1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
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

You might be interested in
I'm thinking of a number. This number is 12 less than its square. What could my number be?
omeli [17]

let nwmber to be X

the number is 12 less than it's square,

so X=12-X^2

=> X^2+X-12=0

=> (X+4)(X-3)=0

=>X= 3, or X=-4

in math we don't usually take negative numbers into account so your number would be 3

5 0
2 years ago
Solve: <br>x + y = 7<br>3x - 2y = 11<br><br>By using Substituting method.​
Salsk061 [2.6K]

\large\underline{\sf{Solution-}}

\sf  \longmapsto x + y = 7 \: \: - - - (i)

\sf  \longmapsto 3x - 2y = 11 \: \: - - - (ii)

<u>By first equation,</u>

\sf  \longmapsto x + y = 7

\sf  \longmapsto x = 7 - y

<u>Now, we can find the original value of y.</u>

\sf \longmapsto 3x - 2y = 11

\sf  \longmapsto 3(7 - y) - 2y = 11

\sf  \longmapsto 21 - 3y - 2y = 11

\sf  \longmapsto 21 - 5y = 11

\sf  \longmapsto - 5y = 11 - 21

\sf  \longmapsto - 5y =  - 10

\sf  \longmapsto y = \dfrac{ - 10}{ - 5}

\sf  \longmapsto y = 2

<u>Now, we can find the original value of x.</u>

\sf  \longmapsto x + y = 7

\sf  \longmapsto x + 2 = 7

\sf  \longmapsto x = 7 - 2

\sf  \longmapsto x = 5

Therefore, the values of x and y are 5 and 2 respectively.

8 0
2 years ago
Read 2 more answers
HELP WITH FINANCIAL LIT--WILL MARK BRANLIEST--
Dominik [7]
1. Go on a vacation that costs $3,500 
Paying off money for buying a car will not decrease your net worth as you get the car as assets for the money you use. But the depreciates 20% will cause you to lose $3,000 assets. Assuming you are not buying assets at all, go on a vacation that costs $3,500 will increase liability without any effect on assets. Paying up bills will decrease your asset but it also decreases your liability so the net worth wouldn't change. 

2. 1) higher 2) lower
Subprime lending is lending money to people with a low credit score that was not really fit for the credit. This means the risk of getting the money back would be higher than prime lending. Since the risk of losing the money is higher, the interest should be higher than prime lending.

3. $200,000
The house price is $250k and the buyer put 20% down which is; 20%*$250k= $50k
Then the rest of the money that needs to be paid by the mortgage would be: $250k-$50k=$200k

4. Lower, Increase
In variable rate loans, the interest will be adjusted by the market. That means the rates will be unpredictable since it was based on the condition of the market. It will be safer for the creditor since he/she will absolutely get the revenue no matter how the market goes. This change is a bit dangerous for the borrower because the number of rates can increase dramatically. 

5. Higher, lower
When you pay 30 years mortgage, the total loan is divided by 30 years which was 2 times more than 15 years. Excluding the rates, you can estimate that the 15 years mortgage payment will be twice than 30years mortgage. The total cost would also be lower since the interest rate is applied for 15 years, about half than 30 years.

6. Negative $3,500
Net worth is assets minus liability.
The list of the assets would be: 
$500 in short-term savings
$5,000 in her retirement savings account
Total assets= $500+$5,000= $5,500

The list of liability would be:
$1,500 in credit card debt
student loan debt of $7,500

Total liability= $1,500+ $7,500= $9,000Net worth= $5,500- $9,000= - $3,500
3 0
3 years ago
Read 2 more answers
In 1999. Sara and her brother Xzavier got money when their rich uncle died. They
Hunter-Best [27]

Answer:

$406,300

Step-by-step explanation:

$2,700 + $3,600 = $6,300

$400,000 + $6,300 = $406,300

3 0
3 years ago
Simplity (4.5)(5)(-2)<br> O45<br> 045<br> 0-45<br> -45
AveGali [126]
The answer is -42 just just multiply
7 0
3 years ago
Other questions:
  • Which of the following Platonic solids is also a pyramid? A. tetrahedron B. Hexahedron C. octahedron D. Icosahedron E. dodecahed
    12·2 answers
  • (8x+4) - (3x-12)<br> A. -5x - 16<br> B. 11x - 8<br> C. 5x + 16<br> D. 5x - 16
    5·2 answers
  • PLEASE HELP ILL GIVE BRAINLIEST
    12·1 answer
  • Solve for x : 7x-8a = 3x+24a
    10·1 answer
  • I wants to know please the questión 3
    5·1 answer
  • 5P
    13·1 answer
  • According to the property √a/√b=√a/b, which choice is equivalent to the quotient below? √35/√7​
    10·1 answer
  • A teacher wrote this experssion on the board (-6)(2)+(-8÷4) what is the vaule of this expression
    14·1 answer
  • Gwen takes out a loan of $400 to pay for an online course. Flat rate interest is charged at 8% p.a
    7·1 answer
  • Joey had eight pencils in the morning. He gave some pencils away to friends who needed them. To determine the number of pencils
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!