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
shtirl [24]
3 years ago
8

To win at LOTTO in one​ state, one must correctly select 4 numbers from a collection of 50 numbers​ (1 through 50​). The order i

n which the selection is made does not matter. How many different selections are​ possible?
Mathematics
1 answer:
Oksana_A [137]3 years ago
4 0

Answer:

230,300 different selections.

Step-by-step explanation:

If the order does not matter, the number of possible different selections is determined as the combination of choosing four numbers out of 50:

n=\frac{50!}{(50-4)!4!}\\\\n=\frac{50*49*48*47}{4*3*2*1} \\\\n=230,300\ combinations

There are 230,300 possible different selections.

You might be interested in
Write 40% as a fraction in simplest form.
professor190 [17]

Answer:

4/10

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
A basketball player has made​ 70% of his foul shots during the season. If he shoots 3 foul shots in​ tonight's game, what is the
yulyashka [42]

Answer:

There is a 34.3% probability that he makes all of the​ shots.

Step-by-step explanation:

For each foul shot that he takes during the game, there are only two possible outcomes. Either he makes it, or he misses. This means that we use the binomial probability distribution to solve this problem.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinatios of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

In this problem we have that:

n = 3, p = 0.7

What is the probability that he makes all of the​ shots?

This is P(X = 3).

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 3) = C_{3,3}.(0.7)^{3}.(0.3)^{0} = 0.343

There is a 34.3% probability that he makes all of the​ shots.

7 0
3 years ago
Which of the following triangles are impossible to draw?
Dahasolnce [82]
The answers, that you are seeking for my friend, are a, b, and d

6 0
3 years ago
Maya is solving the quadratic equation by completing the square.
kvasek [131]

Step-by-step explanation:

factor 4 out of the variable terms, as this helps.

but my approach is simply to define the target and then calculate "backwards".

we want to find

(ax + b)² = a²x² + 2abx + b²

and now we compare with the original equation :

a²x² = 4x²

a² = 4

a = 2

2abx = 16x

2×2×bx = 16x

4b = 16

b = 4

b² = 16, but we have only 3, so we need to subtract 16-3 = 13 from the completed square.

so, our equation is

(2x + 4)² - 13 = 0

(2x + 4)² = 13

2x + 4 = sqrt(13)

2x = sqrt(13) - 4

x = sqrt(13)/2 - 2

6 0
2 years ago
Give letter answer if you give equations rewritten I will give extra points :)
Flauer [41]

Answer:

a) -3x -2y = 12

b) 10x = -15y + 60

c) 6x +9y = 18

7 0
3 years ago
Read 2 more answers
Other questions:
  • How many feet are in 30 yards?
    13·1 answer
  • The Wing Station wants the average price of the lunch meal deals to be $8.
    9·1 answer
  • Must a function that is decreasing over a given interval always be negative over that same interval ? Explain
    10·2 answers
  • You tell me can A triangle can be formed with side lengths 4 in, 5 in, and 8 in.
    9·1 answer
  • 20 - 200<br><br> Is it negative or positive
    12·2 answers
  • 14n = -126<br> Need Hell ASAP<br> Algebra Quiz
    10·2 answers
  • Find 18.2% of 25000<br>please and fast I'm in assessment​
    6·2 answers
  • Simplified<br> Quickly please
    10·1 answer
  • What is D=2.5(8)+13.3
    8·1 answer
  • 12 What is the solution to this equation?
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!