Alexandra rolls a standard six-sided die, numbered from 1 to 6. Which word or
phrase describes the probability that she will roll an odd number?

The given statement "The classical model of decision making assumes that managers have all of the information they need in order to make the optimum decision." is false because it is not necessary that they have all information.

The classical decision-making model assumes that managers have access to all the relevant information, but it does not necessarily assume that they have all the information they need to make the optimum decision.

The model also assumes that the decision-maker is rational and logical, able to identify and evaluate all alternatives and select the best one based on a careful analysis of the pros and cons of each option. However, in practice, managers may not have access to all the information they need, or they may be influenced by biases or external pressures that can lead to suboptimal decision-making.

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Answer:

\(\frac{3}{5}\)th part of the bottle will be drunk by the calf.

Step-by-step explanation:

Part of the bottle fed by the piglet = \(\frac{1}{5}\)

Milk left in the bottle = 1 - \(\frac{1}{5}\)

                                  = \(\frac{5-1}{5}\)

                                  = \(\frac{4}{5}\)

Milk drunk by the calf = \(\frac{3}{4}\)th of the left part

                                     = \(\frac{3}{4}\times \frac{4}{5}\)

                                     = \(\frac{3}{5}\)th part of the bottle

Therefore, \(\frac{3}{5}\)th part of the bottle will be drunk by the calf.

Answer:

18.84 mm

Step-by-step explanation:

The side of the square is the diameter of the circle so to find the side of the square we just find the square root of 36 which is 6

And now to find the circumference we multiply 6 by 3.14 and that is equal to 18.84mm

Hopes this helps please mark beainliest

Answer:

Step-by-step explanation:

y = (x-3)²-1

This is the equation for an up-opening parabola with vertex (3,-1).

Find the x-intercepts:

0 = (x-3)²-1

(x-3)² = 1

x-3 = ±1

x = 4, 2

The graph crosses the x-axis at (4,0) and (2,0).

Find the y-intercept:

y = (0-3)²-1 = 8

The graph crosses the y-axis at (0,8).

Plot your four points (3,-1), (4,0), (2,0), (0,8). Draw an up-opening parabola through the points.

The final number is 176

Suppose a number is 'a'

Suppose another number is 'b'

We want to know how much percent of 'b' is 'a'.

Then, it is calculated as:

\(\dfrac{a}{b} \times 100\)

(in percentage)

7.Given;

Original price = $275

Resell price = $660

660-275=385

Percent markup= 385*100/275

=140%

9.Given;

The number 200 is increased by 20%

The result is then decreased by 20%

So, 20% increase of 200= 220

Now,20% less of 220=220-44

=176

Therefore, 20 percent decreased number will be 176

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The number of cases per batch that should be produced to minimize cost is: 300 units

The number of cases per batch that should be produced to minimize cost can be found by using the Economic Order Quantity.

The Economic Order Quantity (EOQ) is a calculation performed by a business that represents the ideal order size that allows the business to meet demand without overspending. The inventory manager calculates her EOQ to minimize storage costs and excess inventory.  

Thus:

Number of cases per batch = √((2 * Setup costs * annual demand)/ holding costs for the year)

Solving gives:

√((2 * 30 * 15000)/10)

= √90000

= 300 units

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Answer:

.19634954084 which is approximately .19

Step-by-step explanation:

Area of Circle: Pi(r^2)

Area of Square: L x W

Square: 28 x 28= 784

Circle: Pi(7^2)= 153.938040026

153.938040026 divided by 784 equals .19634954084, or approximately .19

Heritability is a statistic that quantifies the proportion of observed variance in a group of individuals that can be attributed to genetic variance.

Heritability is a fundamental concept in genetics and behavioral sciences that helps understand the extent to which genetic factors contribute to observed variations in a particular trait within a population. It measures the proportion of phenotypic variation (differences in traits) that can be explained by genetic variation. Heritability estimates range from 0 to 1, where a value of 0 indicates that all observed variation is due to environmental factors, and a value of 1 suggests that all observed variation is due to genetic factors.

