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babymother [125]
3 years ago
5

Very confused please help

Mathematics
2 answers:
koban [17]3 years ago
7 0
B, C, A, B


YOU’RE WELCOME!!
Flauer [41]3 years ago
6 0
First one is B second one is C third is A last is B
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The planet Neptune orbits the Sun. Its orbital radius is 30.130.1 astronomical units (\text{AU})(AU).
Ronch [10]

Answer: 189.028 AU.

Step-by-step explanation:

Given: The radius of the orbit = 30.1 AU

Since, the orbit is circular in shape, then the distance traveled by Neptune is given by:-

 \text{Circumference=}2\pi r\\\\\Rightarrow\ \text{Circumference=}2(3.14)\times(30.1)\\\\\Rightarrow\ \text{Circumference=}=189.028\text{ AU}

Hence, the distance traveled by Neptune in a single orbit around the Sun = 189.028 AU.

7 0
3 years ago
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In a certain town in the united states, 40% of the population are democrats and 60% are republicans. The municipal government ha
mixer [17]

Answer:

(a) 0.48, (b) 0.625, (c) 0.1923

Step-by-step explanation:

First define

Probability a person is a democrat: P(D) = 0.4

Probability a person is a republican: P(R) = 0.6

Probability a person support the measure given that the person is a democrat: P(SM | D) = 0.75

Probability a person support the measure given that the person is a republican: P(SM | R) = 0.3

Now for the Theorem of total probabilities we have

(a) P(SM) = P(SM | D)P(D)+P(SM | R)P(R) = (0.75)(0.4)+(0.3)(0.6) = 0.48

and for the Bayes' Formula we have

(b) P(D | SM) = P(SM | D)P(D)/[P(SM | D)P(D)+P(SM | R)P(R)] = (0.75)(0.4)/0.48 = 0.625

Now let SMc be the complement of support the measure, i.e.,

P(SMc | D) = 0.25 : Probability a person does not support the measure given that the person is a democrat

P(SMc | R) = 0.7: Probability a person does not support the measure given that the person is a republican,

and also for the Bayes' Formula we have

(c) P(D | SMc) = P(SMc | D)P(D)/[P(SMc | D)P(D)+P(SMc | R)P(R)] = (0.25)(0.4)/[(0.25)(0.4)+(0.7)(0.6)] = 0.1/(0.52)=0.1923

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3 years ago
Help me with these 2 questions
DaniilM [7]

Answer:

A & B

Step-by-step explanation:

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What are the coordinates of the vertex of the graph:
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Answer is C. (-7, -16)
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