suppose the magnitude (absolute value) of f′′is small on a given δ-interval with center a. are the slopes of the tangent lines changing slowly or quickly as x increases over the δ-interval?

When a multiple regression model created incorrectly then leaves out one and more than one important factors are omitted.

Multiple regression is a statistical way that can be used to analyze the relationship between a single dependent variable and several independent variables. Equation is written as y =

We have regressors x₁ and x₂ where both variables are determinants of the dependent variable. you first regressor y on x₁ only and find no relationship. however when regressing y on x₁ and x₂.

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Complete question:

consider the multiple regression model with two regressors x1 and x2, where both variables are determinants of the dependent variable. you first regress y on x1 only and find no relationship. however when regressing y on x1 and x2, the slope coefficient changes by a large amount. this suggests that your first regression suffers from:

Therefore , the solution of the given problem of equation comes out to be every term in this sequence will be a whole number greater than 7.

Variable words are commonly used in complex algorithms to show consistency between two contradictory claims. Academic expressions called equations are used to show the equality of various academic numbers. In this case, normalization produces a + 7 as opposed to a different algorithm that splits 12 into two parts and can evaluate data received from x + 7.

Here,

The given equation can be used to create a table of values for this sequence, beginning with a1 = 7:

n an

1 7

2 19

3 31

4 43

5 55

6 67

7 79

8 91

9 103

10 115

... ...

We multiply the first term of the sequence by a factor of 1 and add 12 to determine each succeeding term.

=> a2 = a1 + 12 = 7 + 12 = 19

Similarly, we enter n = 3 and a2 = 19 to determine a3:

=> a3 = a2 + 12 = 19 + 12 = 31

so forth.

Because a1 is a whole number greater than 7 and each term in the sequence is obtained by adding 12 to the preceding term,

it should be noted that every term in this sequence will be a whole number greater than 7.

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Answer:

28/36 or 7/9

Step-by-step explanation:

there are 36 possible answers

4 of them equal 5 (1+4, 2+3, 3+2, 4+1)

4 of them equal 9 (3+6, 4+5, 5+4, 6+3)

8-36 = 28

The ellipses centered at the origin that runs through the points (1, 2), (2, 2), and (3, 1) is mathematically given as

-0.3523x^2 0.5284xy 15.9268y^2 = 1.

Generally, the equation for three points is mathematically given as

a+2b+4c=1.....1  for the variable (1, 2)

4a+4b+4c=1.....2  for the variable (2, 2)

9a+3b+c=1.....3  for the variable (3, 1)

Step 1

Here we solve equations 1 and 2 simultaneously to find the value of b

Therefore

equ 2-equ1

3a+2b=0

b=-1.5a....4

Step 2

We solve equations 1 and 3 simultaneously to find the value of c

Where

9*equ1-equ3 gives

-15b-35c=-8

c=8-15b

subbing equ 4 we have

c=8+22.5a ....5

Step 3

Put values of b and c in equation 2, and we have

4a-6a+32+90a=1

a=-31/88

a=-0.3523

The value of b will be

b=-1.5*a

b=0.5284

The value of b will be

c=8-22.5*a

c=15.9268

Step 4

In conclusion, the equation is given as

By substituting the values of a b and c into the general formula we have

-0.3523x^2 0.5284xy 15.9268y^2 = 1.

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The perimeter of the triangle is 3x + 10

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

Side lengths = (x+6) and (x+4) and x​

The perimeter is the distance AROUND the shape

Using the above as a guide, we have the following:

Perimeter = x + 6 + x + 4 + x

Evaluate the like terms

Perimeter = 3x + 10

HEnce, the perimeter is 3x + 10

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Observations consisting of pairs of variable data are required to construct a scatter plot chart. A scatter plot chart is a graphical representation of the relationship between two variables.

One variable is plotted on the horizontal axis, while the other variable is plotted on the vertical axis. Each point on the chart represents an observation or data point consisting of a pair of values for the two variables being plotted. The scatter plot chart is useful for identifying patterns, trends, and relationships between the variables. It can also be used to detect outliers or unusual observations that do not follow the general pattern of the data.

The scatter plot chart can be enhanced by adding regression lines or trend lines, which provide a visual representation of the linear relationship between the two variables. Overall, the scatter plot chart is a powerful tool for analyzing and understanding the relationship between two variables in a dataset.

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Observations consisting of pairs of variable data are required to construct a scatter chart.

