Find a linear function h given h(−3)=−4 and h(−9)=−5. The linear function is h(x)= (Simpliky your answer. Use integers or fractions for any numbers in the espression)

The linear function that models the data is S = 3.8x - 14.506 and  the circumference of a finger with a ring size of 6 is 5.4 cm.

a. To find a linear function S that models the data, we need to find the slope and y-intercept of the line that best fits the data. The slope can be found by using the formula:

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

Using the first two data points, we can find the slope:

m = (7 - 4) / (5.66 - 4.87)

m = 3 / 0.79

m = 3.8

To find the y-intercept, we can use the formula:

y = mx + b

Substituting one of the data points and the slope into the formula and solving for b:

4 = (3.8)(4.87) + b

b = 4 - (3.8)(4.87)

b = -14.506

So the linear function that models the data is:

S = 3.8x - 14.506

b. To find the circumference of a finger with a ring size of 6, we can substitute S = 6 into the linear function and solve for x:

6 = 3.8x - 14.506

3.8x = 20.506

x = 5.4 cm

So the circumference of a finger with a ring size of 6 is 5.4 cm.

To know more about linear function refer to:

brainly.com/question/12788590

#SPJ11

The division is one of the four basic arithmetic operations in mathematics, along with addition, subtraction, and multiplication. It involves breaking a number or quantity into equal parts, or groups, and determining how many groups or how many items are in each group.

In mathematics, a division sentence is a statement that represents the operation of division. It is typically written in the form of a fraction or using the division symbol, with a dividend (the number being divided) on top and a divisor (the number by which the dividend is being divided) on the bottom. For example, the division sentence 8 ÷ 2 = 4 can also be written as the fraction 8/2 = 4/1.

The result of a division operation is called the quotient.

Division is a fundamental concept in mathematics and is used in many areas of study, including algebra, geometry, and statistics. It is also an important tool in everyday life, such as in calculating the cost per unit of a product or dividing a recipe to adjust the serving size.

Without a specific drawing to refer to, it's difficult to provide a specific explanation of how Adrian used it to solve a division sentence. However, I can provide a general explanation of how a drawing might be used to illustrate or solve a division problem.

One common way to use a drawing to solve a division problem is through the use of equal groups. For example, consider the division problem 12 ÷ 3. To solve this problem, we can draw 12 circles and group them into equal groups of 3. We would then count the number of groups to determine the quotient, which is the answer to the division problem.

Another way to use a drawing to solve a division problem is through the use of a number line. For example, consider the division problem 15 ÷ 5. We can draw a number line and mark the starting point at 0, the ending point at 15, and the intervals at 5. We would then count the number of intervals to determine the quotient, which is the answer to the division problem.

Regardless of the specific method used, a drawing can help to illustrate the concept of division and make it more concrete and visual. It can also be a useful tool for students who are just learning about division or who struggle with more abstract or symbolic representations of mathematical concepts.

To know more about divisions visit:

brainly.com/question/927962

#SPJ1

Answer:

4x + 14

Step-by-step explanation:

2 (3x2 - 4x + 7)

= 2 ( 6x - 4x + 7)

= 2 ( 2x + 7)

= 4x + 14

[tex](f+g)(x)= f(x) .g(x)[/tex][tex](f+g)(0) = f(0)+g(0) = 1+\frac{1}{2} = \frac{3}{2}[/tex][tex]g(0) = \frac{1}{2-0} =\frac{1}{2}[/tex]Answer:

Step-by-step explanation:

We are given:

[tex]f(x) = x^{2} +1\ ;g(x) = \frac{1}{2-x}[/tex]

We need to find:

a) [tex](f+g)(0)[/tex]

b) [tex](f.g)(0)[/tex]

[tex]f(0) = 0^{2} +1 = 1[/tex]

[tex]g(0) = \frac{1}{2-0} =\frac{1}{2}[/tex]

a) we know that

[tex](f+g)(x)= f(x) +g(x)[/tex]

[tex](f+g)(0) = f(0)+g(0)[/tex]

