Thirty-six percent of adult Internet users have purchased products or services online. For a random sample of 200 adult Internet users, find the mean, variance, and standard deviation for the number who have purchased goods or services online. Round your answer to one decimal place.

Answer:

113.1 in

Step-by-step explanation:

C = πd

d = 36

C = 36π = 113.1 in

Answer:

I pretty sure it's 45 degrees from the information that you gave me.

Step-by-step explanation: The total is a circle and you have 8 little triangles. You divide 360 (what a circle is) by 8 (number of triangles). The quotient will be 45 degrees. That's the answer 45 degrees.

For the matrix the true statement is given by option d. Both A and B are false.

Let's analyze each statement of the matrix as follow,

A) If A is a 3 times 5 matrix and T is a transformation defined by T(x) = Ax, then the domain of T is R⁵.

This statement is false.

The domain of the transformation T is not R⁵.

The domain of T is determined by the dimensionality of the vectors x that can be input into the transformation.

Here, the matrix A is a 3 times 5 matrix, which means the transformation T(x) = Ax can only accept vectors x that have 5 elements.

Therefore, the domain of T is R⁵, but rather a subspace of R⁵.

B) If A is a 3 times 2 matrix, then the transformation x right arrow Ax cannot be onto.

This statement is also false.

The transformation x → Ax can still be onto (surjective) even if A is a 3 times 2 matrix.

The surjectivity of a transformation depends on the rank of the matrix A and the dimensionality of the vector space it maps to.

It is possible for a 3 times 2 matrix to have a rank of 2,

and if the codomain is a vector space of dimension 3 or higher, then the transformation can be onto.

Therefore, as per the matrix both statements are false, the correct answer is d. Both A and B are false.

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The above question is incomplete, the complete question is:

Which of the following best characterizes the following statements:

A) If A is a 3 times 5 matrix and T is a transformation defined by T(x) = Ax, then the domain of T is R^5

B) If A is a 3 times 2 matrix, then the transformation x right arrow Ax cannot be onto

a. Only A is true

b. Only B is true

c. Both A and B are true

d. Both A and B are false

Answer:

12

Step-by-step explanation:

The equation

2x(50) = 24

x(50) = 12

Answer:

y = 12

Step-by-step explanation:

36 - 24 = 12.

24 calories were burned in 100 minutes. 36 calories were burned in 150 minutes. That means that in 50 minutes (150 - 100) 12 calories were burned.

1/5 is the slope and we can use (-4,0) as a starting point.

The transformations applied are: reflection about the x-axis, horizontal shift 10 units to the right, and vertical shift 400 units up.

A parabola is a symmetrical, U-shaped curve that can be formed by intersecting a plane with a cone. It is defined by the quadratic equation \(y = ax^2 + bx + c.\)

Solution:

To identify the transformations that have been applied to the graph of \(f(x) = x^2\)to produce the graph of \(g(x) = -5x^2 + 100x - 450\) we can start by looking at the standard form equation for a parabola:

\(y = a(x - h)^2 + k\)

where (h, k) is the vertex of the parabola and "a" determines the shape and direction of the parabola.

For\(f(x) = x^2\), we have a = 1, h = 0, and k = 0, so the vertex is at (0, 0).

For \(g(x) = -5x^2 + 100x - 450\), we can rewrite it as:

\(g(x) = -5(x^2 - 20x + 90)\)

Completing the square inside the parentheses, we get:

\(g(x) = -5(x - 10)^2 + 400\)

So the vertex of the parabola is (10, 400), and the "a" value is -5, which means the parabola is upside-down compared to\(f(x) = x^2.\)

Therefore, the transformations that have been applied to f(x) to obtain g(x) are:

1. The graph is reflected vertically (flipped upside-down) due to the negative "a" value.

2. The graph is shifted 10 units to the right and 400 units up, which corresponds to a horizontal translation of 10 units and a vertical translation of 400 units.

In summary, the transformations applied are: reflection about the x-axis, horizontal shift 10 units to the right, and vertical shift 400 units up.

