David Morgan, the city manager of Yukon, Oklahoma, must negotiate new contracts withboththe firefighters and the police officers. He plans to offer bothgroups a 7% wage increase and hold firm. Mr. Morgan feels that there is one chance in three that the firefighters will strike and one chance in seven that the police will strike. Assume that the events are independent.(a) What is the probability that bothwill strike?(b) What is the probability that neither the police nor the firefighters will strike?(c) What is the probability that the police will strike and the firefighters will not?(d) What is the probability that the firefighters will strike and the police will not?

Answer:

B. (1, -3)

Step-by-step explanation:

When you dilate from the origin (0, 0) by a scale factor of 1/2, multiple each coordinate point by 1/2.

(2, -6)

2 × 1/2 = 1

-6 × 1/2 = -3

(1, -3)

I hope this helps :))

Answer:

The answer is (1,-3)

Step-by-step explanation:

I took the test :)

Answer:

0=−2

Step-by-step explanation:

Step-by-step explanation:

Probability of A  is  10 + 5  =15

Probability of B is   9 + 5   ( but you already counted the '5')  

 so just count   9

9+ 15 = 24

  this is  24 out of     16 + 10 + 5 + 9 = 40

      or    24/40   which reduces to 3/5   or  .6   or  60%

Using the equation given:

P(A) + P(B) - P(A and B)

  15  + 14    - 5    = 24       this is out of the entire number 40

               24/40 = same as above

Answer:

Rate is 1.1333 words per second

Step-by-step explanation:

We understand rating as frequency or speed of doing something per time (seconds mainly)

\({ \green{ \tt{rate = \frac{item \: quantity}{time} }}} \\ \)

Let's find rate in terms of seconds (words per second)

\({ \rm{rate = \frac{34 \: words}{ (\frac{1}{2} \times 60) \: seconds} }} \\ \\ { \rm{rate = \frac{34}{30} }} \\ \\ { \rm{rate = 1.133 \: \: words \: per \: second}}\)

Answer:

B. Between 200 and 400

Step-by-step explanation:

Rule of exponents means that you can subtract when they are divided

-5+7=2

7.8*10^2/3.1

Simplify

780/3.1= 251.612903

Answer:

40 feet

Step-by-step explanation:

You have to add the 30 feet above to the 10 feet below to get 40

Substituting the value of \( r \), we get \( V \approx 1105.4 \) mm³. Finally, dividing the mass of the ball-bearing (11.9 g) by its volume (1105.4 mm³) and converting the units, we can determine the density in g/cm³. The density is approximately 0.0108 g/cm³.

To explain the process in more detail, we start by finding the radius of the ball-bearing using the circumference formula. The circumference is given as 43.4 mm, so dividing it by 2π gives us the radius of approximately 6.912 mm.

Next, we calculate the volume of the sphere using the formula \( V = \frac{4}{3}\pi r^3 \). Plugging in the radius value, we obtain the volume of the metal ball-bearing as approximately 1105.4 mm³.

To calculate the density, we divide the mass of the ball-bearing (11.9 g) by its volume (1105.4 mm³). However, to obtain the density in g/cm³, we need to convert the volume from mm³ to cm³ by dividing it by 1000. After performing the division and conversion, we find the density of the metal ball-bearing to be approximately 0.0108 g/cm³.

Density is a fundamental property of matter that describes how much mass is contained within a given volume. In this case, it allows us to understand the mass-to-volume ratio of the metal ball-bearing. By calculating the density, we can characterize the compactness or heaviness of the material.

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The density of the metal in the ball-bearing is approximately 10.981 g/cm^3.

To find the density of the metal in g/cm^3, we need to calculate the volume of the metal ball-bearing and divide it by its mass.

Given information:

Circumference of the ball-bearing = 43.4 mm

Weight of the ball-bearing = 11.9 g

To calculate the volume of the ball-bearing, we need to find its radius (r). We can use the formula for the circumference of a circle:

Circumference = 2πr

Substituting the given circumference

43.4 mm = 2πr

To find the radius, divide both sides by 2π:

r = 43.4 mm / (2π) ≈ 6.9134 mm

Next, let's convert the radius to centimeters:

r = 6.9134 mm / 10 ≈ 0.69134 cm

Now we can calculate the volume of the ball-bearing using the formula for the volume of a sphere:

V = (4/3)πr^3

Substituting the radius:

V = (4/3)π(0.69134 cm)^3

Calculating this expression:

V ≈ 1.083 cm^3

Finally, to find the density, we divide the mass by the volume:

Density = Mass / Volume

Density = 11.9 g / 1.083 cm^3

Calculating this expression:

Density ≈ 10.981 g/cm^3

Therefore, the density of the metal in the ball-bearing is approximately 10.981 g/cm^3.

