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Andrew [12]
3 years ago
6

If 33% of the members of Sweetheart Union sign petitions to decertify the union, the National Labor Relations Board will call an

election to determine whether the Sweetheart will remain the exclusive bargaining agent. The union leadership takes a random survey of 40 members and finds that eight persons will sign the petition. What can you tell the union?
Mathematics
1 answer:
Elis [28]3 years ago
5 0

Answer:

There is no need to call for election.

Step-by-Step Explanation

Surveys are based on probability or statistics. It serves as a standard tool for experimental research in marketing, social sciences and official data statistics.

Since 8 out of 40 members of the Sweetheart Union will sign the petition, the percentage of those who will sign the petition is calculated below:

\frac{8}{40}*100=20\%

Based on the sample survey, only 20 percent of the members will sign the petition. Since, in the sample, the number of those who will sign is less than 33%, the union should be told that there is no need for the National Labor Relations Board to call for the election.

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I need help attachment below will give brainliest
Veronika [31]

Answer:

see explanation

Step-by-step explanation:

(1)

Calculate the circumference (C) of the wheel

C = πd (d is the diameter )

   = 3.14 × 8 = 25.12 cm

Now divide the distance travelled by the circumference.

times rotated = 12560 ÷ 25.12 ≈ 500

----------------------------------------------------------------

(2)

The area (A) of a circle is calculated as

A = πr² ( r is the radius )

Find r by using the circumference (C)

2πr = 50.24 ( divide both sides by 2π )

r = 50.24 ÷ 6.28 = 8 , then

A = 3.14 × 8² = 3.14 × 64 ≈ 200.96 ft² ( student 3 )

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(3)

C = πd = 3.14 × 30 = 94.2 ≈ 94 m

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2 years ago
Help<br> I dont know the answer im not very smart
Dahasolnce [82]
The domain of G is 4 and the range of G is 9 (domain=x, range=y :))
8 0
2 years ago
One of the vertices of an equilateral triangle is on the vertex of a square and two other vertices are on the not adjacent sides
Elina [12.6K]
<h2>Answer:</h2>

<em> The side of the triangle is either 38.63ft or 10.35ft</em>

<h2>Step-by-step explanation:</h2>

This problem can be translated as an image as shown in the Figure below. We know that:

  • The side of the square is 10 ft.
  • One of the vertices of an equilateral triangle is on the vertex of a square.
  • Two other vertices are on the not adjacent sides of the same square.

Let's call:

Since the given triangle is equilateral, each side measures the same length. So:

x: The side of the equilateral triangle (Triangle 1)

y: A side of another triangle called Triangle 2.

That length is the hypotenuse of other triangle called Triangle 2. Therefore, by Pythagorean theorem:

\mathbf{(1)} \ x^2=100+y^2

We have another triangle, called Triangle 3, and given that the side of the square is 10ft, then it is true that:

y+(10-y)=10

Therefore, for Triangle 3, we have that by Pythagorean theorem:

(10-y)^2+(10-y)^2=x^2 \\ \\ 2(10-y)^2=x^2 \\ \\ \\ \mathbf{(2)} \ x^2=2(10-y)^2

Matching equations (1) and (2):

2(10-y)^2=100+y^2 \\ \\ 2(100-20y+y^2)=100+y^2 \\ \\ 200-40y+2y^2=100+y^2 \\ \\ (2y^2-y^2)-40y+(200-100)=0 \\ \\ y^2-40y+100=0

Using quadratic formula:

y_{1,2}=\frac{-b \pm \sqrt{b^2-4ac}}{2a} \\ \\ y_{1,2}=\frac{-(-40) \pm \sqrt{(-40)^2-4(1)(100)}}{2(1)} \\ \\ \\ y_{1}=37.32 \\ \\ y_{2}=2.68

Finding x from (1):

x^2=100+y^2 \\ \\ x_{1}=\sqrt{100+37.32^2} \\ \\ x_{1}=38.63ft \\ \\ \\ x_{2}=\sqrt{100+2.68^2} \\ \\ x_{2}=10.35ft

<em>Finally, the side of the triangle is either 38.63ft or 10.35ft</em>

5 0
3 years ago
Read 2 more answers
Determine whether each function represents exponential growth or decay. Select the correct option for each function. PLEASE HELP
Varvara68 [4.7K]

Answer: f(x)= (3/4)^x/2 —> Decay

f(x)=(4/3)^x —> Growth

f(x)=(5/6)^3x —> Decay

f(x)=(8/3)^x/3 —> Growth

f(x)=(3/2)^2x —> Growth

Step-by-step explanation: When you graph them one by one, for example, the first equation (f(x)= (3/4)^x/2), the graph would have an asymptote on the right side, meaning that it’s decaying.

Straight up explanation: if the asymptote on the graph is on the left then it is growing, but if the asymptote is on the right then it’s decaying.

Asymptote is the “line” that almost touches the x axis.

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1. Know order of operations (bedmas, Canada), (pemdas, USA)
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Multiplication
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Or

Parenthesis
Exponents
Multiplication
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Multiplication and division are from left to right so whichever comes first is the one u solve first. Same with subtraction and addition
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