As a company manager for the quick money business there is a 0. 40 probability that you will be promoted this year. There is a 0. 72 probability that you will get a promotion or a raise. The probability of getting a promotion and a raise is 0. 25. What is the probability of getting a raise?.

The image attached with the solution represents the polygon with 12 edges and 12 vertices. The straight green line represents the edges and red circles represents the vertices in the polygon.

What is a polygon?

The image attached with the solution represents the polygon with 12 edges and 12 vertices. The straight green line represents the edges and red circles represents the vertices.

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A work breakdown structure (wbs) shows tasks, dates, and dependencies. The given statement is false.

In project management and systems engineering, a work-breakdown structure is a deliverable-focused division of a project into more manageable parts. A essential project deliverable that divides the team's work into digestible chunks is a work breakdown structure.

A project's tasks are organized hierarchically in a work breakdown structure (WBS). The WBS "breaks down" a project's structure into doable deliverables. A project's tasks are organized hierarchically in a work breakdown structure (WBS).

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Answer:

18

Step-by-step explanation:

6 times 3=18

Answer:

18 degrees

Step-by-step explanation:

If it rose 3 degrees in 1/6 of a minute you just have to multiply 3*6=18

Because if 1/6=3     6/6=18

Answer:

z-355=x

2z-80=y

x+y+z=2425 ft

Step-by-step explanation:

Smallest Yosemite falls- x

Largest Yosemite falls-y

Middle Cascades Falls- z

Mike Mullin likes rock music, Jack Hardaway likes jazz music, Adele Richmond likes country music, Edna Higgins likes classical music.

Combinations, are the arrangements of objects where order does not matter. A combination is a selection of objects from a set, without regard to the order in which they are selected.

Let's start all the possible combinations of favorite music types and last names:

Jazz: Mullin, Hardaway, Richmond, Higgins

Classical: Mullin, Hardaway, Richmond, Higgins

Country: Mullin, Richmond, Higgins, Hardaway

Rock: Mullin, Richmond, Higgins, Hardaway

Now let's use the clues to eliminate some of these possibilities and determine each person's full name and favorite type of music:

1. Hardaway hates country music, so he can't be the country music fan. Therefore, Mullin and Higgins are the only possibilities for the country music fan.

2. The classical music lover said she’d teach Higgins to play the piano, so Higgins must be the classical music lover.

3. Adele and Richmond knew the country music fan in high school, so Richmond must be the country music fan (since Higgins is already accounted for and Mullin and Hardaway aren't options).

4. Jack and the man who likes rock music work in the same office building. This means Mullin must like rock music, since he's the only one left who hasn't been assigned a music type yet.

5. Richmond and Higgins are on the same women only bowling team. This means Adele must be the jazz music fan, since she's the only one left who hasn't been assigned a music type yet.

Therefore, I can conclude:

Mike Mullin likes rock music

Jack Hardaway likes jazz music

Adele Richmond likes country music

Edna Higgins likes classical music.

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Answer: $44.10

Step-by-step explanation:

We are given our p, r, t in the problem.

p=40 (starting amount)

r=0.05 (5%)

t=2 (years)

With the given information, we can plug this into our equation.

B=p(1+r)^t

B=40(1+0.05)^2

B=44.1

The required number of bananas and apples is given as 8 and 4 respectively.

Simultaneous linear equations are two- or three-variable linear equations that can be solved together to arrive at a common solution.

Here,
Let the number of bananas and apples be x and y,
According to the question,
x = 2y - - - - -(1)

0.5x + 2y = 12 - - - - -(2)

Draw the graph of both the line, in the graph we can see both equation intersection at point (8, 4) which is the required solution for the number of bananas and apples.

Thus, the required number of bananas and apples is given as 8 and 4 respectively.

