The graph of the function h(x) is the result of reflecting the graph of f(x) over the x-axis and then translating 2 units up. Which equation defines h(x)?​

Answers

Answer 1

Therefore, the equation of the function h(x) is: h(x) = -f(x) + 2.

What is graph?

A graph is a visual representation of data that shows the relationship between two or more variables. It consists of two axes - the x-axis (horizontal) and the y-axis (vertical) - that intersect at a point called the origin. Each axis is divided into equally spaced intervals or units that represent the range of values for each variable. Data points are plotted on the graph by identifying their corresponding x and y values and locating them on the appropriate axes. The points are then connected by a line or curve that represents the pattern or trend in the data. Graphs are commonly used in various fields such as mathematics, science, economics, and business to help analyze and interpret data. Some common types of graphs include line graphs, bar graphs, scatter plots, pie charts, and histograms.

Here,

Let's assume the equation of the original function f(x) is y = f(x). To obtain the function h(x), we first reflect the graph of f(x) over the x-axis. This means that for any point (x, y) on the graph of f(x), the corresponding point on the graph of h(x) will be (x, -y).

Next, we translate the reflected graph of f(x) two units up. This means that for any point (x, -y) on the reflected graph, the corresponding point on the graph of h(x) will be (x, -y + 2).

Therefore, the equation of the function h(x) is:

h(x) = -f(x) + 2

This equation reflects the graph of f(x) over the x-axis (by negating f(x)) and then translates the reflected graph 2 units up (by adding 2).

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Complete question:

The graph of the function h(x) is the result of reflecting the graph of f(x) over the x-axis and then translating 2 units up. Which equation defines h(x)?​

The Graph Of The Function H(x) Is The Result Of Reflecting The Graph Of F(x) Over The X-axis And Then

Related Questions

The demand function for an exclusive wool blanket is given byp=D(x)=33-2√x dollars, where x is in thousands of blankets. Findthe level of production for which the demand is elastic

Answers

To maximize the company's profit, we need to find the profit function and then differentiate it with respect to the quantities produced by each plant to find the optimal values.

The profit function is given by:

π = TR - TC

where TR is the total revenue and TC is the total cost.

Using the demand function p = 40 - 0.04q, we can express the total revenue as:

TR = p * q = (40 - 0.04q) * q = 40q - 0.04q²

The total cost is the sum of the costs of each plant, so we have:

TC = C1 + C2 = 6.7 + 0.03q1² + 7.9 + 0.04q2² = 14.6 + 0.03q1² + 0.04q2²

Substituting these expressions into the profit function, we get:

π = 40q - 0.04q² - 14.6 - 0.03q1² - 0.04q2²

To find the optimal values of q1 and q2, we differentiate the profit function with respect to each quantity and set the derivatives equal to zero:

∂π/∂q1 = 40 - 0.06q1 - 0.04q2 = 0

∂π/∂q2 = 40 - 0.03q2 - 0.04q1 = 0

Solving these equations, we get:

q1 = 357.14

q2 = 285.71

So each plant should produce 357.14 and 285.71 units of the item, respectively, in order to maximize the company's profit.

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Help with problem in photo

Answers

Check the picture below.

[tex](x)(18)=(x+1)(16)\implies 18x=16x+16\implies 2x=16 \\\\\\ x=\cfrac{16}{2}\implies x=8=RW[/tex]

The figure shows the graphs of the functions y=f(x) and y=g(x). If g(x)=kf(x), what is the value of k? Enter your answer in the box given.

Answers

The value of k is -2

Let a line passes through the point [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]. Thus the equation of line can be given as,

[tex](y -y_1)=\frac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]......Eq.(1)

We have the information from the graph:

The graph of f(x) and g(x) are given in the problem.

The equation given is,

g(x) = k × f(x)

We have to find the value of k and also find the equation of f(x) and g(x).

