill\\\\ \begin{cases} t=3\\ V=100 \end{cases}\implies 100=ab^3 \\\\[-0.35em] ~\dotfill\\\\ \begin{cases} t=5\\ V=25 \end{cases}\implies 25=ab^5\implies 25=ab^3b^2\implies \stackrel{\textit{substituting from above}}{25=(100)b^2} \\\\\\ \cfrac{25}{100}=b^2\implies \cfrac{1}{4}=b^2\implies \sqrt{\cfrac{1}{4}}=b\implies \boxed{\cfrac{1}{2}=b} \\\\[-0.35em] ~\dotfill[/tex]

[tex]100=ab^3\implies 100=a\left( \cfrac{1}{2} \right)^3\implies 100=\cfrac{a}{8}\implies \boxed{800=a} \\\\\\ ~\hfill {\Large \begin{array}{llll} V=800\left( \frac{1}{2} \right)^t \end{array}}~\hfill[/tex]

now let's find the slope

[tex]\begin{array}{llll} f(x)~from\\\\ x_1 ~~ to ~~ x_2 \end{array}~\hfill slope = m \implies \cfrac{ \stackrel{rise}{f(x_2) - f(x_1)}}{ \underset{run}{x_2 - x_1}}\impliedby \begin{array}{llll} average~rate\\ of~change \end{array} \\\\[-0.35em] ~\dotfill\\\\ V(t)= 800\left( \frac{1}{2} \right)^t\qquad \begin{cases} t_1=2\\ t_2=4 \end{cases}\implies \cfrac{V(4)-V(2)}{4 - 2} \\\\\\ \cfrac{(50)~~ - ~~(200)}{2}\implies \text{\LARGE -75}[/tex]

so is a negative slope, because is Decay or decrement, however you're expected to enter it as positive, so in essence just the absolute value change.

A rectangle has side lengths of x cm and (x + y) cm, where x and y are
both positive.
The rectangle has an area of 57 cm² and a perimeter of 44 cm.
Work out the values of x and y.

Answers

The values of x and y are 7 and 6 respectively

What is area and perimeter of a rectangle?

The space enclosed by the boundary of a plane figure is called its area. The area of a figure is the number of unit squares that cover the surface of a closed figure. Area is measured in square units like cm² and m².

Perimeter is the distance around the edge of a shape. Learn how to find the perimeter by adding up the side lengths of various shapes.

The area of a rectangle = l× w

The perimeter of rectangle = 2(l+b)

length = x

breadth = x+y

57 = x(x+y)

44 = 2( x+(x+y)

therefore ;

57 = x²+y. equation 1

44 = 4x + 2y equation 2

from equation 2, y = 22-2x

substitute 22-2x for y in equation 1

57 = x²+22-2x

57 -22= x²-2x

x²-2x -35 = 0

(x²-7x)(+5x -35 )= 0

x( x-7) 5( x-7) = 0

x+5 = 0

x-7 = 0

therefore x = -5 or 7

but we are going to take the positive answer for x

57 = 7²+y

y = 55-49

y = 6

therefore the value of x and y are 7 and 6 respectively

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need help with part a part b part c

Answers

Answer:

Part A 4 Part B 20 Part C C

there are total 28 balls. 1 / 7 = 4 balls.

Adam drove to his grandmother's house 24 miles away.

How many meters did Adam drive?

Answers

Answer:

Step-by-step explanation:

1 mile = 1609 meters

24 miles = 38624 meters

So, Adam drives 38624 meters.

Which equation forms a line that is perpendicular to y = 3x + 4?

A. y = 3x + 6
B. y = -3x + 4
C. y = -1/3x + 2​

Answers

Answer:

The answer will be B. y= -3x +6

A cone of radius rcm and height 3rcm is removed from a cone of radius 10 cm and height 30 cm to give a frustum. The volume of the frustum is 2855 cm³ Calculate the value of r. Show all your working.​

Answers

If the volume of the frustum is 2855 cm³ and the value of r  = 28.4

What is a cone?

A cone is a three-dimensional shape in geometry that narrows smoothly from a flat base (usually circular base) to a point called the apex or vertex.

