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Georgia [21]
4 years ago
5

1. Determine the percent of all voters that did not vote Republican or Democrat but voted "other" instead. Round your answer to

the nearest tenth of a percent.
2.What is the probability that a randomly chosen male voter is a registered Democrat? Round your answer to the nearest tenth of a percent.

Mathematics
1 answer:
lyudmila [28]4 years ago
6 0

Answer:

1. 10%

2. 49.1%

Step-by-step explanation:

1. The percent of voters who are other is the number of other divided by the total number of voters.

The number of "other" votes is 222. The number of total votes is 2,222.

The percent is 222/2222 = 0.0999. Times the decimal by 100 for the percent.

0.0999*100 = 9.99% rounds to 10%.

2. The probability is found by finding the number of male and registered as democrat, which is 600, and dividing it by the number of males, which is 1,222.

600/1,222 = 0.4909

Multiply by the decimal by 100 to find the percent.

0.4909*100 = 49.09 which rounds to 49.1%.

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Question 40 is D because from looking at the graph, its is symmetrical and the mean is the average, which usually the middle of the graph, so is the median. The median and mean would be within the 2.1-3 category because its the middle of the graph.

Question 41 is B because every pound is 16 ounces. If you multiply 16 and 12.5, you'll get 200.
3 0
3 years ago
Two sides of a triangle are 8 m and 9 m in length and the angle between them is increasing at a rate of 0.06 rad/s. Find the rat
Lelechka [254]
<h2>Rate at which area is increasing is 1.08 m²/s.</h2>

Step-by-step explanation:

Area of triangle is with side a and b and angle C between them is given by

                             A = 0.5 ab SinC

Here we need to find how area changes with  a and b fixed and C is changing,

                       \frac{dA}{dt}=\frac{d}{dt}\left (0.5 absinC\right )\\\\\frac{dA}{dt}=0.5ab\frac{d}{dt}\left (sinC\right )\\\\\frac{dA}{dt}=0.5abcosC\frac{dC}{dt}

We have

                 a = 8 m

                 b = 9 m

                 C=\frac{\pi}{3}rad\\\\\frac{dC}{dt}=0.06rad/s

Substituting

                 \frac{dA}{dt}=0.5\times 8\times 9\times cos\left ( \frac{\pi}{3}\right )\times 0.06\\\\\frac{dA}{dt}=1.08m^2/s

Rate at which area is increasing is 1.08 m²/s.

4 0
4 years ago
Is the following shape a square? How do you know?
Troyanec [42]

Answer:

B

Step-by-step explanation:

it is a rectangle. each opposite sides ARE parallel but not every side is equal like a square so B

8 0
3 years ago
How would I do this? What would it be?
Igoryamba

Answer: x=80

Step-by-step explanation:

By definition, the sum of the exterior angles of a polygon is 360 degrees.

Knowing this, you can write the following equation:

(x+8)+(2x+12)+(x+20)=360

Then, you must solve for "x" in order to find its value. To do it, you can follow these steps:

1. You need to add the like terms:

(x+8)+(2x+12)+(x+20)=360\\\\4x+40=360

2. Now, subtract 40 from both sides of the equation:

4x+40-(40)=360-(40)\\\\4x=320

3. Finally, you must divide both sides of the equation by 4. Then:

\frac{4x}{4}=\frac{320}{4}\\\\x=80

7 0
4 years ago
Solve 3x^2 + x + 10 = 0 round solutions to the nearest hundredth
lara31 [8.8K]

Answer:

C. X= -2.01 and x= 1.67

Step-by-step explanation:

3x {}^{2}  + x + 10 = 0 \\ 3x {}^{2}  + 6x - 5x + 10 = 0 \\ 3x(x + 2) - 5(x + 2) \\ (x + 2)(3x - 5 )\\  x  + 2 = 0 \:  \: or \:  \: 3x - 5 = 0 \\ x =  - 2 \:  \: or \:  \: x =  \frac{5}{3}

4 0
3 years ago
Read 2 more answers
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