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Flura [38]
3 years ago
6

Ivan is getting ready for a long road trip. He wants to pack a few books from his collection of 5 novels and 7 collected short s

tories books. He asks his friend to select a book without showing. From the remaining books, Ivan then himself picks a random book, which turns out to be a novel. The third book that he randomly selects from the remaining ones is also a novel. Find the probability that Ivan will have 3 novels to read during the road trip.
Mathematics
1 answer:
aliya0001 [1]3 years ago
4 0

Answer:

The probability that Ivan will have 3 novels to read during the road trip is 0.0455

Step-by-step explanation:

Given;

number of novels = 5

number of short stories = 7

total  number of books = 12

The probability that Ivan's friend pick's a novel = 5 / 12

The probability of Ivan's first pick to be a novel = 4 / 11

The probability of Ivan's second pick to be a novel = 3 /10

The probability that Ivan will have 3 novels to read during the road trip is given by;

= p(Ivan's friend pick) and P(Ivan's first pick) and P(Ivan's second pick);

= \frac{5}{12}*\frac{4}{11}*\frac{3}{10}\\\\   = \frac{1}{22}\\\\ = 0.0455

Therefore, the probability that Ivan will have 3 novels to read during the road trip is 0.0455

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factorise the following 1. x²-2x+15.... 2. y²-19y+90​
Marta_Voda [28]

Answer:

1. x²-2x+15

This can't be factored, I've tried multiple ways now, but it just can't be factored.

2. y²-19y+90​

Let's factor y^2−19y+90

y^2−19y+90

The middle number is -19 and the last number is 90.

Factoring means we want something like

(y+_)(y+_)

Which numbers go in the blanks?

We need two numbers that...

   Add together to get -19

   Multiply together to get 90

Can you think of the two numbers?

Try -9 and -10:

   -9+-10 = -19

   -9*-10 = 90

Fill in the blanks in

(y+_)(y+_)

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(y-9)(y-10)

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Given the following relations on the set of all people. Check ALL correct answers from the following lists: (a) a is older than
aliina [53]

Comlete question is;

Given the following relations on the set of all people. Check ALL correct answers from the following lists:

(a) a is older than b;

A. antisymmetric

B. irreflexive

C. transitive

D. reflexive

E. symmetric

(b) a and b have a common grandparent;

A. reflexive

B. symmetric

C. irreflexive

D. transitive

E. antisymmetric

(c) a has the same first name as b;

A. reflexive

B. irreflexive

C. transitive

D. symmetric

E. antisymmetric

(d) a and b were born on the same day;

A. symmetric

B. reflexive

C. transitive

D. antisymmetric

E. irreflexive

Answer:

a) Options A, B & D.

b) Options C & D.

c) Options C, D & E

d) Options A, B & C

Step-by-step explanation:

a) Options A, B & D.

- It's irreflexive because b is not older than a.

- It's transitive because if a is older than b as we are told and b is older than c, then we can say that a is older than c.

- It's antisymmetric because if a is older than b, then we can say that b is not older than a.

b) Options C & D.

- It's symmetric because if a & b have a common grandparent, then we can say that b and a have a common grandparent.

- It's reflexive because a and b have common grandparents and thus implies all of a's grandparents.

c) Options C, D & E are correct.

It could be Transitive, symmetric or antisymmetric.

d) Options A, B & C are correct.

5 0
3 years ago
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