Using the value of f(0) and g(0)

we get

b) we know that

[tex](f+g)(x)= f(x) .g(x)[/tex]

[tex](f+g)(x)= f(x) .g(x) = (1)(\frac{1}{2}) =\frac{1}{2}[/tex]

So we have answer for a) 3/2 and for b) 1/2

Using the expressions to evaluate each function we are left with the following:

To evaluate the expressions, we simply need to substitute the value of x with 0 in the given functions and then perform the indicated operations. For part a, we need to add the functions f and g, and for part b, we need to multiply them:

(f + g)(0) = f(0) + g(0) = (0² + 1) + (1 / (2 - 0)) = 1 + (1 / 2) = 1.5

(f · g)(0) = f(0) * g(0) = (0² + 1) * (1 / (2 - 0)) = 1 * (1 / 2) = 0.5

In conclusion, we have that (f + g)(0) = 1.5 and (f · g)(0) = 0.5.

See more about function at https://brainly.com/question/2284360.

#SPJ11

The perimeter of the regular octagon with an apothem of 5 units will be 33.14 units.

Since, We know that;

All the sides of the regular polygon are congruent to each other. The perimeter of the regular polygon of n sides will be the product of the number of the side and the side length of the regular polygon.

P = (Side length) x n

Here, The Apothem of a regular octagon is 5 units.

Then the side length of the regular octagon is given as,

tan (360° / (2 × 8)) = (n/2) ÷ 5

tan 22.5° = n / 10

n = 4.142

Then, the perimeter is given as,

P = 8 x 4.142

P = 33.14 units

Thus, The perimeter of the regular octagon with an apothem of 5 units will be 33.14 units.

More about the perimeter of the regular polygon link is given below.

brainly.com/question/10885363

#SPJ2

It will take approximately 2.9 years (or 2 years and 11 months) for the $2500 investment to earn $400 interest at a rate of 8% compounded quarterly.

A = [tex]P(1 + r/n)^{nt}[/tex]

Where:

A = the total amount that includes principal and interest, P = the principal that is the initial amount invested, r = the annual interest rate, n = the number of times is the interest is compounded per year, and t = the time

$2900 = [tex]$2500(1 + 0.08/4)^{4t}[/tex]

Simplifying this equation, we get:

1.16 = (1 + 0.02

By calculating the natural logarithm of both sides, we arrive at:

ln(1.16) = 4t ln(1.02)

t ≈ 2.9 years

To learn more about interest follow the link: brainly.com/question/30393144

#SPJ4

x1 = 5 and x2 = 0

The following LP problem in a spreadsheet MAX: 4x1 + 4x2 Subject to: 2x1 + 4x2 <= 20, 3x1 + 5x2 <= 15, and x1, x2 >= 0.A spreadsheet is a type of software that allows users to store and analyze data in a grid-like format of rows and columns. Spreadsheets are commonly used for data entry, financial modeling, and other calculations.In the given problem, we are supposed to find the maximum value of the function 4x1 + 4x2 subject to the constraints 2x1 + 4x2 <= 20, 3x1 + 5x2 <= 15, and x1, x2 >= 0.The first two constraints are represented by inequalities. That means, the values of x1 and x2 can be any non-negative values that satisfy the constraints. Mathematically, the constraints can be represented as:2x1 + 4x2 <= 20⇒ x2 <= 5 - 0.5x1--------(1)3x1 + 5x2 <= 15⇒ x2 <= 3 - 0.6x1--------(2)Note that, we have represented the constraints in such a way that x2 is the subject of the inequality. This is done to make it easier to graph and find the feasible region.To find the feasible region, we need to graph both inequalities (1) and (2) on a coordinate plane. The feasible region is the shaded area that is common to both regions. It is given below:The feasible region is the triangular-shaped region. Since x1 and x2 are both non-negative, we need to consider only the values of x1 and x2 that are within the feasible region.Now, to maximize the function 4x1 + 4x2, we need to find the optimal solution. We do this by finding the intersection points of the lines that represent the equation 4x1 + 4x2 = k, where k is a constant.The equation 4x1 + 4x2 = k can be rearranged as x2 = (-x1 + k/4)This equation represents a line with a slope of -1 and a y-intercept of k/4. We can graph this line for different values of k to find the optimal solution. The line for k = 0 is shown below:We can see that the line passes through the feasible region at point (0, 0) and (5, 0). This means that the maximum value of the function is 4x1 + 4x2 = 4(5) + 4(0) = 20 at point (5, 0).Thus, the maximum value of the function 4x1 + 4x2 subject to the constraints 2x1 + 4x2 <= 20, 3x1 + 5x2 <= 15, and x1, x2 >= 0 is 20 at x1 = 5 and x2 = 0.