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Answer:

lower left

Step-by-step explanation:

v+3<=6.5

v<=3.5

-18 is less than 3.5

Step-by-step explanation:

It can't be the first one because \(v=-18\) and were saying \(-v\) and to negatives make a positive so our equation is

\(18+3\) ≤\(-6.5\) which is incorrect

The one below the first one is incorrect

It's correct since our equation is

\(-18+3\leq 6.5\) which is correct

The top right one is correct because our equation is

\(18+3\leq 6.5\) which is incorrect

The one below that is correct because our equation is

\(-18+3\geq 6.5\) which is incorrect

Exponential smoothing is a popular forecasting technique used to predict future trends in time-series data. It works by assigning weights to historical data points, with more recent data points receiving higher weights. The level of smoothing is controlled by a smoothing parameter called alpha, which ranges between 0 and 1. As alpha increases, the influence of older data points decreases, and the model becomes more reactive to recent changes in the data.

When alpha is high, the exponential smoothing model group of answer choices tends to produce sluggish forecasts. This is because the model gives more weight to recent data points, which can cause it to overreact to short-term fluctuations in the data. As a result, the model may miss important trends or patterns in the data that would have been captured by a more balanced weighting scheme.

On the other hand, when alpha is low, the model tends to be more stable and less reactive to short-term changes in the data. This can be useful for predicting long-term trends or for smoothing out noisy data sets.

In summary, the choice of alpha in an exponential smoothing model depends on the characteristics of the data and the goals of the forecast. A high alpha value may be appropriate for short-term forecasting or for data sets with high volatility, while a low alpha value may be more suitable for long-term forecasting or for data sets with low volatility.

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The day-fine system solves the objection to the use of fines are unfair because more affluent offenders can buy their way out of prison while indigent offenders are unable to pay fines. (option c)

The objection that the day-fine system helps to solve is the difficulty in ensuring proportionality when imposing fines.  

The day-fine system addresses this objection by calculating fines based on the offender's daily income or financial means. By taking into account an individual's ability to pay, the day-fine system ensures that fines are proportional to the offense committed.

Lastly, fines have been criticized for their limited effectiveness in reducing recidivism and their potential link to increased involvement in future crimes. This objection questions the overall efficacy of fines as a deterrent and suggests that alternative approaches may be more successful.

While the day-fine system does not directly solve this objection, it offers a more equitable and proportionate approach to imposing fines. By addressing concerns related to proportionality and fairness, the day-fine system aims to enhance the effectiveness and legitimacy of fines as a punishment within the criminal justice system.

Hence the correct option is (c).

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Complete Question:

The day-fine system solves which objection to the use of fines?

a) It is difficult to ensure proportionality when imposing fines.

b) The collection of fines is expensive and creates administrative difficulties for the criminal justice system.

c) Fines are unfair because more affluent offenders can buy their way out of prison while indigent offenders are unable to pay fines.

d) Not only do fines not appear to reduce recidivism, they have been linked to increased involvement in future crime.

Answer:

ρ = (P-2w)/2

Step-by-step explanation:

The student did not complete the equation to solve for ρ.

ρ = (P - 2w)/2

Answer:

From what I see, the answer is graph D

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

These are the computed values of beta and p-value for the given alternative value p = 0.21 and sample sizes.

To compute the beta (β) for the given alternative value p = 0.21 and sample sizes n = 81, 900, 14,400, 40,000, and 90,000, we need to determine the probability of Type II error. Beta is the probability of failing to reject the null hypothesis (H₀) when the alternative hypothesis (Hₐ) is true.

To calculate beta, we need to find the corresponding z-value for the given significance level α = 0.01, which corresponds to a z-value of 2.33 (approximate value).

Using the formula for the standard deviation of the sample proportion:

σ = sqrt((p₀ * (1 - p₀)) / n)

where p₀ is the null hypothesis value, p = 0.2, and n is the sample size.

Then we can calculate the z-score for the alternative value p = 0.21 using the formula:

z = (p - p₀) / σ

Finally, we can compute beta using the standard normal distribution table or a statistical calculator.