To calculate heritability, researchers typically study populations with varying degrees of genetic relatedness, such as twins or family members. By comparing the similarity of traits between individuals with known genetic relatedness, it is possible to estimate the contribution of genetic factors to the observed variance. Environmental factors that contribute to phenotypic variation are considered as part of the non-genetic or "environmental" component.

It is important to note that heritability estimates are population-specific and apply only to the particular group being studied. Additionally, heritability does not provide information about specific genes or the precise mechanisms by which genetic factors influence traits. Nonetheless, heritability serves as a valuable tool in understanding the relative importance of genetic and environmental factors in shaping individual differences within a population.

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The average value of the function f(x) = (x + 2) on the interval [0, 3] is 7/2.

Calculate the definite integral of the function over the interval [a, b], then divide it by the interval's length (b - a), in order to determine the average value of a function f(x) over the interval.

Given that the interval is [0, 3] and the function f(x) = (x + 2), we have:

= (1/3) × [1/2 x² + 2x] evaluated from x=0 to x=3

= (1/3) × [(1/2 × 3² + 2×3) - (1/20² + 20)]

= (1/3) × [(9/2 + 6) - 0]

= (1/3) × (21/2)

= 7/2

Therefore, the average value of the function f(x) = (x + 2) on the interval [0, 3] is 7/2.

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Answer:

To calculate how many standard deviations away from the mean an ACT score of 31 is, we need to use the formula:

z = (x - μ) / σ

Where:

x = ACT score of 31

μ = mean of ACT scores (28)

σ = standard deviation of ACT scores (2)

z = number of standard deviations away from the mean

Substituting the values, we get:

z = (31 - 28) / 2

z = 1.5

Therefore, an ACT score of 31 is 1.5 standard deviations away from the mean.

The matrix equation has no solution because the same matrix of equal magnitude and opposite in nature is been added to it.

Given to us

A + [11   17   -8    13] = [0   0   0   0]

We know that the given matrix will give values as zero if the same matrix is been deducted from it, therefore,

A + [11   17   -8    13] = [0   0   0   0]

A = [0   0   0   0] - [11   17   -8    13]

A = [-11   -17   +8    -13]

Thus, the matrix is equal to [-11   -17   +8    -13].

The matrix equation has no solution because the same matrix of equal magnitude and opposite in nature is been added to it, therefore, [11   17   -8    13] is been added to it.

Thus, the sum of the two matrices has no solution.

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The matrix equation has no solution because the same matrix of equal magnitude and opposite in nature is been added to it.

Answer:

Step-by-step explanation:

x^-n = 1/x^n

The negative exponent means means raise the reciprocal to the nth power

Answer:

Sis

Step-by-step explanation:baka

Answer:

x = 1.6  rads

Step-by-step explanation:

                                  In radian format:

Length of arc =  \(x r\) ..........where x is the angle and r is radius.

Here the length of arc is 14 inches and radius given 9 inches

  using the formula:

Answer:

If your answer choices are:

0.01d + 0.10p

0.10d + 0.01p

0.11dp

0.11d + p

A dime is 10% of a dollar and a penny is 1% of a dollar, or 0.10 and 0.01

Then 0.10d + 0.01p is the expression

Hope this helps!

Answer:

Step-by-step explanation:

From the given information:

Social security taxes can be calculated as:

$128,400 - $128,120

= $280

Also, we know that the current monthly salary = $13, 400

So, social security tax is withheld by $280

This implies that:

Social security taxes = 280 × 0.062

= $17.36

The medical care taxes will now be:

= $13,400 × 1.45%

= $194.30

Using the percentage method to calculate the federal income tax; we have:

Use the tax bracket from 2017, marginal tax rate = 28%

∴

federal income tax = $13400 × 0.028

federal income tax = $3752

Let's call the original productivity "P1" and the new productivity "P2".

P1 = 120 boxes / 30 hours = 4 boxes/hour

P2 = 220 boxes / 30 hours = 7.33 boxes/hour

The unit increase in productivity is P2 - P1 = 7.33 - 4 = 3.33 boxes/hour

The percentage increase in productivity is (P2 - P1) / P1 * 100% = (3.33 / 4) * 100% = 83.25%.