Learn more about feasible region

brainly.com/question/29314086

#SPJ11

Answer:

Step-by-step explanation:

Dang, they made this a little harder. Now we need to actually calculate a slope. Good thing is, it's relatively easy. Slope is basically the rate of change, or the rise of the function over the run, which is shown as:

Δy/Δx

We can use two points to find the slope. I will use (2,795) and (4,1525)

(y1 - y2) / (x2 - x1)

(1525 - 795) / (4 - 2)

730 / 2

365

This is our slope, 365x.

Now we need the y-intercept, which is where the line hits the y-axis. It seems to be at 100, so the new equation is:

y = 365x + 100

If we want to know how many followers Lauren will have in 2018, we just use 7 for x years after 2011, since 2018 is 7 after 2011.

y = 365(7) + 100

y = 2555 + 100

y = 2655

Lauren has 2655 followers in 2018.

Station 6-

The x-intercept tells us when the depth below the sea level is 0 feet.

The y-intercept tells us the starting depth when the time is 0.

The meaning of the slope being -10x is that the depth below the sea level decreases 10 feet per minute. Hope this helps, and sorry for seeing this late!

The value of x is 3  and the sides of given rectangle are 3,3,9,9.

What is Area of rectangle ?

area of rectangle can be defined as product of length and breadth.

From the given figure ,

it is given that ,

perimeter of rectangle = 24 cm

and the sides are ,

x,x,x+6,x+6

so we know that perimeter of rectangle = 2 (l+b)

that is,

24 = x+x+x+6+x+6

24 = 4x + 12

4x = 12

x = 3

Therefore, The value of x is 3  and the sides of given rectangle are 3,3,9,9.

To learn more about Rectangle from given link.

https://brainly.com/question/20693059

#SPJ1

The factored form of the given polynomial is [tex]10a^{(2)}(6ab)^{(2)}+1-5a^{(2)}b^{(2))}[/tex]

To factor the given polynomial completely, we need to find the greatest common factor (GCF) of all the terms. The GCF of 60a^(3)b^(2), 10a^(2), and -50a^(4)b^(2) is 10a^(2).

So, we can factor out 10a^(2) from each term to get:

[tex]10a^{(2)}(6ab)^{(2)}+1-5a^{(2)}b^{(2))}[/tex]

Now, we can check our answer by multiplying the factors back together:

[tex]10a^{(2)}(6ab^{(2)}+1-5a^{(2)}b^{(2))}=60a^{(3)}b^{(2)}+10a^{(2)}-50a^{(4)}b^{(2)}[/tex]

Therefore, the factored form of the given polynomial is [tex]10a^{(2)}(6ab)^{(2)}+1-5a^{(2)}b^{(2))}.[/tex]

To learn more about polynomial here:

https://brainly.com/question/2833285#

#SPJ11

a) The null and alternative hypotheses are:
H0: µ1 = µ2
Ha: µ1 ≠ µ2

b) The test statistic is:
t = 0.117

c) The P-value is:
P-value = 0.9072

To test the null hypothesis at α= 0.05 using the pooled t-test, we need to follow these steps:

Step 1: Choose the null and alternative hypotheses. The null hypothesis is that the mean page views per visit for website 1 are equal to the mean page views per visit for website 2. The alternative hypothesis is that the mean page views per visit for website 1 are not equal to the mean page views per visit for website 2.

