The following contingency table shows opinion about global warming (nonissue vs. serious concern) among registered voters, broken down by political party affiliation (Democratic, Republican, and Independent). Use the table to answer a) through c) below. Opinions on Global Warming Nonissue Serious Concern Total 500 500 200 1200 Democratic 80 Political Party Republican 300 Independent110 490 42 200 90 Total 710 a) What is the probability that a randomly selected registered voter who is a Republican believes that global warming is a serious issue? 0.400 (Round to three decimal places as needed.) b) What is the probability that a randomly selected registered voter is a Republican given that he or she believes global warming is a serious issue? 0.167(Round to three decimal places as needed.)

Answers

Answer 1
Answer:

Republican given that he or she believes global warming is a serious issue is lower than the probability of a randomly selected registered voter

What is Probability?

Probability is the branch of mathematics that deals with the quantification of uncertainty. It is the likelihood of an event happening, expressed as a number between 0 and 1. Probability is used to infer the likelihood of outcomes based on past data and current conditions. Probability is important in decision-making, risk management, and finance.

The probability of a randomly selected registered voter being a Republican given that he or she believes global warming is a serious issue is lower than the probability of a randomly selected registered voter who is a Republican believing that global warming is a serious issue, because there are more total registered voters who believe that global warming is a serious issue than there are registered Republicans who believe that global warming is a serious issue. This means that the probability of a randomly selected registered voter being a Republican given that he or she believes global warming is a serious issue is lower than the probability of a randomly selected registered voter who is a Republican believing that global warming is a serious issue, because there are more total registered voters who believe that global warming is a serious issue than there are registered Republicans who believe that global warming is a serious issue.

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Answer 2
Answer:

No, political party affiliation and opinion on global warming are not independent because the probability of a randomly selected registered voter being a Republican is not the same for both "nonissue" and "serious concern" opinion on global warming.

What is Probability?

Probability is the branch of mathematics that deals with the quantification of uncertainty. It is the likelihood of an event happening, expressed as a number between 0 and 1. Probability is used to infer the likelihood of outcomes based on past data and current conditions. Probability is important in decision-making, risk management, and finance.

No, they are not independent. This is because the probability of a Republican being selected given that they believe global warming is a serious issue is not equal to the probability of a Republican being selected regardless of opinion on global warming (0.400 vs 0.167). This implies that there is a higher probability of a Republican being selected if they believe global warming is a serious issue.

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PLZ HELP URGENT!!!!!!!!!f(x) = -3x2 + 2x - 7f(-1) = A) -12 B) -8 C) -6 D) 0
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Find the domain and range of the INVERSE of the given function. Square root x-3
3 cans that store 9 tennis balls... Find the constant of proportionality & write a equation to represent the relationship PLEASE help
(Geometry), homework please help

Please show me how to do it.

Answers

(8^(2n - 3) * 2^(n - 3))/(4 * 2^(-n + 2)) = (2^(3(2n - 3)) * 2^(n - 3))/(4 * 2^(-n + 2)) = (2^(3(2n) - 3(3)) * 2^(n - 3))/(4 * 2^(-n + 2)) = (2^(6n - 9) * 2^(n - 3))/(2^(2) * 2^(-n + 2)) = (2^((6n - 9) + (n + 3)))/(2^(2 - n + 2)) = (2^((6n + n) + (-9 + 3)))/(2^(-n + 2 + 2)) = (2^(7x + (-12)))/(2^(-n + 4)) = (2^(7x - 12))/(2^(-n + 4)) = 2^(8n - 16)

if the wheel(w) at the end of the arm is 105m from the spindle point(c) .what distance does this wheel cover in one full rotation of the arm?

Answers

Hello,

the length of the circomference is 2*π*radius
=2*π*105=659,7344572538565800771551104887... (m)

a triangle has area 49.5 cm^2. if the base of the triangle is 9 cm, what is the height of the triangle

Answers

The height of the triangle is 11 cm

What is a Triangle?

A triangle is a plane figure or polygon with three sides and three angles.

A Triangle has three vertices and the sum of the interior angles add up to 180°

Let the Triangle be ΔABC , such that

∠A + ∠B + ∠C = 180°

The area of the triangle = ( 1/2 ) x Length x Base

For a right angle triangle

From the Pythagoras Theorem , The hypotenuse² = base² + height²

Given data ,

Let the height of the triangle be = h

The area of the triangle A = 49.5 cm²

The base of the triangle b = 9 cm

So , the area of the triangle is given by the equation ,

Area of the triangle = ( 1/2 ) x Length x Base

Substituting the values in the equation , we get

A = ( 1/2 ) x b x h

49.5 = ( 1/2 ) x 9 x h

Multiply by 2 on both sides of the equation , we get

9h = 99

Divide by 9 on both sides of the equation , we get

h = 99/9

h = 11 cm

Therefore , the value of h is 11 cm

Hence , the height of the triangle is 11 cm

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Area of a triangle = (height * base ) / 2

height = (Area * 2) / base
height = (49.5 * 2) / 9
height = 99 / 9
height = 10 cm²

A trundle wheel is used by surveyors to measure distances. It consits of a circular disc attached to a handle. One revolution of the wheel measures out exactly one metre. Find the diameter of the wheel.

Answers

I don't know the units so I'm guessing its centimeters, you can convert it when I'm done.
31.847133758 is the exact answer in centimeters, you can use that to convert the units to millimeters and such.

What is $220 marked up 60%​

Answers

A $220 item marked up by 60% would have a final selling price of $352.

what is $220 marked up 60%

A 60% markup on $220 would be calculated as follows:

Markup = Original Price × Markup Percentage

Markup = $220 × 0.60

Markup = $132

To find the final selling price, you add the markup to the original price:

Final Price = Original Price + Markup

Final Price = $220 + $132

Final Price = $352

Therefore, a $220 item marked up by 60% would have a final selling price of $352.

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Answer:

Answer would be $366.70

Step-by-step explanation:

220/60%=366.70

Hope it helps

6x - 5y= 0 and x - 5y= -25

Answers

This is a simultaneous question that can be solved with elimination.

6x - 5y = 0 ——(1)
x - 5y = -25 ——(2)

(1) - (2):
6x - 5y - (x - 5y) = 0 - (-25)
6x - 5y - x + 5y = 0 + 25
5x = 25
x = 5

Sub x = 5 into (2):
5 - 5y = -25
-5y = -30
y = 6

Hope this helps