I need help with a statistics question. I got the correct answer but I’m confused on why it’s correct. The correct answer is C. Why is C the right answer?

I attached an image of the problem

Answer:

implify the expression.

Exact Form:

39/16

Decimal Form:

2.4375

Mixed Number Form:

2 7/16

Step-by-step explanation:

Answer:

Tally marks are used for counting and are represented as a set of five lines in which there are four vertical lines (one vertical line is made for each of the first four numbers) and the fifth number is represented by a diagonal line across the previous four numbers.

They are a form of numeral used for counting. 

Answer:

Something is wrong here, the correct answer is $45 which is not listed.

Step-by-step explanation:

36 x 1.25 = 45

Answer:

18 hours

Step-by-step explanation:

I Divided 15 to 270 and got 18 :)

Answer:

18

Step-by-step explanation:

just divied 270 by 15 and you get 18

Answer:220

Step-by-step explanation:

do 20 x 3.14 and then youll have your anwser...id use a calculator btw

Then round it to the nearest whole number and BOOM anwser!!

i got 62.8 so round that and youll have ur anwser

Answer:

I think the fourth one and what is going on with it being upside down lol??????????????

Step-by-step explanation:

lmk if I helped but if I did not I will give ur points back:).

The (i,j)-th entry of \(M^T M\) is the same as the (j,i)-th entry of \((M^T)^T M^T\), which is just the (j,i)-th entry of\(M^T M\), \(M^T M\) is symmetric, g(x) is not positive-definite.

(a) The transpose of a matrix is obtained by interchanging its rows and columns. Therefore, for any matrix \(M, (M^T)^T = M\).

Now, let's consider the product \(M^T M\). The (i,j)-th entry of this product is obtained by taking the dot product of the i-th row of \(M^T\) and the j-th column of M. But the j-th column of M is just the j-th row of\(M^T\), so we are taking the dot product of two rows of\(M^T\). Therefore, the (i,j)-th entry of \(M^T M\) is the same as the (j,i)-th entry of \((M^T)^T M^T\), which is just the (j,i)-th entry of\(M^T M\). Therefore, \(M^T M\) is symmetric.

(b) We have \(g(x) = x^T (M^T M) x\). Let's expand this product:

\(g(x) = [x^T (M^T)][Mx]\\= [(Mx)^T][Mx]\\= ||Mx||^2\)

Therefore, \(g(x) = ||Mx||^2\).

Now, let's consider \(q(x) = g(x) = ||Mx||^2\). We want to show that q(x) is positive-semidefinite, which means we need to show that q(x) is non-negative for all x. This is easy to see since ||Mx||^2 is the squared length of the vector Mx, which is always non-negative.

(c) To show that q(x) is positive-definite exactly when N(M) = {0}, we need to show two things:

(i) If N(M) = {0}, then q(x) is positive-definite.

(ii) If N(M) is not equal to {0}, then q(x) is not positive-definite.

(i) Suppose N(M) = {0}. This means that the only vector that satisfies Mx = 0 is the zero vector. Now suppose that \(g(x) = ||Mx||^2 = 0\). This implies that Mx = 0, since the length of a vector is zero if and only if the vector itself is zero. But we just showed that the only vector that satisfies Mx = 0 is the zero vector, so x must be the zero vector. Therefore, \(g(x) = ||Mx||^2 = 0\) if and only if x = 0, which means that g(x) is positive-definite.

(ii) Now suppose that N(M) is not equal to {0}. This means that there exists a non-zero vector v such that Mv = 0. Let's consider the vector x = v/||v||. Then ||x|| = 1 and Mx = M(v/||v||) = (1/||v||)Mv = 0. Therefore, \(g(x) = ||Mx||^2 = 0\), even though x is not the zero vector. This means that g(x) is not positive-definite.

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Answer:

the original price of the shirt was $70.

Step-by-step explanation:

Let's use the variable "p" to represent the original price of the shirt. Then, we know that the sale price is 60% of the original price, which can be written as:

0.6p

We also know that the original price is $28 more than the sale price, so we can set up another equation:

p = 0.6p + 28

Now we can solve for p:

p = 0.6p + 28 (subtract 0.6p from both sides)

0.4p = 28 (simplify by combining like terms)

p = 70 (divide both sides by 0.4)

Therefore, the original price of the shirt was $70.