H0: µ1 = µ2
Ha: µ1 ≠ µ2

Step 2: Calculate the test statistic. The test statistic for the pooled t-test is given by:

t = (y1 - y2) / (sp * √(1/n1 + 1/n2))

where sp is the pooled standard deviation, given by:

sp = √(((n1 - 1) * s1^2 + (n2 - 1) * s2^2) / (n1 + n2 - 2))

sp = √(((70 - 1) * 4.9^2 + (90 - 1) * 5.4^2) / (70 + 90 - 2)) = 5.178

t = (7.5 - 7.4) / (5.178 * √(1/70 + 1/90)) = 0.117

Step 3: Calculate the P-value. The P-value is the probability of observing a test statistic as extreme or more extreme than the one we calculated, assuming the null hypothesis is true. We can use a t-distribution table or a calculator to find the P-value. The degrees of freedom for the pooled t-test are n1 + n2 - 2 = 70 + 90 - 2 = 158.

Using a t-distribution table or a calculator, we find that the P-value is 0.9072.

Step 4: Since the P-value is greater than the significance level of 0.05, we fail to reject the null hypothesis. There is not enough evidence to suggest that the mean page views per visit for website 1 are different from the mean page views per visit for website 2.

Thus:

a) The null and alternative hypotheses are:
H0: µ1 = µ2
Ha: µ1 ≠ µ2

b) The test statistic t = 0.117

c) The P-value = 0.9072

To know more about the null hypothesis click here:

https://brainly.com/question/30821298

#SPJ11

The answer is yes, more than one triangle can be formed using the three angle measures of triangle QPC. This is because the sum of the three angle measures of a triangle is always equal to 180 degrees.

A triangle is a three-sided geometric figure, consisting of three straight lines connecting three vertices. It is one of the most fundamental shapes in geometry and is used as the basis for a variety of mathematical concepts.

If two angle measures are given, any third angle measure between 0 and 180 degrees can be chosen to form a triangle. Thus, if two angle measures of triangle QPC are given, any third angle measure between 0 and 180 degrees can be used to form a triangle.

For example, if two angle measures of triangle QPC are 45 degrees and 65 degrees, then any third angle measure between 0 and 180 degrees can be chosen to form a triangle. Thus, if the third angle measure chosen is 70 degrees, then a triangle with three angle measures of 45 degrees, 65 degrees and 70 degrees can be formed. Similarly, if the third angle measure chosen is 30 degrees, then a triangle with three angle measures of 45 degrees, 65 degrees and 30 degrees can be formed.

Thus, it can be concluded that more than one triangle can be formed using the three angle measures of triangle QPC.

For more questions related to geometric,

https://brainly.com/question/11266123

#SPJ1

Answer:

La cofunción del seno de un ángulo es igual al coseno de su complemento. Similarmente, la cofunción del coseno de un ángulo es igual al seno de su complemento.

Entonces, para encontrar la cofunción de sec(y-π), primero encontramos el complemento de (y-π), que es (π/2 - (y-π)) = (π/2 - y + π) = (3π/2 - y).

Por lo tanto, la cofunción de sec(y-π) es igual al coseno de su complemento, que es el coseno de (3π/2 - y):

cos(3π/2 - y) = -sin(y)

Entonces, la cofunción de sec(y-π) es igual a -sin(y).

Answer:

360 people pledged $25.

Step-by-step explanation:

You'll need to set up only one equation to solve this.

Let's use x for the number of people who pledged $50. Since twice as many people pledged $25, it would be 2x. Keep this in mind for later.

Multiply 2x by 25, and you should get 50x. Now, your equation is 50x + 50x = 18,000. Simplify this to 100x = 18,000.

Now, divide both sides by 100. After doing so, you should have x = 180. This is how many people pledged $50. To find how many pledged $25, plug the value of x into 2x. (In other words, multiply 180 by 2.) After doing so, you should get 360. This is how many people pledged $25.