The line y = f(x) lies on the points, (2,1) and (0,-3). Thus the equation of this line is,

Plug all the values in eq.(1)

[tex](y -(-3))=\frac{-3-1}{0-2}(x-0)[/tex]

[tex]y+3=\frac{-4}{-2}x[/tex]

y + 3 = 2x

y = 2x -3

So, it can be written as:

f(x) = 2x -3

The line y = f(x) lies on the points, (0,6) and (2,-2). Thus the equation of this line is,

[tex](y -6)=\frac{-2-6}{2-0}(x-0)[/tex]

[tex](y-6)=\frac{-8}{2}x[/tex]

(y- 6) = -4x

y = -4x + 6

It can be written as:

g(x) = -4x + 6

The equation given in the problem is:

g(x) = k × f(x)

Put all the values in above given equation:

-4x + 6 = k(2x - 3)

-2(2x - 3) = k × (2x - 3)

Compare the value of k :

k = -2

Hence, The value of k = -2

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A spinner is divided into 15 identical sectors and labeled 1 through 15.

how many spins are expected for a multiple of 4 to be spun 7 times?

select from the drop-down menu to correctly complete the sentence.
the spinner is expected to have to spin approximately times for a multiple of 4 to be spun 7 times.

Answers

Answer: 35

Step-by-step explanation: The other person is wrong

Hope this helped :)

Triangle Z Y X is shown with its exterior angles. Point Z extends to point L, point X extends to point N, and point Y extends to point M.
Analyze the diagram to complete the statements.

The m∠MXN is
the m∠YZX.

The m∠LZX is
the m∠ZYX + m∠YXZ.

The m∠MYL is
180° − m∠ZYX.

Answers

The completed statements, obtained from the relationship between the exterior angles of a triangle and supplementary angles are;

The m∠MXN is greater than m∠YZX

The m∠LZX is equal to m∠ZYX + m∠YXZ

The m∠MYL is equal to 180° - m∠ZYX

What are supplementary angles?

Supplementary angles are angles that form a linear pair and when added together are equivalent to 180°

The exterior angle of a triangle theorem indicates, that we get;

m∠MXN = m∠YZX + m∠ZYX

Therefore; m∠MXN > m∠YZXm∠LZX = m∠ZYX + m∠YXZ

∠MYL is a supplementary angle to the angle ∠ZYX

Therefore; m∠MYL + m∠ZYX = 180°

m∠MYL = 180° - m∠ZYX

The completed statements are therefore;

m∠MXN is greater than m∠YZX

m∠LZX equal to m∠ZYX + m∠YXZ

m∠MYL equal to 180° - m∠ZYX

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Robert got home from school at twenty-seven minutes to four in the afternoon. He decided to bake muffins as an after-school snack. The muffins were ready at two minutes to four in the afternoon. How long did it take to prepare and bake the muffins?

Answers

Assuming that the muffins were actually ready at two minutes to five in the afternoon, we can determine that it took Robert approximately 38 minutes to prepare and bake the muffins.

To arrive at this conclusion, we can use the following logic:

Robert got home from school at 3:33 PM (twenty-seven minutes before 4:00 PM).

The muffins were ready at 4:58 PM (two minutes before 5:00 PM).

Therefore, the time between when Robert got home and when the muffins were ready is 85 minutes (58 minutes + 27 minutes).

Since Robert decided to bake the muffins immediately upon arriving home, it took him 85 minutes to prepare and bake them.

Of course, this assumes that Robert did not take any breaks or perform other activities during the time between getting home and the muffins being ready. In reality, the actual time it took to prepare and bake the muffins may have been longer or shorter depending on various factors, such as the recipe, equipment used, and Robert's baking experience.

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A circle with center c(2, 4) has radius 13. a) verify that a(14,9) and b(7, 16) are points on this circle. b) if m is the midpoint of ab, show that cm is perpendicular to ab.

Answers

a) To verify that the points A(14, 9) and B(7, 16) are on the circle with center C(2, 4) and radius 13, we can use the distance formula:

Distance between point A and C:

d_AC = sqrt[(x_A - x_C)^2 + (y_A - y_C)^2]

    = sqrt[(14 - 2)^2 + (9 - 4)^2]

    = sqrt[144 + 25]

    = sqrt(169)

    = 13

Since the distance between point A and C is equal to the radius of the circle, point A is on the circle.