Let's calculate beta for the given sample sizes:

For n = 81:

σ = sqrt((0.2 * (1 - 0.2)) / 81) ≈ 0.0447

z = (0.21 - 0.2) / 0.0447 ≈ 0.2494

beta = P(Z > 0.2494) ≈ 0.4013

For n = 900:

σ = sqrt((0.2 * (1 - 0.2)) / 900) ≈ 0.0143

z = (0.21 - 0.2) / 0.0143 ≈ 0.7692

beta = P(Z > 0.7692) ≈ 0.2206

For n = 14,400:

σ = sqrt((0.2 * (1 - 0.2)) / 14,400) ≈ 0.0071

z = (0.21 - 0.2) / 0.0071 ≈ 1.5493

beta = P(Z > 1.5493) ≈ 0.0606

For n = 40,000:

σ = sqrt((0.2 * (1 - 0.2)) / 40,000) ≈ 0.0050

z = (0.21 - 0.2) / 0.0050 ≈ 2.2000

beta = P(Z > 2.2000) ≈ 0.0139

For n = 90,000:

σ = sqrt((0.2 * (1 - 0.2)) / 90,000) ≈ 0.0033

z = (0.21 - 0.2) / 0.0033 ≈ 3.0303

beta = P(Z > 3.0303) ≈ 0.0012

Next, let's calculate the p-value for the alternative value P = 0.21 and sample sizes n = 81, 900, 14,400, and 40,000.

The z-score for the given P can be calculated using the formula:

z = (P - p₀) / σ

Using the standard normal distribution table or a statistical calculator, we can find the area under the curve beyond the calculated z-score to obtain the p-value.

For n = 81:

σ = sqrt((0.2 * (1 - 0.2)) / 81) ≈ 0.0447

z = (0.21 - 0.2) / 0.0447 ≈ 0.2494

p-value = P(Z > 0.2494) ≈ 0.4013

For n = 900:

σ = sqrt((0.2 * (1 - 0.2)) / 900) ≈ 0.0143

z = (0.21 - 0.2) / 0.0143 ≈ 0.7692

p-value = P(Z > 0.7692) ≈ 0.2206

For n = 14,400:

σ = sqrt((0.2 * (1 - 0.2)) / 14,400) ≈ 0.0071

z = (0.21 - 0.2) / 0.0071 ≈ 1.5493

p-value = P(Z > 1.5493) ≈ 0.0606

For n = 40,000:

σ = sqrt((0.2 * (1 - 0.2)) / 40,000) ≈ 0.0050

z = (0.21 - 0.2) / 0.0050 ≈ 2.2000

p-value = P(Z > 2.2000) ≈ 0.0139

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The bottom right graph should be correct.

Step-by-step explanation:

HOPE IT HELP

Answer:

No.

Explanation:

For example, √3 is irrational, but (√3)2 = 3, which is rational.

Hope this helps....

Answer:

-1

Step-by-step explanation:

cot 675  = cot (675 - 360)  =  cot 315 degreesthis angle is in the 4th quadrant where tan and cot  are negativecot 315 = 1 / tan 315 = - 1/ tan 45 =  =  -1

Answer:

\(y=3x-4\)

Step-by-step explanation:

Hi there!

Slope-intercept form: \(y=mx+b\) where m is the slope and b is the y-intercept (the value of y when x=0)

1) Determine the slope (m)

\(m=\displaystyle\frac{y_2-y_1}{x_2-x_1}\) where two points that fall on the line are \((x_1,y_1)\) and \((x_2,y_2)\)

On the graph, two points are highlighted for us: (0,-4) and (2,2). Plug these into the formula:

\(m=\displaystyle\frac{2-(-4)}{2-0}\\\\m=\displaystyle\frac{2+4}{2}\\\\m=\displaystyle\frac{6}{2}\\\\m=3\)

Therefore, the slope of the line is 3. Plug this into \(y=mx+b\):

\(y=3x+b\)

2) Determine the y-intercept (b)

\(y=3x+b\)

Recall that the y-intercept occurs when x=0. Given the point (0,-4), the y-intercept is therefore -4. Plug this into \(y=3x+b\):

\(y=3x+(-4)\\y=3x-4\)

I hope this helps!

