how does hermite interpolation differ from ordinary interpolation? how does a cubic spline interpolant differ from a hermite cubic interpolant?

A dummy variable defined as a variable that has no effect on the regression equation is false.

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The measure of angle ABC is given as follows:

m < ABC = 145º.

Two angles are defined as supplementary angles when the sum of their measures is of 180º.

In a parallelogram, we have that the opposite angles are supplementary.

The opposite angles for this problem are given as follows:

Hence the measure of angle ABC is given as follows:

m < ABC + 35º = 180º.

m < ABC = 145º.

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Answer:

True

Step-by-step explanation:

Set A contains an element x such that x is an even whole number between 0 and 2 is empty because there is only one whole number between 0 and 2 and that is 1. But 1 is not an even number. There is no even whole number between 0 and 2 therefore Set A = phi

An even number must be divisible by 2 but 1 is not divisible by 2. It is not an even number.

A whole number does not have fractions or decimal part. There is only one whole number between zero and two that is 1 which is not even.

Thus the given statement is true.

Convenience sampling is not a type of statistical sampling.

What is statistical sampling?

Sampling techniques in a statistical study refer to how participants are chosen from the population to participate in the study.

If a sample isn't chosen at random, it will likely be skewed in some way, and the results might not be generalizable.

Main body:

Simple random sample:

Each individual and group of individuals have the same chance of being selected for the sample. To obtain a basic random sample, one needs technology, random number generators, or some other type of chance mechanism.

stratified Random sample :

The population is first divided into sections. There are some people from each group in the overall sample. Each group's participants are chosen at random.

Cluster sampling:

Grouping the population first, a cluster random sample is taken. Every member of some of the groups makes up the overall sample. The selection of the groups is random.

Hence Convenience sampling is not a type of statistical sampling.

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Answer:

21b

Step-by-step explanation:

A numerical expression for the total of 14 and 9 is 14+9.

What is a numerical expression?

⇒ A mathematical expression consisting only of numbers and operators like +, - etc. is called numerical expression, as given: 5 + 12.

What is the simplification of an expression?

⇒ Usually, simplification involves proceeding with the pending operations in the expression.

Simplification usually involves making the expression simple and easy to use later.

Calculation:

We need to write a numerical expression for the total of 14 and 9

Total means addition, The total of 14 and 9 which in the numerical form is  14+9.

Therefore, A numerical expression for the total of 14 and 9 is 14+9.

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Answer: True

Step-by-step explanation:

Simple.

The information that is needed to write the equation of a line in point-slope form is the location of one ordered pair that lies on the line and the line's slope. The correct option is the first option

From the question, we are to determine the information that is needed to write the equation of a line in point-slope form.

The point-slope form of a line is given as

y - y₁ = m(x - x₁)

Where, (x₁, y₁) is a point on the line

and m is the slope of the line

Thus, in order to write the equation of a line in the point-slope form, the information that are needed are:

1. An ordered pair on the line

2. The slope of the line

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Answer:

14. x² + (y + 1)² = 156.25

15. (x + 4)² + (y + 5)² = 400

16. (x + 6)² + (y - 2)² = 1

Step-by-step explanation:

14.

Center: (0, -1)

Circumference: 25π

circumference = 2πr

2πr = 25π

2r = 25

r = 12.5

(x - 0)² + (y - (-1))² = (12.5)²

x² + (y + 1)² = 156.25

15.

Center: (-4, -5)

Area: 400π

area = πr²

πr² = 400π

r² = 400

r = √400

r = 20

(x - (-4))² + (y - (-5))² = 20²

(x + 4)² + (y + 5)² = 400

16.

Center: (-6, 2)

Area: π

area = πr²

πr² = π

r² = 1

r = 1

(x - (-6))² + (y - 2)² = 1²

(x + 6)² + (y - 2)² = 1

The absolute value function for this problem is given as follows:

g(x) = |x - 1| - 2.

