Create a curve that uses a quadratic parametric
approach with three interpolated control points. The
equations which describe the curve are:
$$f_x(u) = c_0 u^2 + c_1 u + c_2 $$
and
$$f_y(u) = c_3 u^2

Answer:

(6, -3)

Explanation:

The formula for the midpoint rule is (x,y) =( (x1+x2/2) , (y1+y2/2) )

so here, i did ( (12/2), (-6/2) )

The perimeter of square ABCD is 28 units.

The perimeter of a square is the sum of all its sides. In this case, we need to find the perimeter of square ABCD.

The question provides two possible answers: 28 units and 37 units. However, we can only choose one correct answer. To determine the correct answer, let's think step by step.

A square has all four sides equal in length. Therefore, if we know the length of one side, we can find the perimeter.

If the perimeter of the square is 28 units, that would mean each side is 28/4 = 7 units long. However, if the perimeter is 37 units, that would mean each side is 37/4 = 9.25 units long.

Since a side length of 9.25 units is not a whole number, it is unlikely to be the correct answer. Hence, the perimeter of square ABCD is most likely 28 units.

In conclusion, the perimeter of square ABCD is 28 units.

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(a) The sample mean of the given data is 106.04 grams, and the sample standard deviation is 1.84 grams.

(b) Using the empirical rule, we can say that approximately 95% of the data falls within two standard deviations of the mean. Therefore, the interval would be (106.04 - 2(1.84), 106.04 + 2(1.84)) or approximately (102.36, 109.72) grams.

(c) The five-number summary of the data is minimum = 101.7, Q1 = 105.8, median = 106.7, Q3 = 107.9, and maximum = 110.2. The box plot shows the distribution of the data with a box representing the interquartile range (IQR) and whiskers extending to the minimum and maximum values.

(d) The 90th percentile of the data can be found by arranging the data in increasing order and locating the value that corresponds to the 90th percentile. The 90th percentile is approximately 109.72 grams.

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Answer:

The answer for this question ( ur exit ticket ) is C .

Answer:

C

Step-by-step explanation:

  We're told that for Sylvia to make a pink paint, he needs to mix 7 cups of white paint to every 3 cups of white paint.

Looking at the options , the correct one is C because it shows that the number of pink paints made.

For instance, if we're to make 1 pink paint , we'll need 7 of white paint and  3 cups of red paint.

If we're to make 2 pink paints, we'll need 14 cups of white paint and 6 cups of red paint

if we're to make 3 pink paints, we'll need 21 cups of white paint and 9 cups of red paint and so forth

PLEASE MARK ME AS BRAINLIEST

Answer:

26, 31, 36

Step-by-step explanation:

Add 5 for each term

Answer:

1)D

2)D

3)A

Step-by-step explanation:

Answer:

18.19

Step-by-step explanation:

15% of 20 = 3

20 - 3 = 17

7% of 17 = 1.19

17 + 1.19 = 18.19

The resulting value of the variable 'c' is '00000101' in binary, which is equal to 5 in decimal.

In the given code, the variables 'a' and 'b' are defined as 'char' type with values 20 and 6, respectively. The expression 'a >> b' performs a right shift operation on 'a' by 'b' positions. In this case, 'a' is represented as '00010100' in binary.

When we perform a right shift by 6 positions, the rightmost 6 bits are discarded, and the remaining bits are shifted to the right. After the right shift, the binary representation of 'a' becomes '00000000'.

Now, the resulting value is assigned to the variable 'c' of type 'char'. The 'char' data type typically uses 8 bits to represent values. Therefore, the resulting binary value '00000000' is padded with leading zeros to fit into 8 bits.

Thus, the final value of 'c' is '00000101' in binary, which is equal to 5 in decimal.

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Answer: The answer is y= -6/7x+1

The shortest path between two points on the sphere is the arc of a great circle. Thus, option C is correct.

According to the statement

We have to find about the distance.

So, For this purpose, we know that the

The distance between two points is that the length of the path connecting them.

From the given information:

We have to search out that the the shortest distance between two points on a sphere.

Then we all know that the

Sphere is that the set of all points in three-dimensional space lying the identical distance from a given point, or the results of rotating a circle about one in every of its diameters.

Then

The shortest path between two points on the sphere is that the arc of a good circle.

According to this the option C is correct.

So, The shortest path between two points on the sphere is the arc of a great circle. Thus, option C is correct.

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The researcher could also use a random number generator to select the members of the sample, instead of selecting them at regular intervals.

The formula for calculating a systematic sample is p = (n/N) x 100, where p is the percentage of the population to be sampled, n is the sample size, and N is the total population size. For example, if a researcher wanted to sample 100 people from a population of 500, the formula would be p = (100/500) x 100 = 20%. This means that the researcher would select every fifth person in the population to be included in the sample. The researcher could also use a random number generator to select the members of the sample, instead of selecting them at regular intervals.