So, we conclude that original productivity of boxes is 4 boxes/ hour,  the new productivity is 7.33 boxes/hour, the unit increase in productivity is 3.33 boxes/hour, and the percentage increase in productivity is 83.25%.

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_______ The given question is incomplete, the complete question is given below:-

Chuck Sox makes wooden boxes in which to ship

motorcycles. Chuck and his three employees invest a total of 30

hours per day making the 120 boxes.

1) What is their productivity?

2) Chuck and his employees have discussed redesigning the process

to improve efficiency. If they can increase the rate to 220 boxes

per day, what will be their new productivity?

3) What will be their unit increase in productivity per hour?

4) What will be their percentage change in productivity?

To summarize, the equivalent expression to the cube root of 343 multiplied by 9 to the power of y and 12 to the power of z and 6 is 7 x 9y x 12z x 2 x 3.

To find the equivalent expression to the cube root of 343 multiplied by 9 to the power of y and 12 to the power of z and 6, we can simplify the expression as follows:

1. The cube root of 343 can be simplified to 7 because 7 x 7 x 7 equals 343.

2. We can rewrite 9 to the power of y as 9y.

3. We can rewrite 12 to the power of z as 12z.

4. We can rewrite 6 as 2 x 3.

Putting it all together, the equivalent expression is 7 x 9y x 12z x 2 x 3.

To summarize, the equivalent expression to the cube root of 343 multiplied by 9 to the power of y and 12 to the power of z and 6 is 7 x 9y x 12z x 2 x 3.

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Answer:

It should be 235.5

Step-by-step explanation:

The answer of the function found to be x = −4 and x = 2,  with M = 38.

We must consider the function,

f (x) = x³ + 6x² + 6

Over the interval  

-5 \(\leq\) x \(\leq\) 2

To obtain the extrema we start from the function's derivative.

f' (x) = 3x² + 12x

Equating it to 0,

f' (x) = 0 = 3x(x +4) = 0

We arrive at two solutions,

x1 = 0,     x2 = -4   both inside the interval.

Evaluating the function at the stationary points,

f (x1) = 6

f (x2) = (-4)³ + 6 . (-4)² + 6 = -64 + 96 + 6 = 38

These values must be compared to that of the function at the interval frontiers,

f (-5) = (-5)³ + 6 . (-5)² + 6 = -125 + 150 + 6 = 31

f (2) = 2³ + 6 . 2² + 6 = 38

Comparing the results we can conclude that the function attains its absolute minimum at,

x = 0,      m = 6

Meanwhile, the absolute maximum is attained at the points,

x = −4 and x = 2,  with M = 38.

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A line is a one-dimensional shape that is straight. The length of the line segment AC is 53 mm.

A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely.

For the given problem, the diagram can be made as shown below. Since the length of the complete line segment, AB is 7.8 cm(78 mm). While the length of the line segment BC is 25 mm. therefore, the length of AC is the difference between the length of the two line segments.

AC = AB - BC

AC = 78 mm - 25 mm

AC = 53 mm

Hence, the length of the line segment AC is 53 mm.

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Answer:

2 nonreal solutions

Step-by-step explanation:

given a quadratic equation in standard form

ax² + bx + c = 0 (a ≠ 0 )

then the nature of the roots are determined by the discriminant

b² - 4ac

• if b² - 4ac > 0 then 2 real and irrational solutions

• if b² - 4ac > 0 and a perfect square then 2 real and rational solutions

• if b² - 4ac = 0 then 2 real and equal solutions

• if b² - 4ac < 0 then no real solutions

5x² - 2x + 6 = 0 ← in standard form

with a = 5 , b = - 2 , c = 6

b² - 4ac

= (- 2)² - (4 × 5 × 6)

= 4 - 120

= - 116

since b² - 4ac < 0

then there are 2 nonreal solutions to the equation

Step-by-step explanation:

the graph should look something like this

Answer:

x = 21

Step-by-step explanation:

1. Write the equation

(18 + 2x) ÷ 5 = 12

2. Multiply both sides by 5

18 + 2x = 60

3. Subtract 18 from both sides

2x = 42

4. Solve for x by dividing both sides by 2

x = 21

Answer:

the equation is 18+2x/5 =12

Step-by-step explanation:

now

18+2x= 60

or 2x= 60-18

or 2x= 42

or x=21

so the no is 21 (ans)

thank u

Answer:

The slope of the lines is 1/3

Step-by-step explanation:

Since I can't graph it, I can make a table

x         y

8        5

2        3

From 5 to 3, you subtract 2 (this is for the y section)

From 8 to 2, you subtract 6 (this is for the x section)

Now all you have to do is divide y by x....

y/x = 2/6 = 1/3 (when simplified)

Hope this helped!

