An art collector bought 20 paintings at an art fair, and wants to know the average price of the paintings she purchased at the fair. She adds the prices of all the paintings and divides this number by 20 to find an average price of $350. Is this price

a sample mean or a population mean, and which symbol would be used to denote it

Answer:

65 degrees

Step-by-step explanation:

Correspnding angles postulate

Answer:

x2=45/50

Step-by-step explanation:

z=71. the box of 15 is 75

Answer

go over 4 on the x axis, go down 12 on the y axis

Answer:

x=-5

Step-by-step explanation:

\(\dfrac{2x-20}{3}=2x\)

Multiply both sides by 3:

\(2x-20=6x\)

Subtract 2x from both sides:

\(-20=4x\)

Divide both sides by 4:

\(x=-5\)

Hope this helps!

Answer:

2x_20/3 = 2x

2x_20/3*3 = 2x*3

2x_20 = 6x

2x_6x = 20

-4x = 20

-4x/-4x = 20/-4x

X= -5

The answer is B.

Answer:

1000 hours

Step-by-step explanation:

∫xf(x)dx = ∫x*xdx (1,0) + ∫x*(8-x)dx (2,1)

∫xf(x)dx = ∫x²dx (1,0) + ∫8x - x²dx (2,1)

∫xf(x)dx = ∫x²dx (1,0) + ∫8xdx (2,1) - ∫x²dx (2,1)

∫xf(x)dx = x³/3(1,0) + 8x²/2 (2,1) - x³/3(2,1)

∫xf(x)dx = 1/3 + 8(4/2 - 1/2) - (8/3 - 1/3)

∫xf(x)dx = 1/3 + 8(2-0.5) - (7/3)

∫xf(x)dx = 1/3 + 8(1.5) - 7/3

∫xf(x)dx = 1/3 + 12 - 7/3

∫xf(x)dx = - 6/3 + 12

∫xf(x)dx = - 2 + 12

∫xf(x)dx = 10

The average number of hours the family runs their vacuum cleaner in units of 100 hours

100 * 10 hours = 1000 hours

Answer:

9⁻⁶

Step-by-step explanation:

When you're dividing, you subtract the exponents. So, 3-9=-6.

The expression 9³ / 9⁹ can be written as 9⁻⁶.

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

The given expression is 9³ / 9⁹. The expression can be solved as below:-

E = 9³ / 9⁹

E =  9³ x 9⁻⁹

E = 9³⁻⁹

E = 9⁻⁶

Therefore, the expression 9³ / 9⁹ can be written as 9⁻⁶.

To know more about an expression follow

https://brainly.com/question/8844911

#SPJ2

The negative correlation coefficient of -0.73 between consumption of vitamin A and the cancer rate of a particular type of cancer suggests that as vitamin A consumption increases, the cancer rate tends to decrease.

A correlation coefficient measures the strength and direction of the linear relationship between two variables.

In this case, a correlation coefficient of -0.73 indicates a negative correlation between consumption of vitamin A and the cancer rate.

Interpreting this correlation, it can be inferred that there is an inverse relationship between the two variables. As consumption of vitamin A increases, the cancer rate tends to decrease.

However, it is important to note that correlation does not imply causation.

It would be incorrect to conclude that consuming more vitamin A causes this type of cancer. Correlation does not provide information about the direction of causality.

Other factors and confounding variables may be involved in the relationship between vitamin A consumption and cancer rate.

To establish a causal relationship, further research, such as experimental studies or controlled trials, would be necessary. These types of studies can help determine whether there is a causal link between vitamin A consumption and the occurrence of this particular cancer.

Learn more about correlation coefficient here:

https://brainly.com/question/29208602

#SPJ11

The values of linear transformation are T(1) = 1, T(x) = x, T(x^2) = x^2, T(ax^2 + bx + c) = ax^2 + bx + c.

To find the values of T(1), T(x), T(x^2), and T(ax^2 + bx + c), let's first express each of these polynomials in the standard basis of P3, which is {1, x, x^2}.

1 can be expressed as 1(1) + 0(x) + 0(x^2).

So, T(1) = T(1(1) + 0(x) + 0(x^2)) = 1T(1) + 0T(x) + 0T(x^2) = 1.

x can be expressed as 0(1) + 1(x) + 0(x^2).

