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2 years ago

Question 7

Mathematics

1 answer:

Readme [11.4K]2 years ago

6 0

Answer:

see explanation

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Given

$\frac{x}{2}$ + $\frac{y}{2}$ = 1 ( multiply through by 2 to clear the fractions )

x + y = 2 ( subtract x from both sides )

y = - x + 2 ← in slope- intercept form

(a) with slope m = - 1

(b) with y- intercept c = 2

(c)

Parallel lines have equal slopes, thus

y = - x + c ← is the partial equation of PQ

To find c substitute (2, - 8) into the partial equation

- 8 = - 2 + c ⇒ c = - 8 + 2 = - 6

y = - x - 6 ← equation of PQ

To show (- 1, - 5) lies on PQ, substitute x = - 1 into the equation and evaluate for y.

y = - (- 1) - 6 = 1 - 6 = - 5 ← the given y- coordinate

Thus PQ passes through (- 1, - 5 )

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Suppose you have the following information. 12% of all drivers do not have a valid driver’s license, 6% of all drivers have no i

lubasha [3.4K]

Answer:

e) 0.14

Step-by-step explanation:

We solve this problem building the Venn's diagram of these probabilities.

I am going to say that:

A is the probability that a driver does not have a valid driver's license.

B is the probability that a driver does not have insurance.

We have that:

$A = a + (A \cap B)$

In which a is the probability that a driver does not have a valid driver's license but has insurance and $A \cap B$ is the probability that a driver does not have any of these things.

By the same logic, we have that:

$B = b + (A \cap B)$

We start finding these values from the intersection.

4% have neither

This means that $(A \cap B) = 0.04$

6% of all drivers have no insurance

This means that $B = 0.06$ . So

$B = b + (A \cap B)$

$0.06 = b + 0.04$

$b = 0.02$

12% of all drivers do not have a valid driver’s license

This means that $A = 0.12$

$A = a + (A \cap B)$

$0.12 = a + 0.04$

$a = 0.08$

The probability that a randomly selected driver either fails to have a valid license or fails to have insurance is about

$P = a + b + (A \cap B) = 0.08 + 0.02 + 0.04 = 0.14$

So the correct answer is:

e) 0.14

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Answer:

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Step-by-step explanation:

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