To determine the coordinate of point P after the described rotations, let's go step by step.

First, the point P(3, 5) is rotated 180 degrees clockwise about the point A(3, 2). To perform this rotation, we need to find the vector between the center of rotation (A) and the point being rotated (P). We can then apply the rotation matrix to obtain the new position.

Let \(\vec{AP}\) be the vector from A to P. We can calculate it as follows:

\(\vec{AP} = \begin{bmatrix} 3 \\ 5 \end{bmatrix} - \begin{bmatrix} 3 \\ 2 \end{bmatrix} = \begin{bmatrix} 0 \\ 3 \end{bmatrix}\).

Now, we can apply the rotation matrix for a 180-degree clockwise rotation:

\(\begin{bmatrix} x' \\ y' \end{bmatrix} = \begin{bmatrix} \cos(\theta) & -\sin(\theta) \\ \sin(\theta) & \cos(\theta) \end{bmatrix} \begin{bmatrix} x \\ y \end{bmatrix}\),

where \(\theta\) is the angle of rotation in radians. Since we want to rotate 180 degrees, we have \(\theta = \pi\).

Applying the rotation matrix, we get:

\(\begin{bmatrix} x' \\ y' \end{bmatrix} = \begin{bmatrix} \cos(\pi) & -\sin(\pi) \\ \sin(\pi) & \cos(\pi) \end{bmatrix} \begin{bmatrix} 0 \\ 3 \end{bmatrix} = \begin{bmatrix} -1 & 0 \\ 0 & -1 \end{bmatrix} \begin{bmatrix} 0 \\ 3 \end{bmatrix} = \begin{bmatrix} 0 \\ -3 \end{bmatrix}\).

The new position of P after the first rotation is P'(0, -3).

Next, we need to rotate P' (0, -3) 90 degrees counterclockwise about the point B(1, 1).

Again, we calculate the vector from B to P', denoted as \(\vec{BP'}\):

\(\vec{BP'} = \begin{bmatrix} 0 \\ -3 \end{bmatrix} - \begin{bmatrix} 1 \\ 1 \end{bmatrix} = \begin{bmatrix} -1 \\ -4 \end{bmatrix}\).

Using the rotation matrix, we rotate \(\vec{BP'}\) by 90 degrees counterclockwise:

\(\begin{bmatrix} x'' \\ y'' \end{bmatrix} = \begin{bmatrix} \cos(\theta) & -\sin(\theta) \\ \sin(\theta) & \cos(\theta) \end{bmatrix} \begin{bmatrix} x' \\ y' \end{bmatrix}\),

where \(\theta\) is the angle of rotation in radians. Since we want to rotate 90 degrees counterclockwise, we have \(\theta = \frac{\pi}{2}\).

Using the rotation matrix, we get:

\(\begin{bmatrix} x'' \\ y'' \end{bmatrix} = \begin{bmatrix} \cos \left(\frac{\pi}{2}\right) & -\sin\left(\frac{\pi}{2}\right) \\ \sin\left(\frac{\pi}{2}\right) & \cos\left(\frac{\pi}{2}\right) \end{bmatrix} \begin{bmatrix} -1 \\ -4 \end{bmatrix} = \begin{bmatrix} 0 & -1 \\ 1 & 0\end{bmatrix} \begin{bmatrix} -1 \\ -4 \end{bmatrix} = \begin{bmatrix} 4 \\ -1 \end{bmatrix}\).

The final position of P after both rotations is P''(4, -1).

Therefore, the coordinate of point P after the rotations is (4, -1).