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Answer:

The answer would be B one solution

Hope this helps

Strategies such as fast-tracking, crashing, prioritization, and resource optimization can be employed to reduce the project completion time by 5 weeks.


To reduce the completion time of the project by 5 weeks, we need to analyze the provided information and make appropriate adjustments. The initial completion time of the project is 25 weeks.

To achieve a reduction of 5 weeks, we can consider several strategies:

1. Fast-tracking: This involves overlapping or parallelizing certain project activities that were initially planned to be executed sequentially. By identifying tasks that can be performed concurrently, we can potentially save time. However, it's important to evaluate the impact on resource allocation and potential risks associated with fast-tracking.

2. Crashing: This strategy focuses on expediting critical activities by adding more resources or adopting alternative approaches to complete them faster. By compressing the schedule of critical tasks, we can reduce the overall project duration. However, this may come at an additional cost.

3. Prioritization: By reevaluating the project tasks and their priorities, we can allocate resources more efficiently. This ensures that critical activities receive higher attention and are completed earlier, resulting in an accelerated project timeline.

4. Resource optimization: Analyzing the resource allocation and identifying potential areas for optimization can lead to time savings. By ensuring that resources are utilized effectively and efficiently, we can streamline the project execution process.

It's important to note that implementing any of these strategies requires careful evaluation, considering factors such as project constraints, risks, cost implications, and stakeholder agreements. A comprehensive analysis of the project plan, resource availability, and critical path can guide the decision-making process for reducing the project completion time.

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Answer:

True

Step-by-step explanation:

A rate is a special ratio in which the two terms are in different units. For example, if a 12-ounce can of corn costs 69¢, the rate is 69¢ for 12 ounces. This is not a ratio of two like units, such as shirts. This is a ratio of two unlike units: cents and ounces

it should be true. Let me know if I'm incorrect.

Answer:

I'm not the greatest at math but I'll see if I can get this right.

I'm super sorry if this is wrong

The output of this code will be a signal that starts at zero and gradually increases to three. After five seconds, the signal starts decreasing to zero, with an exponential decay rate. The output plot will look like a ramp that rises linearly and falls exponentially after five seconds.

The term "son of a mention" is not familiar in mathematics. The correct term might be "son of a gun" or "son of a function."A differential equation used to model your specific engineering course is called an engineering differential equation. Such equations are used to predict, control, and monitor various physical processes, ranging from the dynamics of mechanical systems to the motion of fluids and gases, and electrical and electronic circuits. It's essential to know the form of the differential equations, the initial and boundary conditions, and the physical meaning of the parameters to use them effectively in modeling physical systems.

The following MATLAB code represents a simple for loop with a nested if-else statement and a plotting command. The code generates a signal with two segments: a rising ramp from zero to three and a falling ramp from three to zero. The signal has a total duration of 10 seconds, a sampling interval of 0.05 seconds, and a plotting delay of 0.002 seconds.

01 t=0 02 while t<10 03

if

(t<5) 04 y=3*(1-exp(-t)); 05 else if

(t>=5) 06 y=3*exp(-t+5); 07 ends 08 end 09

t = t + 0.05 10 pauses (0.002)

The output of this code will be a signal that starts at zero and gradually increases to three. After five seconds, the signal starts decreasing to zero, with an exponential decay rate. The output plot will look like a ramp that rises linearly and falls exponentially after five seconds.

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The mean of samples 10, 10, 10, 10, 10, and 16 will be 11.

The mean is the straightforward meaning of the normal of a lot of numbers. In measurements, one of the markers of focal propensity is the mean. The normal is alluded to as the number-crunching mean. It's the proportion of the number of genuine perceptions to the absolute number of perceptions.

In a sample of n = 6, five individuals all have scores of x = 10 and the sixth person has a score of x = 16.

Then the data set will be given below.