An absolute value function of vertex (h,k) is defined as follows:

y = a|x - h| + k.

In which a is the leading coefficient.

The coordinates of the vertex for this problem are given as follows:

(1, -2).

As the slope of the line is of 1, the leading coefficient is given as follows:

a = 1.

Hence the absolute value function for this problem is given as follows:

g(x) = |x - 1| - 2.

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Answer:

5-mile

Step-by-step explanation:

In order to calculate the distance between the park and the school, which is marked by the x in the picture attached we need to use the Pythagorean theorem. This equation is the following

\(a^{2}+b^{2} =c^{2}\)

where a is the 3 miles east and b is the 4 miles south ... now we can plug in these values and solve the equation.

\(3^{2} +4^{2} = c^{2}\)  ... square both the 3 and the 4

\(9 + 16 = c^{2}\)   ... add the two values

\(25 = c^{2}\)  ... square root both sides

\(\sqrt{25} = c\)

5 = c

Finally we can see that there is a 5-mile distance between the park and the apartment

Answer:

The surface area is 1,070 ft².

test of 250 questions

40% of the fist 125 are ok, this means that 125(0.4) = 50 questions of the first 125 are ok

If jassi needs 60% of the 250 ok, that is 250(0.6) = 150

If of the first half she already has 50 questions ok, and needs 150, she needs to have 100 questions our of the second 125

If she needs 100 out of 125, this percent is 100/125 = 0.8, this means 80%

Answer:

Jassi needs 80% of the second 125 questions to be ok

Answer:

Row n ---> 27th term is 27.

Row T ---> 27th term is 80.

Step-by-step explanation:

To find the 27th term for the top row, row n, you will use this formula:

an = a1 + f × (n-1)

The first number = 1

The common difference (f) = 1

a27 = 1 + 1 × (27-1)

a27 = 1 + 27 - 1

a27 = 28 - 1

a27 = 27

So, the 27th term is 27.

We will do the same for the row T.

an = a1 + f × (n-1)

The first number = 2

The common difference (f) = 3

a27 = 2 + 3 × (27-1)

a27 = 2 + 81 - 3

a27 = 83 - 3

a27 = 80

So, the 27th term is 80.

An illustrates the abuse of respondents in marketing research is :

Not providing the promised incentive for completing interviews or questionnaires.

The world organization body, the American Marketing Association (AMA), conveys the definition of marketing research is a function that connects customers, consumers, or the general public with marketers through information used to identify marketing problems and opportunities.

Meanwhile, Philip Kotler defines marketing research as the systematic design, collection, analysis, and reporting of data or findings that are relevant to a particular marketing situation faced by a company.

Simply put, marketing research is the identification, collection, analysis, and presentation of systematic and objective information to help companies make decisions related to problem solutions and find opportunities in the marketing process.

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Answer:

I'm not 100% sure but i think its a  

Step-by-step explanation:

Both have 2 heads and 2 tails so that's 4 and it's a fair game and b is wrong and you will eliminate c.

The game is fair because there is an equal chance of winning an losing the game.

Probability is simply how likely something is to happen.

\(P(E )=\frac{Number\ of \ favorable\ outcomes }{Total\ number \ of outcomes}\)

Where,

P(E) is the probability of an event.

A fair game is the game in which there is an equal chance of wining or losing.

According to the given question.

Two coins are tossed.

\(\implies sample\ space= \{ HH, HT, TH, TT\}\)

\(\implies total\ number \ of outcomes = 4\)

Therefore,

The probability that you win is given by

\(P(E_{1} )=\frac{Number\ of \ favorable\ outcomes }{Total\ number \ of outcomes}\)

\(\implies P(E_{1} )= \frac{1}{4}\)                            (getting HH is a favorable outcome)

\(\implies probability\ of\ losing\ the\ game = 1-\frac{1}{4} =\frac{3}{4}\)

And, the probability that your friend wins the game is given by

\(P(E_{2}) = \frac{Total\ number\ of\ favorable\ outcomes\ }{Total\ number\ of\ outcomes}\)

\(\implies P(E_{2} )=\frac{1}{4}\)                    (getting TT is the favorable outcome)

\(\implies probability\ of\ losing\ the\ game = 1-\frac{1}{4} =\frac{3}{4}\)

Hence, the game is fair because there is an equal chance of winning an losing the game.