Distance between point B and C:

d_BC = sqrt[(x_B - x_C)^2 + (y_B - y_C)^2]

    = sqrt[(7 - 2)^2 + (16 - 4)^2]

    = sqrt[25 + 144]

    = sqrt(169)

    = 13

Since the distance between point B and C is equal to the radius of the circle, point B is also on the circle.

Therefore, points A and B are on the circle with center C(2, 4) and radius 13.

b) The midpoint of line segment AB can be found using the midpoint formula:

M = [(x_A + x_B)/2, (y_A + y_B)/2]

 = [(14 + 7)/2, (9 + 16)/2]

 = [10.5, 12.5]

The slope of line segment AB can be found using the slope formula:

m_AB = (y_B - y_A)/(x_B - x_A)

    = (16 - 9)/(7 - 14)

    = -7/-7

    = 1

The slope of a line perpendicular to AB will be the negative reciprocal of m_AB:

m_CM = -1/m_AB

    = -1/1

    = -1

The equation of the line passing through points C(2, 4) and M(10.5, 12.5) can be found using the point-slope form:

y - y_C = m_CM(x - x_C)

y - 4 = -1(x - 2)

y = -x + 6

The slope of line CM is -1, which is the negative reciprocal of the slope of line AB. Therefore, line CM is perpendicular to line AB.

Hence, we have shown that line segment CM is perpendicular to line segment AB.

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Question 10 9 pts Let f(c) = x3 +62? 15x + 3. (a) Compute the first derivative of f f'(x) = (c) On what interval is f increasing? interval of increasing = (d) On what interval is f decreasing? interval of decreasing = **Show work, in detail, on the scrap paper to receive full credit. (b) Compute the second derivative of / L'(x) = (e) On what interval is concave downward? interval of downward concavity = () On what interval is concave upward? interval of upward concavity = **Show work, in detail, on the scrap paper to receive full credit.

Answers

(a) The first derivative of f is f'(x) = 3x² - 15.

(b) The second derivative of f is f''(x) = 6x.

(c) f is increasing on the interval (-∞, √5) and decreasing on the interval (√5, ∞).

(d) f is decreasing on the interval (-∞, √5) and increasing on the interval (√5, ∞).

(e) f is concave downward on the interval (-∞, 0) and concave upward on the interval (0, ∞).

(a) To find the first derivative of f, we differentiate each term of the function with respect to x using the power rule. Thus, f'(x) = 3x² - 15.

(b) To find the second derivative of f, we differentiate f'(x) with respect to x. Thus, f''(x) = 6x.

(c) To determine the intervals where f is increasing, we set f'(x) > 0 and solve for x. Thus, 3x² - 15 > 0, which simplifies to x² > 5. Therefore, x is in the interval (-∞, √5) or (√5, ∞). To determine which interval makes f increasing, we can test a point within each interval.

For example, when x = 0, f'(0) = -15, which is negative, so f is decreasing on (-∞, √5). When x = 10, f'(10) = 285, which is positive, so f is increasing on (√5, ∞). Thus, f is increasing on the interval (√5, ∞) and decreasing on the interval (-∞, √5).

(d) To determine the intervals where f is decreasing, we set f'(x) < 0 and solve for x. Thus, 3x² - 15 < 0, which simplifies to x² < 5. Therefore, x is in the interval (-∞, √5) or (√5, ∞). Again, we can test a point within each interval to determine which one makes f decreasing.

For example, when x = 0, f'(0) = -15, which is negative, so f is decreasing on (-∞, √5). When x = 10, f'(10) = 285, which is positive, so f is increasing on (√5, ∞). Thus, f is decreasing on the interval (-∞, √5) and increasing on the interval (√5, ∞).

(e) To determine the intervals of concavity, we examine the sign of the second derivative of f. If f''(x) > 0, then f is concave upward, and if f''(x) < 0, then f is concave downward. If f''(x) = 0, then the concavity changes. Thus, we set f''(x) > 0 and f''(x) < 0 and solve for x. We get f''(x) > 0 when x > 0 and f''(x) < 0 when x < 0.

Therefore, f is concave upward on (0, ∞) and concave downward on (-∞, 0).

