intro to inequalities 16>f, if f=17

The appropriate measure of spread depends on the shape and distribution of the data. In this case, the fact that the mean size is significantly different from the median size suggests that the data is skewed.

When the data is skewed, the median and the interquartile range (IQR) are generally more appropriate measures of spread than the mean and standard deviation.

Therefore, in this scenario, the more appropriate measure of spread would be the IQR because the data is skewed.

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Option (c), A triangle has two angles, one that is 15 degrees and the other is 35 degrees. The measure of the third angle of the triangle, in degrees is 130.

Given, a triangle has one angle with measure 15 degrees and another angle with measure 35 degrees.

To find: The measure of the third angle of the triangle, in degrees.

The sum of all three angles of a triangle is 180 degrees.

Let's consider the measure of the third angle of the triangle be x.

Thus, sum of all three angles of a triangle

= 15+35+x

= 50 + x degree

Now, according to the property of a triangle, the sum of all three angles of a triangle is 180 degrees.

Thus, 50 + x = 180 degrees

Subtracting 50 from both the sides,

x = 180 - 50 = 130 degrees

Hence, the measure of the third angle of the triangle, in degrees is 130.

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Answer:

A, B, D

Step-by-step explanation:

Answer:

A, B, D, E

Step-by-step explanation:

1. 100 = 100%, so seeing that there are 55 boys and 45 girls, we can go ahead and turn those into percentages, making this answer correct.

2. Once again, 100 = 100%, so 17 = 17%

3. "10/55 of those" isn't implying this is the boys only, but rather everyone, so this statement is not correct.

4. 10/35 of the students who chose math are girls. We can see that on the graph.

5. 8 + 8 = 16. Those are both the same number and half and half of the boys and girls...

Hope this helped!

Epidemiologic studies are of significant value to scientists who use the information from these studies to formulate dose-response estimates to predict the risk of various health outcomes or diseases.

By analyzing data on exposure levels and corresponding health effects in a population, researchers can establish the relationship between the dose (amount of exposure) and the response (risk or occurrence of the outcome). This allows them to estimate the potential risks associated with different levels of exposure to specific factors such as environmental pollutants, medications, lifestyle choices, or occupational hazards. These dose-response estimates help inform public health interventions, risk assessments, and policy-making decisions aimed at minimizing the occurrence and impact of health risks in populations.

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The answers for regression and median related questions are -

1. Option D

2. Option D

3. Option A

4. Option D

What is median?

In mathematics, the middle number in a sorted list of numbers is referred to as the median. By arranging the numbers, the middle number can be discovered. Ascending order is used to arrange the numbers. The middle number in the ordered set of numbers is referred to as the data set's median.

In a two by two study, what is the Mean Squared Within (MSW)?

Answer: The pooled estimate of the variances within the cells.

How is regression variance measured?

Answer: Regression variance is based on the source of the variation, the residual, and the sample size.

What is the distance in the Y direction from a point to the regression line called?

Answer: Residual.

Your data is in the range C1 through 34. In Excel, how will you calculate the median for this data?

Answer: MEDIAN(C1:C34).

Therefore, the answers are obtained.

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1. In a two by two study, what is the Mean Squared Within (MSW)?

Select an answer:

the pooled estimate of the variances within the columns

the pooled estimate of the variances within the row and column interactions

the pooled estimate of the variances within the rows

the pooled estimate of the variances within the cells

2. How is regression variance measured?

Select an answer:

Regression variance is based on the sum of squares total of the mean residuals.

Regression variance is based on differences between predicated data points and the mean of y.

Regression variance is based on the mean squared, and is equal to the sum of the squared deviations.

Regression variance is based on the source of the variation, the residual, and the sample size.

3. What is the distance in the Y direction from a point to the regression line called?

Select an answer:

residual

sample

variance

interaction

4. Your data is in the range C1 through 34. In Excel, how will you calculate the median for this data?

Select an answer:

MEDIAN(C1*C34)

MEDIAN_FUNC(C1:C34)

MED(C1:C34)

MEDIAN(C1:C34)

Answer:

Hello dear asker, you have to put the picture of the graph, then I would be happy to help

Answer:

The answer is C. 33y

Step-by-step explanation:

☽------------❀-------------☾

Hi there!