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If the standard deviation of a set of data is 6, then the value of variance is 36

The formula for determining variance is variance = √Standard deviation

Variance of a set of data is equal to square of the standard deviation.

If the standard deviation of a set of data is 6 then we get variance by putting the value of standard deviation in the formula

variance = √Standard deviation

Take square root on both sides

Standard deviation² = 6²

Standard deviation= 36

Hence,  standard deviation of a set of data is 6, then the value of variance is 36

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Answer:

3

Step-by-step explanation:

The answer is 3 because first you add -2 + 1 which is -1 then you multiply -3 by -1 and you get 3

The amount of rain on Monday is 1/10 inches

The given parameters are

Monday = 4/5

Tuesday = 7/10 inches less than Monday

This can be represented as:

Tuesday = Monday - 7/10

So, we have:

Tuesday = 4/5 - 7/10

Evaluate the difference

Tuesday = 1/10

Hence, the amount of rain on Monday is 1/10 inches

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Answer:Is D

Step-by-step explanation:

Ed 2020

The three possible solutions to each the three inequalities are as follows;

x - 3·x ≤ -9

1) (0, 3)

2) (-9, 0)

3) (3, 4)

4·x - 3·y < 9

1) (0, -0.29)

2) (9/4, 0.1)

3) (3, 1.1)

y ≥ -2·x + 3

1) (0, 3)

2) (3.2, 0)

3) (1, 1)

An inequality compares expressions that are non equal by using the operators, ≤, ≥, <, >, ≠

Therefore;

x - 3·y ≤ -9

-3·y ≤ -9 - x

y ≥  (-9 - x)/(-3) = 3 + x/3

y ≥ 3 + x/3

The graph of the above inequality has a slope of (1/3), and a y-intercept of 3

The x-intercept is; x/3 = -3

x = -9

The x-intercept is -9

A point on the graph is; y = 3 + 3/3  = 4, which is the point (3, 4)

Three solutions are therefore;

1) (0, 3)

2) (-9, 0)

3) (3, 4)

-3·y < 9 - 4·x

y > (9 - 4·x)/(-3) = -3 + 4·x/3

y > -3 + 4·x/3

The y-intercept is; (0, -3)

The point (0, -0.29) is a solution

The x-intercept can be found from the equation;

0 = -3 + 4·x/3

4·x/3 = 3

x = 9/4

The x-intercept is the point (9/4, 0)

The point (9/4, 0.1) is a solution

A point in the feasible region is found when x = 3 as follows;

y > -3 + 4 × 3/3 = 1

y > 1

Therefore;  the point (3, 1.1) is a solution

The three solutions are;

1) (0, -0.29)

2) (9/4, 0.1)

3) (3, 1.1)

1) The y-intercept is the point (0, 3), which is a solution

The x-intercept is found as follows;

y ≥ -2·x + 3

At the x-intercept, y = 0, therefore;

0 ≥ -2·x + 3

-2·x + 3 = 0

2·x = 3

x = 3/2

The x-intercept is (3/2, 0)

2) The point (3.2, 0) is a solution

A point on the graph, y ≥ -2·x + 3, is found when x = 1, as follows;

y ≥ -2 × 1 + 3 = 1

3) The coordinate of a point on the graph is (1, 1), which is a solution;

The three solutions are;

1) (0, 3)

2) (3.2, 0)

3) (1, 1)

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Answer:

I believe the first one is correct, not so sure about the other one.