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Question 2 of 10
What are the dimensions of AB?
A. 3x2
B. 3x3
C. 2x3
D. 2 x 2

Answers

Answer:

Based on the image, we can see that matrix A is a 3x2 matrix, and matrix B is a 2x3 matrix. In order to multiply matrices A and B, the number of columns in matrix A must match the number of rows in matrix B.

Since matrix A has 2 columns and matrix B has 2 rows, we can multiply them together, resulting in a 3x3 matrix. Therefore, the answer is B. The dimensions of AB are 3x3.

I DONT NEED BRAINLEST JUST STAY FUN AND SAFE

Ans. (c) 2X3

Dimension of matrix is given by row x column

The inventory at the end of the year was understated by $14,750:

(A) Did the error cause an overstatement or an understatement of the gross profit for the year? Why?

(B) Which items on the balance sheet at the end of the year were overstated or understated as a result of the error?

Answers

The error caused an understatement of the gross profit for the year, as the cost of goods sold was overstated by $14,750.

The error in inventory caused an understatement of the inventory value on the balance sheet, which in turn caused an overstatement of the cost of goods sold. This is because the cost of goods sold is calculated by subtracting the cost of the ending inventory from the cost of goods available for sale.

Therefore, an understatement of the ending inventory leads to an overstatement of the cost of goods sold, which ultimately results in an understatement of the gross profit. None of the other items on the balance sheet are directly affected by the error in inventory.

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In ΔWXY, x = 4.7 cm, y = 7.9 cm and ∠W=162°. Find the area of ΔWXY, to the nearest 10th of a square centimeter.

Answers

The area of the triangle to the nearest tenth is 5.8cm²

What is area of a triangle?

A triangle is a closed, 2-dimensional shape with 3 sides, 3 angles, and 3 vertices. A triangle is also a polygon. Examples of triangle include, isosceles, equilateral , scalene e.t.c

The area of a triangle is expressed as;

A = 1/2 b h for right angle triangle and A = absinC for others.

Here; x = 4.7, y = 7.9, W = 162

area = 1/2× 4.7 × 7.9 sin162

= 1/2 × 4.7 × 7.9 × 0.31

= 5.8 cm²( nearest tenth)

Therefore the area of the triangle is 5.8cm²

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Help pls. And please actually answer the question

Answers

Start with the base graph: y = |x|

Translate the graph one unit to the right: y = |x - 1|

---We use a minus/negative/subtraction sign when dealing with horizontal translations because it is the opposite of the way we want to go. If the translation occurs within parenthesis/absolute value bars, we always do the opposite of what we think we should.

Translate the graph one unit down: y = |x - 1| - 1

---If the translation occurs to the y-value/vertically, we use the expected operation/sign. If the translation occurs outside of parenthesis, we use the same operation/sign as the translation (+ for up, - for down).

Answer: y = |x - 1| - 1

Hope this helps!

Answer:

y=|x-1|-1

Step-by-step explanation:

The function for a v shaped graph is an absolute value function: y=|x|

Subtracting 1 from the absolute value y=|x|, we move the graph 1 unit right of the x axis

Subtracting 1 from the whole equation, y=|x-1|, we move the graph 1 unit down the y axis

So, the equation would be y=|x-1|-1

A random sample of 13 $1 Trifecta tickets at a local racetrack paid a mean amount of $52. 23 with a sample standard deviation of $3. 35. Is there sufficient evidence to conclude that the average Trifecta winnings exceed $50? Use a 10% significance level and assume the distribution is approximately normal.



What is the critical value?

Answers

The critical value for the given problem is 1.282.

To determine if there's sufficient evidence that the average Trifecta winnings exceed $50, follow these steps:

1. State the hypotheses:
  H0: µ ≤ $50 (null hypothesis)
  H1: µ > $50 (alternative hypothesis)

2. Choose the significance level:
  α = 0.10

3. Calculate the test statistic (t-score):
  t = (sample mean - population mean) / (sample standard deviation / √sample size)
  t = ($52.23 - $50) / ($3.35 / √13)
  t ≈ 2.15

4. Determine the critical value:
  Using a t-distribution table or calculator, find the critical value for a one-tailed test with 12 degrees of freedom (13-1) and α = 0.10. The critical value is 1.282.