A scatter chart is a graphical representation of a set of observations where one variable is plotted on the x-axis and the other variable is plotted on the y-axis. Scatter charts are useful in identifying patterns and relationships between the two variables. The strength and direction of the relationship between the variables can be determined by examining the pattern of the scatter chart. If the data points are tightly clustered around a straight line, then there is a strong linear relationship between the two variables. On the other hand, if the data points are scattered without any pattern, then there is no relationship between the two variables. Scatter charts are commonly used in scientific research, marketing analysis, and other fields where two variables need to be analyzed simultaneously.

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There is not enough evidence to support the claim made by the pit crew at α = 0.01.

From the question above, that n = 32, sample mean (X) = 12.9 seconds, standard deviation (s) = 0.19 seconds and level of significance (α) = 0.01

We need to check whether there is enough evidence to support the claim made by the pit crew at α = 0.01.

That means, we need to test the following hypotheses:

Null hypothesis: H₀: μ ≥ 13 (The mean pit stop time is greater than or equal to 13 seconds)

Alternate hypothesis: H1: μ < 13 (The mean pit stop time is less than 13 seconds)

This is a one-tailed test with the rejection region on the left side of the distribution. The critical value can be found using the t-distribution table with (n - 1) degrees of freedom at α = 0.01.

The degree of freedom is (n - 1) = 32 - 1 = 31

From the t-distribution table with 31 degrees of freedom and α = 0.01, we get the critical value t = -2.479.

The test statistic can be calculated using the formula:t = (X - μ) / (s / sqrt(n))

Substituting the given values, we get

t = (12.9 - 13) / (0.19 / sqrt(32))

t = -1.216

The calculated test statistic is -1.216.

It falls outside the rejection region (-2.479 to -∞) and therefore, we fail to reject the null hypothesis.

Therefore, there is not enough evidence to support the claim made by the pit crew at α = 0.01.

Your question is incomplete but most probably your full question was:

In auto racing, a pit crew claims that its mean pit stop time (for 4 new tires and fuel) is less than 13 seconds. A random selection of 32 pit stop times has a sample mean of 12.9 seconds and a standard deviation of 0.19 second.

Is there enough evidence to support the claim at α = 0.01?

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The volume of the cube expressed as a fraction will be 27x³y³ / 64.

Given that:

Volume, V = (0.75xy)³

It is frequently mathematically quantified using SI-derived units or different imperial or US traditional units. The concept of length is linked to the notion of capacity.

The volume of the cube expressed as a fraction is calculated as,

V = (0.75xy)³

V = (3xy/4)³

V = 27x³y³ / 64

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The equation -20,000(F/P, i*, 4) + 10,000 + 5,000 = 0 is used to calculate the project's internal rate of return (i*). The Option A/

The internal rate of return (IRR) is a metric used in financial analysis to estimate the profitability of potential investments. IRR is a discount rate that makes the net present value (NPV) of all cash flows equal to zero in a discounted cash flow analysis.

To get internal rate of return (i*), we need to solve the equation: \(-20 000(F/P, i*, 4) + 10 000 + 5 000 = 0\)

The initial cost of the project is -$20,000, the net annual cash inflow is $10,000 and the salvage value is $5,000. The equation represents the present value of cash flows over the project's duration.

Therefore, by solving the equation, we can determine the internal rate of return (i*) for the project.

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Answer:

Step-by-step explanation:

-10 + y = 3                 Add 10 to both sides

-10+10+y = 3 + 10     Combine

y = 13

So the answer is 13

You have to do something to get the answer. Algebra is based on logical steps. You don't learn much by seeing 13.

Answer:

Step-by-step explanation:

Answer:

first number = 7

second number = 11

Step-by-step explanation:

A first number is 4 less than a second number

f = s - 4

Four times the first number is 6 more than twice the second

4f = 2s + 6

-----------------------------

Substitute for f = s - 4

4(s - 4) = 2s + 6

distribute

4s - 16 = 2s + 6

subtract 2s from both sides

2s - 16 = 6

add 16 to both sides

2s = 22

Divide both sides by 2

s = 11

Substitute for s = 11 in

f = s - 4

f = 11 - 4

f = 7

The equation of the amount to be paid by anyone using the ride in slope intercept form is; y = 0.5x + 10

The general form of the equation of a Line in slope intercept form is;

y = mx + b

where;

m is slope

b is y-intercept

Now, we are told that;

Amount charge by Winter Wonderland per child = $0.50

We are told that there is a separate entrance fee.