Answer:

0.108

Step-by-step explanation:

Answer:

5.76106287

Step-by-step explanation:

Answer: 5.76106287488

Step-by-step explanation:

\(\dfrac{2}{3}x=6\)

\(\dfrac{\frac{2}{3}x}{\frac{2}{3}}=\dfrac{6}{\frac{2}{3}}\\\\x=\dfrac{6}{\frac{2}{3}}\\\\x=6\div\dfrac{2}{3}\)

\(x=6\times\dfrac{3}{2}\\\\x=\dfrac{18}{2}\\\\x=9\)

x = 9

With Square Payments, you can easily and safely accept all forms of payment. You can collaborate with customers rather than competing with them when it comes to how they want to pay for goods and services when you use Square Payments.

Through Square, you can accept credit cards, Apple Pay, Android Pay, and a lot of other payment options. A client is an individual or company who purchases goods or services from another company. Customers are essential because they produce income. Without them, companies would cease to exist. A customer is the recipient of a good, service, product, or idea in sales, commerce, or economics that they have purchased from a seller, vendor, or supplier in exchange for money or another useful consideration. When a customer buys something and uses it themselves, they are considered a consumer. Although they might not be the final users, customers always buy goods or services. Although they might not have paid for it, consumers are always the ones who use a good or service in the end.

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Answer:

8

Step-by-step explanation:

When we have something like (g+f)(x), we have to take g(x) and f(x) and then add them up. Let's start by finding g(-2) and f(-2):

\(g(x)=5-x^2\\g(-2)=5-(-2)^2=5-4=1\\\\f(x)=-2x+3\\f(-2)=-2(-2)+3=4+3=7\)

Now, we just add them up to get our answer: 7 + 1 = 8

The three angles in the triangle ABC are approximately 0.45 radians (A and C) and 1.37 radians (B).

To determine the three angles in the triangle ABC, we can use the law of cosines, which relates the lengths of the sides of a triangle to the cosine of the angles opposite those sides. The law of cosines states that for a triangle with sides a, b, and c, and angles A, B, and C opposite those sides:

```

a^2 = b^2 + c^2 - 2bc cos(A)

b^2 = a^2 + c^2 - 2ac cos(B)

c^2 = a^2 + b^2 - 2ab cos(C)

```

We can use these equations to solve for the three angles in the triangle ABC.

First, we need to find the lengths of the sides of the triangle. We can use the distance formula to find the lengths of the sides AB, BC, and AC:

```

AB = sqrt((7-2)^2 + (7-2)^2) = sqrt(50)

BC = sqrt((4-2)^2 + (8-2)^2) = sqrt(52)

AC = sqrt((7-4)^2 + (7-8)^2) = sqrt(10)

```

Now we can use the law of cosines to solve for the angles:

```

cos(A) = (b^2 + c^2 - a^2) / 2bc

cos(B) = (a^2 + c^2 - b^2) / 2ac

cos(C) = (a^2 + b^2 - c^2) / 2ab

```

```

cos(A) = (50 + 10 - 52) / (2 * sqrt(50) * sqrt(10)) = 0.9

cos(B) = (50 + 52 - 10) / (2 * sqrt(50) * sqrt(52)) = 0.2

cos(C) = (10 + 52 - 50) / (2 * sqrt(10) * sqrt(52)) = 0.9

```

Now we can use the inverse cosine function to find the values of A, B, and C:

```

A = acos(0.9) ≈ 0.45 radians

B = acos(0.2) ≈ 1.37 radians

C = acos(0.9) ≈ 0.45 radians

```

Therefore, the three angles in the triangle ABC are approximately 0.45 radians (A and C) and 1.37 radians (B).

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Option B "Perpendicular Lines"  is correct.

"Perpendicular Lines" are two lines that intersect at a right angle, forming 90-degree angles between them. Thus, Option B holds the truth.