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x represents the cost of each bottle of juice. Given that he bought a pack containing 6 bottles of juice, the cost of the 6 pack juice bottles would be $6x

Given that the total cost of a bag of popcorn which costs $2.11 and a 6-pack of juice bottles is $11.41, it means that

2.11 + 6x = 11.41

6x = 11.41 - 2.11

6x = 9.3

x = 9.3/6

x = 1.55

The cost of each bottle of juice is $1.55

Answer:

(0, 50)

Step-by-step explanation:

The equation of a line is in the form of the y-intercept form

\(y = mx + b\)

where m is the slope and B is the y intercept. So in our case

\(y = 50 + 5x\)

if we use the commutative property we can rewrite our equation as

\(y = 5x + 50\)

therefore b = 50 is our why intercept

The distance between the point (-6, -3) and the line defined by r = (2, 3) + s(7, -1), s ∈ ℝ, is equal to √18.(option a)

To find the distance, we can use the formula for the distance between a point and a line in two-dimensional space. The formula states that the distance (d) between a point (x₀, y₀) and a line Ax + By + C = 0 is given by the formula:

\(d = |Ax_0 + By_0 + C| / \sqrt{A^2 + B^2}\)

In this case, the line is defined parametrically as r = (2, 3) + s(7, -1), s ∈ ℝ. We can rewrite this as the Cartesian equation:

7s - x + 2 = 0

-s + y - 3 = 0

Comparing this to the general equation Ax + By + C = 0, we have A = -1, B = 1, and C = -2.

Substituting the values into the distance formula, we get:

d = |-1(-6) + 1(-3) - 2| / √((-1)² + 1²)

= |6 - 3 - 2| / √(1 + 1)

= |1| / √2

= √1/2

= √(2/2)

= √1

= 1

Therefore, the distance between the point (-6, -3) and the line is √18. Thus, the correct answer is option a) √18.

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lol i’m using this app to check my work

Answer: 16 days.

Step-by-step explanation:

I will answer this in English.

An aritmetic series works in the next way.

if the first therm is A.

Then the second therm is A + r

the third therm is A + r + r

and so on.

Where A is the initial value and r is a constant.

Here the first term is A = 1

The second term is 3, we can find the value of r as:

3 - 1 = r = 2

Then our series is:

Kₙ₊₁ = Kₙ + 2

where K₁ = 1

We know that in total he bought 225 figures, then we have the sumation:

∑Kₙ

and we want to find the value of n.

the sum of the first n terms is:

Sn = (n/2)*(K₁ + Kₙ)

where Kₙ = 1 + n*2 and K₁ = 1

so we must solve:

225 = (n/2)*(1 + 1 + n*2) = n + n^2

So we must solve the quadratic equation:

n^2 + n - 225 = 0

the solutions are:

\(n = \frac{-1 + -\sqrt{1^2 + 4*225} }{2} = \frac{-1 +-30}{2}\)

So we have two solutions:

n = 29/3 = 14-.5

n = -31/2 = -15.5

We must select the positive solution, because n can be only positive, and we should round it to the next whole number, that is 16.

So he bought figures for 16 days.

Answer:

3.  SA =  876 \(in^{2}\)

4.  SA =  161 \(ft^{2}\)

Step-by-step explanation:

       Number 3.

To find the total Surface Area, we need to know all the side lengths which are used to multiply to find the Area of each side. Then add the areas of all the sides to get the total SA.

       To find side lengths:

Assuming the back triangle (24, 10 in) is congruent to the front triangle (26in.): First, Knowing the Pythagorean triples or the Pythagorean theorem, we can conclude that the short bottom leg in the triangle on the right (6, 10, x in) is     8 in.                                                                                                               Secondly, to find the leg of the triangle with a hypotenuse of 24 inches, we subtract: 26 - 8 = 18 in.

Now we know all the (needed) side lengths.

       To find the Surface Area:

Total SA  =  (12 x 26) + (12 x 24) + (12 x 10) + 2 x ((6 x 18 x 0.5) + (6 x 8 x 0.5))

               =  312 + 288 + 120 + 2 x (54 + 24)  =  720 + (2 x 78)

               =  876 \(in^{2}\)

       Number 4.

Same Idea: To find the Total SA, we need to know all the side lengths which are used to multiply to find the Area of each side. Then add the areas of all the sides to get the total SA.

Assuming the back triangle (7ft) is congruent to the front triangle (5x5 ft), then in this case, we already know all the needed side lengths.

       To find the Surface Area:

Total SA  =  2 x (8 x 5) + 2 x (5 x 5 x 0.5) + (7 x 8)

               =  80 + 25 + 56

               =  161 \(ft^{2}\)

Answer 450 is the write answer.

