A business owner noted the features of the 100 cars parked at the business. Here are the results:

Mathematics

1 answer:

AlexFokin [52]3 years ago

3 0

Complete Question

The complete question is shown on the first uploaded image

Answer:

The probability is $P(4 \ doors | sunroof ) = 0.40$

Step-by-step explanation:

From the question we are told that

The number of cars packed is $n = 100$

The objective of this solution is to find the probability that the car which has a sunroof also has four doors

This probability is mathematically represented as

$P(4 \ doors | sunroof )$

Baye's Rule define this probability mathematically as

$P(4 \ doors | sunroof ) = \frac{P(4 \ doors \ n \ sunroof )}{P(sunroof)}$

From the diagram

$P(4 \ doors \ n \ sunroof ) = 20$

and $P(sunroof) = 50$

$P(4 \ doors | sunroof ) = \frac{20}{50}$

$P(4 \ doors | sunroof ) = 0.40$

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Answer:

${x}^{2} - x + 3$

Step-by-step explanation:

Instead, since the divisor is in the form of $x - c$ , use what is called Synthetic Division. Remember, in this formula, $-c$ gives you the OPPOSITE terms of what they really are, so do not forget it. Anyway, here is how it is done:

4| 1 −5 7 −12

↓ 4 −4 12

_______________

1 −1 3 0 → ${x}^{2} - x + 3$

You start by placing the $c$ in the top left corner, then list all the coefficients of your dividend [x³ - 5x² + 7x - 12]. You bring down the original term closest to $c$ then begin your multiplication. Now depending on what symbol your result is tells you whether the next step is to subtract or add, then you continue this process starting with multiplication all the way up until you reach the end. Now, when the last term is 0, that means you have no remainder. Finally, your quotient is one degree less than your dividend, so that 1 in your quotient can be an ${x}^{2}$ , the −1 [ $x$ ] follows right behind it, and bringing up the rear, comes the 3, giving you the quotient of ${x}^{2} - x + 3$ .