Amount of times todd sled down the hill = 16 times

Amount paid by todd = $18

Thus, using the slope intercept form, we have;

18 = 0.5(16) + b

18 = 8 + b

b = 10

Thus, the equation of this amount to be paid in slope intercept form is;

y = 0.5x + 10

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Answer:

1/3x^2+5x+1 is the answer

price per house : $250,000

number of houses: 9

To find how much he will earn (y) we have to multiply the price per house by the number of houses (x).

y = 250,000 x

Where x is the independent variable (number of houses) and y is the dependent variable (earnings)

Replacing x by the number of houses:

y = 250,000 ( 9) = $2,250,000

Answer:

The answer is the third one

Step-by-step explanation:

just multiply each of the numbers in the matrix by

\( \frac{1}{2} \)

The value of X is 6.8, if X squared is approximately equal to 46.

The problem asks us to find the value of X, rounded to the nearest tenth, if X squared is approximately equal to 46. This means that we need to find the square root of approximately 46.

To do this, we can use a calculator. Using the square root function, we get:

√(46) ≈ 6.782329983

This means that X is approximately equal to 6.782329983. However, the question asks us to round our answer to the nearest tenth. The digit in the tenths place is the first digit to the right of the decimal point.

Since the digit in the tenths place is 8 and greater than or equal to 5, we round the digit in the ones place up by 1. Therefore, X is approximately equal to 6.8 (rounded to the nearest tenth).

Hence, X = 6.8.

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--The complete question is, Find the value of X, rounded to the nearest tenth, if X squared is approximately equal to 46. X = ? (round your answer to the nearest tenth) (Hint: Find a decimal that, when multiplied by itself, will be approximately 46.)--

The linear function modelling the daily inventory in t days after August 31 is given by:

I(t) = 110 - 22t.

Using the given function, they must restock the store on September 3.

A linear function, in slope-intercept format, is modeled according to the following rule:

y = mx + b

In which:

In the context of this problem, we have that:

Thus the model is given as follows:

I(t) = 110 - 22t.

They must have at least 25 phones in stock at all times, hence:

I(t) >= 25

110 - 22t >= 25

22t <= 85

t <= 85/22

t <= 3.86.

Rounding down, as after 4 days they would have less than 25 phones, they must restock the store on September 3, which is 3 days after August 31.

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Answer:

x = 3

Step-by-step explanation:

Answer:

The answer is x = 3

The state that has the standard of Add, subtract, multiply, and divide decimals to hundredths, using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction, and limits dividing decimals to specific cases is not specified in the given question.

The given question does not mention a specific state that has the mentioned standard for decimal operations.

However, this standard aligns with the mathematics curriculum in many states across the United States. It focuses on developing students' understanding of decimal operations and their ability to apply various strategies and models to solve problems involving addition, subtraction, multiplication, and division of decimals.

To meet this standard, students are encouraged to use concrete models or drawings that represent the place value and properties of decimal numbers. They learn to relate these models to written methods, such as the standard algorithm, and explain their reasoning behind the chosen strategies.

The emphasis is on understanding the concepts behind decimal operations, rather than solely relying on rote memorization of procedures.

The standard also specifies that dividing decimals is limited to specific cases, including a whole number dividend with a decimal divisor or a decimal dividend with a whole number divisor.

Students are expected to compare the value of the quotient based on the values of the dividend and divisor, considering the relationship between the two numbers.

By mastering these skills and concepts, students develop a strong foundation in decimal operations, which are essential for real-world applications involving money, measurements, and other quantitative situations.

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With the help of the figure we can say that triangles are congruent by SAS Rule

What is Congruence of Triangle?

Triangle congruence: Two triangles are said to be congruent if all three of their corresponding sides are equal and all three of their corresponding angles are equal in size. These triangles can be moved, rotated, flipped, and turned to look exactly the same.

Solution:

By SAS rule, two triangles are said to be congruent if any two sides and the angle included between the sides of one triangle are comparable to the corresponding two sides and the angle included between the sides of the second triangle.

In given figure, sides AB= PQ, BC=QR and angle between AB and BC equal to angle between PQ and QR i.e. ∠B = ∠Q. Hence, Δ ABC ≅ Δ PQR.

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Probability of at least one people behind taller person = n-1/n.

