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Maksim231197 [3]

3 years ago

12

Suppose a person is chosen at random. Use your knowledge about the world to decide whether the event that the person has brown e

yes and the event that the person is married are independent or associated.
Choose the correct answer below.

a. The two events are independent because having brown eyes does not depend on being female.
b. The two events are associated because having brown eyes does not depend on being female.
c. The two events are associated because being female depends on having brown eyes.
d. The two events are independent because being female depends on having brown eyes.

1 answer:

posledela3 years ago

3 0

Answer:

The two events are independent.

Step-by-step explanation:

Independent events are those events that are not affected by each other.

If events <em>X</em> and <em>Y</em> are independent then the occurrence of one of these two events does not depend on the other in any way.

For two independent events <em>X</em> and <em>Y</em> the joint probability is:

$P(X\cap Y)=P(X)\times P (Y)$

Define <em>X</em> and <em>Y</em> as follows:

<em>X</em> = a person has brown eyes

<em>Y</em> = a person is married.

The event of a person being married does not depend on the event of the person having brown eyes.

The two events are not at all related.

Thus, the two events are independent.

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Frances has piano lessons every fourth day.

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Answer: ask your teacher I’m not that smart

Step-by-step explanation:

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3 years ago

The following table shows the estimated populations and annual growth rates for four countries in the year 2000. Find the

gladu [14]

Answer:

Part 1) Australia $19,751,012\ people$

Part 2) China $1,319,645,764\ people$

Part 3) Mexico $109,712,539\ people$

Part 4) Zaire $60,534,681\ people$

Step-by-step explanation:

we know that

The equation of a exponential growth function is given by

$P(t)=a(1+r)^t$

where

P(t) is the population

t is the number of years since year 2000

a is he initial value

r is the rate of change

Part 1) Australia

we have

$a=19,169,000\\r=0.6\%=0.6\100=0.006$

substitute

$P(t)=19,169,000(1+0.006)^t$

$P(t)=19,169,000(1.006)^t$

Find the expected population in 2025,

Find the value of t

t=2005-2000=5 years

substitute the value of t in the equation

$P(5)=19,169,000(1.006)^5=19,751,012\ people$

Part 2) China

we have

$a=1,261,832,000\\r=0.9\%=0.9\100=0.009$

substitute

$P(t)=1,261,832,000(1+0.009)^t$

$P(t)=1,261,832,000(1.009)^t$

Find the expected population in 2025,

Find the value of t

t=2005-2000=5 years

substitute the value of t in the equation

$P(5)=1,261,832,000(1.009)^5=1,319,645,764\ people$

Part 3) Mexico

we have

$a=100,350,000\\r=1.8\%=1.8\100=0.018$

substitute

$P(t)=100,350,000(1+0.018)^t$

$P(t)=100,350,000(1.018)^t$

Find the expected population in 2025,

Find the value of t

t=2005-2000=5 years

substitute the value of t in the equation

$P(5)=100,350,000(1.018)^5=109,712,539\ people$

Part 4) Zaire

we have

$a=51,965,000\\r=3.1\%=3.1\100=0.031$

substitute

$P(t)=51,965,000(1+0.031)^t$

$P(t)=51,965,000(1.031)^t$

Find the expected population in 2025,

Find the value of t

t=2005-2000=5 years

substitute the value of t in the equation

$P(5)=51,965,000(1.031)^5=60,534,681\ people$

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Your ship sinks and you swim to a nearby island. On this island, the inhabitants do not use money. The island residents use isla

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Answer:

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Read 2 more answers

What is the image of(8,12) after a dilation by a scale factor of 1/4 centered at the origin?

max2010maxim [7]

<h3>Answer: (2, 3)</h3>

=================================================

Explanation:

1/4 = 0.25 is the scale factor

Multiply this with each coordinate of the given point

0.25*8 = 2 is the new x coordinate

0.25*12 = 3 is the new y coordinate

So (8,12) moves to (2,3) after applying the dilation

The scale factor k makes 0 < k < 1 true, so the point is closer to the origin after applying the dilation.

--------

Side note: this trick of multiplying the scale factor by each coordinate only works if the dilation is centered at the origin. For any other center, you'll need to apply a translation first, dilate, then translate back again.

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3 years ago