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malfutka [58]
1 year ago
13

Residents of three counties were polled to find the percentage of residents who are Republican or Democrat.

Mathematics
1 answer:
Savatey [412]1 year ago
4 0

Using it's concept, the relative frequencies are given as follows:

  • Republican residents of County 1: 37.9%.
  • Democratic residents of County 1: 62.1%.
  • Total Republican residents: 58.9%.
  • Total Democratic residents: 41.1%.

<h3>What is a relative frequency?</h3>

A relative frequency is given by the<u> number of desired outcomes divided by the number of total outcomes</u>.

In County 1, we have that there are 6,520 residents, out of which 4,050 are Democratic and 2,470 are Republican, hence the relative frequencies are given as follows:

  • Republican residents of County 1: 2470/6520 = 37.9%.
  • Democratic residents of County 1: 4050/6520 = 62.1%.

In total, there are 24,505 residents, out of which 10,075 are Democratic and 14,430 are Republican, hence the relative frequencies are given as follows:

  • Total Republican residents: 14430/24505 = 58.9%.
  • Total Democratic residents: 10075/24505 = 41.1%.

More can be learned about relative frequencies at brainly.com/question/23359601

#SPJ1

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3 years ago
What is the Volume of the square pyramid? (Round to the nearest tenth as needed)
goldenfox [79]

Answer:

5229 mm³

Step-by-step explanation:

Volume of square pyramid

\sf \boxed{Volume \ of \ the \ square \ pyramid = \dfrac{1}{3}*b^2*H}

      b = base length = 25 mm

       H = height

         We have to find 'H' using Pythagorean theorem,

              slant height (hypotenuse) = 28 mm

                                                  leg₁ = base length  ÷ 2 = 25÷2 = 12.5

                                                  leg₂ = H

     H² + (12.5)² = 28²

                  H²   = 784 - 156.25

                         = 627.75

                   \sf H = \sqrt{627.75}

                 H = 25.01 mm

          \sf  \text{Volume of square pyramid =$\dfrac{1}{3}*25*25*25.1$ }

                                                     = 5229 mm³

                                                     

       

\sf \boxed{\text{Volume of square pyramid = \dfrac{1}{3}*25*25*28}}

3 0
2 years ago
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A triangle has a hypotenuse of length 25 and one leg of length 24. What is the tangent of the larger acute angle of the triangle
cestrela7 [59]

Answer:

\sin( \theta)  =  \frac{24}{25}  \\  \theta =  { \sin }^{ - 1} ( \frac{24}{25} ) \\  \theta = 73.7 \degree \\  \\  \tan( \theta)  =  \tan(73.7 \degree)  \\  = 3.4

8 0
2 years ago
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I will mark you brainliest and give 50 points if u help and pls I want the answer to both a and b if u give random answers witho
shusha [124]

Answer:

5a. 4w+24≤100

5b. Dimensions=31ft x 19 ft

      Area = 589ft²

Step-by-step explanation:

l=w+12

p=2l+2w

p=2(w+12)+2w

p=2w+24+2w

p=4w+24

The farmer has 100ft of fencing, so maximum that the perimeter (p) can be is 100, meaning (4w+24) has to be less than or equal to 100:

4w+24≤100

For the largest possible perimeter, all 100 of fencing will be used, so allow 100 to be equal to 4w+24)

100=4w+24

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The dimensions are 31ft x 19ft.

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The sum of twelve and a number is no greater than sum of twice the number and -8
Leona [35]
1. Write as an algebraic equation:

12 + n ≤ 2n - 8

2. Solve for n.

12 + n - 12 ≤ 2n - 8 - 12

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n - 2n ≤ 2n - 20 - 2n

-n ≤ -20

Multiply both sides by -1 (this means you must flip the inequality sign).

n ≥ 20

FINAL ANSWER: n ≥ 20

Hope this helps! Feel free to ask for clarification.
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