10, 10, 10, 10, 10, 16

Then the mean of the data set will be

Mean = (10 + 10 + 10 + 10 + 10 + 16) / 6

Mean = 66/6

Mean = 11

Thus, the mean of the sample will be 11.

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Answer:

x ≥ 3

Step-by-step explanation:

Two times a number = 2x

Plus one = + 1

At least 7 = ≥ 7

Algebraic Equation: 2x + 1 ≥ 7

2x + 1 ≥ 7    \(\longmapsto\)  Subtract 1 from both sides

2x + 1 - 1  ≥ 7 - 1

2x ≥ 6      \(\longmapsto\)     Divide both sides by 2

2x ÷ 2 ≥ 6 ÷ 2

x ≥ 3

-Chetan k

Answer: 23x3y

step 1 ((2 • (x2)) • (y3)) • 22xy(-2)

step 2 (2x2 • y3) • 22xy(-2)

step 3 3.1 x2 multiplied by x1 = x(2 + 1) = x3

3.2 y3 multiplied by y(-2) = y(3 + (-2)) = y1 = y

Multiplying exponents:

3.3 21 multiplied by 22 = 2(1 + 2) = 23

Answer: 40

Step-by-step explanation: 50x0.8=40

Okay, maybe im wrong? But i dont see how its 4 thats more than half.

Rodger can do 46 pushups.

50 * 0.92 = 46

Edit: To better clarify, 0.92 is from 1.00 - 0.08.  

... 8 percent fewer than 100 percent is 92 percent; 1.00 - 0.08 = 0.92

Keep in mind that:

1.00 = 100%

0.08 = 8%

0.92 = 92%

After finding this you may multiply 50 * 0.92 to get 46.

The Inequality representing money she can still spend on her friend birthday gift is .

Jordan can still spend at most $30 on her friends birthday gift.

Step-by-step explanation:

Given:

Total money need to spend at most = $45

Money spent on Yoga ball = $15

We need to find how much money she can still spend on her friend birthday gift.

Solution:

Let the money she can still spend on her friend birthday gift be 'x'.

So we can say that;

Money spent on Yoga ball plus money she can still spend on her friend birthday gift should be less than or equal to Total money need to spend.

framing in equation form we get;

The Inequality representing money she can still spend on her friend birthday gift is .

On solving the the above Inequality we get;

we will subtract both side by 15 using subtraction property of Inequality.

Hence Jordan can still spend at most $30 on her friends birthday gift.

The value of the test statistic is -1.5.

Test statistic:

A test statistic is a statistic used in statistical hypothesis testing. A hypothesis test is typically specified in terms of a test statistic, considered as a numerical summary of a data set that reduces the data to one value that can be used to perform the hypothesis test.

The formula for test statistic:

Test statistic = z = \(\frac{P - P_{0} }{\sqrt{\frac{P_{0( 1 -P_{0} } }{n} } }\)

A sample of patients n = 150

Patients insured =x = 75

P = x/n

  = 75/ 150

  = 1/2

  = 0.5

\(P_{0}\) = 56/100

    = 0.56

Putting the values we get:

z = \(\frac{0.5 - 0.56}{\sqrt{\frac{0.56( 1- 0.56)}{150} } }\)

  = \(\frac{-0.06}{\sqrt{0.00164} }\)

  =   \(\frac{-0.06}{0.04}\)

  = - 1.5

Therefore the test statistic is -1.5.

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To find the best predicted value of y (attractiveness rating by female of male) for a date where the male's attractiveness rating of the female is x = 8, we can use the given regression equation:

y = 7.88 - 0.300x

Substituting x = 8 into the equation, we have:

y = 7.88 - 0.300(8)

y = 7.88 - 2.4

y = 5.48

Therefore, the best predicted value of y for a date with a male attractiveness rating of x = 8 is y = 5.48.

However, it's important to note that the regression equation and the predicted value are based on the given data and regression analysis. The significance level of 0.10 indicates the confidence level of the regression model, but it does not guarantee the accuracy of individual predictions.

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According to the Ricardian model, the difference in technology among nations causes output per worker in each country to differ.

The model is limited in several ways: 1. Having only 1 factor of production is way too simplistic a view of manufacturing. 2. In real world, almost no country produces only the goods in which they have a comparative advantage.

