Determine whether the set of vectors is orthonormal. If the set is only​ orthogonal, normalize the vectors to produce an orthonormal set.Bold u 1 equals [Start 3 By 1 Matrix 1st Row 1st Column one third 2nd Row 1st Column one third 3rd Row 1st Column one third EndMatrix ]and Bold u 2 equals [Start 3 By 1 Matrix 1st Row 1st Column negative one half 2nd Row 1st Column 0 Subscript font size decreased by 6 Superscript font size decreased by 6 3rd Row 1st Column one half EndMatrix ]

Answer:

False

Step-by-step explanation:

7 4/10= 7.4

7.4<7.421

Answer: It's C

Step-by-step explanation:

Answer:three-fourths

Step-by-step explanation:

because my dad said it was right

The Null Hypothesis, H0 is "Marble color preference and income class are independent" and the Alternate Hypothesis, H1 is "Marble color preference and income class are dependent".

The null and alternative are always claims about the population. That’s because the goal of hypothesis testing is to make inferences about a population based on a sample. Often, we infer whether there’s an effect in the population by looking at differences between groups or relationships between variables in the sample. It’s critical for your research to write strong hypotheses.

We can use a statistical test to decide whether the evidence favors the null or alternative hypothesis. Each type of statistical test comes with a specific way of phrasing the null and alternative hypotheses. However, the hypotheses can also be phrased in a general way that applies to any test.

We are given that to test the claim that marble color preference and club membership are related.

Thus, the Null Hypothesis, H0 is "Marble color preference and income class are independent" and the Alternate Hypothesis, H1 is "Marble color preference and income class are dependent".

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Therefore , the solution of the given problem of matrix comes out to be matrix A's (3,4)th place is -1.

A matrix is a group of numbers arranged in rows and columns to form a rectangular array. The numbers make up the matrix's constituents or parts. Matrix algebra is widely used in many branches of mathematics, as well as in the sciences of architecture, physics, economics, and statistics.

Here,

Given that matrix A has 4 rows and 5 columns,

=> it has a dimension of 4 x 6.

=> -1, 2, 3, 4, and 5 are the values in the fourth row of matrix A.

=> 2, 0, 6, and -3 are the values in matrix A's third column.

The entry in matrix A's (3,4)th place is -1.

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Answer:

1: statistical

2: not statistical

3: statistical

Step-by-step explanation:

The first and third statements can be answered by many people.

How many sisters do you have?

- Not statistical

How many inches are in 2 feet?

- Not statistical

How many pets do you have?

- Not statistical

Statistical data are numerical or categorical information that has been collected through a systematic process and analyzed using statistical methods.

These data can be used to describe, summarize, compare, and draw conclusions about a population or a sample.

We have,

How many sisters do you have?

- Not statistical

How many inches are in 2 feet?

- Not statistical

How many pets do you have?

- Not statistical

None of these questions involve collecting, analyzing, or interpreting data, which are key characteristics of statistical questions.

They are simply asking for a count or a conversion of units, and do not involve any variability or uncertainty.

Thus,

All the given questions are not statistical.

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Answer:

Brand A

Step-by-step explanation:

Brand A has a box of 25 forks for 1.99

Take the price per fork

1.99 /25 = .0796

              .08 per fork

Brand B has a box of 42 totals for 3.89

3.89 / 42

.092319048

.09 per fork

Answer:

12 hours

Step-by-step explanation:

You have $12 in your bank and you need to get to  $60 so

60-12= 48 , you need 48 dollars to reach to 60

48/4 = 12 hours. So if you get paid 4 dollars an hours, you only need to work 12 hours

Answer:

You need to work 12 hours

Step-by-step explanation:

If you have already 12 dollars in the bank you will need to subtract them from your goal, since as said you already have them. Then, you divide 48 (dollars) by 4 (dollars) and you will get the amount of hours, 12.

Given:

The diagram of a circle.

\(m\angle BPV=124^\circ ,m\angle VPE=30^\circ ,m\angle EPF=76^\circ, m\angle FPD=48^\circ\).

To find:

The measure of arc BEF.

Solution:

The measure of central angle is equal to the measure of corresponding arc.

