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3 years ago

What are the

Mathematics

1 answer:

mario62 [17]3 years ago

5 0

Answer:

x = 1+√83 i/6 and 1-√83 i/6

Step-by-step explanation:

Given the quadratic expression;

3x^2-x+7 =0

Using the general foemula to find x

x = -b±√b²-4ac/2a

From the equation

a = 3, b = -1 and c = 7

Substitute

x = -(-1)±√(1)²-4(3)(7)/2(3)

x = 1±√1-84/6

x = 1±√-83/6

x = 1±√83 i/6

x = 1+√83 i/6 and 1-√83 i/6

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3 years ago

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3 years ago

Find the indicated conditional probability

andrezito [222]

Given:

The two way table.

To find:

The conditional probability of P(Drive to school | Senior).

Solution:

The conditional probability is defined as:

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Using this formula, we get

$P(\text{Drive to school }|\text{ Senior})=\dfrac{P(\text{Drive to school and senior})}{P(\text{Senior})}$ ...(i)

From the given two way table, we get

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= 35

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= 100

Now,

$P(\text{Drive to school and senior})=\dfrac{25}{100}$

$P(\text{Senior})=\dfrac{35}{100}$

Substituting these values in (i), we get

$P(\text{Drive to school }|\text{ Senior})=\dfrac{\dfrac{25}{100}}{\dfrac{35}{100}}$

$P(\text{Drive to school }|\text{ Senior})=\dfrac{25}{35}$

$P(\text{Drive to school }|\text{ Senior})=0.7142857$

$P(\text{Drive to school }|\text{ Senior})\approx 0.71$

Therefore, the required conditional probability is 0.71.

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3 years ago

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Answer:

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Step-by-step explanation:

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3 years ago

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3 years ago