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Answer:

(-6,-4)

Step-by-step explanation:

Based on the information, Sascha will get an annual interest payment of $63.40.

According to the data, Sascha owns stock in Lewis Corp. She also purchased a $1,000 corporate bond with a 6.34% annual interest rate.

In this case, it should be noted that the simple interest is calculated as:

Principal × Rate × Time

Principal = $1000

Time = 1 year

Rate = 6.34%

The interest will be:

I= Principal × Rate × Time

I= 1000 × 0.0634 × 1

I= $63.40

Therefore, based on the information, Sascha will get an annual interest payment of $63.40.

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20 % or 0.2 portion of his screws he will need to use.

According to the question

A builder has 8 boxes of screws in his storage.

Each box contains 400 screws.

So, 8 × 400

= 3200 screw in 8 boxes

If he needs 640 to complete a project, what portion of his screws he will need to use:

= \(\frac{640}{3200} \times 100\)

= (1/5) × 100

= 20 % or 0.2

Therefore,

20 % or 0.2 portion of his screws he will need to use.

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Answer:1:160000

2:20

Step-by-step explanation:

Answer:

Your answer would be  -300+150+(-50)

Step-by-step explanation:

Answer:

ok so the answer is:

6x + 4y= 4   --->  y = -3/2x + 1

12y = -3x + 4  ---> y = -1/4x + 1/6

happy to help!

Answer:

46 degree

Step-by-step explanation:

as we know, 130 degree = 84degree+ <2
now <2 = 130 - 84 = 46 degree

The statement is true. If a sequence {an} satisfies the condition an > 0 and lim n→∞ (an + 1)/an < 1, then the limit of the sequence as n approaches infinity, lim n→∞ an, is equal to 0.

To prove the statement, we use the limit comparison test. Let's assume that lim n→∞ (an + 1)/an = L, where L < 1. Since L < 1, we can choose a positive number ε such that 0 < ε < 1 - L. Now, there exists a positive integer N such that for all n ≥ N, we have (an + 1)/an < L + ε. Rearranging the inequality, we get an + 1 < (L + ε)an.

Now, let's consider the inequality for n ≥ N:

an + 1 < (L + ε)an < an.

Dividing both sides by an, we get (an + 1)/an < 1, which contradicts the given condition. Hence, our assumption that lim n→∞ (an + 1)/an = L is incorrect. Therefore, the only possible limit for the sequence {an} as n approaches infinity is 0, and hence the statement is true.

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The prοbability that the prοpοrtiοn οf red marbles in the sample frοm bin a is greater than the prοpοrtiοn οf red marbles frοm bin b is 0.1573.

Prοbability is a way οf calculating hοw likely sοmething is tο happen. It is difficult tο prοvide a cοmplete predictiοn fοr many events. Using it, we can οnly fοrecast the prοbability, οr likelihοοd, οf an event οccurring. The prοbability might be between 0 and 1, where 0 denοtes an impοssibility and 1 denοtes a certainty.

Here by using probability calculator for sampling distribution of \(p_1-p_2\).

\(z=\frac{\hat p_1-\hat p_2}{\sqrt{\frac{p_1(1-p_1)}{n_1}+\frac{p_2(1-p_2)}{n_2}}}\)

Here \(\hat p_1=p_1\) = 40% = 0.40 and \(\hat {p_2}=p_2\) = 52% = 0.52 and \(n_1=0 , n_2=40\)

=> \(z=\frac{0.40-0.52}{\sqrt{\frac{0.40(1-0.40)}{0}+\frac{0.52(1-0.52)}{40}}}\)

=> z = -1.00561

Here \(\hat p_1 > \hat p_2\)

=> \(\hat p_1 - \hat p_2 > 0\)

Then , P(x<z) = 0.1573.

Hence  the prοbability that the prοpοrtiοn οf red marbles in the sample frοm bin a is greater than the prοpοrtiοn οf red marbles frοm bin b is 0.1573.

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354 students just passed the exam.

In an exam, 460 students were tested. 23% of the students were graded as good while the rest were graded as pass. No student failed the exam. Find the number of students who just passed.

Step 1: Calculate the number of students who were graded as good

To calculate the number of students who were graded as good, we will use the formula:

Percentage = (Number of students with a grade / Total number of students) × 10023% of 460 students= (23/100) × 460= 105.8 students, which we can round off to 106 students.

