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
Lerok [7]
3 years ago
15

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

probability that he makes all of the​ shots?
Mathematics
1 answer:
yulyashka [42]3 years ago
7 0

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.

You might be interested in
WXY is a right triangle. <br><br> A. True. <br> B. False.
lora16 [44]

Answer:

B. False


Step-by-step explanation:

According to pythagorean theorem, for this to be a right triangle, the sum of  square of the length of the two legs must equal square of the length of the hypotenuse (longest side).

So  (\sqrt{34} )^{2}  should equal  (\sqrt{18} )^{2}+(\sqrt{18} )^{2}

  • <em>We also know that  (\sqrt{a} )^{2}=(\sqrt{a})(\sqrt{a})=a</em>

Hence,  (\sqrt{18} )^{2}+(\sqrt{18} )^{2}=18+18=36  , and

(\sqrt{34} )^{2}=34

They ARE NOT EQUAL, so the triangle is NOT a right triangle.

5 0
2 years ago
Read 2 more answers
Turn the sentence into an expression please
Hatshy [7]

Answer:

x + 5x

Step-by-step explanation:

X is the variable in this case, or 'a number.' This number x is added to the product of 5 and the number, or 5x. Therefore the expression is x+5x. It can also be simplified to 6x.

7 0
2 years ago
What is the correct value of x in the triangle
seraphim [82]

Answer: 4

Step-by-step explanation:

Using the 30°-60°-90° Triangle Theorem we know that the base side is half of the hypotenuse. That means it is half of 8 which is 4

4 0
3 years ago
CO
8090 [49]

Answer:

A( multiply both sides by 6)

As seen , the L.C.M is 6 so to do away with the fractional form, we will multiply by 6

5 0
3 years ago
Hellllppppp meeeeeee plzzzzz fasttttt
valentinak56 [21]

Answer:

A rate: a measure, quantity, or frequency, typically one measured against some other quantity or measure.

A unit rate: When rates are expressed as a quantity of 1, such as 2 feet per second or 5 miles per hour, they are called unit rates. If you have a multiple-unit rate such as 120 students for every 3 buses, and want to find the single-unit rate, write a ratio equal to the multiple-unit rate with 1 as the second term.

Hope this helps.



4 0
3 years ago
Other questions:
  • Sam was still finishing his breakfast when his brother Leo left for school. Sam started to run after Leo when Leo was already 10
    11·2 answers
  • A ship is sailing on the sea. It travels 50 miles at 60° to the horizontal. Then the ship travels 90 miles at 30° to the horizon
    10·1 answer
  • Plz help best answer gets brainly
    6·1 answer
  • My son and I are stuck on this one. Can anyone give some insight to this problem? Thank you.
    9·1 answer
  • Which shows the best path to conert 100 liters to pints
    6·2 answers
  • Angelica is five years less than double Jahiem’s age. Jahiem is 14 years old. How many years old is Angelica?
    13·1 answer
  • Find the local maximum and minimum values of f(x)=x^3-6x^2+5
    10·1 answer
  • If a horse goes 300 miles in 2 hours, how long will it take to go 500 miles
    14·2 answers
  • Seth's balcony is 7 feet wide and 14 feet long. Seth paid $4.00 per square foot to have the
    15·1 answer
  • A recent poll found that 35% of those surveyed are worried about aggressive drivers on the road. If three people are selected at
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!