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2 years ago

10

In a local car lot, 1/6

1 answer:

Black_prince [1.1K]2 years ago

7 0

Answer: $\dfrac{5}{324}$

Step-by-step explanation:

Given

Probability that car has a standard transmission is $\frac{1}{6}$

So, the probability that the car does not have transmission is

$1-\dfrac{1}{6}=\dfrac{5}{6}$

Probability of that 3 out of 4 randomly selected cars have standard transmissions is given by selecting 3 cars with standard deviation and then multiply by their respective probabilities

$\Rightarrow P=^4C_3\cdot \left(\dfrac{1}{6}\right)^3\cdot \left(\dfrac{5}{6}\right)\\\\\Rightarrow P=4\times\dfrac{5}{6^4}\\\\\Rightarrow P=\dfrac{20}{1296}\\\\\Rightarrow P=\dfrac{5}{324}$

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3 years ago

What is the recursive rule for the sequence 2, -1, 1/2 , -1/4

Helga [31]

Answer:

$a_n=\frac{-1}{2}a_{n-1}$

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Step-by-step explanation:

The recursive rule is a term defined in terms of other terms in the sequence.

The is a geometric sequence because it has a common ratio.

The common ratio can be found by dividing a term by previous term.

For example, all of these are equal:

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They are all equal to $\frac{-1}{2}$ .

So we are saying:

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More formally:

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Multiply both sides by $a_{n-1}$ :

$a_n=\frac{-1}{2}a_{n-1}$

When doing recursive form, you need to state a term of the sequence (or more depending on the recursive form you have).

So the first term is 2.

So the full thing for the answer is:

$a_n=\frac{-1}{2}a_{n-1}$

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3 years ago

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Answer:

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Step-by-step explanation:

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