Perpendicular lines are a fundamental concept in geometry and they are defined as two lines that meet at a right angle; forming four 90-degree angles. This means that the slopes of the two lines are negative reciprocals of each other. Perpendicular lines are important in many areas of mathematics and physics because they allow us to calculate angles, distances and other geometric properties.

Perpendicular lines are useful in many practical applications such as: architecture, engineering and construction. By understanding the properties of perpendicular lines, one can better understand the geometry of our world and solve real-world problems.

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The maximum value of f(x, y) = x + y, subject to the budget constraint 2x + 4y = 8, is 4.

To solve the constrained maximization problem:

Maximize f(x, y) = x + y

Subject to the budget constraint: 2x + 4y = 8

We can use the method of Lagrange multipliers to find the solution.

Step 1: Set up the Lagrangian function:

L(x, y, λ) = f(x, y) + λ(g(x, y) - c)

Where:

f(x, y) = x + y (objective function to maximize)

g(x, y) = 2x + 4y (budget constraint)

c = 8 (constant in the budget constraint)

λ is the Lagrange multiplier.

Step 2: Take partial derivatives of L(x, y, λ) with respect to x, y, and λ:

∂L/∂x = ∂f/∂x + λ∂g/∂x = 1 + 2λ

∂L/∂y = ∂f/∂y + λ∂g/∂y = 1 + 4λ

∂L/∂λ = g(x, y) - c = 2x + 4y - 8

Step 3: Set the partial derivatives equal to zero and solve the resulting system of equations:

1 + 2λ = 0 --> λ = -1/2

1 + 4λ = 0 --> λ = -1/4

2x + 4y - 8 = 0

Solving the last equation:

2x + 4y - 8 = 0

x + 2y = 4

x = 4 - 2y

Substituting x in terms of y into the budget constraint:

2(4 - 2y) + 4y = 8

8 - 4y + 4y = 8

8 = 8

The constraint equation is satisfied.

Step 4: Plug the values of x and y back into the objective function to find the maximum value:

f(x, y) = x + y

f(x, y) = (4 - 2y) + y

f(x, y) = 4 - y

Therefore, the maximum value of f(x, y) = x + y, subject to the budget constraint 2x + 4y = 8, is 4, which occurs when x = 4 - 2y.

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Answer:

70%

Step-by-step explanation:

1000 - 300 = 700

700 / 1000 = 70%

Answer:

70 percent

Step-by-step explanation:

Im not 100 percent sure But this is what i got

The required system of equation is given as y = 3x + 12 and y=x³+4x²+3x+12.

The equation is the relationship between variables and represented as y = ax + b is an example of a polynomial equation.

Given equation,
y=x³+4x²+3x+12

To determine the x-intercept put equation y = 0

0 = x³+4x²+3x+12

Factorize the above equation

0=(x²+3)(x+4)

One of the factors from above is given as

x+4=0  

x = -4

The x-intercept is (-4,0)

For the y-intercepts, x=0 and solve.

y = 12

y = 12

The y-intercept is (0,12)

Now equation of the line passing these points is given as.

m = (y₂ - y₁) /  (x₂ - x₁)
m = 12/3
m = 3

C, we already have C=12

So the equation of the line is
y = mx + c
y=3x+12

Thus, the required system of equation is given as y = 3x + 12 and y=x³+4x²+3x+12.

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Probability = number of favorable outcomes/number of total outcomes

In this scenario, we are concerned with the dart landing on the square. Thus,

number of favorable outcome = area of square

number of total outcome = area of circle

Area of square = s^2

where

s is the length of each side

Area of circle = πr^2

where

r is the radius of the circle

From the information given,

s = 6

r = 8

π = 3.14

Area of square = 6^2 = 36

Area of circle = 3.14 x 8^2 = 200.96

the probability that the dart lands in the shaded square region = 36/200.96

the probability that the dart lands in the shaded square region = 0.18

It is important to carefully select the survey population and explain why the survey is necessary. It is also important to limit the number of questions and ask them in a clear and concise manner.

Select the survey population carefully: This means selecting a group of people who are representative of the target population and have the relevant knowledge or experience to answer the survey questions. For example, if the survey is about customer satisfaction with a product, the survey population should be customers who have used the product.