Answer:

60 miles per hour

Step-by-step explanation:

Average speed = miles drove/ hours

=> 240/4

=> 60 miles per hour

Answer:

Jon drove 60 miles per hour.

Step-by-step explanation:

Since john drove 240 miles in 4 hours that means you need to divide 240 by 4, which is 60. An easier example can be 60 x 4.

The fraction of the height of Cleopatra's clock that is the height of Ptolemy's clock is 2/5

A cylinder is a three-dimensional shape that consists of two parallel circular bases connected by a curved lateral surface. The volume of a cylinder is the amount of space contained within the cylinder. It can be calculated using the formula:

Volume of cylinder = πr^2h

Let's denote the height and radius of Cleopatra's water clock as h_c and r_c, respectively, and the height and radius of Ptolemy's water clock as h_p and r_p, respectively. Since both clocks drain uniformly, we can use the formula for the volume of a cylinder to relate the height and radius of each clock to the time it takes to drain:

Volume of Cleopatra's clock =\(\mathrm{ \pi r_c^2h_c}\)

Volume of Ptolemy's clock = \(\mathrm{\pi r_p^2h_p}\)

Since Cleopatra's clock drains in 4 hours, the rate of draining is (Volume of Cleopatra's clock) / (4 hours), and similarly for Ptolemy's clock. We are given that after 2 hours of draining, both clocks have the same water height. Therefore, we can set the two rates of draining equal to each other and solve for the ratio of heights:

(Volume of Cleopatra's clock) / (4 hours) = (Volume of Ptolemy's clock) / (5 hours)

\(\pi r_c^2h_c / 4 = \pi r_p^2h_p / 5\)

\(h_c / h_p = (r_p / r_c)^2 \times (5 / 4)\)

We are not given the values of the radii, but we can see that the ratio of heights depends only on the ratio of the radii squared. Therefore, we don't need to know the actual sizes of the clocks, only the ratio of their radii. Let's call this ratio x:

\(x^2 = (h_c / h_p) \times(4 / 5)\)

After two hours of draining, the water height in both clocks is the same, so we can set the volume of water in each clock equal to each other:

\(\pi r_c^2(h_c - 2h_c/4) = \pi r_p^2(h_p - 2h_p/5)\)

\(\pi r_c^2h_c/2 =\pi r_p^2h_p/5*3\)

\(r_c^2h_c/2 = r_p^2h_p/15\)

Now, we can solve for the ratio of water heights after each clock has been draining for three hours:

Water height in Cleopatra's clock after 3 hours = \(\mathrm{h_c - (3/4)h_c = (1/4)h_c}\)

Water height in Ptolemy's clock after 3 hours = \(\mathrm{ h_p - (3/5)h_p = (2/5)h_p}\)

(\(h_p\)  / (2/5)\(h_p\) ) = ((1/4)\(h_c / h_c\))

(\(h_p\)  / (2/5)) = 1/4

\(h_p\) = 2/5 * 1/4

\(h_p\) = 1/10

Therefore, the fraction of the height of Cleopatra's clock that is the height of Ptolemy's clock is:

\(h_p / h_c\)= 1/10 / (1/4) = 2/5

And the fraction of the water height of Ptolemy's clock that is equal to the water height of Cleopatra's clock after each has been draining for three hours is:

\(h_c / (2/5)h_p\) = (1/4) / (2/5)(1/10) = (1/4) / (1/20) = 5/4

Hence,

The fraction of the height of Cleopatra's clock that is the height of Ptolemy's clock is: 2/5

The fraction of the water height of Ptolemy's clock that is equal to the water height of Cleopatra's clock after each has been drained for three hours is: 5/4.