From the question, we have

n people of different heights are lined up in a queue

Probability of at least one people behind taller person = 1 - 1/n =n-1/n

Probability:

The term probability refers to possibility. The occurrence of a random event is the focus of this mathematical field. There is a 0 to 1 value range. To determine the possibility of certain events, probability has been employed in mathematics. The likelihood of anything happening is often referred to as probability. You can better understand the outcomes of a random experiment by applying this fundamental theory of probability, which also holds true for the probability distribution. Utilize probability to gauge a situation's likelihood of happening. Numerous factors are difficult to forecast with absolute precision. Using it, we can only speculate on whether or how likely it is that an event will occur.

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Answer:

  7/9

Step-by-step explanation:

The slope of the line between two given points is found using the slope formula:

  m = (y2 -y1)/(x2 -x1)

  m = (5 -(-2))/(3 -(-6)) = (5+2)/(3+6) = 7/9

The slope of the line is 7/9.

_____

Additional comment

The slope of a line is the same everywhere, so the slope of the segment from (x, y) to A is the same:

  (y -(-2))/(x -(-6)) = 7/9 . . . . use the slope equation

  9(y +2) = 7(x +6) . . . . . . . multiply by 9(x+6)

  9y +18 = 7x +42 . . . . . . eliminate parentheses

  7x -9y = -24 . . . . . . . subtract 9y+42

This is the standard form of the equation for the line through the two points. The slope-intercept form would be ...

  y = 7/9x +8/3

A real estate agent gets commission as $39877.83 on selling three houses.

Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".

Jack is a real estate agent and makes 4.5% commission on all properties that he sells.

Last month, he sold three houses, one for $356,784, one for $234,500 and one for $294,890.

Here, commission on $356,784 is

4.5% of 356,784

= 4.5/100 ×356,784

= 0.045×356,784

= $16055.28

Commission on $234,500 is

4.5% of 234,500

= 4.5/100 ×234,500

= 0.045×234,500

= $10552.5

Commission on $294,890 is

4.5% of 294,890

= 4.5/100 ×294,890

= 0.045×294,890

= $13270.05

So, the total commission is 16055.28+10552.5+13270.05

= $39877.83

Therefore, a real estate agent gets commission as $39877.83 on selling three houses.

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Answer:

x = 5

Step-by-step explanation:

the 2 legs are congruent ( indicated by the double dash through both ), so

2x = 10 ( divide both sifes by 2 )

x = 5

Answer: 5 banana 3 dollar

Step-by-step explanation:

per dollar"→divide by dollars

15\text{ bananas}:

15 bananas:

\,\,9\text{ dollars}

9 dollars

\frac{15\text{ bananas}}{9}:

9

15 bananas

​

:

\,\,\frac{9\text{ dollars}}{9}

9

9 dollars

​

\frac{5}{3}\text{ bananas}:

3

5

​

 bananas:

\,\,1\text{ dollar}

1 dollar

\frac{5}{3}\text{ bananas for every 1 dollar}

3

5

​

 bananas for every 1 dollar

\mathbf{\frac{5}{3}\text{ bananas per dollar}}

​

 5 bananas per 3 dollar

Unit rate is the quantity of an amount of something at a rate of one of another quantity.

If 15 bananas cost $9.

The cost of one banana is $0.6

The amount of banana per dollar is 5/3 banana

It is the quantity of an amount of something at a rate of one of another quantity.

In 2 hours, a man can walk for 6 miles.

In 1 hour, a man will walk for 3 miles.

If a machine can make 100 bottles in 20 minutes.

In 1 minute the machine can make 100/20 = 5 bottles.

We have,

Cost of 15 banana = $9

This can be written as:

15 banana = $9

Divide 9 on both sides.

15/9 banana = $1

5/3 banana = $1

The cost of one banana:

15 banana = $9

1 banana = 9/15

1 banana = 3/5

1 banana = $0.6

Thus,

If 15 bananas cost $9.

The cost of one banana is $0.6

The amount of banana per dollar is 5/3 banana

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Answer:

y - y1 = m(x - x1)

y-3=7( x - (- 1)

y - 3 = 7(x + 1)

y = 7x + 7 + 3

y = 7x + 10✨

Step-by-step explanation:

A measurable characteristic of an entire population is a parameter.

The population data is the real data for a certain attribute in the context of statistics, whereas the sample data is the representative data picked from the population. Metrics like mean, standard deviation, median, and mode are typically used to measure the characteristics of the sample and population.

Option B is the right response to the provided question.

A parameter is a quantity that affects a mathematical object's output or behavior yet is thought of as being held constant. Variables and parameters have a lot in common, and in some cases, the distinction is really one of perspective.

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