Hope this helps!

We can plot the two points (-2, 3) and (0, 4) and draw a straight line passing through both points. The resulting line has a slope of 1/2 and y-intercept of 4.

Graphs are used to help people understand and interpret information in a way that is easy to see and analyze. There are many different types of graphs, each with its own characteristics and applications.

Some common types of graphs include:

Line graph: A line graph displays data as a series of points connected by lines, typically used to show trends or changes over time.

Bar graph: A bar graph displays data as bars of different heights, typically used to compare values or quantities.

Pie chart: A pie chart displays data as a circle divided into slices, typically used to show proportions or percentages.

To find the y-coordinate for each x-coordinate, we can substitute each value of x into the equation y = (1/2)x + 4 and simplify:

When x = -2:

y = (1/2)(-2) + 4

y = -1 + 4

y = 3

So, the point (-2, 3) is on the line.

When x = 0:

y = (1/2)(0) + 4

y = 0 + 4

y = 4

So, the point (0, 4) is on the line.

We can complete the table as follows:

x y = (1/2)x + 4 y

-2 y = (1/2)(-2) + 4 3

0 y = (1/2)(0) + 4 4

To graph the line, we can plot the two points (-2, 3) and (0, 4) and draw a straight line passing through both points. The resulting line has a slope of 1/2 and y-intercept of 4.

To know more about intercept visit:

https://brainly.com/question/14180189

#SPJ1

The x-values at a distance of 22 or less from the number 9 are all the numbers in the interval [-13, 31].

The x-values at a distance of 22 or less from the number 9 can be found by solving the inequality |x-9|≤22.

Step 1: Break up the absolute value inequality into two separate inequalities:
x-9≤22 and x-9≥-22

Step 2: Solve each inequality for x:
x≤31 and x≥-13

Step 3: Combine the two inequalities using the "and" operator (∩):
-13≤x≤31

Step 4: Write the solution in interval notation:
[-13, 31]

So, the x-values at a distance of 22 or less from the number 9 are all the numbers in the interval [-13, 31].

Learn more about  Interval notation:

brainly.com/question/29531272

#SPJ11

The equation that relates the total number of visits to the number of days the promotion has been running is v = 96 × [tex]2^{\frac{d}{5} }[/tex] .

When an equal sign connects two expressions then, it is called an equation.

According to the question, the total number of visits doubled after every 5 days.

So, after 5 days visits= 96×2

After 10 days visits= 96×2×2

After 15 days visists= 96×2×2×2

Therefore, it is a proportional sequence.

Hence, the equation that relates the total number of visits, v, to the number of days the promotion has been running, d comes out to be:

v = 96 × [tex]2^{\tfrac{d}{5} }[/tex]

Learn more about proportional equations here:

https://brainly.com/question/29864115

#SPJ1

The required measure of q in the given triangle is 3.

Trigonometric ratios are mathematical functions used to relate the angles of a right-angled triangle to the lengths of its sides. There are three basic trigonometric ratios: sine (sin), cosine (cos), and tangent (tan), which can be defined as follows:

Sine (sin) = opposite/hypotenuse

Cosine (cos) = adjacent/hypotenuse

Tangent (tan) = opposite/adjacent

Here,
Applying the Sine rule,
sin45 = q/3√2
q = 3

Thus, the required measure of q in the given triangle.

Learn more about trig ratios here:

https://brainly.com/question/14977354

#SPJ1

Answer:

0.68 inches

Step-by-step explanation:

The interior diameter of the old pipe is 0.63 inches, and the plumbing tape will fill 0.15 inches of the space between the old pipe and the new pipe. Therefore, the total diameter that the new pipe must fit inside is:

0.63 inches + 0.15 inches = 0.78 inches

The new pipe must be 0.1 inches smaller than this diameter to ensure a proper fit. Therefore, the diameter of the new pipe should be:

0.78 inches - 0.1 inches = 0.68 inches

So, the new pipe must have an interior diameter of 0.68 inches to fit correctly inside the old pipe with the plumbing tape.

The first 3 iterates of the function f(x) = 3x when x0=2 are,

⇒ 6, 18, 54

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

The function is,

⇒ f (x) = 3x

At x₀ = 2

Now, We get;

The first iterate is,

⇒ f (x₁) = 3x₀ = 3 × 2 = 6

Second iterate is,

⇒ f (x₂) = 3x₁ = 3 x 6 = 18

Third iterate is,

⇒ f (x₃) = 3x₂ = 3 x 18 = 54

Thus, The first 3 iterates of the function f(x) = 3x when x0=2 are,

⇒ 6, 18, 54

Learn more about the multiplication visit:

https://brainly.com/question/10873737

#SPJ9

Subtraction of  the polynomials using the horizontal format (3x³ + x² + 2) from 7x³- x - 8 is 4x³ - x² - x - 10.

A polynomial is a mathematical statement made up of coefficients and indeterminates that uses only the operations addition, subtraction, multiplication, and powers of positive integers of the variables.

To subtract the polynomials using the horizontal format, we will first write the two polynomials next to each other with the subtraction sign in between, then subtract the corresponding terms.

7x³- x - 8 - (3x³ + x² + 2)

Next, we will distribute the negative sign to each term inside the parentheses:

7x³ - x - 8 - 3x³- x²- 2

Now we will combine like terms:

4x³ - x² - x - 10

So, the final answer is 4x³ - x² - x - 10.

Learn more about polynomial at https://brainly.com/question/14623396

#SPJ11

The height in meters is 1.73 meters (rounded to two decimal places), the weight in other unit (kg) approximately 92.1 kg.The distance ran is approximately 546 meters

The distance you have run is 597 yards. To convert yards to meters, we can use the conversion factor 1 yard = 0.9144 meters. Therefore, the distance you have run in meters is approximately 546 meters (rounded to the nearest meter).

Your weight is currently expressed in pounds (lbs). To express your weight in other units, we can use conversion factors. For example, your weight in kilograms (kg) can be found by multiplying your weight in pounds by 0.453592. Using this conversion, your weight would be approximately 92.1 kg (rounded to one decimal place). Alternatively, your weight in stones (st) can be found by dividing your weight in pounds by 14. Using this conversion, your weight would be approximately 14.5 st (rounded to one decimal place).

Therefore, the hieght, weight and distance ran are 1.73 meters,  92.1 kg and 546 meters respectively.

Learn more about interconversion of units :

https://brainly.com/question/12791375

#SPJ4

The question is :

What is the height in meters and how many meters has he run, and in what unit could you express his weight, for someone who is 5 ft 8 in tall and weighs 203 lbs and ran a distance of 597 yards ?

To find the minimum final score you need to get a 77%,

you can use the following formula:
(weight of weighted grade * weighted grade) + (weight of final * final grade) = desired overall grade
Plug in the given values:
(0.65 * 89) + (0.35 * final grade) = 77
Solve for the final grade:
57.85 + 0.35 * final grade = 77
0.35 * final grade = 19.15
final grade = 19.15 / 0.35
final grade = 54.71

Therefore, the minimum final score you need to get a 77% overall is 54.71%.

To know more about  minimum final score refer here:

https://brainly.com/question/29711693

#SPJ11

Answer:

The height of the building is approximately 55 meters.

Step-by-step explanation:

Let's call the height of the building "h" and the distance from point P to the foot of the building "d".

According to the problem, we have:

d = 50m

T = 23.6m

Using the Pythagorean theorem, we know that:

h^2 = T^2 + d^2

Substituting the values we have:

h^2 = (23.6m)^2 + (50m)^2

h^2 = 556.96m^2 + 2500m^2

h^2 = 3056.96m^2

Taking the square root of both sides, we get:

h = sqrt(3056.96m^2)

h = 55.28m

Rounding to the nearest meter, we get:

h ≈ 55m

Therefore, the height of the building is approximately 55 meters.

Thus, beginning with a 1 = 5, the formula a n = a n-1 + 7 can be used to recursively find the nth term of the sequence.

A sequence in mathematics is an ordered collection of numbers that is typically defined by a formula or rule. Every number in the series is referred to as a term, and its location within the sequence is referred to as its index. Depending on whether the list of terms stops or continues indefinitely, sequences can either be finite or infinite. By their patterns or uniformity, sequences can be categorised, and the study of sequences is crucial to many areas of mathematics, such as calculus, number theory, and combinatorics. Mathematical, geometrical, and Fibonacci sequences are a few examples of popular sequence types.

given

The sequence's terms are all different by 7 (i.e., 12 - 5 = 19 - 12 = 26 - 19 =... = 7).

The following is a definition of a recursive formula for the nth element of the sequence:

a 1 = 5 (the first term of the series is 5) (the first term of the sequence is 5)

For n > 1, each term is derived by adding 7 to the preceding term, so a n = a n-1 + 7.

Thus, beginning with a 1 = 5, the formula a n = a n-1 + 7 can be used to recursively find the nth term of the sequence. For instance, we have

a_2 = a_1 + 7 = 5 + 7 = 12

a_3 = a_2 + 7 = 12 + 7 = 19

a_4 = a_3 + 7 = 19 + 7 = 26

To know more about sequence visit:

https://brainly.com/question/21961097

#SPJ1

By the concept of vertically opposite angles, m∠MDH = 44°.

We know when a transversal intersects two parallel lines at two distinct points,

Two pairs of interior and alternate angles are formed such that the measure of interior angles are same and the measure of alternate angles is also the same.

We know, Pair of vertically opposite angles are equal.

Therefore, 2y + 130 = 3y + 127.

y = 3.

So, 2y + 130 = 136°

Again, ∠PDG = ∠MDH.

Now, 2∠PDG = 360° - 2(136°)

2∠PDG = 360° - 272°.

∠PDG = 44° = ∠MDH.

learn more about transversals here :

https://brainly.com/question/18024908

#SPJ1

Answer: Explanation below

Step-by-step explanation:

R4000 is the money to be split

5:3:2 is the ratio

We can add the ratios together.

5+3+2=10

The first winner = 5/10 x 4000

                           = R2000

The second winner = 3/10 x 4000

                                 = R1200

The third winner = 2/10 x 4000

                             = R800

Hope this helped :)

a. since it provides the lowest regret value should the demand be high.

b. Expected Monetary Value for Gradual Introduction= $2.8 million. Expected Monetary Value for Concentrated Introduction= $1.5 million
c. EVPI = $1.3 million

a. For the pessimistic approach, the recommended decision is to use the gradual introduction of the salad dressings, since it provides the least amount of loss should demand be low. For the minimax regret approach, the recommended decision is also the gradual introduction of the salad dressings, since it provides the lowest regret value should the demand be high.

b. Using the expected monetary value approach, the optimal decision would be to use the gradual introduction of the salad dressings. This is because the expected monetary value for a gradual introduction is $2.8 million, which is higher than the expected monetary value of $1.5 million for a concentrated introduction.

Expected Monetary Value for Gradual Introduction: 0.7 * $1 million + 0.3 * $4 million = $2.8 million
Expected Monetary Value for Concentrated Introduction: 0.7 * -$5 million + 0.3 * $10 million = $1.5 million

c. The EVPI (Expected Value of Perfect Information) for this problem is $1.3 million, which is calculated by subtracting the expected monetary value from the best case outcome.

Best case outcome: $10 million
Expected Monetary Value: $2.8 million
EVPI: $10 million - $2.8 million = $1.3 million

  Learn more about  EVPI

  brainly.com/question/30198698

  #SPJ11

The correct match of the accounting terms such as assets, debits, and credit, would be:

This is a matching exercise that matches various accounting terms with their definitions. Here are the meanings of the terms:

These are some terms in accounting which are used to ensure that proper records are taken.

Find out more on accounting terms at https://brainly.com/question/14914250

#SPJ1