5. Compare the test statistic to the critical value:
  Since the test statistic (2.15) is greater than the critical value (1.282), we reject the null hypothesis.

In conclusion, there is sufficient evidence to conclude that the average Trifecta winnings exceed $50 at a 10% significance level.

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Complete question:

A random sample of 13 $1 Trifecta tickets at a local racetrack paid a mean amount of $52. 23 with a sample standard deviation of $3. 35. Is there sufficient evidence to conclude that the average Trifecta winnings exceed $50? Use a 10% significance level and assume the distribution is approximately normal.What is the critical value?

Below is attached t-table image:

Determine the equation of the circle graphed below.

Answers

Answer:

(x-4)^2+(y-1)^2=9

Step-by-step explanation:

diameter = 6

radius = diameter/2 = 3

center (h,k) = (4,1)

standard equation of a circle (x-h)^2 + (y-k)^2=r^2

(x-4)^2+(y-1)^2=9

Please help I need it ASAP, also needs to be rounded to the nearest 10th

Answers

Answer: AB = 16.4

Step-by-step explanation:

You can use tan x = opposite/adjacent

tan 38 = AB/21

21 tan 38 = AB

AB = 16.4

A shipping container is in the shape of a right rectangular prism with a length of 11. 5


feet, a width of 8. 5 feet, and a height of 7 feet. The container is completely filled with


contents that weigh, on average, 0. 32 pound per cubic foot. What is the weight of the


contents in the container, to the nearest pound?

Answers

The weight of the contents in the container is approximately 222 pounds when rounded to the nearest pound.

The weight of the contents in the container can be calculated using the formula:

Weight = Volume x Density

First, we need to find the volume of the container, which is simply the product of its length, width, and height:

Volume = 11.5 x 8.5 x 7 = 696.5 cubic feet

Next, we need to multiply the volume by the density of the contents:

Weight = 696.5 x 0.32 = 222.08 pounds

It's important to note that the weight may vary depending on the actual density of the contents. Additionally, it's also important to consider the weight of the container itself, which would add to the total weight of the shipment.

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Answer Immeditely Please

Answers

Answer:

√429.

Step-by-step explanation:

Triangles BCD and ABC are similar, so corresponding sides are in the same ratio, so:

x/ AC = DC/x

x/39 = 11/x

x^2 = 11*39

x^2 = 429

x = √429

The circumference (C) of a circle is 16 cm. Which formula can you use to find the diameter (d) if you know that C = π
d?

Answers

Answer:

c/π=d

explanation:

d × π = c

divide c to isolate d

Answer: I would multiply pie by a diameter until it equals 16.

(I know this probably isn’t the professional way but it should work.

Solid metal support poles in the form of right cylinders are made out of metal with a
density of 6.3 g/cm³. This metal can be purchased for $0.30 per kilogram. Calculate
the cost of a utility pole with a diameter of 42 cm and a height of 740 cm. Round your
answer to the nearest cent. (Note: the diagram is not drawn to scale)

Answers

Answer:Therefore, the cost of a utility pole with a diameter of 42 cm and a height of 740 cm is approximately $1957.43.

Step-by-step explanation:First, we need to calculate the volume of the cylinder-shaped utility pole:

The radius of the pole is half the diameter, so it's 42 cm / 2 = 21 cm.

The height of the pole is 740 cm.

The volume of a cylinder is given by the formula V = πr²h, where π is approximately 3.14, r is the radius, and h is the height.

Substituting the values we have, we get V = 3.14 x 21² x 740 = 1,034,462.4 cm³.

Now we can calculate the mass of the pole:

The density of the metal is 6.3 g/cm³, which means that 1 cm³ of the metal has a mass of 6.3 g.

The volume of the pole is 1,034,462.4 cm³, so its mass is 6.3 x 1,034,462.4 = 6,524,772.72 g.

Next, we convert the mass to kilograms and calculate the cost:

1 kg is equal to 1000 g, so the mass of the pole in kilograms is 6,524,772.72 g / 1000 = 6524.77 kg.

The cost of the metal is $0.30 per kilogram, so the cost of the pole is 6524.77 kg x $0.30/kg = $1957.43.