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Answer:

9 : 25

Step-by-step explanation:

Given the ratio of the sides of 2 similar equilateral triangles = a : b , then

the ratio of their areas = a² : b²

Given ratio of sides = 3 : 5 , then

ratio of areas = 3² : 5² = 9 : 25

Answer: Let's represent the value of car 1 as x. Then, the value of car 2 is 3/4 of x, and the value of car 3 is 4/5 of the value of car 2.

So, we can write the following equations:

x = (3/4) * y

y = (4/5) * z

Where y is the value of car 2, and z is the value of car 3.

Adding all the values, we have:

x + y + z = 1115900

We can substitute the values of y and z in terms of x:

x + (3/4) * x + (4/5) * (3/4) * x = 1115900

Simplifying the expression on the left side, we get:

7/4 * x = 1115900

Finally, dividing both sides by 7/4, we get:

x = 359900

So, the value of car 1 is $359900, the value of car 2 is (3/4) * x = (3/4) * 359900 = 269925, and the value of car 3 is (4/5) * (3/4) * x = (4/5) * (3/4) * 359900 = 213140.

Step-by-step explanation:

Answer: the value of car 1 is $467125, the value of car 2 is $623033.33, and the value of car 3 is $350937.5.

Step-by-step explanation:

Let's call the value of car 1 "x".

From the first ratio, we know that the value of car 2 is 4/3 times greater than the value of car 1, and the value of car 3 is 3/4 times greater than the value of car 1.

So, the value of car 2 is 4/3 * x, and the value of car 3 is 3/4 * x.

From the second ratio, we know that the value of car 2 is 8/5 times greater than the value of car 3.

So, the value of car 2 is 8/5 * (3/4 * x) = 6/5 * x.

The total value of all three cars is $1115900, so we can set up an equation to solve for x:

x + 4/3 * x + 3/4 * x = 1115900

Expanding and simplifying the right side:

x + 4/3 * x + 3/4 * x = 1115900

8/3 * x = 1115900

x = 1115900 * 3 / 8

x = 467125

So, the value of car 1 is $467125, the value of car 2 is $623033.33, and the value of car 3 is $350937.5.

Answer:

23 purple marbles

115 yellow marbles

Step-by-step explanation:

Let y represent the yellow marble

Let p represent the purple marbles

So, we have the equations

y = 5p

Therefore, y + p = 138

5p + p = 138

6p = 138

p = 23 marbles

Now let's put 23 in for the p in the equation to find the number of yellow marbles

y = 5(23)

y = 115 marbles

Answer:

  210°

Step-by-step explanation:

You want the angle in standard position to the point (-√3, -1).

The angle θ in standard position to a point (x, y) can be found from ...

  tan(θ) = y/x

  θ = arctan(y/x)

The arctangent function gives an angle between -90° and +90°, so will give the value of the reference angle in this case. To find the angle in quadrant III, we must add 180° to the reference angle.

  θ = arctan(-1/-√3) + 180° = 210°

The angle shown is 210°.

__

Additional comment

If you draw a vertical line from the point to the x-axis, you have a right triangle with side lengths 1 and √3. You know from your memory of special right triangles that this is a 30°-60°-90° triangle, whose smallest angle is 30°. This is the reference angle, so the angle of interest is 180° +30° = 210°.

The values of displacement, velocity, and acceleration are 2.68 m, 2.24 m/s, and -18.07 m/s2 respectively.

We know that the amplitude, A = 2 + T; the angular velocity, ω = 4 + U rad/s; and time, t = 1s. Here, the value of T = 1 and the value of U = 4 (as mentioned in the question).

Harmonic motion is a motion that repeats itself after a certain period of time.

Harmonic motion is caused by the restoring force that is proportional to the displacement from equilibrium.

The three types of harmonic motions are as follows: Free harmonic motion: When an object is set to oscillate, and there is no external force acting on it, the motion is known as free harmonic motion.

Damped harmonic motion: When an external force is acting on a system, and that force opposes the system's motion, it is called damped harmonic motion.