5

5 + 5 = 10

10 + 5 = 15

Answer:

Step-by-step explanation:

x+x+x=15

Combine Like Terms:

3x=15

Divide by 3 to isolate x:

x=5

Therefore, it will take approximately 1415.7 weeks for all of the chemical to evaporate.

To calculate the volume of a cone, we can use the formula:

\(Volume = (1/3) * π * r^2 * h\)

Given that the height (h) of the cone is 240 inches and the radius (r) is 150 inches, we can substitute these values into the formula:

\(Volume = (1/3) * 3.14 * 150^2 * 240\)

Simplifying the equation:

Volume = 3.14 * 22500 * 240

Volume ≈ 16988400 cubic inches

Now, we know that the liquid chemical evaporates at a rate of 12,000 cubic inches per week. To find out how many weeks it will take for all the chemical to evaporate, we can divide the total volume of the chemical by the evaporation rate:

Number of weeks = Volume / Evaporation rate

Number of weeks = 16988400 / 12000

Number of weeks ≈ 1415.7 weeks

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Answer:

the answer of this question is 1/2

Answer:

can u add more info plz

Step-by-step explanation:

Answer:

The absolute value of a number is how far that number is from 0.

|-9| = 9

This is true because the absolute value of 9 is 9 spaces away from 0.

Answer:

6.2

Step-by-step explanation:

2+5*x=33

5*x=33-2

5*x=31

X=31/5

X=6.2

The number of colored pencils calculated in the first column is; 21

The number of colored markers marked in the second column is; 8

We are told that each box has a colored pencil to marker ratio of 7 to 2.

Thus, in the first column, we see that we have 6 colored markers. Thus;

Number of colored pencils = (6 * 7)/2 = 21 colored pencils

In the second column, we see that there are 28 colored pencils. Thus;

Number of colored markers = (28 * 2)/7 = 8

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Answer:

18m

Step-by-step explanation:

Perimeter = 2L + 2W

Perimeter = 2(5) + 2(4)

= 10 + 8

= 18 m

Answer:

18 meters

Step-by-step explanation:

5+5=10

4+4=8

10+8=18

Answer:

\(\sqrt{22}\)

Step-by-step explanation:

\(\frac{(5-\sqrt{3})(5+\sqrt{3})}{\sqrt{22}} \\ \\ =\frac{5^2-3}{\sqrt{22}} \\ \\ =\frac{22}{\sqrt{22}} \\ \\ =\sqrt{22}\)

The Solution of the Expression is √22

Expressions in math are mathematical statements containing numbers or variables, or both, connected by an operator in between. The mathematical operators can be of addition, subtraction, multiplication, or division.

Given,

Let the given expression x

\(x = \frac{(5 + \sqrt{3})(5 - \sqrt{3} )}{\sqrt{22} }\)

Simplifying the expression,

\(x = \frac{(5)^{2} + (\sqrt{3})^{2}}{\sqrt{22} }\)

Multiplying the numerator ,

\(x = \frac{(5)^{2} - (\sqrt{3})^{2}}{\sqrt{22} }\)

Opening square brackets,

\(x = \frac{25 - 3}{\sqrt{22} }\)

\(x = \frac{22}{\sqrt{22} }\)

\(x = \frac{(\sqrt{22})^{2}}{\sqrt{22} }\)

Cancelling √22 from numerator and denominator

\(x = \sqrt{22}\)

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Type I error (also called a false positive) occurs when a null hypothesis is rejected when it is actually true. The probability of committing a Type I error is denoted by the symbol alpha (α), and is typically set at a certain level (e.g., 0.05 or 0.01) depending on the significance level desired for the hypothesis test.

Type II error (also called a false negative) occurs when a null hypothesis is not rejected when it is actually false. The probability of committing a Type II error is denoted by the symbol beta (β). The power of a statistical test is equal to 1 minus the probability of a Type II error (i.e., power = 1 - β).

Therefore, the statement that is true regarding the probability of Type I and Type II errors is that they are complementary to each other. That is, as the probability of a Type I error decreases (by setting a lower significance level), the probability of a Type II error generally increases (i.e., the power of the test decreases). Conversely, as the probability of a Type II error decreases (by increasing the sample size or effect size), the probability of a Type I error generally increases. It is important to strike a balance between controlling these two types of errors, depending on the specific goals and context of the research or hypothesis test.