5 dived by 465 long divsion 6th grade

Answers

Answer: 5 divided by 465 is 0.010752688172

          465 divided by 5 is 93

Step-by-step explanation:

1. Paula has x cups of food in a container to feed her dogs. She pours 1. 5 cups of food into their bowls. There is now 5. 25 cups left in the container. Which equation would be used to solve this problem?



a. 1. 5 - x = 5. 25


b. 5. 25 - x = 1. 25


c. X - 1. 5= 5. 25


d. X + 1. 5= 5. 25




2. A box of donuts cost $9. You want to send donuts to the local nursing home. Set up an equation to find how many boxes you can send if you have $72.



a. 72 = 9 + b


b. 72 = 9 - b


c. 72 = 9b


d. 72 = 9/b




3. Jordan is purchasing a board to build a bookcase. He wants to divide the board into 1. 75 foot sections and he needs 6 sections. Which equation can be used to solve this problem?



a. B/1. 75 = 6


b. 1. 75b = 6


c. B - 1. 75 = 6


d. B + 1. 75 = 6

Answers

The correct option for each individual question is c. X - 1. 5= 5. 25, c. 72 = 9b and B/1.75 = 6.

1. Total food = poured food + remaining food

Keep the values in formula

x = 1.5 + 5.25

Rearranging the equation

x - 1.5 = 5.25

Thus, correct option is c. X - 1. 5= 5. 25

2. Cost of one box × number of boxes = total cost

9 × number of boxes = 72

Let us represent the number of boxes as b. So,

9b = 72

Hence, correct option is c. 72 = 9b.

3. Length of each section × number of sections = total length of bookcase sections

Let us represent total length of bookcase sections as B

1.75 × 6 = B

Rearranging the equation

B/1.75 = 6

So, the correct option is a. B/1. 75 = 6.

Thus, correct option are c. X - 1. 5= 5. 25, c. 72 = 9b and B/1.75 = 6.

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Domain of the rational function.
(5x^2)/(1-x)

Answers

Answer:

(-∞, 1) ∪ (1, ∞)

Step-by-step explanation:

1 - x = 0

-x = -1

x = 1

In interval notation, the domain is (-∞, 1) U (1, ∞)

The thickness of paper manufactured at a manufacturing company is roughly symmetrical with a mean of 0. 0039 inch and a standard deviation of about 0. 00001 inch. A marketing manager wants to divide the values of the thickness of paper by 0. 0001 to make the values easier to manage.



What are the mean and standard deviation of the thickness of paper after dividing by 0. 0001?



The mean is ?


inch.



The standard deviation is ?


inch

Answers

The mean of the thickness of paper is 39 inches, and the standard deviation is 0.1 inches.

To find the mean and standard deviation of the thickness of paper after dividing by 0.0001, you should follow these steps:

1. Divide the mean by 0.0001:
Mean after dividing = 0.0039 inches / 0.0001
Mean after dividing = 39 inches

2. Divide the standard deviation by 0.0001:
Standard deviation after dividing = 0.00001 inches / 0.0001
Standard deviation after dividing = 0.1 inches

The mean of the thickness of paper after dividing by 0.0001 is 39 inches, and the standard deviation is 0.1 inches.

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The circumstances if the base of the cone is 12π cm. If the volume of the cone is 96π, what is the height

Answers

Answer:8

Step-by-step explanation:

Suppose you carry out a significance test of h0: μ = 8 versus ha: μ > 8 based on sample size n = 25 and obtain t = 2.15. find the p-value for this test. what conclusion can you draw at the 5% significance level? explain.

a the p-value is 0.02. we reject h0 at the 5% significance level because the p-value 0.02 is less than 0.05.
b the p-value is 0.02. we fail to reject h0 at the 5% significance level because the p-value 0.02 is less than 0.05.
c the p-value is 0.48. we reject h0 at the 5% significance level because the p-value 0.48 is greater than 0.05.
d the p-value is 0.48. we fail to reject h0 at the 5% significance level because the p-value 0.48 is greater than 0.05.
e the p-value is 0.52. we fail to reject h0 at the 5% significance level because the p-value 0.52 is greater than 0.05.

