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4 years ago

Consider two events such that P(A)=3 / 5, P(B)=4 / 7, and P(A∩B)=12 / 35. Are events A and B independent events?

Mathematics

1 answer:

xxMikexx [17]4 years ago

5 0

Answer:

option D

Yes, they are independent because P(A)×P(B)=P(A∩B)

Step-by-step explanation:

Given in the question,

p(A) = 3/5

p(B) = 4/7

p(A∩B) = 12/35

If two events A and B are independent then,

12/35 = 3/5 . 4/7

12/35 = 12/35

Hence, events A and B independent events

You might be interested in

I have $25 all in nickels and dimes. There are twice as many Nickles as dimes. How many of each are there?

Mama L [17]

Answer:

N=250

Step-by-step explanation:

"twice as many nickels as dimes" means N =2D [eq1]

"collection of nickels and dimes is worth $25" means

5N + 10D = 2500 [eq2]

(To avoid using decimal points, PLZ express everything in cents.)

Substitution (substitute N from eq1 into eq2]:

5(2D) + 10D = 2500

10D + 10D = 2500

20D = 2500

D = 125

N=2D [eq1 again]

N=2(125)

N=250

Check:

Is 5(250) + 10(125) = 2500 ?

1250 + 1250 = 2500 ?

2500 = 2500 ?yes

7 0

3 years ago

What is the length of DE?

miskamm [114]

Answer:

Step-by-step explanation:

If two chords intersect in a circle, the product of the lengths of the segments of one chord equal the product of the segments of the other.

AC *CB = CD CE

4 * (10-4) = CD * 8

4 * 6 = 8 *CD

24 = 8 CD

Divide each side by 8

24/8 = CD

3 = CD

We want the length DE

DE = CD + CE

= 3 + 8

DE = 11

5 0

3 years ago

A number, y, is equal to twice the sum of a smaller number and 3. The larger number is also equal to 5 more than 3 times the sma

Nata [24]

Answer:

The equations represent the situation is $y=2x+6$ and $y=5+3x$ .

Step-by-step explanation:

Consider the provided information.

First convert the statement into mathematical representation.

Consider the smaller number is <em>x</em> and the larger number is <em>y</em>.

<em>y</em>, is equal to twice the sum of a smaller number and 3.

This information can be written as: $y=2(x+3)$

Which can be further solve as:

$y=2x+6$

The larger number is also equal to 5 more than 3 times the smaller number.

This information can be written as: $y=5+3x$

Thus, the equations represent the situation is $y=2x+6$ and $y=5+3x$ .

Which can be further solve as:

$2x+6=5+3x$

$x=1$

Now, substitute the value of <em>x</em> in $y=5+3x$ .

$y=5+3$

$y=8$

3 0

3 years ago

Read 2 more answers

You and your family are planning a roadtrip. You determine that the distance you need to drive is 660 miles and that you can ave

iris [78.8K]

Answer:

11 hours

Step-by-step explanation:

Find how many hours the trip will take by dividing the number of miles by the rate in miles per hour:

660/60

= 11

So, the trip will take 11 hours

8 0

3 years ago

A high school senior applies for admission to college A and to college B. He estimates that the probability of his being admitte

Fiesta28 [93]

The probability that he will be rejected to at least one of the colleges is 0.51.

Given probability that he will admit in A is 0.7, probability that he will not be admit in B is 0.5, probability that atleast one of his applications got rejected is 0.6.

We have to find the probability that he will be rejected to at least one of the colleges.

Probability that he will admit in A =0.7

Probability that he will not admit in A=1-0.7=0.3

Probability that he will not admit in B =0.5

Probability that he will admit in B=1-0.5=0.5

Probability that he will be rejected to at least one of the colleges=probability that he will admit in A* probability that he will not admit in B+ probability that he will admit in B* probability that he will not admit in A+ probability that he will not admit in A* probability that he will not admit in B

=0.7*0.5+0.5*0.3+0.5*0.3

=0.35+0.15+0.15

=0.51

Hence the probability that he will be rejected to at least one of the colleges is 0.51.

Learn more about probability at brainly.com/question/24756209

#SPJ4

4 0

2 years ago