So, in the given figure,

\(n(arcBV)=124^\circ ,m(arcVE)=30^\circ ,m(arcEF)=76^\circ, m(arcFD)=48^\circ\)

Now,

\(m(arcBEF)=m(arcBV)+m(arcVE)+m(arcEF)\)

\(m(arcBEF)=124^\circ +30^\circ+76^\circ\)

\(m(arcBEF)=230^\circ\)

Therefore, the measure of arc BEF is 230 degrees.

Answer:

I believe that's the solution!

sorry for my letters...

The entire note balance of $540,000 is considered a long-term liability, since none of it is due within the next year.

What is liability?

In accounting and finance, a liability is a financial obligation or debt owed by an individual or organization to another party. Liabilities represent a company's legal financial debts or obligations that arise during the course of its operations.

Some common examples of liabilities include loans, accounts payable, wages and taxes owed, and other debts. Liabilities can be either current or long-term.

Current liabilities are obligations that must be paid within one year or within the company's operating cycle, whichever is longer. Examples of current liabilities include accounts payable, short-term loans, and accrued expenses.

Long-term liabilities are obligations that are due beyond one year or beyond the company's operating cycle. Examples of long-term liabilities include long-term loans, bonds payable, and pension obligations.

Liabilities are recorded on the balance sheet of a company, which provides a snapshot of the company's financial health at a specific point in time. In the balance sheet, liabilities are listed along with assets and equity, and they must be balanced with the total assets of the company. The amount of liabilities can be used to assess a company's risk profile, as well as its ability to pay its debts and meet its financial obligations.

To determine how much of the note balance is considered a long-term noncurrent liability, we need to first understand what those terms mean.

A long-term liability is a debt or obligation that is due in more than one year, while a noncurrent liability is a liability that is not due within the next year. Therefore, the portion of the note payable that is due in more than one year and is not due within the next year is considered a long-term noncurrent liability.

Since the note payable has a term of 10 years and requires monthly payments, the total number of payments will be 10 years × 12 months/year = 120 months. Each monthly payment is $4,500, so the total amount of payments over the life of the note is 120 months × $4,500/month = $540,000.

Therefore, the entire note balance of $540,000 is considered a long-term liability, since none of it is due within the next year.

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Answer:

57 sq ft

Step-by-step explanation:

SA = 2(3) + 2(3) + 5(4.5) + 3(4.5) + 2(4.5)

     = 6 + 6 + 22.5 + 13.5 + 9 = 57 sq ft

Answer:

Step-by-step explanation

let

the number = n

Therefore,

Is greater than 13 .

The graph of f(x) is the second one, so the correct option is B.

Here we have f(x), a piecewise function, and we want to see which one of the four graphs is the correct one.

You can see that the first domain of the function is:

x ≤ -4

So we must have a closed circle at x = -4, when the parabola ends.

The second domain is:

-4 < x < 1

So x here is not equal to -4 nor 1, so this part starts and ends with open circles.

finally, the linear part starts with a closed circle.

Also, notice that the line has a negative slope, so it goes down, then we can discard the first option.

Then we can see that the correct option is the second graph.

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Answer

Domain in the correct order: -11, -8, 0, 13

Range in the correct order: -13, 0, 8, 11

Step-by-step explanation:

394 subscribers are represented in the venn diagram.

Venn diagrams are charts that are used to visually represent relationships between sets, operations on those relationships, and set relationships. The Venn diagram, which uses circles that are overlapped, intersected, and not intersected to depict the relationship between sets, was created by John Venn. A set diagram or a logic diagram is another name for a Venn diagram, which shows a variety of set operations such the intersection, union, and difference of sets.

Additionally, it can be used to set items. a depiction of each relationship between several sets. Any closed figure, such as a circle or a polygon (square, hexagon, etc.), can be used to represent a Venn diagram. However, each group is typically represented as a circle.

according to the venn diagram

196+41+21+52+84 = 394

There are 394 subscribers

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Answer:

B

Step-by-step explanation:

Answer:

B) 8

Step-by-step explanation:

If you multiply 8 times 3, that will give you 24. But you'll have to subtract 6 afterwards. 24 - 6 is 18.

Order used:

P:arenthesis

E:xponents

M:ultipication

D:ivision

A:ddition

S:ubtraction

Multiplication comes before subtraction.