Limit the number of questions: It's important to keep the survey short and focused to reduce the risk of respondent fatigue and increase the response rate. A shorter survey also makes it easier to analyze the data.

Explain why the survey is necessary: This helps to increase the response rate by providing a clear explanation of why the survey is being conducted, what the data will be used for, and how it will benefit the target population.

Select the survey population randomly: Random selection helps to ensure that the survey results are representative of the target population and minimize the risk of bias in the sample.

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what tips can you share with the group? check all that apply.

Answer:

3x

Step-by-step explanation:

Combine Like Terms:

=3x+5x+−5x

=(3x+5x+−5x)

=3x

Hope it helps :)

Answer:

=3x

Step-by-step explanation:

cancel out 5x-5x, which leaves you with 3x.

i hope this helps :)

Answer:

$0.02

Step-by-step explanation:

This is the correct way to do 2 cents. Since two is not in the tenths place, and is not yet a dollar, the correct answer is $0.02.

Hope this helps! :D

The representation of 2 cents in dollar sign will be $0.02.

To convert any unit into another is called a unit conversion.

In order to convert units, we need to care about their dimensions their dimension should not be changed.

It is known that,

$1 = 100 cents

Divide both sides by 100

$1/100 = 1 cents

Multiply by 2 on both sides,

$(1/100)2 = 2 cents

$0.02 = 2 cents

Hence "The representation of 2 cents in dollar sign will be $0.02".

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The statement "System analysts define an object's attributes during the systems design process" is true because  defining object attributes is an essential part of the systems design process to ensure that the system meets the desired functional requirements.

In systems design, objects are used to represent real-world entities that are relevant to the system being developed. These objects have attributes that describe their characteristics or properties, which are used to identify and manipulate them within the system. System analysts define these attributes during the systems design process to ensure that the system meets the desired functional requirements.

For example, in a library system, a book object may have attributes such as title, author, publisher, and ISBN. Defining these attributes helps ensure that the system can properly manage and retrieve books as needed. Object-oriented design is a popular approach to systems design that relies heavily on defining objects and their attributes.

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Answer:

The equivalent to -(-5.25) = 5.25

Step-by-step explanation:

Given

\(-(-5.25)\)

We need to determine the equivalent to -(-5.25)

some of the sign rules are:

+(+) = +      

−(−) = +

+(−) = -

−(+) = -

Thus,

\(-(-5.25)\)

Applying the rule: -a(-a) = a

\(=5.25\)

Therefore, the equivalent to -(-5.25) = 5.25

Answer:

5.25

Step-by-step explanation:

Step-by-step explanation:

x is the hypotenuse of the triangle.

to find x:

the sum of the square of the other two sides. ( a^2 + b^2 = x^2)

\( {x}^{2} = {21}^{2} + {20}^{2} \\ {x}^{2} = 841 \\ \sqrt{ {x}^{2} } = \sqrt{841} \\ x = 29 \: yd\)

A new car can be ordered in 448 different ways.

To determine the number of different ways a new car can be ordered in terms of these options, we need to multiply the number of choices for each option together.

There are 7 possible colors, 2 choices for air conditioning (with or without), 2 choices for heated seats, 2 choices for anti-lock brakes, 2 choices for power windows, and 2 choices for a CD player.

By applying the Fundamental Counting Principle, we multiply these numbers together:

7 colors × 2 air conditioning choices × 2 heated seats choices × 2 anti-lock brakes choices × 2 power windows choices × 2 CD player choices

7 × 2 × 2 × 2 × 2 × 2

= 448

Therefore, a new car can be ordered in 448 different ways in terms of these options.

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Answer:

Triangles are not similar.

Step-by-step explanation:

Properties of the similarity of two triangles,

1). Corresponding angles of two triangles are equal in measure.

2). Corresponding sides of the similar triangles are proportional.

From the given triangles,

- Corresponding angles of the given triangles are not equal in measure.

- Ratios of the corresponding sides,

 \(\frac{KM}{XY}=\frac{CM}{RY}= \frac{KC}{XR}\)

\(\frac{53}{53}= \frac{54}{53}= \frac{64}{53}\)

But these ratios are not equal.

Therefore, both the triangles are not similar.