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
Gnom [1K]
3 years ago
11

A lottery has 60 numbers. To win the jackpot one needs to match all 7 numbers that are drawn by the machine. Is this a PERMUTATI

ON or a COMBINATION problem? What is the “chance” (or, more mathematically speaking, what is the probability) to hit the jackpot?
Mathematics
1 answer:
Vadim26 [7]3 years ago
4 0

Answer: Hence, our required probability is \dfrac{1}{386206920}

Step-by-step explanation:

Since we have given that

Numbers in a lottery = 60

Numbers to win the jackpot = 7 numbers

We need to find the probability to hit the jackpot:

So, our required probability is given by

P=\dfrac{^7C_7}{^{60}C_7}\\\\P=\dfrac{1}{386206920}

This is a combination problem as we need to select 7 numbers irrespective of any arrangements.

Hence, our required probability is [tex]\dfrac{1}{386206920}[/tex

You might be interested in
A rectangle or exercise mat has a perimeter of 48 feet the length of the mat Is twice The lift right and solve any questions to
Misha Larkins [42]

Answer:

The equation to determine the length is 4w+2w=48.

The Length of the exercise mat is 16 feet.

Step-by-step explanation:

Given:

Perimeter of Rectangular mat = 48\ ft

Let the length of the mat be denoted by 'l'

And width be denoted by 'w'.

Also Given:

The length of the mat is twice the width of the mat.

So we can say that;

l=2w  ⇒ equation 1

Now we know that;

Perimeter of Rectangle is equal to twice the sum of length and width.

framing in equation form we get;

2(l+w)=48 ⇒ equation 2

Now Substituting equation 1 in equation 2 we get;

2(2w+w)=48

Applying Distributive property we get;

2\times2w+2\times w=48\\\\4w+2w=48

Hence, The equation to determine the length is 4w+2w=48.

On Solving the above equation we get;

4w+2w=48\\\\6w=48

Dividing both side by 6 we get;

\frac{6w}{6}=\frac{48}{6}\\\\w=8\ ft

Now Substituting the value of 'w' in equation 1 we get;

l=2w=2\times8=16\ ft

Hence The Length of the exercise mat is 16 feet.

3 0
3 years ago
A one year member ship to your local gym costs $539. there is an initial fee of $35. write an equation tou can use to fund out h
stich3 [128]
$539 - $35 = $504

$504 : 12 = $42

Per month you pay $42.
4 0
2 years ago
2 times the difference between 49.5 and 37.5
Xelga [282]
I belive the answer would be....
49.5-37.5=12
2•12=24
6 0
3 years ago
Read 2 more answers
X to the power of 3=64?​
dangina [55]

Answer:

4

Step-by-step explanation:

x^3 = 64

4^3 = 64

4×4×4 = 64

Thus, the value of x is 4

3 0
3 years ago
I give brainlilest
timurjin [86]

Answer:

7 days or 2 days (depending on context)

Step-by-step explanation:

15 liters a day ÷ 5 days= 3 liters a day

21÷3=7

if she just wanted to make 6 more to make 21, then it would take 2 days.

6 0
3 years ago
Other questions:
  • A bike rental company charges $60 for the first hour, and $25 for each additional hour. Michael wants to spend less than $200 on
    14·2 answers
  • Diane, Jose, and Bill have a total of $109 in their wallets. Bill has 3 times what Jose has. Diane has $6 less than Jose. How mu
    11·1 answer
  • Please help t - 76 = 0 t = ______
    5·1 answer
  • Suppose James has a credit card with a balance of 4289 . Each month the credit card company charges 5% interest. If James pays o
    11·1 answer
  • Please HELP!!! Pressed on the picture please!​
    8·1 answer
  • How to simplify -(-7y+12)
    6·1 answer
  • If f(x) = x^2+ 3x + 5 what is f(3+h)?
    8·1 answer
  • What is 2/3 simplified and divided please show steps
    14·2 answers
  • Sin 15° sin 45º = V3 – 1/4​
    9·1 answer
  • (girls only) drop ur ig (I’m a girl btw :)))
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!