So, T(x) = T(0(1) + 1(x) + 0(x^2)) = 0T(1) + 1T(x) + 0T(x^2) = T(x).

x^2 can be expressed as 0(1) + 0(x) + 1(x^2).

So, T(x^2) = T(0(1) + 0(x) + 1(x^2)) = 0T(1) + 0T(x) + 1T(x^2) = T(x^2).

Now, let's consider the polynomial ax^2 + bx + c.

We can express it as a(x^2) + b(x) + c(1).

So, T(ax^2 + bx + c) = T(a(x^2) + b(x) + c(1)) = aT(x^2) + bT(x) + cT(1) = aT(x^2) + bT(x) + c.

Therefore, we have:

T(1) = 1,

T(x) = x,

T(x^2) = x^2,

T(ax^2 + bx + c) = aT(x^2) + bT(x) + c = ax^2 + bx + c.

To know more about Linear Transformations refer-

https://brainly.com/question/30822858#

#SPJ11

Answer:

m = 3/2

Step-by-step explanation:

The conclusion that is correct in a two-tailed test at α = .05 is There appears to be no difference in the mean occupancy rates.

From the given values:

Thus, the P-value = 0.1791

Interpret results. Since the P-value (0.1791) is greater than the significance level (0.05), we failed to reject the null hypothesis.

From the above test, we do not have sufficient evidence in favor of the claim that there is a difference in the mean occupancy rates.

Thus, option A is correct.

Read more about two-tailed test here:

https://brainly.com/question/4621112

#SPJ1

Answer:

17) m = 35; n = 110

18) b = 90; c = 80; d = 100

Step-by-step explanation:

17)

2m = 70

m = 35

n + 70 + 70 + n = 360

2n + 140 = 360

2n = 220

n = 110

18)

b - 10 + b + 10 = 180

2b = 180

b = 90

b - 10 = c

90 - 10 = c

c = 80

b + 10 = d

90 + 10 = d

d = 100

Answer:

(8.5, -4)

Step-by-step explanation:

The midpoint formula:  

The midpoint (x, y) = (the sum of the x-values/2,  the sum of the y-values/2

The midpoint  x, y) = (7 + 10)/2  , (-9 + 1)/2

The midpoint is (17/2, -8/2)  = (8.5, -4)

Answer:

(8.5, -4)

Step-by-step explanation:

(7+10)/2 = 8.5

(-9+1)/2 = -4

The statement is false. Dietary fat, oils, fat-soluble vitamins, phospholipids, and cholesterol are not absorbed directly into the blood like amino acids and monosaccharides. Instead, they are absorbed into the lacteals of the lymphatic system.

When we consume dietary fat, it undergoes a different absorption process compared to amino acids and monosaccharides. The majority of fat digestion and absorption occurs in the small intestine. The small intestine contains specialized structures called villi, which are covered in tiny projections called microvilli. These structures greatly increase the surface area available for absorption.

During fat digestion, bile acids emulsify the dietary fat into smaller droplets, facilitating the action of pancreatic lipase, an enzyme that breaks down the fat molecules. Once broken down, the resulting fatty acids approach to combine with bile salts to form structures called micelles.

Learn more about approach here:

https://brainly.com/question/30967234

#SPJ11

The function f(x) = 4x² - 8x + 2 can be written in vertex form as f(x) = 4(x - 1)² - 2.

To convert the given function into vertex form, we need to complete the square. The vertex form of a quadratic function is given by f(x) = a(x - h)² + k, where (h, k) represents the coordinates of the vertex.

Step 1: Group the first two terms and factor out the coefficient of x²:

f(x) = 4(x² - 2x) + 2.

Step 2: Complete the square by adding and subtracting the square of half the coefficient of x:

f(x) = 4(x² - 2x + 1 - 1) + 2.

Step 3: Factor the perfect square trinomial and simplify:

f(x) = 4((x - 1)² - 1) + 2.

Step 4: Distribute and combine like terms:

f(x) = 4(x - 1)² - 4 + 2.

Step 5: Simplify:

f(x) = 4(x - 1)² - 2.

Therefore, the given function f(x) = 4x² - 8x + 2 can be written in vertex form as f(x) = 4(x - 1)² - 2.

LEARN MORE ABOUT vertex here: brainly.com/question/29030495

#SPJ11

The value of g(-6) is 42

A linear function is a function that represents a straight line on the coordinate plane. For example, y = 3x - 2 represents a straight line on a coordinate plane and hence it represents a linear function. Since y can be replaced with f(x), this function can be written as f(x) = 3x - 2.