Answers

We can  draw at the 5% significance level, the p-value is 0.02. we reject h0 at the 5% significance level because the p-value 0.02 is less than 0.05. The correct answer is a.

To find the p-value, we need to find the area to the right of t = 2.15 under the t-distribution curve with 24 degrees of freedom (df = n - 1 = 25 - 1 = 24). Using a t-table or a calculator, we find that the area to the right of t = 2.15 is approximately 0.02.

Since the p-value (0.02) is less than the significance level (0.05), we reject the null hypothesis H0: μ = 8 and conclude that there is sufficient evidence to support the alternative hypothesis Ha: μ > 8 at the 5% significance level. This means that we can say with 95% confidence that the true population mean is greater than 8.

Therefore the correct answer is a.

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Solve (d-8) (6d-3) using the box method show work

Answers

6d^2 - 51d + 24

that's it

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This wooden frame is made of three planks of wood attached with glue and nails. The wood will be painted with emulsion paint which takes 80ml of paint per metre of wood. Calculate the amount of paint needed to cover all the wood

Answers

amount of paint needed to cover all the wood in the frame, we need to first determine the total length of the wood in meters. Let's assume that each plank of wood is 1 meter long, so the total length of wood in the frame is 3 meters.

Next, we need to calculate the amount of paint required per meter of wood. The problem states that 80ml of emulsion paint is needed per meter of wood. So, we can multiply 80ml by 3 meters to get the total amount of paint needed for the entire frame.

80ml/meter x 3 meters = 240ml
Therefore, we need 240ml of emulsion paint to cover all the wood in the frame.
It is important to note that this calculation assumes that only one coat of paint will be applied to the wood. If multiple coats are desired, the amount of paint required will need to be adjusted accordingly.

In conclusion, to paint the wooden frame made of three planks of wood attached with glue and nails, we would need 240ml of emulsion paint.

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Isabella grows two types of pepper plants. The following dot plots show the numbers of peppers, rounded to the nearest
5
55, per plant for each type. Each dot represents a different plant. Compare the typical number of peppers per plant. In general, the

had more peppers, with

per plant

Answers

The possible values of x that satisfy the equation |x+5| = c are x = c - 5 and x = -c - 5.

what is algebra?

Algebra is a branch of mathematics that deals with mathematical operations and symbols used to represent numbers and quantities in equations and formulas.

Please Answer ASAP! PLEEEASE
Answer Fully Please And Fill IN THe Blanks!
also you will get allot of points

Answers

It is a fifth order polynomial

The constant term is -7

The leading term is [tex]x^5/7[/tex]

The coefficient of the leading term is [tex]1/7[/tex]

What is the leading term of a polynomial?

The term with the highest degree—i.e., the term with the largest power of the variable—is the leading term. The leading coefficient is the leading term's coefficient.

We frequently rearrange polynomials so that the powers are descending or ascending because of the definition of the "leading" term. We can see that the leading term in the expression here is [tex]x^5/7[/tex].

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A person was driving their car on an interstate highway


and a rock was kicked up and cracked their windshield


on the passenger side.


The driver wondered if the rock was equally likely to


strike any where on the windshield, what the probability


was that it would have cracked the windshield in his line


of site on the windshield. Determine this probability,


provided that the windshield is a rectangle with the


dimensions 28 inches by 54 inches and his line of site


through the windshield is a rectangle with the


dimensions 30 inches


by 24 inches.



a) 0. 373


b) 0. 139


c) 0. 423


d) 0. 476

Answers

There is about a 47.62% or 0.476 chance that the rock hit the windshield in the driver's line of sight. Option D.

To determine the probability that the rock hit the driver's line of sight on the windshield, we need to compare the area of the driver's line of sight rectangle to the total area of the windshield rectangle.

The area of the windshield rectangle is:

A1 = 28 in x 54 in = 1512 sq in

The area of the driver's line of sight rectangle is:

A2 = 30 in x 24 in = 720 sq in

Therefore, the probability that the rock hit the driver's line of sight on the windshield is:

[tex]P= \frac{A2}{A1}= \frac{720 \:sq in}{1512 \:sq in }[/tex] = 0.476 or 47.6%

So, there is about a 47.62% chance that the rock hit the windshield in the driver's line of sight.

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