Step 2: Calculate the number of students who passed

To calculate the number of students who passed the exam, we will subtract the number of students who were graded as good from the total number of students:

Total number of students = 460

Number of students who were graded as good = 106

Therefore, the number of students who just passed is:

Pass = Total number of students - Number of students who were graded as good= 460 - 106= 354 students

Therefore, 354 students just passed the exam.

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Answer: here it is

Step-by-step explanation:

Statement A is an example of inductive statement, whereas, statement B is a example of deductive statement.

Inductive reasoning is a method of reasoning in which a body of observations is considered to derive a general principle. It consists of making broad generalizations based on specific observations.

For example,

The last few times I’ve driven past the beach on a sunny day, the parking lot was nearly full. Therefore, on sunny days, the beach parking lot will be nearly full.

Deductive reasoning is the mental process of drawing deductive inferences. An inference is deductively valid if its conclusion follows logically from its premises, i.e. if it is impossible for the premises to be true and the conclusion to be false.

For example,

On Thursdays, the trash gets picked up at the curb of the driveway. Today is Thursday. Therefore, the trash will get picked up at the curb of the driveway today.

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The probability that the second interview will be given to a woman, given that the first interview was given to another woman, is 13/19.

Probability is a number that expresses the likelihood or chance that a specific event will take place. Both proportions ranging from 0 to 1 and percentages ranging from 0% to 100% can be used to describe probabilities.

Given, There are 20 candidates for a job position, of whom 14 are women and 6 are men.

To solve the problem, we can use the conditional probability formula:

P(A | B) = P(A and B) / P(B)

where P(A | B) is the probability of event A given that event B has occurred, P(A and B) is the probability of both events A and B occurring, and P(B) is the probability of event B occurring.

Let's first calculate the probability of the first interview being given to a woman:

P(W1) = 14/20 = 0.7

where W1 represents the event that the first interview is given to a woman.

Since a candidate can only be interviewed once, there are now 19 candidates left, of whom 13 are women and 6 are men.

Thus, the probability of the second interview being given to a woman, given that the first interview was given to another woman, can be calculated as:

P(W2 | W1) = P(W1 and W2) / P(W1)

where W2 represents the event that the second interview is given to a woman.

To calculate the joint probability P(W1 and W2),

we need to consider that after the first interview, there are 13 women left out of 19 candidates,

so the probability of the second interview being given to a woman is:

P(W2) = 13/19

Now, we need to calculate the probability that both events occur.

Since the interviews are given one by one, the probability of the first and second interviews being given to women is:

P(W1 and W2) = P(W1) * P(W2 | W1)

= (14/20) * (13/19)

= 91/190

Therefore, the probability that the second interview will be given to a woman, given that the first interview was given to another woman, is:

P(W2 | W1) = P(W1 and W2) / P(W1)

= (91/190) / (14/20)

= 13/19

So, the probability that the second interview will be given to a woman, given that the first interview was given to another woman, is 13/19.

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The first model of inequality satisfy the problem i.e 2w + 2* 4w ≤ 106

A rectangle is a four-sided, two-dimensional flat shape. The opposite sides of a rectangle's four sides are parallel and equal to one another. It belongs to a category of quadrilaterals where each of the four angles is a straight angle or measures 90 degrees. A particular kind of parallelogram that has all of its angles equal is the rectangle. A square is a rectangle with four equally sized sides. Let's now explore the characteristics of the rectangle in this essay.

Rectangles' essential characteristics are as follows:

A rectangle is a parallelogram.

The Perimeter of the rectangle is 2a + 2b where a and b are the two sides

Now , if w is the width of the rectangle then, the length is 4w given in problem.

Perimeter,

2w + 2* 4w

As it is given in the problem

2w + 2* 4w ≤ 106

The first model of inequality satisfy the problem.

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Answer:

see below

Step-by-step explanation:

1 1/4 > z

Open circle and 1 1/4 since there is no equals sign

line goes to the left since z is less than the number

Since we are working with the ">" symbol, its going to be an open circle.

Since 5/4 is greater than z, that means that the lie will go on forever to the left.

The arrow second from last is the correct answer (the that is a left arrow with an open circle).

Best of Luck!

The statement is true. If we take any two distinct prime numbers, and the number "1", these numbers will always be pairwise relatively prime.

Two numbers are said to be pairwise relatively prime if their greatest common divisor (GCD) is equal to 1. In this case, since we are considering distinct prime numbers, their GCD will always be 1 since prime numbers have no common factors other than 1 and themselves. Therefore, any two distinct prime numbers will be relatively prime.

Similarly, when we consider the number "1", it is relatively prime to any other number because its only divisor is 1. Hence, when "1" is paired with any prime number, the GCD will be 1.

In summary, whether we consider two distinct prime numbers or pair them with the number "1", the resulting numbers will always be pairwise relatively prime.

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