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
Oxana [17]
3 years ago
8

In one​ lottery, a player wins the jackpot by matching all five numbers drawn from white balls​ (1 through 45​) and matching the

number on the gold ball​ (1 through 35​). If one ticket is​ purchased, what is the probability of winning the​ jackpot?
Mathematics
1 answer:
EastWind [94]3 years ago
6 0

Answer:

the probability of winning the​ jackpot is <em>1 in 42 761 565</em>.

Step-by-step explanation:

The number of ways to select five numbers from 45 is:

ⁿCₐ = n! / (n - a)! × a!

where

  • a is the number of objects
  • n is the number of distinct objects

Therefore,

⁴⁵C₅ = 45! / (45 - 5)! × 5!

      = (45 × 44 × 43 × 42 × 41) / (5 × 4 × 3 × 2 × 1)

      = 1221759

There are 35 ways to select a gold ball. Therefore, the total number of ways to get 6 matching numbers is:

1221759 × 35 = <em>42 761 565</em>

You might be interested in
How do I solve this math problem 5/6n=10​
GaryK [48]

Answer:

Step-by-step explanation:

5/6n=10​

Cross multiply

5 = 10×6n

5 = 60n

n = 5/60

n = 1/12

7 0
3 years ago
Read 2 more answers
Help! Please Geometry
Alchen [17]

ANSWER—46

Step-by-step explanation:

*All the angles in a triangle add up to 180 degrees.*

Let The wanted angle be x,

Then x+98+36=180. Solve for x.

6 0
3 years ago
Select three ratios that are equivalent to <br> 4:3 <br> Choose 3 answers:
postnew [5]
Ratios equivalent to 4:3 would be 8:6 16:12 and 24:18
6 0
3 years ago
Read 2 more answers
Tickets to a show cost $5.50 for adults and $4.25 for students. A family is purchasing 2 adult tickets and 3 student tickets.
jarptica [38.1K]

The exact cost is $23.75 for the show, and the exact change they should get is $1.25.

An adult ticket to the show costs $5.50

A student ticket to the show costs $4.25.

A family buys two adult tickets and three student tickets. This would imply that the total cost of two adult tickets would be

⇒ 2 × 5.5 = $11

It also implies that the total cost of three student tickets is

3 × 4.25 = $12.75

The total cost of two adult tickets and three student tickets is

⇒ 11 + 12.75 = $23.75

If the family pays $25, the exact change they should get is

⇒ 25 - 23.75 = $1.25

Thus, the exact cost is $23.75 for the show, and the exact change they should get is $1.25.

Learn more about Arithmetic operations here:

brainly.com/question/25834626

#SPJ1

5 0
1 year ago
Solve t/he system of linear equations given by x + y = 1 and ax − by = c, where a, b, c are real numbers. Note: The solution in
Phantasy [73]

Answer:

see explanation

Step-by-step explanation:

Given the 2 equations

x + y = 1 → (1)

ax - by = c → (2)

In (1) subtract y from both sides

x = 1 - y → (3)

Substitute x = 1 - y into (2)

a(1 - y) - by = c ← distribute left side

a - ay - by = c ( subtract a from both sides )

- ay - by = c - a ( multiply through by - 1 )

ay + by = a - c ← factor out y from each term on the left side

y(a + b) = a - c ← divide both sides by (a + b)

y = \frac{a-c}{a+b} ← substitute into (3)

x = 1 - \frac{a-c}{a+b} = \frac{a+b}{a+b} - \frac{a-c}{a+b} = \frac{a+b-a+c}{a+b} = \frac{b+c}{a+b}

8 0
3 years ago
Other questions:
  • 4 times an even integer is 30 less than 5 times the next consecutive even integer
    11·2 answers
  • If 1 is added to the numerator and to the denominator of a fraction,the value obtained is 4/5.If 5 is subtracted from it's numer
    14·1 answer
  • If 4x - 2 is 4 less than 10, what is 8x?
    13·1 answer
  • 7th grade math problem! Please help!
    6·1 answer
  • S = 1 / g t ² π, solve for t​
    13·2 answers
  • Ashton is thinking of a number. When she divides it by 7, she gets a quotient of 7.35. What number is Ashton thinking of?
    9·2 answers
  • Write an equivalent expression so that each factor has a single power. Let m, n, and p be numbers.
    13·2 answers
  • Put in Standard form: y – 4 = 3(x+5)​
    13·2 answers
  • the highest temperture ever recorded in continent was 45 celcius and lowest was-55 C what are corressponding tempurtures in degr
    15·1 answer
  • The five-number summary for a data set is given by min = 5, Q1 = 18, median = 20, Q3 = 40, max = 75. If you wanted to construct
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!