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Answer:

11

Step-by-step explanation:

3x + 4y - 7z + 11

The constant term is the term that has no variables ( letters)

11 is the constant term

Answer:

\(\boxed{x^4 + x^2 + x}\)

Step-by-step explanation:

\(\frac{x^5 - x^4 + x^3 -x^2 + x - 1}{x - 1}\)

\(= \frac{(x - 1)(x^4 + x^2 + x)}{x - 1}\)

\(= x^4 + x^2 + x\)

.

Happy to help :)

Answer:

15 or 15.4!!!!!!!!!! I hope this helps

Answer:

15

Step-by-step explanation:

9.2 + 6.2 is 15.4

we are rounding to the nearest whole

15.4 goes to 15

Answer:

To find the number of courts with doubles matches, we need to determine the total number of players playing doubles. If each court with a doubles match has 4 players, then the total number of players playing doubles would be 4 times the number of courts playing doubles.

Since there are 28 players in total, and each court with a singles match has 2 players, the number of players playing singles would be 28 - 4x, where x is the number of courts playing doubles.

Since each court with a singles match has 2 players, the number of courts playing singles would be 28/2 = 14.

So, 28 - 4x = 14, and solving for x, we get x = 7.

Therefore, there are 7 courts with doubles matches and 14 courts with singles matches.

The answer to this problem is that the system is consistent if k is not equal to zero. The answer is (b) "The system is consistent when k ≠ 0".

Consider the augmented matrix in row echelon form (REF):1 2 3 12 0 4 5 150 0 0 kFor what value(s) of k is the corresponding linear system of equations consistent?The system is consistent when k = 0 is the answer. The following can be deduced from the augmented matrix in row echelon form (REF): 1 2 3 12 0 4 5 150 0 0 kThe coefficient matrix for the corresponding linear system of equations is:A = [ 1 2 3; 0 4 5; 0 0 k]The system is consistent for a coefficient matrix A if and only if the rank of the coefficient matrix A is equal to the rank of the augmented matrix. The rank of the augmented matrix is determined by the number of nonzero rows in the matrix.The augmented matrix contains two nonzero rows, so its rank is 2. Now let's look at the coefficient matrix A: A = [ 1 2 3; 0 4 5; 0 0 k] Since the first two rows are nonzero, the rank of the coefficient matrix is also 2. Therefore, the system is consistent if and only if the third row of the coefficient matrix A is also nonzero. That is, the system is consistent if and only if k is not equal to zero. Therefore, the answer to this problem is that the system is consistent if k is not equal to zero. The answer is (b) "The system is consistent when k ≠ 0".

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Hi :)

The way we'll simplify this is we'll combine the like terms, which are the d's and the constant terms:

8d-4-d-2

A great way is to write the d's together and the constant terms together:

8d-d-4-2

Now combine:

7d-6

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The monthly payment required to amortize a loan of $40,000 over 15 years, with an interest rate of 6% per year, and monthly compounding, is approximately $331.13.

To calculate the monthly payment, we can use the formula for the amortization of a loan, which is:

Monthly Payment = P * (r * (1 + r)^n) / ((1 + r)^n - 1),

where P is the principal amount (loan amount), r is the monthly interest rate, and n is the total number of payments.

Given:

Principal amount (P) = $40,000,

Annual interest rate = 6%,

Number of years (n) = 15.

First, we need to convert the annual interest rate to a monthly interest rate. Since interest is compounded monthly, the monthly interest rate (r) is calculated by dividing the annual interest rate by 12 and converting it to a decimal:

Monthly interest rate (r) = 6% / 12 / 100 = 0.005.

Next, we calculate the total number of payments (n) by multiplying the number of years by 12 (since there are 12 months in a year):

Total number of payments (n) = 15 years * 12 months/year = 180.

Now we can plug these values into the formula to calculate the monthly payment:

Monthly Payment = $40,000 * (0.005 * (1 + 0.005)^180) / ((1 + 0.005)^180 - 1).

Using a calculator or spreadsheet, we find that the monthly payment is approximately $331.13.

Therefore, the monthly payment required to amortize the loan of $40,000 over 15 years, with a 6% annual interest rate and monthly compounding, is approximately $331.13.

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What monthly payment is required to amortize a loan of $40,000 over 15 years if interest at the rate of 6%/year is charged on the unpaid balance and interest calculations are made at the end of each month?