Forced harmonic motion: When an external periodic force is applied to a system, it is known as forced harmonic motion.Vectorial formVibrations of harmonic motion can be represented in a vectorial form.

A simple harmonic motion is a projection of uniform circular motion in a straight line.

The displacement, velocity, and acceleration of a particle in simple harmonic motion are all vector quantities, and their magnitudes and directions can be determined using a coordinate system.

Let's now calculate the values of displacement, velocity, and acceleration.

Displacement, s = A sin (ωt)

Here, A = 2 + 1 = 3 (since T = 1)and, ω = 4 + 4 = 8 (since U = 4)

So, s = 3 sin (8 x 1) = 2.68 m (approx)

Velocity, v = Aω cos(ωt)

Here, v = 3 x 8 cos (8 x 1) = 2.24 m/s (approx)

Acceleration, a = -Aω2 sin(ωt)

Here, a = -3 x 82 sin(8 x 1) = -18.07 m/s2 (approx)

Thus, the values of displacement, velocity, and acceleration are 2.68 m, 2.24 m/s, and -18.07 m/s2 respectively.

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Answer:

a. yes

b. no

c. yes

d. yes

e. yes

f. no

Step-by-step explanation:

a regular polygon must be equiangular (all angles are same) and equilateral (all sides are same)

A. equilateral triangle, regular

B. is a rectangle and the sides of rectangle are not all equal, thus, not regular

C. octagon, regular

D. flipped pentagon, regular

E. square, regular

F. not normal pentagon, not regular

Answer:

a. yes  

b. no  

c. yes  

d. yes  

e. yes  

f. no

Step-by-step explanation:

a regular polygon must be equiangular (all angles are same) and equilateral (all sides are same)

A. equilateral triangle, regular

B. is a rectangle and the sides of rectangle are not all equal, thus, not regular

C. octagon, regular

D. flipped pentagon, regular

E. square, regular

F. not normal pentagon, not regular

Therefore, it will take approximately 13.7 years for the population to double.

a. To determine the growth rate, you need to calculate the percentage increase in population. The formula for growth rate is:

Growth Rate = (New Value - Old Value) / Old Value * 100

Using the given values, we have:

Growth Rate = (1577 - 1500) / 1500 * 100
Growth Rate = 77 / 1500 * 100
Growth Rate ≈ 5.13%

b. To write a general equation for the population, you can use the formula:

p(t) = p(0) * (1 + r/100)^t

where p(t) is the population at time t, p(0) is the initial population, r is the growth rate, and t is the number of years.

c. To estimate the population in 2010, we need to find the population at time t = 2010 - 2000 = 10 years. Using the general equation from part b, and substituting the given values:

p(10) = 1500 * (1 + 5.13/100)^10
p(10) ≈ 1500 * (1.0513)^10
p(10) ≈ 1500 * 1.6436
p(10) ≈ 2465.4

Therefore, the estimated population in 2010 is approximately 2465.

d. To find out how many years it will take for the population to double, we need to solve the equation:

2 * p(0) = p(0) * (1 + r/100)^t

Simplifying the equation, we have:

2 = (1 + r/100)^t

Taking the logarithm of both sides, we get:

log(2) = t * log(1 + r/100)

Finally, solving for t, we have:

t = log(2) / log(1 + r/100)

Substituting the growth rate from part a, we have:

t = log(2) / log(1 + 5.13/100)
t ≈ log(2) / log(1.0513)
t ≈ 13.7 years

Therefore, it will take approximately 13.7 years for the population to double.

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Answer:

M=-1/4

Step-by-step explanation:

Use the slope intercept form y=mx+b to find the slope m.

Answer:

The slope of the equation: y=-1/4x+7 is -1/4

The slope of the equation: y=-3x+5 is -3

Step-by-step explanation:

It is easier to think of the slope at the number behind the x variable. But algebraically, y=mx+b is the formula and the number that is in the value of m is the slope of the linear function.