Solve for x. Round to the nearest tenth, if necessary.

Yes, the union has the required 3 to 2 majority.

Given that a sample of the employees at the local market who would like to be represented by the union was found to be 74 out of 120. The fraction of employees in favor of the union is `74/120`.

This can be reduced to `37/60`. Therefore, the fraction of employees not in favor of the union is `1 - 37/60`.This is equal to `23/60`.

Therefore, the ratio of employees in favor of the union to employees against the union is `37:23`. This can be reduced to `3:2`.

Hence, the union has the required 3 to 2 majority.

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Table 1 is filled with option C, table 2 is filled with option A, B, and E, and table 3 is filled with option D.

There are six different shapes given in the questions.

We need to fill the table that is given in the question. The table is asked to segregate the figures into regular polygons, irregular polygons, and not polygon.

Therefore,

A regular polygon is only the option (C)

Irregular polygon is options A, B, and E.

Not a polygon is the only option (D)

Thus, table 1 is filled with option C, table 2 is filled with option A, B, and E, and table 3 is filled with option D.

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Step-by-step explanation:

for the perimeter you have to say two brackets live plus height plus with plastic

The value in degrees of tan⁻¹√3 can be found using a unit circle and 30°-60°-90° triangles. The main answer is that tan⁻¹√3 is equal to 60°.

To explain further, let's consider the unit circle and the trigonometric ratios associated with it. The tangent (tan) of an angle is defined as the ratio of the y-coordinate to the x-coordinate of the point where the terminal side of the angle intersects the unit circle.

In this case, we are looking for the angle whose tangent is √3. In a 30°-60°-90° triangle, the ratio of the length of the opposite side to the length of the adjacent side is √3. Since tangent is equal to the ratio of the opposite side to the adjacent side, we can conclude that tan⁻¹√3 is equal to the angle opposite the side with a length of √3 in the 30°-60°-90° triangle.

In the 30°-60°-90° triangle, the angle opposite the side with a length of √3 is 60°. Therefore, the value in degrees of tan⁻¹√3 is 60°.

Using the unit circle and the properties of the 30°-60°-90° triangle, we can determine the exact value of the angle whose tangent is √3. By understanding the ratios and relationships within these geometric configurations, we can identify that the corresponding angle is 60°.

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Answer:

three thousand one hundred and two

Step-by-step explanation:

Step-by-step explanation:

three point seven two five eight

brainiest please

The probability that Mark selects a car key or door key from the key ring is 0.3 or 30%.

What is probability?

Probability is a measure of the likelihood or chance of an event occurring. It is a number between 0 and 1, where 0 represents an impossible event and 1 represents a certain event. Probability is calculated by dividing the number of favorable outcomes by the total number of possible outcomes. Probability theory provides a framework for understanding random events and the laws of chance, and it is an important tool for modeling and simulating complex systems.

Calculating the probability that he selects a car key or door key :

In this context, we are asked to find the probability of Mark selecting a car key or door key from the key ring. To calculate this probability, we need to first determine the total number of keys on the key ring and then count the number of car keys and door keys.

Total number of keys = 10

Number of car keys = 2

Number of door keys = 1

The probability of selecting a car key or door key can be found by adding the probability of selecting a car key to the probability of selecting a door key. Since there is only one door key and two car keys, the probability of selecting a car key is higher, and we can simplify the calculation by finding the probability of selecting a car key and then adding the probability of selecting a door key that hasn't already been selected.

Probability of selecting a car key = 2/10 = 0.2

Probability of selecting a door key = 1/9 (since one key has already been selected) = 0.1111...

Therefore, the probability of Mark selecting a car key or door key from the key ring is 0.2 + 0.1111... ≈ 0.3 or 30%.

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Part(a),

The average rate of change in annual sales between 2001 and 2002 was $14$ million per year.

Part(b),

The average rate of change in annual sales between 2001 and 2004 was a decrease of $3.33$ million per year.

a) To find the rate of change between 2001 and 2002, we need to calculate the difference in sales between those two years and divide it by the number of years:

Rate of change = (Sales in 2002 - Sales in 2001) / (2002 - 2001)

Rate of change = (255 - 241) / 1 = 14 million/year

Therefore, the average rate of change of annual sales between 2001 and 2002 was $14$ million per year.

b) To find the rate of change between 2001 and 2004, we need to calculate the difference in sales between those two years and divide it by the number of years:

Rate of change = (Sales in 2004 - Sales in 2001) / (2004 - 2001)

Rate of change = (231 - 241) / 3 = -3.33 million/year

Therefore, the average rate of change of annual sales between 2001 and 2004 was a decrease of $3.33$ million per year.

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Answer:

3x^3 +13x^2 - 36x + 10.