Volume of the = (1/3*п*R²*H) + 1/3*п*r²*h

2855 = 1/3*22/7*10*30 + 1/3*22/7*r²*3

2855 = 314.3 + 66r²/21

2540.7 *21= 66r²

53354.7 = 66r²

r² = 808.4

r √808.4

Therefore the value of r = 28.4

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What is 10 x 9.2^-13

Answers

Answer:

-4721613632.87 or -4721613632.9 or -4721613633

Step-by-step explanation:

10x9.2^-13 = 10x-472161363.287 = -4721613632.87 or you can round -4721613632.9 or -4721613633

To evaluate 10 x 9.2^-13, we can use the following steps:

Rewrite 9.2^-13 as 1/(9.2^13), using the rule a^(-n) = 1/(a^n).
Substitute 1/(9.2^13) into the expression 10 x 1/(9.2^13).
Simplify by multiplying 10 by 1/(9.2^13):
10 x 1/(9.2^13) = 10/(9.2^13)

To calculate the numerical value of this expression, we can use a calculator. The result is approximately:
10/(9.2^13) ≈ 1.1082 x 10^9

Therefore, 10 x 9.2^-13 is approximately equal to 1.1082 x 10^9.

The purpose of this assignment is to apply hypothesis tests to the case of Bayview University. 1. Open the dataset of Bayview University (attached) and read the case in its entirety at the end of Chapter 9
2. Use descriptive statistic to summarize the data and comment on your finding

Answers

The strengths and weaknesses of the data will help to identify the areas that need to be improved.

The steps that are to be taken to apply hypothesis tests to the case of Bayview University are given below:Open the dataset of Bayview University and read the case in its entirety at the end of Chapter 9. After opening the dataset of Bayview University, read the case in its entirety at the end of Chapter 9. It is important to read the case carefully in order to understand it properly. This is the first step that is to be taken in order to apply hypothesis tests to the case of Bayview University.

Use descriptive statistics to summarize the data and comment on your findings. Once the case has been read carefully, descriptive statistics are to be used to summarize the data. Descriptive statistics are statistical techniques that are used to describe and summarize the data. They are used to summarize the data in a way that is meaningful and easy to understand. The descriptive statistics will help to identify the central tendency and the variability of the data. After summarizing the data, comments are to be made on the findings. These comments will help to identify the strengths and weaknesses of the data. The strengths and weaknesses of the data will help to identify the areas that need to be improved.

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can someone pls help me

Answers

Answer:b

Step-by-step explanation:

A-8^6
Since you flip the numerator and denominator to get 8 power 10 over 8 power 4 which then you subtract the powers since you have same base so:10-4=6
8^6

The Blacktop Speedway is a supplier of automotive parts. Included in stock are 12 speedometers that are correctly calibrated and two that are not. Three speedometers are randomly selected without replacement. Let the random variable z represent the number that are not correctly calibrated Complete the probability distribution table. (Report probabilities accurate to 4 decimal places.) P(x) N 3 3 Find the mean of this probability distribution. (Appropriate rounding rules apply.) mean = Submit Question

Answers

The mean of the given probability distribution is 0.2007.

The probability distribution table for the given scenario can be completed as follows:

| x | P(x) |
|---|------|
| 0 | 0.8036 |
| 1 | 0.1929 |
| 2 | 0.0036 |
| 3 | 0.0000 |

The probabilities are calculated using the hypergeometric distribution formula:

P(x) = (C(N-K, n-x) * C(K, x)) / C(N, n)

Where N is the total number of items (14), K is the number of items that are not correctly calibrated (2), n is the number of items selected (3), and x is the number of items that are not correctly calibrated in the selection.

For x = 0:

P(x) = (C(14-2, 3-0) * C(2, 0)) / C(14, 3) = (C(12, 3) * C(2, 0)) / C(14, 3) = (220 * 1) / 364 = 0.8036

For x = 1:

P(x) = (C(14-2, 3-1) * C(2, 1)) / C(14, 3) = (C(12, 2) * C(2, 1)) / C(14, 3) = (66 * 2) / 364 = 0.1929

For x = 2:

P(x) = (C(14-2, 3-2) * C(2, 2)) / C(14, 3) = (C(12, 1) * C(2, 2)) / C(14, 3) = (12 * 1) / 364 = 0.0036

For x = 3:

P(x) = (C(14-2, 3-3) * C(2, 3)) / C(14, 3) = (C(12, 0) * C(2, 3)) / C(14, 3) = (1 * 0) / 364 = 0.0000

The mean of this probability distribution can be calculated by multiplying each value of x by its corresponding probability and summing the results:

mean = (0 * 0.8036) + (1 * 0.1929) + (2 * 0.0036) + (3 * 0.0000) = 0.2007

Therefore, the mean of this probability distribution is 0.2007.

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what percent of 1225 is 147?

Answers

Answer:

12%

Step-by-step explanation:

147/ 1225 x 100/ 1

0.12 x 100 = 12%

Answer:

Therefore, 147 is 12% of 1225.

why does tangent function have asymptotes when sine and cosine fjnction have none ?​

Answers

The tangent function has asymptotes because it is defined as the ratio of the sine and cosine

Why does tangent function have asymptotes?

The tangent function has asymptotes because it is defined as the ratio of the sine and cosine functions:

tan(x) = sin(x) / cos(x)

When the cosine function approaches zero, the denominator of the tangent function becomes very small, and the tangent function grows to infinity or negative infinity. Therefore, the tangent function has vertical asymptotes where the cosine function is equal to zero.

In contrast, the sine and cosine functions do not have vertical asymptotes because they are periodic functions that oscillate between -1 and 1. They do have horizontal asymptotes at positive and negative infinity, but these are not vertical asymptotes.

Note that the tangent function is not defined at the points where the cosine function is equal to zero because the division by zero is undefined. This also contributes to the existence of the vertical asymptotes in the tangent function.

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In ∆ABC, AB//QR and AP:PB =BR: RC. With reasons, prove that PQ// BC​

Answers

In triangle ABC, if AB is parallel to QR and if AP:PB=BR:RC, then PQ is parallel to BC.

Since AB is parallel to QR, we can use the alternate interior angles theorem to conclude that ∠PAB = ∠QBR and ∠PBA = ∠QRB.

Also, since AP:PB=BR:RC, we can let AP=x and PB=y, so that BR=z and RC=w. Then we have:

x/y = z/w

Cross-multiplying, we get:

xw = yz

Now consider triangles ABP and QBR. By the angle-angle similarity theorem, we have that these triangles are similar. So:

AB/PB = QB/BR

Substituting our values for PB and BR, we get:

AB/y = QB/z

Cross-multiplying, we get:

ABz = QBy

Similarly, considering triangles APC and RCB, we can use the angle-angle similarity theorem to conclude that these triangles are also similar. So:

AC/RC = RB/CB

Substituting our values for RC and RB, we get:

AC/w = RB/z

Cross-multiplying, we get:

ACz = RBw

Now, let's consider the ratio of the lengths of PQ and BC. We have:

PQ/BC = (QB + BP)/(RB + BC)

Substituting in the values we found earlier for ABz, QBy, ACz, and RBw, we get:

PQ/BC = [(ABz + QBy)/(RBw + ACz)]

Using the fact that ABz = QBy and ACz = RBw (which we found earlier), we can simplify this expression to:

PQ/BC = 1

This means that PQ and BC are parallel, which is what we wanted to prove.

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The value for 4/m+1 at m=1

Answers

Answer:

5 is the answer

Step-by-step explanation:

factorise 4px-3my-2pm-6xy​

Answers

Answer:

E

Step-by-step explanation:

NO

what are some issues you must consider when choosing the appropriate number of treatment conditions for your experiment? what does it mean to have conditions that are proportional to each other?

Answers

When selecting the appropriate number of treatment conditions, it is essential to consider factors such as resources, research complexity, and confounding variables.

Having conditions that are proportional to each other means that the level or intensity of each condition varies in direct proportion to the others, such that if one condition is increased or decreased, the others are also adjusted in a corresponding manner.

When choosing the appropriate number of treatment conditions for an experiment, there are several issues to consider. One of these is the ability to distinguish differences between treatment conditions.

A suitable number of treatment conditions for an experiment should be able to identify important differences between them. If there are too few treatment conditions, differences may not be identified, while if there are too many treatment conditions, resources may be wasted, making it difficult to obtain meaningful results.Another factor to consider is the need for replicability. The more treatment conditions that are used, the more difficult it is to replicate the experiment. A suitable number of treatment conditions should allow for replicability, meaning that the experiment can be repeated with similar results.To have proportional treatment conditions means that the levels of the independent variable (the treatment) are proportionate. This means that the differences between the levels of the independent variable are proportional to each other. This is important because it ensures that the treatment conditions are balanced and that the results obtained are valid. If the levels of the independent variable are not proportional, it can be difficult to interpret the results and draw conclusions.

Having conditions that are proportional to each other means that the differences between treatment conditions are consistent across all levels of the independent variable. In other words, if the independent variable increases by a certain amount, the difference between the treatment conditions remains constant. This can be important for ensuring that the treatment effects are interpretable and generalizable to other populations.

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Thank you so much for answering this!!!
If x^7=2.5, then what is x^14?

Answers

Answer:

6.25

Step-by-step explanation:

in a given class room the number of girls is greater than the number of boy. If of the number of girls to the number of boys is 7 ratio 5,then find the number of boys with the solution​

Answers

Answer:

So the number of girls is 7 times the number of boys. If we want a specific number, we would need to know the total number of students in the class.

Step-by-step explanation:

Let's use algebra to solve the problem:

Let's say the number of boys in the classroom is "b", and the number of girls is "g".

From the problem statement, we know that:

g > b (the number of girls is greater than the number of boys)

g/b = 7/5 (the ratio of girls to boys is 7:5)

We can use the second equation to write g in terms of b:

g/b = 7/5

g = (7/5) * b

Now we can substitute this expression for g into the first equation:

g > b

(7/5) * b > b

Simplifying this inequality:

7b/5 > b

7b > 5b

2b > 0

b > 0

So we know that b is positive.

To find the exact value of b, we can use the fact that the ratio of g to b is 7:5:

g/b = 7/5

(7/5) * b/b = 7/5

7b/5b = 7/5

7/5 = 7/5

This equation is true for any value of b (as long as b is positive), so we don't actually get a unique solution for b. However, we can still make a statement about the relationship between b and g:

g/b = 7/5

g = (7/5) * b

g = (7/5) * 5x

g = 7x

So the number of girls is 7 times the number of boys. If we want a specific number, we would need to know the total number of students in the class.

Answer:

B = (5/7)G where B and G are the numbers of Boys and Girls,

Step-by-step explanation:

The ration of girls to boys is 7/5. If we let G and B represent the numbers of Girls and Boys, we can write:

   G/B = 7/5

The problem dioes not tell us the number of either boys or girls, so we cannot calculate the number of boys, as the question seems to ask.  If the actual number of girls is provided, then we can calculate the number of boys:

  G/B = 7/5

   5G = 7B  [Multiply both sides by 5B]

    7B = 5G and so

              B = (5/7)G

If, for example, there were 14 girls, there would be B = (5/7)*(14) or 5 Boys.

sampling refers to a method to select a subset of individuals for the sample from the population so that each has an equal chance of being assigned to the various study conditions. a. random b. snowball c. stratified d. convenience

Answers

Random sampling is the correct answer. Which is option (A).

Sampling refers to a method to select a subset of individuals for the sample from the population so that each has an equal chance of being assigned to the various study conditions is referred to as Random sampling.

What is sampling?

In statistics, sampling is the selection of a subset of individuals from within a statistical population to estimate characteristics of the whole population. Sampling is frequently employed in social science research. The method employed to select a subset of individuals for the sample from the population so that each has an equal chance of being assigned to the various study conditions is known as random sampling.

Content-loaded sampling refers to a form of sampling that is more sophisticated than simple random sampling.

In order to form a sample, it involves first determining which variables (or characteristics) are essential to the study, and then choosing people based on those variables, hence the name "content-loaded."On the other hand, in Stratified sampling, the population is divided into subgroups (strata) based on one or more characteristics that are expected to impact the study's outcomes. The proportion of people chosen from each group should reflect the group's percentage of the overall population.

Snowball sampling is a method for selecting a sample of individuals by locating others who share the characteristics being studied and asking them to suggest additional individuals who might participate in the study. Among the given options, (A) random sampling is the correct answer.

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What is one example of math in mr. Maxs life outside the classroom

Answers

Here some examples of math by using Mr. Maxs life outside the classroom.

Define the examples of math?

One example of math in Mr. Max's life outside the classroom could be calculating the amount of gas needed to fill up his car's tank before a road trip. This involves using basic arithmetic operations such as addition, subtraction, multiplication, and division to calculate the total distance he intends to travel, the fuel efficiency of his car, and the capacity of the fuel tank. By doing so, he can estimate the amount of gas needed for the trip and plan accordingly. Additionally, he may also use math to calculate the cost of the gas based on the current price per gallon or liter, and decide on the most cost-effective way to fill up his tank.

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complete question is:

What is one example of math in Mr. Max's life outside the classroom? 10. Is math everywhere, as Bobby believes? Support your answer with evidence.

Triangle a b c. side a c is 9 units, c b is 9 units, a b is 7 units. dilate triangle abc about point a by a scale factor of 1/3. what is the length of ac'? what is the length of ab'?

Answers

After dilating the triangle abc about point a by a scale factor of 1/3, the length of new side length of ac' is equals to the 3 units.

Dilation is a transformation used to change the size of an object. Dilation is used to make objects larger or smaller. This transformation produces an image of the same shape as the original. For a scale factor k, the algebraic representation of inflation is (x, y) → (kx, ky). Here we have a triangle abc with side length, ac = 9 units

side length, cb = 9 units

side length, ab = 7 units

remove triangle abc around point a, and

factor dilation scale = 1/3

We need to determine the length of the new side ac'. Dimensions of original shape, ac × scale factor = Dimensions of new shape, ac'

=> length of ac' = 9 units × 1/3

=> length of ac' = 3 units

Hence, required length is 3 units.

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researchers are testing a new diagnostic tool designed to identify a certain condition. the null hypothesis of the significance test is that the diagnostic tool is not effective in detecting the condition. for the researchers, the more consequential error would be that the diagnostic tool is not effective, but the significance test indicated that it is effective. which of the following should the researchers do to avoid the more consequential error? responses increase the significance level to increase the probability of type i error. increase the significance level to increase the probability of type 1 error. increase the significance level to decrease the probability of type i error. increase the significance level to decrease the probability of type 1 error. decrease the significance level to increase the probability of type i error. decrease the significance level to increase the probability of type 1 error. decrease the significance level to decrease the probability of type i error. decrease the significance level to decrease the probability of type 1 error. decrease the significance level to decrease the standard error.

Answers

To decrease the probability of type I error in order to avoid the more consequential error of falsely concluding that the diagnostic tool is effective.

The researchers should decrease the significance level to decrease the probability of type I error. This is because a type I error occurs when the null hypothesis is rejected when it is actually true. In this case, the null hypothesis is that the diagnostic tool is not effective in detecting the condition.

If the researchers decrease the significance level, they are decreasing the probability of making a type I error, which means they are less likely to conclude that the diagnostic tool is effective when it is actually not. This will help the researchers avoid the more consequential error of falsely concluding that the diagnostic tool is effective.

In general, the significance level (also known as the alpha level) is the probability of making a type I error. By decreasing the significance level, the researchers are making the criteria for rejecting the null hypothesis more stringent, which reduces the likelihood of making a type I error.

It is important to note that decreasing the significance level will also decrease the power of the test, which is the probability of correctly rejecting the null hypothesis when it is false.

However, in this case, the researchers are more concerned with avoiding the more consequential error of falsely concluding that the diagnostic tool is effective, so decreasing the significance level is the appropriate action to take.

In conclusion, the researchers should decrease the significance level to decrease the probability of type I error in order to avoid the more consequential error of falsely concluding that the diagnostic tool is effective.

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The Martinez family picked 3 1/2 lb of apples. Ana picked 1/4 of those apples.

How many pounds of apples did Ana pick?

Answers

As a result, Ana chose 7/8 of a pound of apples , while the Martinez family chose 3 1/2 pounds.

what is unitary method ?

Finding a value of a single unit or the ratio of two values, then using this value to determine the value of a bigger or smaller number, is the unitary method, a problem-solving strategy used in mathematics. The unit method, single unit method, and percentage method are additional names for the unitary approach. The unitary method, which can be used to address issues in a number of disciplines including mathematics, algebra, geometry, and physics, entails using a ratio, proportion, or factor. The approach is founded on the proportionality concept, according to which two ratios or quantities are proportional if they have the same ratio or proportion.

given

Three and a half pounds of apples, which can be expressed as a mixed amount or an incorrect fraction, were harvested by the Martinez family:

3 1/2 = 7/2

Ana selected one-fourth of those apples, so the quantity she selected can be calculated by dividing by the total number of apples selected by the Martinez family:

1/4 × 7/2 = (1 × 7)/(4 × 2) = 7/8

As a result, Ana chose 7/8 of a pound of apples , while the Martinez family chose 3 1/2 pounds.

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Mr. Phillips is mixing paint for his art class. How many 6-ounce bottles of paint can he fill with the quantities of pain. 64 ounces of blue
12 ounces of yellow
32 ounces

Answers

Mr. Phillips can fill 10 bottles of paint with the 64 ounces of blue paint and five bottles of paint with the 12 ounces of yellow paint, for a total of fifteen 6-ounce bottles.

He has 64 ounces of blue paint and 12 ounces of yellow paint. In order to figure out how many 6-ounce bottles of paint he can fill with the quantities of pain, he must divide the amount of paint by the size of the bottles. For the blue paint, he needs to divide 64 ounces by 6 ounces, which will equal 10.6 (rounded down to 10). For the yellow paint, he needs to divide 12 ounces by 6 ounces, which will equal 2 (rounded up to 3). This means that he can fill 10 bottles of paint with the 64 ounces of blue paint and three bottles of paint with the 12 ounces of yellow paint, for a total of thirteen 6-ounce bottles. The process of figuring out how many bottles of paint can be filled with the given amounts of paint is a simple one. It requires the painter to divide the amount of paint by the size of the bottles. Once the painter knows the answer, they can use it to accurately fill the appropriate number of bottles for their project. This is an important skill for a painter to have as it helps them plan for the necessary supplies and create a successful project.

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In design and Analysis of Experiments, 8th edition, D.C Montgomery described an experiment that determined the effect of four different types of tips in a hardness tester on the observed hardness of a metal alloy. Four specimens of alloy were obtained, and each tip was tested once on each specimen, producing the following dataspecimentype of tip 1. 2. 3. 41. 9.3 9.4. 9.6. 10.02. 9.4 9.3 9.8. 9.93. 9.2. 9.4. 9.5. 9.74. 9.7. 9.6 10.0 10.2is there a difference in hardness measurements between the tipsuse fisher's LSD method to investigate specific differences between the tipsanalyze the residuals from this experiment

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In conclusion, we find evidence of significant differences in hardness measurements between the four types of tips, based on the one-way ANOVA. The LSD method can be used to investigate specific differences between pairs of means.

The residuals appear to be randomly distributed and normally distributed, indicating that the assumptions of the ANOVA are reasonable.

To determine if there is a difference in hardness measurements between the tips, we can conduct a one-way ANOVA with the null hypothesis that the mean hardness measurements are equal for all four tips and the alternative hypothesis that at least one mean is different.

We can use Fisher's LSD method to investigate specific differences between the tips. The LSD method tests for significant differences between any pair of means using the formula:

LSD = tα(ν) × SE

where tα(ν) is the critical value of the t-distribution with α level of significance and (n-1) degrees of freedom, and SE is the standard error of the means, which is calculated as:

SE = √(MSE/n)

where MSE is the mean square error from the ANOVA and n is the sample size for each group.

First, we can perform the one-way ANOVA using software or a calculator. The results show that the F-statistic is significant at the 0.05 level with p-value < 0.05, which indicates that we reject the null hypothesis and conclude that there is at least one significant difference between the means.

Next, we can calculate the LSD for α = 0.05 and degrees of freedom (n-1) = 12 using the formula above. We obtain:

LSD = 2.179 × √(2.695/4) = 1.31

The LSD value indicates that if the difference between any two means is greater than 1.31, we can conclude with 95% confidence that the two means are significantly different.

To analyze the residuals, we can plot the residuals versus the fitted values and check for patterns or non-constant variance. We can also perform a normal probability plot of the residuals to check for normality.

The residual plot shows no clear patterns or trends, and the points appear to be randomly scattered around zero. The normal probability plot shows that the residuals follow a roughly straight line, indicating that they are approximately normally distributed.

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PLEASE HELP ME OUT GUYS​

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Answer:

Given as steps.

Step-by-step explanation:


Step 2: Opposite angles of a parallelogram are Equal
Step 4 ( After " Definition of a parallelogram"): Given
Step 5: ASA congruency Property / Therom
Step 6: CPCTC


P.S: It is ASA congruency Therom as both angles are adjacent to the side they are trying to prove.


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