~

\(12y + 7y \times 3\)

Is equivalent to :

           ↓

     (C)  \(33y\)

❀Hope this helped you!❀

☽------------❀-------------☾

The best surface tolerance and finish would be gotten if all inside vertical corners had a fillet radius of (b) > 0.125 inches.

The choice of fillet radius is an important factor in determining the surface tolerance and finish of a machined part. A fillet radius is a rounded corner between two flat surfaces. A fillet radius that is too small can result in a rough surface, while a fillet radius that is too large can weaken the part.

In this scenario, a 1/4 inch diameter mill is being used, so the best surface tolerance and finish would be achieved if the fillet radius is greater than 0.125 inch, but less than 0.25 inch. This will ensure that the part is not weakened and the surface is smooth. The exact value of the fillet radius will depend on the specific requirements of the machining process.

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Complete Question:

If you must use a 1/4 inch diameter mill, then the best surface tolerance and finish would be gotten if all inside vertical corners had a fillet radius with the minimum requirement of:

(a) < 0.25 inch

(b) > 0.125 inch

(c) > 0.25 inch

(d) = 0.25 inch

(e) = 0.125 inch

(f) < 0.125 inch

The solution to the system is x = 2 and y = 6, represented as the ordered pair (2, 6). This corresponds to option (B) in the answer choices.

To solve the system using substitution, we'll substitute the value of one variable from one equation into the other equation and solve for the remaining variable.

Given the system:

x + y = 8

y = 3x

Substituting the value of y from the second equation into the first equation, we have:

x + (3x) = 8

4x = 8

x = 2

Now, substitute the value of x into the second equation to solve for y:

y = 3(2)

y = 6

Therefore, the solution to the system is (2, 6). Option (B) is the correct answer.

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Answer:

the correct answer is A. Because it shows the equal qualifient of the answer

The percentage decrease of Jane's closet size is 39%.

The initial area of the closet of Jane is 44 square feet.

The final area of closet of Jane is 26.84 square feet.

The percentage decrease in any quantity can be found by using the formula,

Percentage decrease = (final amount - initial amount)/initial amount x 100

Now, putting values,

Percentage decrease = (26.84 - 44)/44 x 100

Percentage decrease = -17.16/44 x 100

Percentage decrease = 39%.

Hence, the percentage decrease in the area of the closet of Jane is 39%.

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Answer:

887.40

Step-by-step explanation:

amount = principal(1i)^n

i = .0425/2 = .02125 , n = 8 , principal = 750

amount = 750(1.02125)^8 = 887.40

Answer:

12y

Step-by-step explanation:

product means multiplycation so twelve times y is  12y

Answer:La media aritmética es la suma de todos los datos dividida entre el número total de datos :)

The answer to the equation A=h(B+b) is 4

An equation is a mathematical statement that is made up of two expressions connected by an equal sign. For example, 3x – 5 = 16 is an equation

From the given question

A=h(B+b);

when A=60, B=8, b=7

substituting the values into the equation

60= h(8+7)

60=h(15)

Expanding the bracket

60=15h

dividing both sides by 15

h=60/15

h=4

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Answer:

Step-by-step explanation:

We are given the sequence

\(15, 29, 49, 75, 107\\15->29 = 14\\29 -> 49 = 20\\49->75 = 26\\75 -> 107 = 32\\14, 20, 26, 32\\14 -> 20= 6\\20 -> 26 = 6\\26 -> 32 = 6\\\\6, 6, 6\\6->6 = 0\)

Since we had to find the differences twice, it is a second degree polynomial

\(y = an^2 + bn + c\\plugging \: in \: n = 1, 2, 3...\\the \: sequence \: is \\a+b+c, 4a + 2b + c, 9a + 3b + c...\\the \: diff \: under \: is \\3a + b, 5a + b, 7a + b...\\the \: diff \: under \: is \\2a, 2a, 2a...\\so, \\2a = 6\\a = 3\\3(3) + b = 14\\b = 5\\\\a +b + c = 15\\3 + 5 + c = 15\\c = 7\\\)

so,

\(y = 3n^2 + 5n + 7\)

Answer: $532,000

Step-by-step explanation:

If the company is making $140,000 and they get 20% each year, we just multiply it by 20%, or 0.20, and get $28,000. So, we would multiply that by 14, the years the company operated, and then add it to the original $140,000.