For example if f(x) = 3x-2, the value of f(3) is derived by substituting 3 for x In the function. Therefore f(x) = 3(3) -2 = 9-2 = 7

Similarly to solve g(-6) we substitute -6 for x in the function

g(-6) = -6² -(-6)

g(-6) = 36 + 6

g(-6) = 42

therefore the value of g(-6) = 42

learn more about linear function from

https://brainly.com/question/15602982

#SPJ1

The x-intercepts of a quadratic function are the points where the function graph intersects the x-axis. To find the x-intercepts of the given quadratic function, we need to determine the values of x when the y-value (or the function value) is equal to 0.

From the given information, we can see that the quadratic function passes through the points (-2, 0) and (1, 0), which indicates that the function intersects the x-axis at x = -2 and x = 1. Therefore, the quadratic function x-intercepts are (-2, 0) and (1, 0).

The correct answers are (d) (-2, 0) and (1, 0).

lowest control limit (LCL^{R} ) for R chart is equal to 0.068 inches

and 0.068 is less than 1 .So the correct answer is( A) less than or equal  to 1 .

What is  lowest control limit?

The lower control limit on a control chart is a line that runs parallel to the centerline and denotes the value below which any particular data point would be deemed to be outside statistical control due to special cause variation.

Total sample = 25

sample size =  8 observation

mean length of the zippers = 15 inches

average range = 0.5 inches

D3 for R chart = 0.136

Formula =  \(LCL^{R}\) = D₃ R

        Put the values

              R = 0.5 Inches

             D₃ = 0.136

LCL^{R} =  D₃ R

            = 0.136 * 0.5 = 0.068  inches

Thus lowest control limit (LCL^{R} ) for R chart is equal to 0.068 inches

and 0.068 is less than 1 .

Learn more about lowest control limit

brainly.com/question/15298022

#SPJ4

the answer is 8

8j-5+j=67

8J +j

9J-5=67

    +5  +5

9J=72

  /9    /9

j=8

\(\qquad \qquad \huge \pink {\sf{☁Answer☁}} \\ \\ \)

\( \large \purple{ \rm{Let's \: solve→}}\)

\( \rm{8j - 5 + j = 67} \\ \\ \rm{arranging \: like \: terms} \\ \\ \rm{8j + j = 67 + 5} \\ \\ \rm{9j = 72} \\ \\ \rm{j = \frac{72}{9} } \\ \\ \rm{j = \cancel\frac{72}{9} } \\ \\ \rm{j = 8}\)

\(\rule{70mm}{2.2pt}\)\(\sf{\:мѕнαcкεя\: ♪...}\)

Answer:

\(Question \: 1: \: let \: the \: question \: mark \: be \: n \\ n = 63 \\

Question \: 2: \: the \: error \: the \: student \: made \: is \: \\ 4x + 40 = 6x - 10 \: insteade \: of : \\ 4x + 40 + 6x - 10 = 180. \\

Question \: 3: \: x = 15 \\

Question \: 4: m( GFC)

= 80. \\ \)

Step-by-step explanation:

\(let \: the \: unknown \: be \: n \\ then \\ 87 + n = 150 \\ n \: = 150 - 87 = 63. \\ the \: mistake \: is \: by \: the \: expression : \\ 4x + 40 = 6x - 10 \: insteade \: of : \\ 4x + 40 + 6x - 10 = 180. \\ 10x = 150 \\ x = 15. \\ 6x - 10 = 6 \times 15 - 10 \\ GFC

= 80. \\ \)

Answer:

Step-by-step explanation:

Given the following explicit formula, we are to calculate the first four (4) terms of the sequence.

1)  f(n) = 9+8n

When n = 1

f(1) = 9+8(1)

f(1) = 17

when n = 2

f(2) = 9+8(2)

= 9+16

= 25

When n = 3

f(3) = 9+8(3)

f(3) = 33

when n = 4

f(4) = 9+8(4)

= 41

= 25

The first four terms are 17, 25, 33 and 41

2) f(n) = 8(n+1)-13

When n = 1

f(1) = 8(2)-13

f(1) = 3

when n = 2

f(2) =  8(3)-13

= 24-13

= 11

When n = 3

f(3) =  8(4)-13

f(3) = 32-13

= 19

when n = 4

f(4) =  8(5)-13

= 40-13

= 27

The first four terms are 3, 11, 19 and 27

3) f(n) = 65-9n

When n = 1

f(1) = 65-9(1)

f(1) = 56

when n = 2

f(2) = 65-9(2)

= 65-18

= 47

When n = 3

f(3) = 65-9(3)

f(3) = 65-27

= 38

when n = 4

f(4) = 65-9(4)

= 65-36

= 29

The first four terms are 56, 47, 38 and 29

To evaluate the given integral using Green's theorem, we need to express it in the flux form.  The result of the integral is -r/6.