Step-by-step explanation:

Area = length * width

= (3x - 5)(x^2 + 6x - 2)

= 3x(x^2 + 6x - 2) - 5)(x^2 + 6x - 2)

= 3x^3 + 18x^2 - 6x - 5x^2 - 30x + 10

=  3x^3 + 13x^2 - 36x + 10.

=======================================================

Explanation:

Let's find the area of one of the circles

A = pi*r^2

A = pi*10^2

A = 100pi

One circle is exactly 100pi square meters in area.

Four of the circles then combine to a total area of 4*100pi = 400pi square meters.

The distance along the bottom of the square is equal to two diameters, each diameter being 2r = 2*10 = 20 meters. So the distance along the bottom of the square is 2*20 = 40 meters. The square has an area of 40^2 = 1600 square meters.

The shaded region would therefore have an exact area of 1600-400pi square meters.

This approximates to 1600-400pi = 343.362938564082

Divide this over the area of the square to get the probability we want to find:

343.362938564082/1600 = 0.21460183660256

That's roughly 0.2146, which converts to 21.46%

Answer:

21.5%

Step-by-step explanation:

Find the area of the square, which is 40² or 1600 sq m

Find the area of one circle, multiply it by 4, then subtract that from 1600

A = 100(3.14) = 314

314 x 4 = 1256

1600 - 1256 = 344

Probability of landing in the shaded region is 344/1600 = 21.5%

Answer:

\(\sqrt[6]{2}\)

Step-by-step explanation:

\(\sqrt[4]{\sqrt[3]{2^2}} =((2^2)^\frac{1}{3})^\frac{1}{4}\\\\=(2^2)^\frac{1}{12}\\\\=2^\frac{2}{12}\\\\=2^\frac{1}{6}\\\\=\sqrt[6]{2}\)

The simple interest he earns in 2,560 on 17 months at a rate of

12% is 436.22

Calculating the interest on a loan using simple interest is quick and simple. Simple interest is calculated by dividing the principal by the daily interest rate and the number of days between payments.

Although some mortgages employ this calculation method, this type of interest typically applies to auto loans or short-term loans.

On a loan with simple interest, the first portion of every payment is applied to the interest for that month, and the remaining amount is applied to the principal. Interest is never accrued because each month's interest is paid in full. Compound interest, on the other hand, adds some of the monthly interest back onto the loan; you pay new interest on top of previous interest each month.

We have given the simple interest 12% per month for 17 months

Simple interest formula  SI = P × R × T, where P = Principal, R = Rate of Interest, and T = Time period.

SI = 2,560 × 12% × 1.42

SI =  436.224

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Answer:

23.83

Step-by-step explanation:

Answer:

2. 11x - 10

3. -8 + 11x - 2

5. -8 + 6x + 5x -2

Step-by-step explanation:

To find the equivalent expressions, find the solution to the expression -2(4 - 3x) + (5x - 2). All expressions that are within the solving process or have the same solution are equal to the given expression.

-2(4 - 3x) + (5x - 2)

-2(4 - 3x) + 5x - 2

-8 + 6x + 5x - 2

-8 + 11x - 2

11x - 10

In this case, the equivalent expressions were within the solving process. From this, we can see that the equivalent expressions are 11x - 10, -8 + 11x - 2, and -8 + 6x + 5x - 2. Aka choices 2, 3, and 5.

hope this helps!

Step By Step Explanation:

Answer:

4 airplanes

Step-by-step explanation:

1 = 2/3

6 = x

cross multiply

x = 6 × 2/3

therefore x = 4

Answer:

4 airplanes

Step-by-step explanation:

1 =2/3

6 =×

you have to cross multiply

× =6×2/3

Therefore x=4

Since the weight of each light is supported by three equally spaced wires, the tension in each wire is equal. The tension in each wire is T = 10 pounds.

Tension is the force exerted by a rope, string, cable, or other object that is being pulled tight. It is a measure of the amount of stretching or pulling force that the object can withstand.

The formula for calculating tension depends on the specific situation and the factors that are involved. Some common formulas for calculating tension include:

For a uniform horizontal rope or cable that is supporting a load: T = W / n

where T is the tension in the rope or cable, W is the weight of the load, and n is the number of ropes or cables supporting the load.

For a uniform vertical rope or cable that is supporting a load: T = W / s

where T is the tension in the rope or cable, W is the weight of the load, and s is the number of ropes or cables supporting the load.

For a rope or cable that is being pulled by a force F at an angle θ to the horizontal: T = F * cos(θ)

where T is the tension in the rope or cable, F is the force applied to the rope or cable, and θ is the angle between the force and the horizontal.

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There is no correlation between the Building Cost and the Operating Cost

1) Examining the graph, we can see that the points are not clustered around a decreasing line.

2) Comparing both variables, we can see the following:

3) Finally, as we can see there is no correlation between the Building Cost and the Operating Cost for the points don't follow a trend around the line. For they do not follow a pattern.