28,000 x 14 = 392,000

392,000 + 140,000 = 532,000

So, over the course of 14 years, the company made a profit of $532,000.

Answer:

13

Step-by-step explanation:

77−|(−8)(3)+(−10)(4)|

=77−|−24+(−10)(4)|

=77−|−24+−40|

=77−|−64|

=77−64

=13

Hope this helps

Using strong induction, we can prove that the square root of -2 is irrational by showing that it cannot be expressed as a fraction of coprime odd integers.

To prove that √-2 is irrational using strong induction, we need to show that for any natural number n, if the square root of -2 can be expressed as a fraction a/b, where a and b are coprime integers, then a and b must be odd.

We can start by using the base case, n = 1. Assume that √-2 can be expressed as a fraction a/b where a and b are coprime integers. Then, we have

√-2 = a/b

Squaring both sides gives

-2 = a^2/b^2

Multiplying both sides by b^2 gives

-2b^2 = a^2

This implies that a^2 is even, and therefore a is also even. We can express a as 2k for some integer k, which means

-2b^2 = (2k)^2

Simplifying, we get

-2b^2 = 4k^2

Dividing both sides by -2 gives

b^2 = -2k^2

This implies that b^2 is even, which means that b is also even. However, this contradicts our assumption that a and b are coprime integers. Therefore, √-2 cannot be expressed as a fraction a/b where a and b are coprime integers.

Now, let's assume that for all n ≤ k, the square root of -2 cannot be expressed as a fraction a/b where a and b are coprime integers with a and b odd. We want to prove that this also holds for n = k+1.

Assume that √-2 can be expressed as a fraction a/b where a and b are coprime integers with a and b odd. Then, we have

√-2 = a/b

Squaring both sides gives

-2 = a^2/b^2

Multiplying both sides by b^2 gives

-2b^2 = a^2

This implies that a^2 is even, and therefore a is also even. We can express a as 2k for some integer k, which means

-2b^2 = (2k)^2

Simplifying, we get

-2b^2 = 4k^2

Dividing both sides by -2 gives

b^2 = -2k^2

This implies that b^2 is even, which means that b is also even. However, this contradicts our assumption that a and b are coprime integers with a and b odd. Therefore, √-2 cannot be expressed as a fraction a/b where a and b are coprime integers with a and b odd.

By strong induction, we have proven that for any natural number n, the square root of -2 cannot be expressed as a fraction a/b where a and b are coprime integers with a and b odd. Therefore, √-2 is irrational.

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The question is: "__ is a measure of the heterogeneity of observations in a classification tree." The correct answer is:

c. Impurity

Impurity is a measure of the heterogeneity of observations in a classification tree.

It helps to determine the quality of a split in the tree by quantifying the level of mixed classes in each subset after splitting.

The goal is to minimize impurity to create more homogenous subsets.

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Answer:

omg here is the answer

Step-by-step explanation:

The absolute uncertainty of the product is the sum of the absolute uncertainties of the individual terms. The answer to (c) is 3.11 ± 0.26 mmol, with a percent relative uncertainty of 8.3%.

The absolute uncertainty of the first term is 1.0 mM, the absolute uncertainty of the second term is 0.2 mL, and the absolute uncertainty of the third term is 0.2 mL. So, the absolute uncertainty of the product is 1.0 + 0.2 + 0.2 = 1.4 mM.

The percent relative uncertainty of the product is the absolute uncertainty divided by the value of the product, multiplied by 100%. So, the percent relative uncertainty of the product is 1.4 / 91.3 * 100% = 1.5%.

The value of the product is 91.3 * 40.3 / 21.1 = 174.379 mM.

Therefore, the answer to (b) is 174.379 ± 1.4 mM, with a percent relative uncertainty of 1.5%.

The absolute uncertainty of the difference is the sum of the absolute uncertainties of the individual terms. The absolute uncertainty of the first term is 0.05 mmol, the absolute uncertainty of the second term is 0.01 mmol, and the absolute uncertainty of the third term is 0.2 mL. So, the absolute uncertainty of the difference is 0.05 + 0.01 + 0.2 = 0.26 mmol.