The Ricardian model assumes that labour is the only factor of production. Under this assumption, the only possible source of comparative advantage is differences between countries in labour productivity.

An important criticism leveled against Ricardian theory of rent concerns the relation between rent and price. According to Ricardo, price determines rent. The higher the price of corn, the higher will be the rent. The price of corn is determined by the cost of producing corn on the marginal land which is rent-free.

Therefore,

According to the Ricardian model, the difference in technology among nations causes output per worker in each country to differ.

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Using the Euclidean algorithm, we can find the greatest common divisor (GCD) of 280 and 588. By repeatedly dividing the larger number by the smaller number and taking the remainder, we can determine the GCD.

To find the GCD of 280 and 588, we start by dividing the larger number, 588, by the smaller number, 280:

588 ÷ 280 = 2 remainder 28

Next, we divide 280 by the remainder, 28:

280 ÷ 28 = 10 remainder 0

Since the remainder is now 0, we stop the algorithm. The last nonzero remainder, 28, is the GCD of 280 and 588.

Therefore, the GCD of 280 and 588 is 28.

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Answer:

x=-5

Step-by-step explanation:

-5+2=(-3)

-3*(-1)= 3

Answer:

x=-5

Step-by-step explanation:

(x+2)/-1 = 3

Multiply each side by -1

(x+2)/-1 * -1 = 3*-1

x+2 = -3

Subtract 2 from each side

x+2-2 = -3-2

x = -5

Answer: 140

Step-by-step explanation:

A^2+B^2=C^2

40^2+42^2=X^2

1,600+1,764=X^2

3,364=X^2

\(\sqrt{3,364}\)= X^2

58=x

Last-

40+42+58=140

Answer:

Step-by-step explanation:

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2 x 10² kcal are in the serving report your answer to 2 significant figures.

According to the question

A serving of fish contains 50 g of protein and 4. 0 g of fat.

i.e. content of protein = 50 g

Content of fat = 4 g

kcal are in the serving report your answer to 2 significant figures:

As the serving of fish contains 50g of protein that is 4.0kcal/g

Calories in 50 g protein = (Content of protein) × (caloric value in protein)

50g × (4.0kcal/g) = 200kcal

That means the kcal of the serving is 200kcal

In 2 significant figures: 2 x 10² kcal

Hence,

2 x 10² kcal are in the serving report your answer to 2 significant figures.

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The likelihood that exactly 13 students will pursue arts in the coming year is 76.47%.

So, to find the probability:

Given:

We now want to calculate the likelihood that 13 students will pursue arts in the following year.

That is,

Therefore, the likelihood that exactly 13 students will pursue arts in the coming year is 76.47%.

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Answer:

False

Step-by-step explanation:

82 - 21 + 10 = 61 is false 82 - 21 + 10 = 71

Answer:

Annalise is correct because the outputs are closest when x = 1.35

Step-by-step explanation:

The solution to the equation 1/(x-1) = x² + 1 means the one x value that will make both sides equal. If we look at the table, notice how when x = 1.35, f(x) values are closest to each other for both equations, signifying that x = 1.35 is approximately the solution. Thus, Annalise is correct.

Answer:

1) 25

2) 2

3) f(g(1)) = 42

Step-by-step explanation:

1) Given that f(x) = 4x^2  + 9

If x = -2

f(-2) = 4(-2)^2 + 9

f(-2) = 4(4) + 9

f(-2) = 16 + 9

f(-2) = 25

2) Given that f(x) = 4x - 6

y = 4x - 6

Replace y  with x

x = 4y - 6

MAke y the subject of the forfmula

4y = x+ 6

y = (x+6)/4

SInce x = 2

f^(-1)(2) = (2+6)/4

f^(-1)(2) = 8/4 = 2

3) If f(x) = 6x and g(x) = x+6

f(g(x)) = f(x+6)

f(x+6) = 6(x+6)

Since x = 1

f(g(1)) = 6(1+6)

f(g(1)) = 6(7)

f(g(1)) = 42

Answer: If a kangaroo hops 9km in 3 minutes, that means he runs 3km every minute, which we can multiply by 2 in order to get 6km in the first 2 minutes. [EXTRA: In one hour, the kangaroo can hop 180km, which means his top speed is 180km/h without accounting for fatigue]

Step-by-step explanation: a