Main Answer: A normalized binary number typically consists of three parts:

Supporting Question and Answer:

What is a sign bit in a normalized binary number?

The sign bit is the leftmost bit of a normalized binary number and indicates whether the number is positive or negative .A value of 0 indicates a positive number, while a value of 1 indicates a negative number.

Body of the Solution: A normalized binary number typically consists of  the following three parts:

Final Answer: A normalized binary number typically consists of three parts:

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The error probability is determined by the signal-to-noise ratio (SNR) of the transmitted signal.

The SNR is defined as:

\(SNR = P/N\)

where P is the transmitted power and N is the noise power. To minimize the error probability, the transmitted power should be maximized, so that the SNR is as high as possible. The value of a should therefore be chosen such that the transmitted power is maximized. The transmitted power can be calculated using the following formula:

\(P = a2G\)

Where a is the signal amplitude and G is the gain of the antenna. Therefore, to maximize the transmitted power, the value of a should be chosen such that the product a2G is maximized. This can be done by maximizing either a or G (or both).

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The estimated number of students in the class is 26.

We have,

To estimate the number of students in the class, we can assume that the highest number observed in the sample (in this case, 26) is likely to be close to the actual number of students.

This assumption is based on the idea that if we have randomly called out a few students, there is a higher chance of getting a higher number if the total number of students is larger.

Therefore, by taking the maximum value observed in the sample as an estimate, we are essentially assuming that the highest number corresponds to the total number of students in the class.

In this case, since the highest number observed is 26, we can estimate that there are approximately 26 students in the class.

Thus,

The estimated number of students in the class is 26.

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Answer:

50400m

Step-by-step explanation:

t=1hour=60×60×60=3600

d=s×t

=14×3600

=50400m

Answer:

2.50x + 1.25y ≤ 30

x + y ≥ 14

x ≤ 10 and y ≤ 24

Step-by-step explanation:

we can by elimination if we multiply the second inequality by -2.5, we get:

-2.50x - 2.5y ≥ -35

if we add the first inequality to the above we get:

   2.50x + 1.25y ≤ 30

+  -2.50x - 2.5y ≥ -35

-1.25y = -5

divide each side by -1.25 to get:

y = 4

therefore, x = 10

if you graph each system you must look for the area where the shading of each inequality overlaps

upon graphing, the solution is x ≥ 10 and y ≤ 24

Answer:

53.658

Step-by-step explanation:

Answer: 149

Step-by-step explanation: <EDG = <EDF + <FDG

=86+66= 149

e know that the measure of arc in degrees is equals the measure of the central angle that intercepts the arc.

Now,the measure of arc EFG is given by Arc EFG=central angle EDG= 149

Answer:

s = 47

Step-by-step explanation:

The measure of the exterior angle of a triangle is equal to the sum of the opposite interior angles

s+45 = s+6  + s-8

Combine like terms

s+45 = 2s-2

Subtract s from each side

s+45-s =2s-2-s

45 =s-2

Add 2 to each side

45+2 = s-2+2

47 =s

the system of inequalities that represents this situation is: x ≤ 50 , y ≤ 100 , 175 - y ≥ x Let's start by defining some variables:

Let x be the number of single reservations.

Let y be the number of reservations for two or more people.

Since there are 50 single rooms and x single reservations, there must be at least 50 - x double rooms available for reservations for two or more people. Since each of these double rooms can accommodate 2 or more people, the total number of people who can be accommodated in these double rooms is 2(50 - x) = 100 - 2x.

The total number of people who can be accommodated in the hotel is 2x + (100 - 2x) = 100. This means that y, the number of reservations for two or more people, must satisfy the inequality y ≤ 100.

Each reservation for two or more people requires a double room, so the total number of double rooms used for reservations for two or more people is y. Since there are 175 double rooms in the hotel, the number of double rooms available for single reservations is 175 - y. Each single reservation requires one room, so the total number of single rooms used for reservations is x.

Therefore, the system of inequalities that represents this situation is:

x ≤ 50

y ≤ 100

175 - y ≥ x

The first inequality represents the fact that the number of single reservations must be less than or equal to the number of single rooms available. The second inequality represents the fact that the number of reservations for two or more people must be less than or equal to the total number of people who can be accommodated in double rooms. The third inequality represents the fact that the number of double rooms available for single reservations must be greater than or equal to the number of single reservations.

These three inequalities together represent the constraints on the number of single and double rooms that can be used for reservations, and the number of people who can be accommodated in the hotel. Solving this system of inequalities will give us the feasible region of the problem, which will allow us to find the optimal solution

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The beach balls are spherical.

Therefore

The diameter of the giant beach ball can be found below

Answer:

Step-by-step explanation:

(c):Confounding