Answer:

the minimal loss of the optimal prediction would be g = 0

Step-by-step explanation:

From the given question, we formulate y and g to be:

\(y =\begin{cases} 1, & \text{rain with probability 0.1} \\ 0, & \text{rain with probability 0.9} \end{cases}\)

\(g =\begin{cases} 1, & \text{if we guess it will rain} \\ 0, & \text{if we guess it will not rain} \end{cases}\)

Loss function = L(y.g)

The expected loss for g = 1 & g = 0 can now be determined as follows:

When g = 1; ( i.e.  guess it will rain)

The expected loss = L(1,1) × Probability (y = 1) + L(0,1) × Probability (y = 0)

The expected loss = 0 × 0.1 + 100 × 0.9

The expected loss = $90

When g = 0; ( i.e.  guess it will not rain)

The expected loss = L(1,0) × Probability (y = 1) + L(0,0) × Probability (y = 0)

The expected loss = 500 × 0.1 + 0 × 0.9

The expected loss = $50

Therefore, the minimal loss of the optimal prediction would be g = 0 i.e it will not rain on the day of the child's birthday.

We can check if P(A and B) = P(A) x P(B) if the events are independent:

P(A) x P(B) = 0.14 x 0.65 = 0.0910

What is probability?

Probability is a measure of the likelihood of an event occurring. It is a number between 0 and 1, where 0 means the event is impossible and 1 means the event is certain to happen.

To determine whether the events of having hearing problems and listening to loud music on headphones are independent, we need to check if the occurrence of one event affects the probability of the other event.

Let A be the event of having hearing problems, and B be the event of regularly listening to loud music on headphones. We are given that:

P(A) = 0.14 (14% of the sample showed signs of hearing problems)

P(B) = 0.65 (65% of the sample reported listening to loud music on headphones regularly)

P(A') = 0.75 (75% of the sample were found not to have hearing problems)

We can calculate P(A and B), the probability of both events occurring, as follows:

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

where P(A|B) is the probability of having hearing problems given that the teenager listens to loud music on headphones regularly.

We can use Bayes' theorem to calculate P(A|B):

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

where P(B|A) is the probability of listening to loud music on headphones regularly given that the teenager has hearing problems. We do not have this information directly, but we can calculate it using the fact that:

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

rearranging this equation gives:

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

Substituting the values we have, we get:

P(B|A) = 0.14 / 0.65 = 0.2154

Now we can calculate P(A and B):

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

= 0.65 x 0.2154

= 0.1400

Finally, we can check if P(A and B) = P(A) x P(B) if the events are independent:

P(A) x P(B) = 0.14 x 0.65 = 0.0910

Since P(A and B) ≠ P(A) x P(B), we can conclude that the events of having hearing problems and listening to loud music on headphones are not independent. This means that listening to loud music on headphones regularly affects the probability of having hearing problems.

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Refer to the attachment.

\(\huge\text{Hey there!}\)

\(\large\textsf{c - 8y}\\\large\text{= -4 - 8(-5)}\\\large\text{= -4 - (-40)}\\\large\text{= -4 + 40}\\\large\text{= 36}\\\\\large\boxed{\text{Therefore, your answer: 36}}\huge\checkmark\\\\\large\text{Good luck on your assignment \& enjoy your day!}\\\\\frak{Amphitrite1040:)}\)

The limit of each function at the given point i n the question 10 to 14, is explained below.

A function may get close to two distinct limits. There are two scenarios: one in which the variable approaches its limit by values larger than the limit, and the other by values smaller than the limit. Although the right- and left-hand limits are present in this scenario, the limit is not defined.

When a variable approaches its limit from the right, the function's right-hand limit is the value that approaches.a

10). The limit of f(z) = Arg z as z approaches Zo = 1 does not exist. This is because the argument function is not continuous at the point z = 1, where there is a branch cut.

11). The limit of f(z) = \((1 - lm z)^{-1}\) as z approaches z0 = -8 does not exist. This is because the function approaches infinity as z approaches -8 from the left, and negative infinity as z approaches -8 from the right.

However, if we consider the limit of f(z) as z approaches z0 = -8 + i from both the left and the right, the limit exists and is equal to 0. This is because in the complex plane, the value of Im z cannot exceed 1, so as z approaches -8 + i, the denominator (1 - Im z) approaches 0, and the function approaches infinity. However, the numerator approaches a finite value of 1, which cancels out the denominator, and the overall limit is equal to 0.