The percent relative uncertainty of the difference is the absolute uncertainty divided by the value of the difference, multiplied by 100%. So, the percent relative uncertainty of the difference is 0.26 / 3.12 * 100% = 8.3%.

The value of the difference is 4.97 - 1.86 = 3.11 mmol.

Therefore, the answer to (c) is 3.11 ± 0.26 mmol, with a percent relative uncertainty of 8.3%.

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Answer:

To get the discount for the 5 pound bag of apples, we must first note the following:

The original price of the apples, which in this case it is 2.99

Also we must note the sale price for the apples which is 1.59

to get the discount for apples we must then create an equation based on the above information,

Discount for A= original price -sale price

Discount for A=2.99-1.59

Discount for A=1.40

Part 1 Answer is 1.40 which is the discount for apples at Handy Dandy Grocery.

Part 2

To get the discount for oranges we follow the same steps.

Discount for R= Original price for R -sale price for R

Discount for R=3.99-2.59

Discount for R=1.40

In conclusion, for both part one and part two we can derive a formula based on the apples and orange and say discount in both cases is arrived by the following:

D=Op-Sp. ( d= discount, Or= original price, Sp= sale price.)

Answer:

I'm not certain I understand what is being requested.  Please see the attached explanation for two different approaches.

Step-by-step explanation:

See attachment.

Answer:

It tells you that 1000g are in 1 kg. All you need to do is convert your 15 kg to 15000 g.

Answer:

Step-by-step explanation:

1 kg = 1000 g

15 Kg = 15 *1000 = 15000 g

7.75 g = 1 cm³

1 g = 1 ÷ 7.75 cm³

15000 g = \(\frac{1}{7.75}*15000 = 1935.48\)

              = 1935 cm³

Inner diameter = 6 cm

Inner radius = r = 6/2 = 3 cm

Outer radius = R = inner radius  + thickness

  R = 3 + 2 = 5 cm

Volume of cylindrical pipe = 1935 cm³

\(\pi h*(R +r)(R - r) = 1935\\\\3.14 * h *( 5 + 3)(5 - 3) = 1935 \\\\3.14 * h * 8 *2=1935\\\\h = \frac{1935}{3.14*8*2}\\\\h = 38.52 = 39\)

h = 39 cm

The graph meets the vertical line test requirement, it must represent a function (C) The vertical line test shows that the graph is correct, hence the answer is yes.

According to the function, every value in the domain is associated to exactly one value in the range, and they have a predefined domain and range. It is characterized as a certain kind of relationship.

Please refer to the image instead of the graph, which is related to it.

The graphic displays a graph.

A parabola is seen on the graph.

The vertical line test determines if a graph can be a function, as is common knowledge.

The graph passes the vertical line test option, indicating that it does in fact represent a function (C) The vertical line test shows that the graph is correct, hence the answer is yes.

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Answer:

44

Step-by-step explanation:

Let the number of eggs be N, and the weight be M

M is directly proportional to N.

.: M= kN

264 = 6k

.; k(the constant of proportionality is) = 264/6

k = 44.

The result of five ninths minus two sixths is two - ninths.

Let us first write the words in figures so that we can perform the required calculation;

five ninths = 5/9

two sixths = 2/6

This means that we are simply asked to subtract 5/9  from 2/6

Hence;

5/9 - 2/6, we have to take LCM. The LCM of 5/9 and 2/6 is 18. The term LCM actually means lowest common multiple of 9 and 6.

So;

\(\frac{10 - 6}{18} = \frac{4}{18} = \frac{2}{9}\)

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Answer

the answer would be 12/54 i did the test and got 100%

Step-by-step explanation:

.

The value of x in the given angles are 37 , 40, 100 and 11.

We have to find the value of x in the angles.

The sum of x and 53 is 90 degrees.

x+53=90

Subtract 53 from both sides:

x=90-53

x=37 degrees.

3x and 60 degrees sum is 180 degrees which is a straight angle.

3x+60=180

3x=120

Divide both sides by 3:

x=40

Now the angles are vertical.

5x-45=55

Add 45 on both sides:

5x=55+45

=100

Divide both sides by 5

x=20 degrees.

Now ∠BAD=110 degrees.

∠ADC=55

So 5x+55=110

5x=55

x=11 degrees.

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