Green's theorem states that for a region R bounded by a simple closed curve C, the flux of the vector field F = (P, Q) across C is equal to the double integral of the curl of F over R.

In this case, we have the vector field F = (r^2xy, 1/2y^3), where r is the position vector (x, y).

The flux form of Green's theorem is:

\(∫∫R (curl F) · dA = ∫∫R (∂Q/∂x - ∂P/∂y) dA\)

Let's calculate the curl of F:

∂Q/∂x = 0

∂P/∂y = 2rxy

So, the curl of F is given by\((∂Q/∂x - ∂P/∂y) = 0 - 2rxy = -2rxy.\)

Now, let's evaluate the integral using the flux form of Green's theorem:

∫∫R (-2rxy) dA

Since the region R is a triangle with vertices (0,0), (1,0), and (0,1), we can express it as:

\(R = {(x, y) | 0 ≤ x ≤ 1, 0 ≤ y ≤ 1 - x}\)

Now, we can rewrite the integral:

\(∫₀^(1-x) (-2rxy) dy = -2rxy²/2 ∣₀^(1-x) = -rxy² ∣₀^(1-x) = -r(x-x²)\)

Let's evaluate the inner integral first:

\(∫₀^(1-x) (-2rxy) dy = -2rxy²/2 ∣₀^(1-x) = -rxy² ∣₀^(1-x) = -r(x-x²)\)

Now, evaluate the outer integral:

\(∫₀¹ -r(x-x²) dx = -r(x²/2 - x³/3) ∣₀¹ = -r(1/2 - 1/3) = -r(3/6 - 2/6) = -r(1/6) = -r/6\)

Therefore, the result of the integral is -r/6.

Learn more about Green's theorem

https://brainly.com/question/27549150

#SPJ11

Answer:

2,700in

Step-by-step explanation:

Answer:

y = (5/2)x + 4

Step-by-step explanation:

We'll look for an equation in the format y = mx + b, where mn is the slope and b the y-intercept (the value of y when x = 0).

y = mx + b

m is (5/2)

y = (5/2)x + b

We need a value of b that will force the line through point (-2,-1).  Enter the point (-2,-1) in the equation and solve for b:

y = (5/2)x + b

-1 = (5/2)(-2) + b

-1 = -5 + b

b = 4

The equation is y = (5/2)x + 4

See attached image.

Answer:

∠m = ∠n + ∠p.

Step-by-step explanation:

The exterior angle of a triangle is always equal to the sum of the two other angles inside a triangle. We can prove this:

Let the third angle in the triangle be ∠q. Therefore:

180 - ∠m = ∠q. (Supplementary angles)

However:

180 - ∠n - ∠p = ∠q. (Sum of interior angles of a triangle)

This means that ∠m and ∠n + ∠q are equal. We can write this as a relationship:

∠m = ∠n + ∠p.

The weight average of the coordinates is 5

The given parameters are:

The weight average is then calculated as:

Weight average = Sum of (Weight * Coordinate)/Sum of Weights

So, we have:

Weight average = (-1 * 1 + 4 * 2 + 9 * 2)/(1 + 2 + 2)

Evaluate the quotient

Weight average = 5

Hence, the weight average of the coordinates is 5

Read more about average at

brainly.com/question/20118982

#SPJ1

Answer:

-173.25

Step-by-step explanation:

First you solve the values in the parenthesis or the "brackets"

you get:

-7.5-4.5+15(-10.75)

multiply

15 x -10.75

=-161.25

-7.5-4.5-161.25

=173.25

Hope that helps! pls mark as brainliest

Answer: -173.25

Step-by-step explanation:

Remember to follow the rules of Parentheses Exponent Multiplication Division Addition Subtraction (PEMDAS).

Answer:

(68/4) multiply by 3601

Step-by-step explanation: