Express two and forty five hundredths as a decima

In order to determine if customers prefer the new spicy flavor of chicken over the current flavor, Bernie Frick, the owner and founder of Fricker's restaurant chain, selected a random sample of 15 customers.

Each customer was given a small piece of the current chicken flavor and asked to rate its overall taste on a scale of 1 to 20, where a higher score indicates liking the flavor more. The purpose of this rating is to establish a baseline for customer preferences. Bernie Frick, the owner of Fricker's restaurant chain, wants to introduce a new spicy flavor for the chicken. To ensure that customers will prefer this new flavor over the current one, he decides to conduct a taste test. A random sample of 15 customers is selected, and they are given a small piece of the current chicken flavor to taste. They are then asked to rate the taste on a scale of 1 to 20, where higher scores indicate a better liking for the flavor. This rating serves as a baseline to compare against the ratings for the new spicy flavor, ultimately determining customer preference.

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The value of the function is g(y - 9)=(y - 9)^2-7(y - 9)

The equations of the functions are given as:

f(x)=-3/2x+11, g(x)=x^2-7x, and h(x)=|15-9x|

To evaluate the function g(y - 8), we make use of the function g(x).

So, we substitute y - 9 for x in g(x)=x^2-7x

The equation becomes

g(y - 9)=(y - 9)^2-7(y - 9)

Hence, the value of the function is g(y - 9)=(y - 9)^2-7(y - 9)

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Downsizing refers to the process of reducing the size and workforce of a company to cut costs, increase efficiency, or adapt to changing market conditions. It involves eliminating positions, reducing staff numbers, or even closing down certain business units or branches.

Downsizing can occur for various reasons, such as financial difficulties, mergers and acquisitions, technological advancements, or strategic reorganization. Companies often assess their operational costs and decide to downsize to improve their financial performance.

During the downsizing process, companies may calculate the potential cost savings by considering factors such as salaries, benefits, severance packages, and operational expenses. For example, if a company decides to eliminate 100 positions with an average salary of $50,000 per year, it could result in annual savings of $5 million.

While downsizing can help companies achieve short-term cost reductions, it often has significant implications for the affected employees, including layoffs, reduced morale, and increased workload for remaining staff. It is crucial for organizations to handle the downsizing process with sensitivity and transparency, providing support to affected employees and communicating the rationale behind the decisions.

It is important to note that downsizing should not be seen as a long-term solution, but rather as a strategic measure to address specific challenges. Companies should also explore alternatives to downsizing, such as retraining and redeploying employees, implementing productivity improvements, or seeking new business opportunities, to ensure sustainable growth and success in the long run.

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Answer:

-5 < x < 5

Step-by-step explanation:

|x| < 5

This can be split into two cases: x < 5 and -x < 5 because |x| could be either x or -x depending on whether x is positive, negative, or 0. Solving the second one we get x > -5 so the answer is -5 < x < 5.

2.6 pounds based off what I did so I dont know

The coordinates of b are (6, -7)

We know that the midpoint formula,

The midpoint of line passing through points (m, n) and (p, q) is,

\((\frac{m+p}{2} ,\frac{n+q}{2} )\)

For given question,

The midpoint of ab is m(7,-2).

We have been given the coordinates of a = (8,3)

We need to find the coordinates of b.

Let a = (x, y)

         = (8, 3)

and the coordinates of b = (p, q)

Using midpoint formula,

m = \((\frac{x+p}{2} ,\frac{y+q}{2} )\)

(7, -2) = \((\frac{8+p}{2} ,\frac{3+q}{2} )\)

Comparing X-coordinates we have,

⇒ \(\frac{8+p}{2}=7\)

⇒ 8 + p = 14

⇒ p = 6

Similarly, by comparing Y-coordinates we have,

⇒ \(\frac{3+q}{2} =-2\)

⇒ 3 + q = -4

⇒ q = -7

This means, (p, q) = (6, -7)

Therefore, the coordinates of b are (6, -7)

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Answer:

B, 13.2

Step-by-step explanation:

Multiply 60 by 0.22 for your answer and you get 13.2

Answer:

5:05 PM

Step-by-step explanation:

Use a time calculator.

Answer:5:05pm

Step-by-step explanation:

It might be easier to split up the 5 hours and 35 min in minutes and hours

11:30 + 5 hours = 4:30pm

There is still 35 minutes left.

4:30 + 35 min = 5:05pm

∴, Christine finished shopping at 5:05pm

Answer:

1

Step-by-step explanation:

/14-15/

/-1/

1(because absolute value of any real number is always positive and for zero itself zero)

Answer: 567

Step-by-step explanation: 9*9=81  then you take 81 and times it by however many days there is in the week (aka 7) 81*7=567

Hiking along the diagonal using the river is 6 city blocks shorter than staying on the path.

To determine how much longer it is to hike along the diagonal using the river compared to staying on the path, we need to calculate the difference in distance between the two routes.

The path is divided into two sections: 8 city blocks west and 15 city blocks east. This creates a right-angled triangle, where the two legs represent the distances walked west and east, and the diagonal represents the direct distance between the starting and ending points.

Using the Pythagorean theorem, we can calculate the length of the diagonal:

Diagonal^2 = (8 blocks)^2 + (15 blocks)^2

Diagonal^2 = 64 + 225

Diagonal^2 = 289

Diagonal = √289

Diagonal = 17 blocks

Therefore, the length of the diagonal along the river is 17 city blocks.

Comparing this to the sum of the distances on the path (8 blocks west + 15 blocks east = 23 blocks), we can calculate the difference:

Difference = Diagonal - Path Length

Difference = 17 blocks - 23 blocks

Difference = -6 blocks

The negative sign indicates that the diagonal along the river is actually shorter by 6 city blocks compared to staying on the path.

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Answer:

Option C, 3x = 30

Step-by-step explanation:

Cuz both angles are vertical angels and therefore congruent to each other.

Hope this helps!

If two triangles are congruent, it means that all corresponding sides and angles are equal. Therefore, all of the statements are always true when △ABC ≅ △ XYZ.

When we say that two triangles, △ABC and △XYZ, are congruent, we mean that they have exactly the same size and shape. This implies that all corresponding sides and angles of the two triangles are equal.

For example, if we say that △ABC ≅ △XYZ, then we know that side AB is equal in length to side XY, side AC is equal in length to side XZ, and side BC is equal in length to side YZ. Additionally, we know that angle A is equal in measure to angle X, angle B is equal in measure to angle Y, and angle C is equal in measure to angle Z.

Therefore, all of the statements in the original question are always true when △ABC ≅ △XYZ because congruence means that all corresponding sides and angles of the two triangles are equal.

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Answer:

This is a negative slope.

Step-by-step explanation:

When plotting the numbers on a graph, the slope goes downhill from left to right.

Answer:

In the pic

Step-by-step explanation:

If you have any questions about the way I solved it, don't hesitate to ask me in the comments below ;)

Answer:

x=2

Step-by-step explanation:

(7^ (1/2))ˣ = 7¹

1/2 *x =1

x =2

Answer:

the bottom one

Step-by-step explanation:

pls mark brainliest

Answer:

The second graph.

Answer:

21

Step-by-step explanation:

Since the girls have the same age, let their age be x.
Then, their average is

\(\frac{x+x}{2} = \frac{2x}{2} = x\)

Let \(S_{i}\) denote the age of 'i' girls.
Then, \(S_{8} = S_{6} + x + x - eq(1)\)

Also, we have,

\(\frac{S_{8}}{8} =15 - eq(2)\)

\(\frac{S_{6}}{6} =13 - eq(3)\)

Then eq(2):

(from eq(1) and eq(3))

\(\frac{S_{6} + 2x}{8} =15\\\\\frac{13*6 + 2x}{8} = 15\\\\78+2x = 120\\\\2x = 120-78\\\\x = 21\)

The average of the other two girls with equal age​ is 21

The number that corresponds to the null hypothesis and the alternative hypothesis will be 3 and 6 respectively.

Specify the correct number from the list below that corresponds to the appropriate null and alternative hypotheses for this problem.

It should be noted that the null hypothesis suggests that there's no statistical relationship between the variables.

The alternative hypothesis is different from the null hypothesis as it's the statement that the researcher is testing.

In this case, the number that corresponds to the null hypothesis and the alternative hypothesis will be 3 and 6 respectively.

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Answer:

-12x

Step-by-step explanation:

6x+(-12x/2)+(-24x/2)

=6x+(-6x)+(-12x)

=6x-6x-12x

=-12x

Answer: you get 72 from multiplying the width plus length so there is your real answer

In order to decide the best study locations, the researchers must determine which study location is the most suitable for each student. This ensures that students are able to learn effectively and have the best chance of succeeding.

A randomized study location experiment will help researchers find out which study locations are best suited to each type of learner.

To decide study locations, the researcher should use an objective chance procedure, such as flipping a fair coin. The objective chance procedure will guarantee that each student has an equal chance of being assigned to a specific study location.

The researcher should ensure that both groups are matched as closely as possible in terms of characteristics that may be relevant to study success, such as ACT scores, GPAs, and socioeconomic backgrounds.

This guarantees that any variations in academic performance between the two groups are most likely due to differences in the study location and not to other external factors.

Therefore in order to decide the best study locations, the researchers must determine which study location is the most suitable for each student. This ensures that students are able to learn effectively and have the best chance of succeeding.

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Answer:

15ft/min

Step-by-step explanation:

Just divide 60 by 4 to find the average diving/per minute.

Answer:

15 ft/min

Step-by-step explanation:

Let x be the unknown

Since,

4 mins = 60 ft

1 min = x

cross-multiply

4 × x = 60 × 1

4x = 60

Divide both sides by the coefficient of the unknown

4x/4 = 60/4

x = 15

The probability that x will take on a value between 42 and 44 is 0.25.

The continuous uniform distribution's probability density function is:

f(x) = 1/(b - a), when a < x < b

     = 0, when x < a or x > b

The internal form of the continuous random variable x in this case ranges from 40 to 48. Next, P.D.F is

f(x) = 1/(48 - 40)

f(x) = 1/8

The probability that x will take on a value between 42 and 44 is:

P(42 ≤ x ≤ 44) = \(\int\limits^{44}_{42} \frac{1}{8}\, dx\)

P(42 ≤ x ≤ 44) = \(\frac{1}{8}[x]^{44}_{42}\)

P(42 ≤ x ≤ 44) = 1/8(44 - 42)

P(42 ≤ x ≤ 44) = 1/8(2)

P(42 ≤ x ≤ 44) = 1/4

P(42 ≤ x ≤ 44) = 0.25

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The angle between their courses is 42.02°.

It is important to first find the distance between them after the 2 hours of travel.

Recall the  formula:

speed = distance/time

Make distance the subject of the formula

distance = speed x time

For the oil tanker,

given the following:

speed = 32mph

time = 2hr

distance = 32 mph x 2 hours = 64 miles

For the cruise ship,

given the following:

speed = 46 mph,

time = 2 hr

distance = 46 mph x 2 hours = 92 miles

So after two hours of travel, the two vessels are 63 miles apart. This means that they are forming a triangle with the distance between them as the longest.

Now we need to find the angle between the two vessels' courses by using the Cosine rule:

Recall that

a² = b² + c² -2bc Cos A

Let C be the angle between the oil tanker and cruise ship

then we can rewrite the equation as:

c² = a² + b² -2bc Cos C

where

a = 64miles (distance of oil tanker)

b = 92miles (dsitance of cruise ship)

c = 63miles (distance between the vessels)

C = angle between the vessels

Plug in the values to the equation

63² = 64² + 92² - 2(64)(92) Cos C

3969 = 4096 + 8464 - 11776 Cos C

3969 = 12560 - 11776 Cos C

Collect like terms

3969 - 12560 = - 11776 Cos C

8591 = 11776 Cos C

Cos C = 8591/11776

Cos C = 0.7295

Apply the inverse Cosine formula

C = Cos⁻¹ (0.7295)

C = 42.02°

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Answer:

Here is question number one's perimeter and area.

The points you are giving are really low so I will just do one

The maximum profit will be realized by producing and selling 2.5 kilograms of whatchamacallits.

The maximum profit, in hundreds of dollars, will be $500.

To find the maximum profit, we need to first calculate the profit function P(x), which is the difference between the revenue and the cost functions:

P(x) = R(x) - C(x)
P(x) = 450x - (50x + 1000)
P(x) = 400x - 1000

To find the amount of kilograms that should be produced and sold to realize a maximum profit, we need to find the value of x that maximizes the profit function.

We can do this by taking the derivative of the profit function and setting it equal to zero:

P'(x) = 400
400 = 0

Since the derivative is a constant value, there is no critical point or inflection point. Therefore, the profit function is increasing at a constant rate, and the maximum profit will be achieved at the highest possible value of x.

To find that value, we can set the profit function equal to zero and solve for x:

P(x) = 400x - 1000 = 0
400x = 1000
x = 2.5

Therefore, the maximum profit will be realized by producing and selling 2.5 kilograms of whatchamacallits.

To find the maximum profit itself, we can substitute this value of x into the profit function:

P(2.5) = 400(2.5) - 1000 = 500

So the maximum profit, in hundreds of dollars, will be $500.

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The rational zero test is also known as the rational root test, and it is used to determine the potential root of a function.

(a) 1/2 is not a possible zero of the function

The function is given as:

\(f(x) =x^3 - 5x + \frac 25\)

For a function,

\(f(x) = px^n +......q\)

The list of possible roots is:

\(Roots = \pm\frac{Factors\ of\ q}{Factors\ of\ p}\)

Multiply both sides of \(f(x) =x^3 - 5x + \frac 25\) by 5

\(5f(x) = 5x^3 - 25x + 2\)

So, we have:

\(p= 5\)

\(q = 2\)

The factors are:

\(p =\pm 1, \pm 5\)

\(q =\pm 1, \pm 2\)

So, the possible roots are:

\(Roots = \pm\frac{1,2}{1,5}\)

Split

\(Roots = \pm1, \pm \frac 15, \pm 2, \pm \frac 25}\)

Hence, 1/2 is not a possible zero of the function

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The dimensions of the poster with the smallest area are as follows: The width is 20 cm, and the height is 16 cm.

To determine these dimensions, we need to consider the area of the printed material on the poster, which is fixed at 388 square centimeters. Let's assume the width of the printed material is x cm.

Since the side margins are each 2 cm, the total width of the poster (including the margins) becomes x + 2 cm + 2 cm = x + 4 cm.

Similarly, the total height of the poster is x + 4 cm as well because the top and bottom margins are both 4 cm.

To calculate the area of the entire poster, we multiply the width by the height: (x + 4 cm) * (x + 4 cm) = (x + 4)^2 cm^2.

According to the problem, the area of the printed material is 388 square centimeters. Therefore, we have the equation (x + 4)^2 cm^2 = 388 cm^2.

Solving this equation, we find x + 4 = 19 cm, which means x = 15 cm.

Hence, the dimensions of the poster, width is 15 cm + 4 cm = 19 cm, and the height is also 15 cm + 4 cm = 19 cm.

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Using the point-slope form of a linear equation, we obtained the equation of the tangent line y = 6x - 4.

To determine the equation of the tangent line to the curve f(x) = 2x³ at the point where x = 1 using first principles, we need to find the derivative of the function and then use it to calculate the slope of the tangent line.

Step 1: Find the derivative of f(x) = 2x³. The derivative represents the slope of the tangent line at any given point on the curve. Differentiating 2x³ with respect to x, we get:

f'(x) = d/dx (2x³) = 6x².

Step 2: Substitute x = 1 into the derivative to find the slope of the tangent line at that point:

f'(1) = 6(1)² = 6.

So, the slope of the tangent line at x = 1 is 6.

Step 3: Now, we have the slope (m = 6) and a point on the curve (1, f(1)) = (1, 2(1)³) = (1, 2). Using the point-slope form of a linear equation, we can write the equation of the tangent line:

y - y₁ = m(x - x₁),

where (x₁, y₁) is the given point and m is the slope.

Substituting the values, we have:

y - 2 = 6(x - 1).

Simplifying the equation, we get:

y - 2 = 6x - 6,

y = 6x - 4.

Therefore, the equation of the tangent line to the curve f(x) = 2x³ at the point where x = 1 is y = 6x - 4.

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