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3 years ago

The diameter of the Sun is about 1.4 × 10^6 km. The diameter of Mars is about 7000 km.

Mathematics

2 answers:

Vladimir79 [104]3 years ago

6 0

The answer should be C

Liula [17]3 years ago

4 0

Answer:

C.) 2×10²

Step-by-step explanation:

(Sun dia) / (Mars dia) = (1.4 x 10⁶ km) / (0.7 × 10⁴ km) = (1.4/0.7) × 10²

The ratio of diameters is about 2 × 10².

_____

The applicable rule of exponents is ...

(a^b)/(a^c) = a^(b-c)

The diameter of Mars can be expressed several ways.

7000 = 7×1000 = 0.7×10,000 = 0.7×10⁴

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a) There is a 18.75% probability that the first question that she gets right is the second question.

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Each question can have two outcomes. Either it is right, or it is wrong. So, for b) and c), we use the binomial probability distribution to solve this problem.

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$P(X = x) = C_{n,x}.\pi^{x}.(1-\pi)^{n-x}$

In which $C_{n,x}$ is the number of different combinatios of x objects from a set of n elements, given by the following formula.

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And $\pi$ is the probability of X happening.

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Each question has 4 choices. So for each question, Robin has a $\frac{1}{4} = 0.25$ probability of getting ir right. So $\pi = 0.25$ . There are five questions, so $n = 5$ .

(a) What is the probability that the first question she gets right is the second question?

There is a 75% probability of getting the first question wrong and there is a 25% probability of getting the second question right. These probabilities are independent.

$P = 0.75(0.25) = 0.1875$