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
marin [14]
3 years ago
6

A jar of alphabet tiles contains 10 unique consonant tiles and 5 unique vowel tiles.

Mathematics
2 answers:
vladimir2022 [97]3 years ago
7 0

Answer: Probability that 3 are consonants and 2 are vowels is 0.3996.

Step-by-step explanation:

Since we have given that

Number of unique consonant tiles = 10

Number of unique vowel tiles = 5

Total number of tiles = 10+5=15

we need to pick 5 tiles randomly,

So, Probability that 3 are consonants and 2 are vowels is given by

\frac{^{10}C_3\times ^5C_2}{^{15}C_5}\\\\=\frac{\frac{10\times 9\times 8}{3\times 2\times 1}\times \frac{5\times 4}{2\times 1}}{\frac{15\times 14\times 13\times 12\times 11}{5\times 4\times 4\times 3\times 2\times 1}}\\\\=0.3996

Hence, Probability that 3 are consonants and 2 are vowels is 0.3996.

frez [133]3 years ago
6 0

Answer:

\bf\text{The required probability = }\frac{400}{1001}

Step-by-step explanation:

This problem can easily be solved by using Hyper geometric Distribution :

Total number of tiles, N = 15

Number of tiles picked, n = 5

Number of successes, initially , k = 10

Number of successes for which to find, r = 3

Now, we need to calculate P(r = 3)

\implies P(r = 3)=\frac{_r^n\txterm C \times _{k-r}^{N-n}\txterm C}{_k^N\txterm C}\\\\ \implies P(r=3)=\frac{_3^5\txterm C \times _{7}^{10}\txterm C}{_{10}^{15}\txterm C}\\\\ \implies P(r=3)=10\times\frac{120}{3003}\\\\\implies P(r=3)=\frac{400}{1001}

\bf\text{Hence, The required probability = }\frac{400}{1001}

You might be interested in
0.6 is the cube root of what value
Delvig [45]
Is there choices ? I got 0.216
8 0
3 years ago
Read 2 more answers
What is 154 ÷ 10? A. 0.154 B. 1.54 C.15.4 D.154
Bezzdna [24]

Answer:

15.4

Step-by-step explanation:

154 / 10 = 15.4

If you're ever dividing any number and it isn't a multiple of 10 you just move the decimal over to the left once.

5 0
3 years ago
Read 2 more answers
In a 100-percent-reserve banking system, if a customer deposits $100 of currency into a bank, then the money supply:
Nataliya [291]

Answer:

Option D.

Step-by-step explanation:

The total stock of currency and other liquid instruments circulating in the economy of a country as of a particular time is known as money supply.

If the reserve requirements of banks is least then banks are able to loan more money, that will increases the overall supply of money in the economy.

In 100% reserve banking system, 100% amount of each depositor's funds would be required to keep by bank for immediate withdrawal on demand.

100% reserve banking system is also known as Full-reserve banking system.

It means, if a customer deposits $100 of currency into a bank with 100% reserve banking system, then the money supply remains the same.

Therefore, the correct option is D.

5 0
3 years ago
3x+(2-4x) step by step​
aleksandrvk [35]

First distribute the invisible 1 to the numbers in the parenthesis.

3x + 2 - 4x

Combine like terms.

-x + 2

3 0
3 years ago
Read 2 more answers
Choose the solutions of the following systems of equations x^2+y^2=6 and x^2-y=6
den301095 [7]

Answer:

The solutions are (-√6,0) and (√6,0)

(-√5,-1) and (√5,-1)

Step-by-step explanation:

The equations are:

{x}^{2}  +  {y}^{2}  = 6

and

{x}^{2}  - y = 6

We make y the subject in the second equation to get;

y =  {x}^{2}  - 6

We substitute into the first equation to get:

{x}^{2}  +  ({x}^{2}  - 6 )^2= 6

x =  \pm \sqrt{6}

and x =  \pm \sqrt{5}

The solutions are (-√6,0) and (√6,0)

(-√5,-1) and (√5,-1)

7 0
3 years ago
Other questions:
  • What is the square root of 144444444453?
    6·2 answers
  • What is the answer to 16*40?
    11·2 answers
  • in a jumping contest marcus jumped 1.02 meters Gustavo jumped 1.29 meters and Loreena jumped 1.202 meters. Who won the jumping c
    12·1 answer
  • The gas mileage of an SUV is 15.25 Miles per gallon. The gas mileage of a car is 26.4 Miles per gallon. How much farther will th
    6·2 answers
  • What is one possible dividend, greater than 1000, if quotient is37 R4
    11·1 answer
  • Find cos -15 degrees
    15·1 answer
  • Ming wrote the table of points below.
    5·1 answer
  • Select the correct answer.
    15·2 answers
  • The Fuschia Bot clicks ____ times in 0.75 sec, and its Unit Rate is 8 clicks per second. Find the number of clicks.
    12·1 answer
  • A company's sales equal $60,000 and cost of goods sold equals $20,000. Its beginning inventory was $1,600 and its ending invento
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!