12). The limit of f(z) = (z - 2) log(z - 2) as z approaches z0 = 2 is 0. This is because the term (z - 2) approaches 0 as z approaches 2, and log(z - 2) approaches 0 as well because log(z - 2) is continuous at z = 2. Therefore, the limit is equal to 0.

13). The limit of f(z) = -1/z as z approaches z0 = 0 does not exist. This is because as z approaches 0, the magnitude of 1/z approaches infinity, but the direction of approach depends on which quadrant the limit is approached from. Since the limit does not approach a unique value from all directions, the limit does not exist.

14). The limit of f(z) = 2 + \(2^{1/z}\) as z approaches infinity does not exist. This is because as z approaches infinity, the term  \(2^{1/z}\) approaches 1, and the limit approaches 2 + 1 = 3. However, if we approach infinity along the real axis, the limit of \(2^{1/z}\) approaches 1, but if we approach infinity along the imaginary axis, the limit of \(2^{1/z}\) approaches infinity. Therefore, the limit of f(z) does not exist.

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Juliet will earn the same amount of money whether she chooses a monthly salary of ​$1900 from the company or a base salary of ​$1800 plus a ​5% commission on furniture sales if her sales amount to $2000.

To find the amount of sales for which the two salary choices are equal, we set the equation for the base salary plus commission equal to the equation for the flat monthly salary. The equation can be written as:

1800 + 0.05x = 1900

where x is the amount of furniture sales in dollars.

Simplifying and solving for x, we get:

0.05x = 100

x = 2000

If she sells less than $2000 of furniture, she will earn more with the flat monthly salary of $1900. If she sells more than $2000 of furniture, she will earn more with the base salary plus commission. This calculation provides an important decision-making tool for Juliet, as she can tailor her salary choice based on her expected sales for the month.

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The function f(d) that models this discount on an item that costs d dollars is f(d) = d - 15

The given parameters are

Discount = $15

Value = d

The function f(d) that models this discount on an item that costs d dollars is

f(d) = Value - Discount

This gives

f(d) = d - 15

Hence, the function f(d) that models this discount on an item that costs d dollars is f(d) = d - 15

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Answer:

The Correct option is - d. all of the above.

Step-by-step explanation:

To find - In assessing the validity of any test of hypotheses, it is good practice to

a. examine the probability model that serves as a basis for the test by using exploratory data analysis on the data.

b. determine exactly how the study was conducted.

c. determine what assumptions the researchers made.

d. all of the above.

Proof -

All the Given options are correct to study the validity of a hypothesis test.

So,

The Correct option is - d. all of the above.

The most reasonable temperature for a snowy day is given as follows:

C. -6°C

Considering that it snows, the temperature is either negative or very low positive, as snow only happens on temperatures close to freezing (like 2º C) or negative.

17ºC and 26ºC are far from cold enough to generate snow, hence the most reasonable temperature for a snowy day is given as follows:

C. -6°C

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Answer:

The answer is b

Step-by-step explanation:

Answer: the answer is b

Step-by-step explanation:

Step-by-step explanation:

Given

(-7) + ( -8)

= -7 - 8

= -15

Hope it helps :)

A functiοn fοr the percentage is P = 25cοs(π/14t) + 25.

In the case οf a functiοn frοm οne set tο the οther, each element οf X receives exactly οne element οf Y. The functiοn's dοmain and cοdοmain are respectively referred tο as the sets X and Y as a whοle. Functiοns were first used tο describe the idealized relatiοnship between twο varying quantities.

Here, we have

Given:

Tο find the percentage οf the full mοοn, we can write an equatiοn in the fοrm P = Acοs(Bt) + C

After 14 days, the percentage οf the mοοn is zerο

A = (max-min)/2 = 50/2 = 25

The periοd = 28 days

P = Acοs(BT = t) + c

B = 2π/periοd = 2π/28 = π/14

c = min + A = 0 + 25 = 25

We get,

P = 25cοs(π/14t) + 25,

Here, p is the percentage οf the mοοn visible cοmpared tο the previοus full mοοn.

Hence, a functiοn fοr the percentage is P = 25cοs(π/14t) + 25.

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