Step-by-step explanation:

Divide the total spent by the total feet:

$398.40 / 1000 = 0.3984 per foot.

Round the answer as needed.

To determine how large a test statistic must be to reject the null hypothesis in favor of the alternative hypothesis, we need to first establish a hypothesis test. A hypothesis test is a statistical procedure that helps us determine if there is enough evidence to support a particular hypothesis.

In a hypothesis test, we start with a null hypothesis (H0) which is a statement that there is no significant difference between two groups or variables. The alternative hypothesis (Ha) is the statement that there is a significant difference between the two groups or variables.

Once we have established our null and alternative hypotheses, we need to conduct a statistical test to determine if there is enough evidence to reject the null hypothesis in favor of the alternative hypothesis. The test statistic is the numerical value that we obtain from our statistical test, which we compare to a critical value to determine if we can reject the null hypothesis.

The critical value is determined by the level of significance (α) we have chosen for our test, which is the probability of making a type I error (rejecting the null hypothesis when it is actually true). Typically, the level of significance is set at 0.05 or 0.01.

So, to answer the question, how large a test statistic must be to reject the null hypothesis in favor of the alternative hypothesis depends on the level of significance we have chosen, as well as the degrees of freedom and distribution of the test statistic. The critical value for a given level of significance and degrees of freedom can be found in statistical tables or calculated using software. If the test statistic is larger than the critical value, we can reject the null hypothesis in favor of the alternative hypothesis.

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Both statements can be included in the exact numbers category.

Maple provides two kinds of numbers: exact and inexact. If you do arithmetic with exact numbers (and they aren't too large) the answer that you get back is exactly right. If you do arithmetic with inexact numbers (and they aren't too large or too small) the answer may have a small amount of roundoff error. Although we'll treat this distinction at length in future lessons, it is convenient to take a preliminary look right now.

consider the four bicycles in the family have been ridden for a total of 250 mi.

The above statement can be categorized into exact numbers as 4 and 250 are countable.

Now, consider a child fell and had a 4-cm laceration that required 12 stitches.

The above statement can be categorized into exact as the numbers 4 and 12 are countable.

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Answer:

The fraction in simplest form is: 25/3

The exact length of the curve y = 7 + (1/5)cosh(5x) for 0 ≤ x ≤ 2 is approximately 8.826 units.

To find the exact length of the curve y = 7 + (1/5)cosh(5x) for 0 ≤ x ≤ 2, we need to use the arc length formula:

L = ∫[a,b] sqrt(1 + [f'(x)]^2) dx

where a = 0, b = 2, and f(x) = 7 + (1/5)cosh(5x).

First, we need to find f'(x):

f'(x) = (1/5)*sinh(5x)

Now we can substitute f'(x) and f(x) into the arc length formula:

L = ∫[0,2] sqrt(1 + [f'(x)]^2) dx

L = ∫[0,2] sqrt(1 + (1/25)*sinh^2(5x)) dx

This integral cannot be evaluated in terms of elementary functions, so we need to use a numerical method to approximate the value of the integral. One common numerical method is Simpson's Rule:

L ≈ h/3 [f(x0) + 4f(x1) + 2f(x2) + 4f(x3) + ... + 2f(xn-2) + 4f(xn-1) + f(xn)]

where h = (b-a)/n and n is an even integer.

Using n = 10, we can calculate the approximate value of the integral:

h = (2-0)/10 = 0.2

L ≈ 0.2/3 [f(0) + 4f(0.2) + 2f(0.4) + 4f(0.6) + 2f(0.8) + 4f(1) + 2f(1.2) + 4f(1.4) + 2f(1.6) + 4f(1.8) + f(2)]

L ≈ 8.826

Therefore, the exact length of the curve y = 7 + (1/5)cosh(5x) for 0 ≤ x ≤ 2 is approximately 8.826 units.

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Answer:

47.13

Step-by-step explanation:

Answer:

mm99

Step-by-step explanation: